diff --git "a/data/dm_maths/full_data_2/11167_11255.jsonl" "b/data/dm_maths/full_data_2/11167_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11167_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n = -918 - 2283. Let f = n + 4516. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393, -1610, -3843, -7260, -12029, -18318?\nAnswer: -26295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 131, 465, 1023, 1805?\n\"Answer: 112*m**2 - 2*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9849.91 + -9728. What is s rounded to zero dps?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 3*b**2 - 4*b + 4. Let r be p(3). Let h = r + 3. Which is greater: h or -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2701, -2706, -2711, -2716, -2721, -2726?\nAnswer: -2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/594)\/(1*(-15)\/4).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312840.\nAnswer: 2, 5, 23, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k**3 + 6*k**2 + 6*k + 6. Let v(y) be the third derivative of 13*y**6\/120 - 7*y**5\/60 - 7*y**4\/24 - 7*y**3\/6 + 146*y**2. What is 7*i(t) + 6*v(t)?\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20732 + 38385. What are the prime factors of d?\nAnswer: 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4 + 1 + sqrt(75) + sqrt(75))*-3)**2.\nAnswer: 780*sqrt(3) + 2869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8)\/((-13)\/(-8) - (79 - 77))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 2*g**4\/3 + g**3\/2 + g**2 - 5*g. Let o(k) = -2*k - 3. Calculate the least common multiple of o(-3) and s(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 2*l. Let m be q(2). Let t be ((-12)\/(-5))\/(6\/m). Solve -10 = -3*p + 2*j, 2*j + 18 = -3*p + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfvqfqqfbfbkfuv. What is prob of sequence bb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6. Let t(z) = -z + 1. Let q be t(d). Let r be -1*1*(-6 + 5). Sort q, r, -3 in ascending order.\nAnswer: -3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 4. Find the third derivative of -2*l**2 + 0*l**6 + 8*l**2 + 10*l**u + 2*l**6 wrt l.\nAnswer: 1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/10401720 and -1\/588?\nAnswer: 10401720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.550429 + -54.445671. Let u = 55 + c. What is u rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-1\/8)*h\/((((h\/(h**(-3\/7)*h))\/h)\/h*h*h)\/h)*(h\/(h*h**(-2)\/h))\/h)\/(((h*h**(-4))\/(h\/h**5))\/(h\/h**0*h)**13) assuming h is positive.\nAnswer: h**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 2:56 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*s - 157592 = 35579 + 117537. Calculate the remainder when s is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5871a357 + -5?\nAnswer: -5871a35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(((-807)\/1076)\/((-6)\/16*(-18)\/9))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 1.04. Let a = -1.16 + z. Let j = -10.7 + 10.3. What is the nearest to 17 in -4, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*w - 3, -5*w - 4 = -l + 5. Let y be (0\/w - -1)\/((-8)\/(-88)). What is the second derivative of -y*j - 132*j**5 + 112*j**5 - j**3 + j**3 wrt j?\nAnswer: -400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350862744 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 9*w**2 + 9*w. Let h(l) = -l**3 + 8*l**2 + 8*l. What is 6*a(y) - 7*h(y)?\nAnswer: y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 - 40478*c**2\/5.\nAnswer: c**2*(c - 40478)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -698.13458?\nAnswer: 697.73458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 15 + 13 - 9 + 6 in the form m + n*o and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t**4 - 2*t**3 - 2*t - 5. Let a(y) = -8*y**4 - 3*y**3 - 3*y - 4. Let p(l) = 2*a(l) - 3*c(l). What is the first derivative of p(j) wrt j?\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -5*r**4\/12 - r**3\/2 + 13703*r**2. Let p(j) = -161*j - 49. Let k = -114 - -163. Determine k*y(w) - 3*p(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + -2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/6)\/(2\/(-9)). Suppose -2*t + 5*l = -66, 4*l = -0*t - t + 20. Calculate the greatest common divisor of d and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50726287 - 1?\nAnswer: 50726286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159106 and 12561.\nAnswer: 477318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**(1\/35)\/(g*g**2*(g*g\/g**8*g)\/g) assuming g is positive.\nAnswer: g**(211\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -153, -202, -271, -360, -469, -598?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 760?\nAnswer: 75e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45664.40018 - -45670.2. Let p = 5.8 - b. Round p to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-12)*c**(-6\/7))**(-22))**34 assuming c is positive.\nAnswer: c**(67320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -56?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 14*t**2 + 2 + 0 + 9*t**2 - 2*t**4 + t**3 to n*t**4 + f + z*t**2 + h*t + j*t**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 102. Let m = 78 - 78.088. Let t = 4.912 - m. Sort -2\/11, z, t in decreasing order.\nAnswer: t, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60886540 divided by 3044327.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 6*u - 6*u - 6*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -297 divided by 11\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253306 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = g + 4*z + 99, -40 = -5*g - 2*z for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*y**2 + 813 - 813 - 3*y**3.\nAnswer: -3*y**3 + 441*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811943 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 893749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, 6981522 in decreasing order.\nAnswer: 6981522, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1140981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -317 bigger than -689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/9)\/((-187)\/63 + 3). Let n(d) = -2*d. Let a be n(-3). Calculate the greatest common divisor of a and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 1, 4, -25, -4 in descending order.\nAnswer: 4, 1, -2, -4, -13, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/4*(-3)\/(6\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 + 195. Let d be 30\/12*r\/15. Solve -d = -4*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*-3*((-220)\/(-20))\/(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12021102 (base 3) to base 6\nAnswer: -25445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxvszjvz. Give prob of picking 1 c, 2 v, and 1 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:38 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5312 + 5312 + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzm when three letters picked without replacement from mmvzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 83*g + 5. Let o be p(-4). What is the second derivative of 62*a - 57*a**3 + 385*a**2 + 14*a - o*a**2 wrt a?\nAnswer: -342*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.53 + -0.47. Which is the nearest to -1? (a) f (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*z - 8, -3*j + 0*z + 15 = -3*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 640 - 596. Calculate the greatest common factor of 20 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 = 7. Suppose z*r - 117 = -r - 5*s, 0 = 5*s. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jln when three letters picked without replacement from {o: 8, l: 1, p: 1, n: 6, j: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4866905 to the power of 1\/2, to the nearest integer?\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/14 and 85\/7911696.\nAnswer: 55381872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1332120\/(-130600)*(-1)\/((-9)\/10*2\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001593423 rounded to 6 dps?\nAnswer: -0.001593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63188493.\nAnswer: 3, 239, 88129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4144 + -2?\nAnswer: 4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(1\/2)*t*t\/(t**(7\/3)\/t*t))\/(((t\/(t**(2\/29)\/t))\/t)\/((t\/(t*t\/(t\/(t*t**(-9)*t))))\/t)) assuming t is positive.\nAnswer: t**(1259\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = -35*x + 240. Let b(o) = 7*o + 2. Let z(s) = -s**2 - 14*s - 5. Determine x*b(l) + 2*z(l).\nAnswer: -2*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-4) + 1\/(-2). What is the units digit of (-1 - 2)*(2 + h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8 = -3*m - 2*v, -3*m - 5*v = 7. Solve -18 + m = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101546 + 264733 = 2064*k - 98941 for k.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27083 * 8.\nAnswer: -216664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -132*a - 1. Let v be n(-1). Suppose 3*r - v = 91. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a = -0*a + 192. Let s(t) = -2*t**2 + t + 3. Let o(g) = -g**2 + g + 2. What is a*o(z) - 2*s(z)?\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 799 + -1908. Let y = x - -2296. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27110, -54222, -81338, -108458, -135582?\nAnswer: -162710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 13220699?\nAnswer: 18\/13220699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 904041.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 9*y**2 - 13*y - 12. Calculate the remainder when 52 is divided by a(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14286600 + 13986583597\/979. Let w = -46\/89 + m. Calculate the common denominator of w and 24\/(-84) - (-223)\/70.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -36. Let n(a) = 3*a**2 - 3*a - 7. Let r(l) be the third derivative of l**5\/15 - l**4\/6 - 5*l**3\/3 - 156*l**2. Give h*r(q) - 7*n(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.86, -8, 4, -212.\nAnswer: -212, -8, -0.86, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 482924 = 4*o, -241457 = o - 3*o + 3*f. Suppose i + o = -12264. Round i to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {o: 1, t: 4, y: 3, r: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 18. Let t = 10 - i. Solve -2*s - 3 = t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = -3*q - 9, q = 5*w - 19. Suppose w*m + 227 = k, 3*m + 4*k + 113 + 43 = 0. Let u = m + 80. Calculate the greatest common divisor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihdiihdvi. Give prob of sequence ddi.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**4)\/(u*u**3))\/(u**(2\/9)\/(u\/((u**(-4)\/u)\/u*u))))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.46 - -14.59. Round u to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 + 46 = 5*n. Let w = n - -55. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h**(3\/5))**(3\/16)\/((h**(2\/5)*h*h)**23)**(-35) assuming h is positive.\nAnswer: h**(19323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, -48\/731, -0.2, 1\/4 in increasing order.\nAnswer: -209, -0.2, -48\/731, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-2\/17) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170.251 + -170. Let s = -0.049 - p. Which is the nearest to 1\/6? (a) -3 (b) 6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(605))**2 - sqrt(5)) + -3.\nAnswer: -sqrt(5) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3140601?\nAnswer: 3, 1046867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueeueeeeueeeeeeeeee. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 4.96. Let t = 2 - 2.2. Which is the closest to 2? (a) l (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11865941?\nAnswer: 11865941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 38*n**2 + 186*n + 43. Let o be t(-23). Let f be -2 + (-4)\/(-5)*3. What is the closest to f in -5\/4, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f + 19*f - 3915. Suppose -7*k - 3*u + f = -4*k, 2*k = 5*u + 905. Is k a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 6*s**2 + s - 4. Let c = 9 + -14. Let k(b) be the first derivative of b**4\/4 - 5*b**3\/3 + b**2\/2 - 3*b + 2358. Calculate c*u(z) + 6*k(z).\nAnswer: -4*z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3\/6 - z**2 + 2*z. Let h be u(-4). Solve -2*m - 5 = 3*q, -2*m = -6*m - h*q + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/52 - 2\/13. Let u be (-3*2\/9)\/2. Let f(v) = -v**2 + v + 1. Let h be f(0). Which is the nearest to h? (a) u (b) j (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*x + 3, -x - 4 = -46*i + 44*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -10 - 1060\/(-80).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-5 + 2 + 2)*(-81*s + 14*s**3 + 81*s)*((-1 - 3 + 2)*(-1 + 1 + 2*s) - 3*s + 1 - 1)*(-12 + 16 + 32).\nAnswer: -7056*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 806170 divided by -38.\nAnswer: -21215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4095868279?\nAnswer: 677, 797, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 h when four letters picked without replacement from {h: 3, p: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1774, 9207, 25526, 53947, 97686?\nAnswer: 159959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*i**2 - 18*i**2 + 2 - 8 + 27 as b*i + h*i**2 + u and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14*d**3 - 72*d**2 + 18*d - 11. Let a(l) = 7*l**3 + 36*l**2 - 8*l + 5. Give -9*a(h) - 4*m(h).\nAnswer: -7*h**3 - 36*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0970891 nanometers?\nAnswer: 0.0000000000970891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531 = -131*m + 793. Solve 2*s + 4*q = 18, 4*s = -s - m*q + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/3)*n\/n**(-3)*n*n**3*n*n*n*n**(-7)*n assuming n is positive.\nAnswer: n**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.03 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a factor of 38630400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*j**6*x**3 - 87*j**6*x - 13*j**2*x**2 + 86*j - x**3 wrt j?\nAnswer: 7080*j**3*x**3 - 10440*j**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53043 (base 6) to base 15.\nAnswer: 21c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 181. Let z = 134.0000184 + h. What is z rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 25*o**2 + 154*o + 70. Give j(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*g - 401, 5*i + 290 = -4*g + 1001. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:45 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Let r = 332 - 334. Let o = -1.99 - -2. What is the third biggest value in o, m, r, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-630)\/(-8))\/(-9))\/((-45)\/18)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/30)\/(1\/(-10)). Let w be (n\/(-10))\/((-1)\/5). Let u be 1\/(-3)*(-7 - -16). Put w, u, 3 in decreasing order.\nAnswer: 3, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 + 8*a**2 + a. Let l(s) = 11*s**3 + 41*s**2 + 4*s + 2513. Let t(z) = -5*f(z) + l(z). What is the first derivative of t(b) wrt b?\nAnswer: -12*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*j - 227, 4*f + 5*j + 40 = 5*f. What is the greatest common factor of f and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -3\/7 (c) 0.21 (d) 3 (e) -1 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(1\/(65\/(-52))*-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -651 minus 0.1?\nAnswer: -651.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -653 - -653.2. What is the second smallest value in -1, p, -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10017 is divided by 375?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 2*m - 4*m**2 - 5*m + 3*m**2 + 10. Let w be t(-7). Suppose 74 = 4*k - 2*n, 3*k = -0*k - w*n + 33. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 48*v - 1636. Determine r(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)*y)\/y**2*((y*y**(-2\/7))\/y)**(-45))**(-7\/11) assuming y is positive.\nAnswer: y**(-899\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 449 - 3247. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330653578 a multiple of 3333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - g - 66 = 0, i + 3 = 4*g + 1. Suppose -1537 = -i*p - 529. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 - 10*a. Give o(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/16222029 and -21\/2?\nAnswer: 32444058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -51*d + 132. What is the units digit of t(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**5\/20 + a**4\/3 - 7*a**3\/6 - 5*a**2 + 171*a - 64. Let k(f) be the first derivative of p(f). Solve k(l) = 0 for l.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**3 + 117*m**2 + 97*m + 158. Calculate t(30).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011011111010 + 101?\nAnswer: 100011011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 2. Suppose -2*n + u - 12 = -6*n, -3 = -n - 2*u. Let x(y) = -24*y + 10. Calculate n*x(s) + 14*f(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**3\/3 + b**2\/2 - 42. What is p(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1989 and 30.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -42 (b) -0.4 (c) 5 (d) 0.44 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.5 + 14. Suppose -3*z + 4*d = 3 + 4, -5*z + 2*d - 7 = 0. Which is the closest to z? (a) 0 (b) 1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0912? (a) 5\/4 (b) 2 (c) 0 (d) -0.4 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11590*l**3 + 322*l + 8067383.\nAnswer: -34770*l**2 + 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/((-36)\/360).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1754 or -114?\nAnswer: 1754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8735 is divided by 2181.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 - 5*o**3 - 5*o - 38 + (-3 - 2*o**3 + 3)*(2 - 4 + 4) - 670*o + 31*o**3 + 670*o + (-5 + 5 + o)*(0*o**2 + 0*o**2 + 2*o**2).\nAnswer: 24*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62558, 129615, 196672, 263729, 330786?\nAnswer: 397843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 68 = 6*p - 4*g, p + 2*g = -38. Calculate the common denominator of (-208)\/96*(-10)\/4 and -4 + (-351)\/p - 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -992 + 1127. 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: b\"What is the kth term of 353, 2989, 10207, 24317, 47629, 82453, 131099?\n\"Answer: 385*k**3 - 19*k**2 - 2*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 49 = -4. Suppose -14*j = -9*j. Let a(y) = y**2 + 2*y - 4 + j*y**2 + 0*y + 3. Calculate a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*sqrt(243) + sqrt(3) + 2*(-2 + sqrt(3)) + sqrt(3)))**2.\nAnswer: -16704*sqrt(3) + 363888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Suppose 0*k + 10 = -5*k. Let s be ((-2)\/(-9))\/(k - -3). Which is the smallest value? (a) s (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25741697*j**2*k - 6*j*k - 2*j - 5*k - 86 wrt j?\nAnswer: -51483394*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jssj when four letters picked without replacement from {j: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 6, -4, -2, -55, -1 in ascending order.\nAnswer: -55, -4, -3, -2, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u**(4\/3))\/(u**2*u)**(-2\/9)*(u*u**(2\/23)*u*u\/u**(-2\/3))\/((u*u**8*u)\/((u**6*u)\/u)) assuming u is positive.\nAnswer: u**(117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfa when three letters picked without replacement from {w: 1, f: 8, n: 1, t: 4, a: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17*q - 2. Let y = -8 + 6. Let t be 1*y*3\/3. Let s be h(t). What is the highest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z = 4842 + 15908. List the prime factors of z.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16543560 divided by -4980.\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -2236028.386?\nAnswer: 2236029.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662 != 8663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 1787*t + 54680. Calculate a(30).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - (-810 - -804)) + -24 + 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-14 - -5 - -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1872 and -73\/232.\nAnswer: 54288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 1445\nAnswer: -4335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -19*(-80)\/(-128).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(15\/(135\/18))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 47. Suppose 6*m = k*m. Suppose -3*d - 12 = g - 3, m = -3*g - 2*d + 8. What is the least common multiple of 4 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*t - t. Suppose -4*d - 8 + 24 = 0. Suppose -d*x = -3*x - 53. Calculate the remainder when x is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-102) + (-689677)\/754392.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770759233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11949 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.3. Let y = -25.5 - -25.7. Which is the nearest to i? (a) 3 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1405 = -2*f, -4*f = s - 3067 + 282. Let d = 1079 - f. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, p: 11}. What is prob of sequence px?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3784 and 45408?\nAnswer: 45408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271547759*w**4 + 1109431533 wrt w.\nAnswer: 1086191036*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - -8) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22568 and 14924.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 4:17 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70567156?\nAnswer: 2, 11, 1603799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -172857 - -32151497\/186. Find the common denominator of i and 69\/2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, 4\/7, -0.66, 1.07, -24 in ascending order.\nAnswer: -24, -0.66, 0.3, 4\/7, 1.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302 + -1210525?\nAnswer: -1210223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 20*i - 4*k, 0 = -1789*i + 1786*i - 4*k + 30 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 111.63?\nAnswer: 110.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*o**6 - 29*o**4 - 3*o**3 - 168*o**2 + 89*o - 2 wrt o?\nAnswer: 17400*o**3 - 696*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -175584417 and -16.5.\nAnswer: -175584433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttztzttttzzt. Give prob of picking 2 z.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6 + 5*h**3 + 204 + 95*h + 9407*h**2 - 9517*h**2 = 0.\nAnswer: -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + 3.5. Let o = 6.3 - q. Let r = -3 - -2.7. Which is the third biggest value? (a) -2 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 758634093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/(x*x*x**(-1\/2)))**(-4\/19) assuming x is positive.\nAnswer: x**(8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -346, -348, -350, -352, -354?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 6706?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -41.\nAnswer: 15\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.3, -1, -5, 7, -21\/26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-10) + (-28)\/70\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -728 + 730. What is the closest to z in -0.2, 9, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:05 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8968 and 8\/11056423.\nAnswer: 88451384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 - 2*p + 2*p)*(-51 + 51 - 22*p) - p**2 + p**2 - 3*p**3 to v*p**3 + o + k*p**2 + r*p and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*v**2*z - 3062*k**2*z - 7*k*v**2*z - 2*v**2*z + v**2 + 5 wrt k?\nAnswer: -2*v**2*z - 6124*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18037 (base 9) to base 15\nAnswer: 3a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -983 + 52649?\nAnswer: 51666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2340 - -2723. What is the remainder when l is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533953029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1561 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 723762.6 micrograms?\nAnswer: 0.7237626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -71.1. Let r = f + -13.1. Put r, 1\/3, -0.5, -5 in descending order.\nAnswer: 1\/3, r, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Suppose -6 = -2*g, 5*a = -2*g - 0 + 11. Let f(h) = 2 + 3*h - 1 - a. Give z(f(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ydydyyyyyyydddyydyd?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (9 + -4 + -15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429122 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/72 and -17\/134200.\nAnswer: 1207800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*w = 305*w + 450*w - 122158 for w.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 8\/11*u**2 + 2\/33*u**3 + 5 + 24\/11*u. Suppose x(h) = 0. Calculate h.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*s - 245, 6*q + 55 = s + 2*q. Calculate the remainder when 279 is divided by s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -3254145?\nAnswer: 3254144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -1.8, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 7*h + 0*h)*(619*h**2 - 562*h**2 - 345*h**2) - 4*h**3 - h**3 + 3*h**3 as x*h**3 + n + i*h + u*h**2 and give x.\nAnswer: -4322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -154*v + 63. Is 17 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-3)*4\/10. Let g = -6 + 5. Which is the nearest to 2\/3? (a) x (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:40 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121957198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99332284*w**3 + 1042152*w**2 + 37.\nAnswer: 595993704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 13359777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2344315*o**3 - 2764144 wrt o?\nAnswer: 7032945*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 47 = -v, 0 = -4*v - v + x + 265. Suppose -v = l + 3*l. Let n = 43 + l. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020002 + 111210?\nAnswer: -201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58344 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3 + 5*k**2*r + 5*k**2 + 2*k*r - 41*r wrt k.\nAnswer: 6*k + 10*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 6*d**2 + 6. Let k(x) = 2*x - x**3 + 0 - 2 + 2*x**2 - 5*x**2. Let m be k(-4). What is the smallest common multiple of i(m) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22083.\nAnswer: 3, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose 4*l = -0*l + g*k - 18, 5*l + 4*k = 10. Does -3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - 0) - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*k - 4*k**2 - 774*k - 11*k**2 - 3*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*t = -7, -49*k + 44*k - 4*t + 7 = 0. Suppose 3*a = -a - 232. What is the remainder when 74 is divided by (-4)\/12 + k*a\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-32))\/(((-882)\/28)\/21)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*m + 892*m + 740*m + 463*m + 1 - 351*m.\nAnswer: 1415*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let b be 0 - (-3)\/(d - -3). What is the derivative of -b - 3*t**2 + 3*t**2 - t**2 wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -969\/5 >= -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:48 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-48)\/120*60\/(-3) + (0 - -15)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 1:20 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075682 - -231060.\nAnswer: 231059.924318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 * 30389\nAnswer: 13978.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 42*g + 42*g + 46*g - 118*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.45965752.\nAnswer: -0.45965752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -52.42 times 4\nAnswer: -209.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569737273.\nAnswer: 7, 439, 185401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63623359277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-108)\/(-72))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.58 + -1.42. Put -24, s, -0.1 in increasing order.\nAnswer: -24, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let j(y) = -1 + y - 3*y + 0 - 6*y**t. Let o(g) = -g**2 - g. Suppose -2*h + 9 = 5*p - 9, 2*p = 4*h - 12. What is h*o(i) - j(i)?\nAnswer: 2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, 17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 810954083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127197 and 11151?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108, 293, 1206, 2631, 4568?\n\"Answer: 256*o**2 - 367*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-8)\/4)\/(12\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -d + 3*d - 20, -16 = -d + 5*i. What is the tens digit of -20*(2 + d\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.9030953 to one dp.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-8)\/(-4))*-3. Let s(m) = m**3 + 2*m**2 - 4*m - 3. Let h be s(w). What is b in b**2 - b**5 + 3*b**4 + b**3 + 2*b**5 + 2*b**3 + h*b**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/1872 and -131\/35088.\nAnswer: 1368432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9534115 is divided by 794505.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 159482553193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 18 + y**4 + y**2 + 27 + 10 + 3*y**4 - 2*y**2 in the form l*y**2 + d*y**4 + b + g*y**3 + o*y and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d - 3. Let v = -17 - -27. Let y(p) = p**3 - 9*p**2 - 10*p + 9. Let h be y(v). Let g(m) = -6*m - 5*m - 3*m - h. Determine -4*g(b) + 11*k(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 8 = 0, 2*i + u - 2128 = 0. Suppose -4*k = -0*l - 3*l - 832, 5*k + 2*l - i = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*r + 2*m, -20 = 42*r - 44*r - 5*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11718 - 0.4.\nAnswer: 11717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 11, v: 2}. Give prob of picking 1 r and 2 v.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7224652704 to the nearest integer?\nAnswer: 84998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.53263104 rounded to 1 dp?\nAnswer: 22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 358*x**2 - 2*x + 124*x**2 + 132*x**2 + 118*x**2 to z + m*x**3 + a*x**2 + b*x and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589212*b**6*j**2 + 23*b**3*j**2 + 321*b**2*j + 11*b**2 - 3142*j**2 wrt b.\nAnswer: 70705440*b**3*j**2 + 138*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1200) + sqrt(1200)*2)\/(sqrt(32)\/(sqrt(8)*2)))**2*5.\nAnswer: 1200*sqrt(3) + 54020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-7 + -1)) + (6 - (7 - -9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**5 + 13*h**3 + 0*h**5 - h**5 - 3*h**5 - 242*h**2 - 4*h**5 wrt h.\nAnswer: 60*h**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 7:25 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/19 + 7305124*u**2\/19 - 29220472*u\/19 + 29220464\/19.\nAnswer: -2*(u - 3652558)*(u - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-10)\/(-6)) + 7 + -21 + 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -839*s + 3247. Is j(-6) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 u when three letters picked without replacement from {u: 2, y: 2, c: 3, k: 2, w: 2, l: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w**3 - 302*w**2 - 286*w + 673. Give c(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(10 - 7) - 2*1. Let n = 31 - 5. Let x = n - w. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4115 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a - 2. Let j(w) = w**2 - 14*w - 7. Give -3*j(s) + 8*o(s).\nAnswer: -3*s**2 + 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*l**3 - 19450*l**2?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 120585726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 848 = -4*o, -o + 1156 = -d + 5*d. Suppose -4*g = -0*g - d. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -764381, -6115094, -20638451, -48920774, -95548385?\nAnswer: -165107606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3393 - 3393.85. Which is the third smallest value? (a) h (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {g: 2, w: 4, e: 3, z: 2, i: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27712*h**3 - 109*h**2 + 1608*h + 447 wrt h.\nAnswer: -166272*h - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 521*f**4*i**2 + 456*f*i**2 wrt f?\nAnswer: 6252*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 - (-3 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 28 = -0. Let q(d) be the first derivative of -o - 5\/2*d**2 - d. What is the first derivative of q(v) wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 421.8 + -418.8. Put -0.08, p, 9, 7 in descending order.\nAnswer: 9, 7, p, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 0*w - 106*w**2 + 3*w - 5*w**4 - w + 108*w**2 - 9*w**4 to the form u + r*w**2 + x*w + k*w**4 + q*w**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 524986.\nAnswer: 2624930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6\/5, -3, 15, 1, 1\/3, -5 in descending order.\nAnswer: 15, 1, 1\/3, -6\/5, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + v = -24*b - 247 + 1069, -5*v - 10 - 14 = -b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 6*q - 10*q**2 + 0*q**2 - 12 + 3*q + 0*q + q**3. Calculate g(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147818\/44 + 4\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, -1.3, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*i = 3*c + 165, 0 = -2*c - 4*i - 54. Let k = c - -85. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/15 - a**4\/8 - a**3\/2 + 19*a**2. What is the smallest common multiple of r(-1) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/7 and 34\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 751332078 and 756?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.315178km?\nAnswer: 5315178000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 54*k**2 + 49*k + 4986. Determine x(-29).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1542213 or 0.5?\nAnswer: 1542213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(-5*3878)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/7, -1\/9, 12, -16\/19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - 4*s**2 - 6. Let f(q) = q**3 + q**2 + 1. Let r be (11 - -1)*3\/6. Let h be 360\/54 - 4\/r. Let b = 1 - 0. Determine b*j(p) + h*f(p).\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 153*v**2 + 237*v + 235. What is u(-78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1457*q**2 + 1240*q**2 - 1536*q**2)*(0*q + 3*q + q).\nAnswer: 4644*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*a - 46*a - 241 = 91. Suppose -5*m = 5*i - 20, -m - 4*i = -4 - 3. Solve -m*o + 6*o = a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 0*p + 4*p)*(-4*p + p + 5*p) - 4*p**2 - 2*p**2 - p**2 - 10*p**2 + 0*p**2 + 0*p**2 as m*p**2 + a*p + r and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 48\/13, 6, 0.1, 2, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -924, -909, -890, -867, -840?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.7 - 4.9. Put 4, -0.3, b, -1 in descending order.\nAnswer: 4, b, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12)*2\/(-4). Sort 1, -5, a in descending order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1741, -1742, -1745, -1750, -1757?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1141, 1122, 1085, 1024, 933?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 5*b + 15 = 0, 2*y + b - 6 = 0. Let o be (-2649)\/12 - 3 - y\/4. Let s = 328 + o. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - d + 4 = 0, 2*d = -15 + 5. Let j = 328 - 143. Suppose h - 24 = u*v + 43, 3*h - 5*v - j = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5.4. Let u be 4\/16 - (-18)\/(-8). What is the biggest value in 3\/8, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293198, 293225, 293252, 293279?\nAnswer: 293306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/4)\/(27\/24))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217 - 1?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*j**4 - 49*j**4 + j**3 + 2*j - j**2 - 5 - 1 to o*j**3 + n*j**4 + y + c*j + x*j**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 9. Let t(q) = -5*q**2 - 3*q + 4*q**j - 5*q**3 + 2*q + 4. Suppose 52 = -150*f - 548. What is t(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607.157 less than 1660?\nAnswer: 3267.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*i**3 - 1 + 7*i - 7*i.\nAnswer: -113*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziizizwpizzi. What is prob of picking 1 p and 1 z?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 68*m**2 + 100*m - 282. Is 52 a factor of t(69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 + 223 = -13*l - 7*c, c + 6 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 b when three letters picked without replacement from vvmlbmmmb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -21, -2 in descending order.\nAnswer: 4, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*w - 3958 = 0, -31*b + 795 = -30*b + 4*w. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4) - 2\/4. Let n(j) = 0 - y + 0 - 3*j. What is the remainder when n(-6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*i - 24 = 0, l - 3*i + 4*i = -6. Let p = -6 - -11. Suppose -p*v - 2*b + 5 - 24 = 0, 4*b - 7 = -v. Sort 4, l, v in descending order.\nAnswer: 4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1040\/(-50) + 7\/1 - -6?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus -875?\nAnswer: 873.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -9*m - 208. Calculate the highest common divisor of m and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(-1 + sqrt(5) + 2)*3*5)**2.\nAnswer: 2100*sqrt(5) + 5725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 + 439*z + 66402 = 0. Calculate z.\nAnswer: -119, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.03434t to milligrams.\nAnswer: 37034340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10325 is divided by 5148.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000292733 rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -2*x - 0, x = -3*g - 4. Solve x*v - 14 = 4*c - 2*c, 0 = 4*c + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 582644?\nAnswer: 5826440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 219*x**3 - 3*x**2 + 21*x + 2. Is h(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*f + 3)*(7 + 3 - 3).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 950 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10)\/(7\/14)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/120 - 8*o**5\/15 - 65*o**4\/24 - 49*o**3\/3 + 2*o**2 + o - 1169. Calculate w(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-7)*j**2\/j*j*(j**(-5)\/j)\/j**6*(j**(-1\/4)*j\/(j*j**(2\/5)*j))**(-28\/5) assuming j is positive.\nAnswer: j**(-169\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1023.904 - -1038. Let k = -0.096 + n. Let p = k - 14.0137. Round p to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27670.4 + -35690.\nAnswer: -8019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7.8341751 minutes?\nAnswer: 0.005440399375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 2*t, 0 = 5*r + 5*t + 20 + 20. Let s(i) be the first derivative of -11*i**2\/2 + 6*i + 288. Let w(v) = 341*v - 187. Give r*w(p) - 187*s(p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(20)\/sqrt(2))\/(-2*sqrt(80))*-4 + (sqrt(384) + sqrt(384) + sqrt(384)*1)\/(sqrt(108) + (sqrt(108) - sqrt(108)*-3)).\nAnswer: 33*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1222*x - 1197*x = -425 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 600430 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4 + 47532*v - 41 - 23768*v - 23768*v. Calculate w(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.89 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 4600*k.\nAnswer: 5*k*(k - 920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + f + 5*f - f**3)*(0 + 3*f + 0).\nAnswer: 3*f**4 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 77 = -4*a - 79, 5*a + 184 = k. Let y = 48 + a. Calculate the remainder when y is divided by (14\/4)\/(1\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxyl when four letters picked without replacement from {l: 6, d: 5, y: 1, x: 7}.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-130)\/(-30) - ((-4)\/(-6))\/(-1). Suppose -2*t - v*t = -3*t. Let b be 1290000 + t*(-2)\/6. What is b rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-690*m + 3273*m - 8*m)*(m**3 - 4*m**3 + 2*m**3).\nAnswer: -2575*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = -8. Let n = c - -3. Let r = -3 + 8. Solve 4*m = -8, 7*m - n = 5*p + r*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.84 - -5.64. What is the smallest value in l, 1, 4, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*(4 + (-28)\/6). Let d = z - -1. Let w(q) = -2*q - 21. Does 2 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001781 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 - (12 + 48\/(-39)))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152399 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 840.69531 minutes?\nAnswer: 0.5838161875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**3 + 5*y - 7. Let f(u) = 12*u**3 - u**2 - 10*u + 13. Let t(l) = -4*f(l) - 7*g(l). Let o be t(-4). Is (o\/15)\/(1\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -4*t - 5*n, -5*t = 4*n + 50 + 36. Let r = -11 - t. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/((630\/(-80))\/21). Suppose t*o - 6 + 10 = -5*g, 3*o + 4*g - 1 = 0. Solve -o*u = 66 - 66 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + (87 - 82)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611298366.\nAnswer: 2, 3, 7, 29, 79, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/119)\/(3\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:20 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + 9*y**2 + 2*y - 6. Does 18 divide c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 9*t**2 + 6*t. Let k(q) = q**3 - q**2 + q. Let v = 84 - 83. Let a(f) = v*r(f) - 6*k(f). Factor a(g).\nAnswer: -5*g**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 494 = 476. Which is bigger: -56\/165 or b?\nAnswer: -56\/165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/24 + 35*w**4\/24 + 5*w**3 + 19*w**2 - w. Let f(t) = 0. Calculate t.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 3*w + 0*w + 4*w**4 - 2*w + w - 2*w**3 as j + t*w**4 + g*w**2 + d*w**3 + r*w and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from kvvch?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18112, -2, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 2 + 0 - 2 + u. Let g(z) = z + 1. Let b(k) = -4*g(k) - t(k). Let s(h) = -4*h. Calculate s(b(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/241 and 77\/8.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 + 6*b - 72. Let d = -295 - -284. List the prime factors of y(d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -179*m**3 - 71*m**2 - 3*m - 11. Determine j(-2).\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -2*a, -5*a - v + 5*v + 10 = 0. Suppose -3*p = -5*w - 50, -2*p + p + 21 = -a*w. Let r = w + 21. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464612, -464627, -464652, -464687, -464732?\nAnswer: -464787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnl when three letters picked without replacement from {q: 2, n: 5, l: 9}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25896 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let s(i) = 24*i. What is s(j(n))?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12401\/39 + -318. Are 1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 19*q + 13. Let s be (0*3\/9)\/(-1). Suppose 4*t - 44 - 20 = s. Calculate the remainder when p(17) is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*3 + -2 + 3. Suppose -155 = -5*d + z*x, 131 = d + 3*d - 3*x. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k - k)*(7 + 2 + 1 + (-2 + 3 + 1)*(0 - 4 + 2) - 3 - 2 + 3 + (1 - 1 + 1)*(-4 + 4 + 2))*(2*k - 11*k - 13*k).\nAnswer: 264*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8567*w**3 - 46024*w**2 + 46024*w**2.\nAnswer: 8567*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -12*o - 67. Solve 2*c = 3*q - o + 13, 2*c + 20 = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -12549\/4 and -3136 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 57 = -47 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - 1?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12508126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpp when three letters picked without replacement from {p: 11, r: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(2\/2 - (-11 - -11)). Solve -2*a - 13 = -z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 a factor of 10425225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 35 + 15)*(1 + 3 - 3)*(0*n + 0*n - n**2) in the form p*n**2 + y*n + s and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 42 = -12*n - 0, 0 = -2*u + 8*u + 108 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 457704*w + 6407268.\nAnswer: 3*(w + 14)*(w + 152554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnopooooopvv. Give prob of picking 1 p and 1 o.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a62 + 2?\nAnswer: -1a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:08 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2686*u**3*y**2 - 5*u**3*y + 13466*u**2*y - 2*u**2 - 17*u*y**2 + 12*y**2 + 1 wrt y?\nAnswer: 5372*u**3 - 34*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 6}. What is prob of picking 3 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 1 + 348*o - 32)*(-2*o + 2*o - 10*o**4).\nAnswer: -3480*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (16 - 29 - -7) - (-1 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -50. What is the third smallest value in -2\/15, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 14*f**2 - 11*f - 22. Let t be x(13). Suppose 5*g + 4*y = -0*y + 2386, t*g - y - 1913 = 0. Calculate the remainder when g is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 13*l**2 - l - 4. Let u be q(13). Let v = u + 29. What is the lowest common multiple of 14 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-3) + 1)\/(-5 + 4). Let c be (-21)\/4 + 2\/8. Put 1, t, c in ascending order.\nAnswer: c, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/15150 and -79\/34845?\nAnswer: 348450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1714, -1.2, -1\/5, 0.06, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.8 and -16?\nAnswer: -300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w, -11*w + 16*w + 345 = 5*z. Calculate the remainder when 280 is divided by z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*q**3 - 36 + 1993*q**3 + 828*q**3.\nAnswer: 3049*q**3 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 164, 266, 418, 626, 896?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*d**2 + 372*d + 227*d**2 - 372*d.\nAnswer: 891*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 5*n**2 + 7*n + 6. Let c = -9 - -15. Give d(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 1, m: 2, y: 1, n: 3}. What is prob of sequence ncy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - -1 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8165 + 8170.981. Round i to one decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, 7, 2 in descending order.\nAnswer: 7, 4, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4320 divided by -5.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 + 7. Let k = 0.4 - u. Let v = 0 + 0.4. What is the biggest value in -0.01, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - u = 2395000, -2*a = -0*u - 5*u - 4790000. What is a rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -3869 (c) 10.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.052 and -2969506.027431?\nAnswer: 2969506.079431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(2) + (sqrt(504)\/sqrt(8) - sqrt(63))\/sqrt(9) - (4 + sqrt(847) + sqrt(7) + -5 + -1))**2 + 3.\nAnswer: -28*sqrt(7) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2362463 + -2362626.00144. Let o = 163 + h. Round o to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 8) to base 13\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 122*d + 2099. Give r(100).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -12255?\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1478425 to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - -2 - 3) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f - 44*f + 27*f. Let a(b) = -9*b**2 - 3*b - 22. What is v(a(c))?\nAnswer: 9*c**2 + 3*c + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359496466 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -122214?\nAnswer: 36664.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.2 and 5883134420536.\nAnswer: 5883134420552.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2174 + 2034.3. Let d = -139.6999439 - m. Round d to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 - (15 + -15 - -20 - 9)) + -8?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 10*p**2 - 20*p + 15. Let k be o(-7). Suppose -165 = -5*d - 0*d. Solve 0 = a - 2*c + k, -d = -4*a - 2*c - 3*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*q**2 - 7*q**2 + 9*q**2 + 3*q**3 + 0*q**2 - 11 as x*q**2 + k + t*q + w*q**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(168\/4))\/((-1)\/4). Which is the nearest to -315? (a) r (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75\/61 - -766\/915. Find the common denominator of -59\/12 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*l - 42 = 0, -75 = -5*c + 3*l + l. Calculate the remainder when 96 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-15)*(-54)\/4. Suppose 5*g - a = -4*r, -3*g + 8 = -0*r + r. Let f(d) = 2*d - g*d - d. Let p(m) = -m**2. What is p(f(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3772314 and 198597?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*f - 26*f - 224. Let u(i) = i**3 - 16*i**2 + i - 12. Let n be u(f). Solve 8 + n = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/12 - 2*l**3\/3 - l**2 - 2*l. Determine o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1053 - 1044. Let r = -5.12 + 0.12. What is the third biggest value in q, 1\/4, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3e49 (base 15) to base 12\nAnswer: -7880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 - t + 2. Let m(w) = w. Let u be m(6). Let h be c(u). Let l(s) = 6*s**2 - 69*s - 36. Let y be l(12). Solve y = 5*d + h - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 1)*(-5*n + 0*n + n + n + n + 0*n + 0*n - n - n + (2 + 0 - 1)*(n - 2*n + 0*n) + n + 0*n - 2*n - 1 + 1 - 2*n) to the form f*n + p and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 107*j - 99*j - 10 - 2 + 4.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169888 is divided by 2154?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 2*w - 9. Let z be u(6). Suppose 0 = -5*p - k + z, -4*k - 16 = p - 0*k. Let v = 2 + 3. Solve g = -p*g + v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j + j - 3*j + 0*j + 3*j - 5*j + (0*j - 4*j + 3*j)*(-4 + 3 + 3) - 2*j - j + 0*j)*(-4 + 4 - j) to w + z*j**2 + f*j and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.4, 0.2, -9, -7, -0.34?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 54803 = 4*z, -10*z + 8*z + 3*d = -27403. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12113330333131 - 3?\nAnswer: -12113330333200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 143472.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 2*y - 22. Let x be v(4). Suppose 5*t - 230 = -3*u - 21, -137 = -x*u - t. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 372, 775, 1064, 1191, 1108?\n\"Answer: -8*j**3 - 9*j**2 + 486*j - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1818 + 1815. What is the biggest value in -20, r, -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45759, -91527, -137297, -183069?\n\"Answer: -u**2 - 45765*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -720, -716, -710, -702, -692?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*r - 15, -r + 4 = -0*r. Let p(j) be the first derivative of u + 2*j - 1\/2*j**2. Determine p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvhfhhhhh. What is prob of sequence hvh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4363\/5 - -17447\/20. Let l = 5 - 2. Let u = 1 - 0.8. Which is the fourth biggest value? (a) l (b) s (c) u (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10419 + -10255. Solve g*d = 167*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/(-15))\/((-268)\/45 + 6). Which is bigger: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 - 20) - -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.11, 5, -11 in descending order.\nAnswer: 5, 0.11, 0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 19. Calculate the remainder when 3 + 5 + -4 + m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:38 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1039621, 2079232, 3118833, 4158418, 5197981, 6237516?\n\"Answer: -y**3 + y**2 + 1039615*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m. Let i(a) = 9*a. Suppose 10 = -26*n - 120. Give n*i(h) + 4*v(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(30)\/sqrt(3)) - (0 + 1 + sqrt(13))) + -4 + 2 - (-1*(-4 + -1*sqrt(325) + -4))**2.\nAnswer: -392 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146752 and 836?\nAnswer: 30671168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 89. List the prime factors of 5 + z - (-235 - 22).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 4*p + 8, 2*j - 5*p = -3*p + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 0) + (105 - 167) + 24?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + (161 - 98) + 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:46 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, r: 2, q: 4, y: 1}. Give prob of picking 2 r and 1 t.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/1 - (-29)\/((-261)\/234). Is -28 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138632 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 4*t + 4*t + (2*t - t - 2*t)*(-1155 + 1173 + 792) in the form a*t + i and give a.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l - 2*l + 2*l + 0*l + l + (-4 + 4 - 2)*(-5*l + 5*l - 2*l) + 3*l - 2*l + 0*l)*(-3*l - 7*l + 2*l).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -20, -2, -1 in decreasing order.\nAnswer: 0.1, -1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 89886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174053 is divided by 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/12*(-4 + (9 - 9)). Let z(k) = -7*k**2 - 16*k - 1. Determine z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 - 83. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2630612 - -1.\nAnswer: -0.2630612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82195\/8374 or -9?\nAnswer: -82195\/8374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -20*q**3 - 4*q**2 + 1760*q - 1755. Calculate a(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132785, -265571, -398357?\nAnswer: -531143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o + 1. Let u be w(1). Let n = u + -11. Let d(q) = n*q + 0*q - q**2. Let r(j) = -4*j**2. Determine r(d(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 1. Let k(u) = -u. Suppose 167 + 997 = -291*b. Let c(l) = l**2 - 7*l + 6. Let q be c(4). Let g be (-2)\/5 + q\/10. Determine b*k(d) + g*x(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -600*d - 124*d - 355*d + 260*d - 6*d - 6*d + 0*d + (-3 - 2 + 3)*(2 - d - 2).\nAnswer: -829*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/12*(1 - -8). Suppose 3*h - 9 = c. Which is greater: 4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 34*f + 39. Calculate n(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 + -2 + (-12)\/((-6)\/(-2)). Suppose z*c - 69 = -6. Let t be ((9 - c)\/(3 - 1))\/(-2). Which is smaller: t or -18\/17?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 e when three letters picked without replacement from ceeccjcce.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 13. Let i be q(9). Factor -10*u**2 + 10*u**4 + 2*u**2 - 36*u**3 - 38*u**i.\nAnswer: -4*u**2*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27374 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a - 3. Let n(s) = -9*s + 4. Let u(z) = 5*d(z) + 6*n(z). Let o be u(8). Let w = o - -79. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121296596 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = 6, y - 35 = -5*x. Suppose -2*o + 0*o = 4*w - x, w = o - 7. Solve -g**3 - g**3 - 6*g**2 - g**3 + o*g**4 + 3*g = 0 for g.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s - 1. Suppose -3*i = 7*i - 20. Let p(u) = -4*u + i*u**2 - 5 - 2 + 2*u**2 - u**2. Let m be ((-3)\/(9\/6))\/2. Determine m*p(v) + 5*a(v).\nAnswer: 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - (13 + -54) - (1 + -6)) + -42?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7358\/7 - 80924\/77. What is the closest to 2\/7 in g, 5, -0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1233*d**4 + d**3 - 56960*d**2 - 1040893582 wrt d?\nAnswer: 4932*d**3 + 3*d**2 - 113920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - 3*m**4 + m**4 + (m - m + 2*m**2)*(3*m**2 - 2*m**2 - 3*m**2) + (m - 5*m - 12*m)*(2*m - 2*m - m**3).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2336\/96 + -31 + 10\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10035 is divided by 555?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 250797823*m - 488817791.\nAnswer: 250797823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1 + 2*f - f - 4*f - f**2 + 4*f. Let i(r) be the first derivative of -r**4\/4 - 4*r**3\/3 + 3*r**2 - 8*r - 136. Determine i(o) - 6*m(o).\nAnswer: -o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m - 91*m - 5*m + (5 + 0 - 4)*(0*m - m - m) in the form y*m + c and give y.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-52))\/((-57465)\/(-4788) - 12) - (-74)\/481.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 476\/(-126) - 34\/153\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122071361?\nAnswer: 47, 2597263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 750. Suppose 5*m = 4*k - 2*k + g, 0 = -m - 5*k + 108. Which is smaller: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4740 - -4733. Let y(k) = 5*k**2 + 8*k**2 - 6*k**2 + 10 + k**3 + 2*k. Calculate y(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 14*h**2 - 20*h - 28. What is the least common multiple of y(12) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Let v be 28 + z + -1 + -2. What is the common denominator of ((-10)\/v)\/((-88)\/610) and -123\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q + 2. Let r(i) = -8*i + 2. Let t(p) = 4*r(p) - 3*v(p). Let s(x) = 9*x - 4. Let l(w) = -3*s(w) - 5*t(w). Calculate l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(7))**2 - -4*sqrt(7)*-1.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1460 divide 607552816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68204351 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-82)\/(-4) - 4\/8. What is the smallest value in 4, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 27. Suppose b - 32 = -3*y. Suppose 4*j - y = j. Solve -z + 16 = 3*u + 3*z, j*u + 5*z = 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30489, 30742, 30999, 31260, 31525?\n\"Answer: 2*d**2 + 247*d + 30240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5440535, 10881059, 16321571, 21762065, 27202535, 32642975, 38083379, 43523741?\n\"Answer: -x**3 + 5440531*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*m = 233*m - 5252 - 3534 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1909.6 in 0.2, 0.1, -0.1, -197?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*u + u + 48 = 0, -2*h - u = -28. Let c(m) = -363*m**3 + 8*m + 364*m**3 - 9*m**2 - 1 - 3*m**2 - 6. Is c(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*v + 12 = 0, 0 = 6*v - v - 20. Solve 0 = 5*w - q + 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 6. Let p(a) = 23*a - 48. Let s(l) = 3*p(l) - 24*u(l). Let k(o) = -21*o - 22. What is s(k(n))?\nAnswer: 63*n + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 + -252. Suppose -8*l - 10 = -5*o - 3*l, -8 = d*o + 4*l. Let k(n) = n - 4. Give k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 81909904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 m when four letters picked without replacement from {v: 5, r: 3, m: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 k when four letters picked without replacement from {k: 1, b: 12}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1500 and 85704.\nAnswer: 10713000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -68. Let r = 101 - l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593337*-5\nAnswer: 2966685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2306 - 2306 - d. Let v(j) = -j. Determine r(v(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 95.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:57 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118 is divided by 117.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**3\/6 - 5*y**2\/2 + 42*y. Let a be m(-10). Solve 0 = -a*j + 2*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, 6, 20, 26, 12, -34, -124, -270?\n\"Answer: -2*w**3 + 14*w**2 - 18*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {z: 1, w: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, -1736 in descending order.\nAnswer: 5, 2, -1, -1736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*s**3 - 2210 + 2212 - 81*s**3 - 4*s**2 - 83*s**3 in the form j*s + q*s**2 + f*s**3 + y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 6. Let y(f) be the second derivative of f**2\/2 - 442*f. Give b(c) - 3*y(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1057 = -3*v, -2*g + 2*v + 2*v - 428 = 0. Let d = 204 + g. Is d at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgb when three letters picked without replacement from hbggrvavvrvvgvbava?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 32 (b) -1\/62 (c) -19 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/5 + 3*b\/5 + 2\/5 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 + 2?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 13 = -23. Which is the fourth smallest value? (a) v (b) 0.4 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*x**3 + 8*x**2*z + 4*x + 24*z wrt x.\nAnswer: -60*x + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165266984 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16*h**3 - 657*h**2 + 1917*h + 80281. Give f(-41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - 5*j + 11. Suppose -4*h + 20 = -4*x, -5*h = -3*h + 3*x - 20. Let o(b) = -4*b**2 + 2*b - 5. Determine h*o(f) + 3*p(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611 and 132743.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1\/11, 4\/15, -1\/7, 5, 0.029?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14235?\nAnswer: 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:41 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 1837312.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 31, 68, 127, 214, 335, 496?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/7 in 0.5, 3, 3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 198, 303, 426, 573, 750?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-2850)\/40))\/((-12)\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1054?\nAnswer: -1054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8310845 rounded to 2 dps?\nAnswer: -9.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744311 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323*y + 227*y - 716*y**2 + 719*y**2 to u*y**2 + s + l*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 11*u**2 - 14*u - 2. Suppose l - 2*l = 3*i - 2, 0 = -l - 4. Calculate the lowest common multiple of h(-12) and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -254 + 534777?\nAnswer: 534523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15)*4)\/((-76)\/(-399))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 - -1.5. Which is the nearest to 1? (a) z (b) 5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -2\/7, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d + 1. Calculate the remainder when g(3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3 + 2 + 17*l**3 - 5 with respect to l.\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 14. Let g be (-17 - -2) + -4*(-1)\/2. Let t(v) = v**2 + 6*v - 60. What is the remainder when t(g) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 29*p**2 - 772*p**3 - 65*p**2 + 34*p**2 - 4 + 1.\nAnswer: -772*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2891\/14455 - (-103)\/(-465)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/25)*q**(-5)*((q**(-23)*q)\/q)\/q**(1\/35))**16 assuming q is positive.\nAnswer: q**(-78704\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3615.6cm?\nAnswer: 0.036156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1357*v**2. Let u(h) = h - 1391. What is u(y(p))?\nAnswer: -1357*p**2 - 1391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (-33)\/(-6) - (-2)\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 - 352*p\/5.\nAnswer: 2*p*(p - 528)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 22. Suppose 3*w = -3*k - 10 + m, 20 = 5*k. Suppose u - 4*a - 1 = 10, -w*u + 11 = 2*a. Solve 2 + u = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/840 and -85\/504.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -32318 greater than -29678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 8) to base 15\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1953\/(-105) + 20 - (-2 - -3). Let q(a) be the first derivative of 4\/25*a**5 + b*a**4 + 0*a**3 - 4\/5*a**2 - 37 - 4\/5*a. What is f in q(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5164, -1, -4, -0.4, -72?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48225789257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168737?\nAnswer: 168737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055849 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -5.943?\nAnswer: -0.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 14*a - 13. Suppose c - 15 = -0*c. Let m be g(c). Suppose 3*r + 28 + 8 = 2*n, -m*r = 5*n - 52. What is the remainder when n is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -17*f**8\/84 + f**5\/60 + 5*f**4\/4 + 11*f**2. Find the second derivative of i(o) wrt o.\nAnswer: -1360*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7784552 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38401747 rounded to the nearest one hundred thousand?\nAnswer: 38400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*n + 575*n - 3*x + 16 = 0, 2 = x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3*a + 104 = 0, -4*a = 8*n - 2019 + 2183 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -30, -69, -126, -201, -294, -405?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12414, -12393, -12356, -12309, -12258?\nAnswer: -12209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 15, 41, 87, 159, 263, 405?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266 + -253. Suppose 32*f + 57 = a*f. Let q(d) = d**2 - d. Calculate q(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -26. Let d(g) = 8*g**2 + 9 + 4*g + x*g**3 - 12*g - 16*g**3. Let m be d(7). Which is smaller: m or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96723*w**4*y + 3*w**2*y**3 + 168*y**3 + 2*y**2 - 7*y + 7 wrt w.\nAnswer: -386892*w**3*y + 6*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(21\/(-2)) + (-494)\/133. Let h(j) = 13 - 3*j + 0*j - 6*j**2 + 8. Let t(f) = 3*f**2 + f - 10. Let u(z) = k*h(z) - 9*t(z). Factor u(r).\nAnswer: -3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 780*o - 143. Let f(v) = -11*v + 2. Let y(n) = 286*f(n) + 4*l(n). Determine y(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -259, -527, -795, -1063?\n\"Answer: -268*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150899 and 3633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (582\/72 - 6). Let a = f + -145\/156. Find k, given that 392\/13 - 56\/13*k + a*k**2 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9255 and 2478.\nAnswer: 7644630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n**4 + 2332*n**3\/5 - 1482*n**2\/5 - 592*n\/5 - 18\/5 = 0 for n.\nAnswer: -1\/4, -1\/30, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*18\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 2*y + 3*y)*(0 + 3 - 1) - 52*y - 13*y + 12*y.\nAnswer: -55*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1053) - 1*sqrt(1053)) + ((sqrt(637) + 0 - sqrt(637)) + -5)**2)*6.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2226*i - 2229*i - 6 = 3*h, 0 = -5*i + h - 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27190 is divided by 2757?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + o - 18 + 4, 5*d + 5*o = 30. Suppose -d*p + 4*p = 4. Solve -2*u + p = -6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -89.4. Sort h, -4, -1\/100 in decreasing order.\nAnswer: -1\/100, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - -1002002?\nAnswer: 1002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + 3.1. Let x = k + -1.54. Let t = -0.84 - x. Put -0.1, 3\/7, t in increasing order.\nAnswer: t, -0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffrffjfrrrfrrff?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1014 by 169.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8.7\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (6 - (3 - -13 - 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + 243 - -4)\/2. Suppose -p + 384 + y = 0. What is the greatest common divisor of 73 and p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2028, 3931, 5844, 7773, 9724?\n\"Answer: g**3 - g**2 + 1899*g + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255563 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose -12*i = 49 - 61. Suppose -3*u = -i - o. Which is greater: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 0*w**2 - 5*w**2 + 12*w + 4*w**2 - 3 + 0. Suppose 0 = 2*q + 2, -g + 3 = 3*q. Let o be k(g). Round o to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 3. Suppose 12*m = 7*m + 10. What is the remainder when m is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110111010 + 101000110?\nAnswer: -110001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/14138830 and -57\/225320?\nAnswer: 56555320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441 = 4*f - 24*b + 625, 0 = -b + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4 - (12 + -30)) + 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/19 - 254*q**3\/19 + 774*q**2\/19 - 778*q\/19 + 260\/19.\nAnswer: -2*(q - 1)**3*(q + 130)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvbboonvvobobob. Give prob of sequence vboo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(-7)))\/(d**(1\/3)\/d)*((((d\/((d\/((d\/(((d**1*d*d)\/d)\/d))\/d))\/d))\/d)\/d)\/d)**(-28) assuming d is positive.\nAnswer: d**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 383616 and 405?\nAnswer: 1918080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, f: 2, g: 3, v: 1, p: 1}. Give prob of sequence vf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 17*p**2 - 18*p + 40. Let o be u(18). Suppose 2*s - 55 = -4*g + 25, o = 2*g - s. Suppose g*c - 1818 = 11*c. What are the prime factors of c?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218777702 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 10 = 9*r. Suppose 0 = 3*g - r*g - 52. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)\/(-1 - 18\/(-21)). Which is bigger: -25\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 9. Let d = 41 + u. Suppose -8*z = -5*s - d*z + 395, -5*s = 2*z - 402. What is the remainder when s is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4376 - 126920\/29. What is the third biggest value in 3, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + r)*(-15*r**2 + 5*r**2 + 4*r**2) + 33*r**3 + 23*r**3 + 29*r**3.\nAnswer: 73*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7312786, -14625570, -21938354, -29251138?\n\"Answer: -7312784*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 145. Let h be f(30). Suppose -5*n + 2500 = 2*s, 3*s - 955 = -h*n + 1545. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29148 divided by -42?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*h - 38 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00154 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8912 is divided by 595.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2912.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 10\/9, 1, -27\/14, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1001212012 (base 3) to base 2\nAnswer: 101001000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 24*i**2 + 12*i + 217. Let k be c(-19). Suppose -6*h = 1699 - k. List the prime factors of h.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-476)\/(-714)*(-2)\/6*6\/8\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/((-169036)\/18111)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*r - 70, 5*v + r = -0*r - 86. Let h = -14 - v. Is -4*(-1)\/h - -26 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-9) + 59*2\/(6\/10151) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblblzllolllbllzlzlz. Give prob of picking 2 l.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g**2 - 350 - 3*g + 348 + g**2. Let a(y) = y. Suppose -1 - 2 = r. Calculate r*a(f) - t(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 0.13155?\nAnswer: 0.13155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = z + 113, 5*p - 4*z = -z + 136. Calculate the remainder when 89 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 74?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*d + 3060 = -253*d for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:10 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*(-3 - 1 + 3)*(-2 + 2 - 8*d)*(-2 - 2 - 10).\nAnswer: 448*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1\/3))*y)**(-44)\/(y**0)**31 assuming y is positive.\nAnswer: y**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8)*-2 + (-45)\/114. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -0.4, -45, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22312 - -675?\nAnswer: 23087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (120 + -114)*1\/2. Let v(d) = -9*d + 2. What is v(i)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 138.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:55 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 2 = -11*l, -4*h - 2*l + 10 = 0. Let w be (-10 - 0)*(-11)\/22. Suppose -z = t - 215, -h*z = -w*t + z + 1030. What are the prime factors of t?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 126*s. Let w(z) be the first derivative of -29*z**3\/3 - 1274. Determine h(w(q)).\nAnswer: -3654*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*h + w + 2 - 10, 0 = -3*h - w + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (296\/(-108))\/((-2681)\/(-72387))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347 * 3.\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 1. Let b(f) = 12*f + 19. What is b(t) + 5*l(t)?\nAnswer: 7*t + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -7 - (-2 + 1 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 6*o - 4. Let h be a(-4). Let q = -22202 + 22225. Solve q = -5*p - h*n, 5*p + 13 = -0*n + n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -0.2, -1\/2 in increasing order.\nAnswer: -28, -1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 887658 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96319 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207450*d**3 - 3794683*d**3 - 330843*d**3.\nAnswer: -4332976*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14984 is divided by 163.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 477288 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (510\/126 - 4)*9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10415, 20662, 30907, 41150, 51391, 61630, 71867?\n\"Answer: -o**2 + 10250*o + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 260498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(4*sqrt(66)*6 - sqrt(66)))\/(sqrt(60)\/(sqrt(60)\/sqrt(6)*2)).\nAnswer: 920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212.2 + 209.2. Which is the closest to -2\/7? (a) 1.4 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58\/28301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 356128519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 2*l + (5*l - l - 2*l)*(-3 + 4 + 1))*(-95 + 115 + 118).\nAnswer: 414*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/69? (a) 5 (b) 3 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:27 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 9*q - 40. Is 5\/q - 214\/(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3371.9 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 2016 = 25*b. Let q(r) = 586*r**2 + 2. Let v be q(1). Calculate the highest common factor of b and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 753 + -506. Let r be m - 4\/(-8)*2. Calculate the highest common divisor of r and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 502*m + 56. Let s be y(4). Let p = s - 1261. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 43*u**6\/720 + 31*u**5\/120 - 32*u**4\/3 + 11*u + 5. Let i(m) be the third derivative of j(m). Differentiate i(z) wrt z.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10242 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2100 = 5*x - 11*x. Let u = 867 + x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 167044*u - 8. Let f be z(1). Let d = f - 452036. What is d rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6906)\/(-11510))\/(-12 - -5).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 29. Let n be p(14). Let y(m) be the first derivative of -m + 1 + 5\/3*m**3 + 0*m**2. Give y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/20 - (-4116)\/(-6720).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-135))\/((-12)\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23399 + 23399 - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 27*b**2 + 10*b - 8. Suppose 6*u = 67 + 5. Calculate the remainder when f(2) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/20 + h**4\/3 + h**3 - 3*h**2\/2 - 12*h. Let g be m(5). Let t be (g\/(-10))\/(1\/5). Is t greater than -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 518817952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3\/8, -64, -22\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 - 2*b + 1. Let t(o) = -6*o**2 + 3*o - 2. Let c = -22 - -18. Give c*i(r) - 3*t(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(3)*1) + sqrt(44))\/(sqrt(4) - sqrt(20)\/sqrt(80)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 52 - ((-20 - -51) + 47)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -16 - (-12 - -45)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.38 + -2465096.93.\nAnswer: -2465123.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 + 2*i. Let z(h) = 3*h**3 + 56*h**2 - 3*h. Let v(j) = 6*m(j) - z(j). Let y(c) = -10*c**3 - 7*c**2 + 44*c. Calculate -7*v(d) + 2*y(d).\nAnswer: d**3 - 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 472317.\nAnswer: 1889268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t - 6. Let f be v(5). Suppose -p - 1168 = -3*g, f*g + 3*p - 4*p = 1557. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18519.\nAnswer: 3, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143799, -287648, -431497?\nAnswer: -575346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14210 by 14.\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/101595560 and -37\/40638224.\nAnswer: 203191120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1609.5*-2\nAnswer: 3219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + y + 3*y**2 - 3*y**3 + 1 - 11*y**3 + 20*y**3. Determine w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19652389, -39304776, -58957163?\n\"Answer: -19652387*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174624 divided by 32.\nAnswer: 36707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.4. Suppose -5*s = 6 + 14. Let t be s\/1*4\/(-12). Which is the closest to n? (a) -0.1 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135261 is divided by 86.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 2*q = -12*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + sqrt(72)*-3 - (sqrt(72)*4 + -5)))*-1.\nAnswer: 4 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641*t = 543*t - 134*t - 219350 for t.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(21\/196) + 13. Let o = 13 - -11. Let g = u + o. Calculate the least common multiple of 39 and g.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -361885 + 5089885. Suppose 1253931 = -51*o + g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gplleczep. Give prob of sequence lz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(-1 + sqrt(468)) + (sqrt(468) - (sqrt(468) + 1))*-6.\nAnswer: 6 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073768611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 3*f**2 - 6*f - 8. Let b be p(6). Suppose 3*c - b = -c. Is (6\/1)\/(c\/88) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -5?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 5*y - 4*y + (73573 - 73573 - 809*y)*(-2 + 2 + 1) + 3*y + 6*y + 0*y as u*y + j and give u.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/490)\/((-324)\/63). Let k(d) be the third derivative of -1\/24*d**4 + 0 - r*d**6 - 5\/6*d**3 + 1\/60*d**5 + 10*d**2 + 0*d. What is k(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 7*y**2 - 285*y - 2213. Determine z(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/140)\/(-9*10\/75)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 6, l: 5, r: 1, z: 2, v: 2}. What is prob of picking 1 z and 2 l?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003294 rounded to 6 decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -465*u**2 - 62*u + 5103?\nAnswer: -930*u - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1350)\/(-135))\/(8\/(-12)*(-15)\/(-20)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of (-1 - ((-4)\/(-10) + (-19)\/10))*27416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4*j - j = -4, 4*g - 2*j = -24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 22 + 1 = 4*q, -3*q + 4*c = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 14 = -4*d + 95, -5*d - 4*b + 93 = 0. Let k = -4 + d. Calculate the remainder when 2\/(4\/(-6)) - -35 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-132)\/200*(-24)\/36 and (-393)\/(-660) - (-1)\/(-4)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(40\/25) + (-6375)\/(-600).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) 0 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15.85 * 0.115663\nAnswer: -1.83325855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Find the second derivative of -11*p + 3*p**4 + 15*p + p**l wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.589425 milligrams?\nAnswer: 1589425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -69. Let j = c + -39. Suppose -j = -3*q - 13. Solve -16 = -3*v - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 2. Suppose -15*c + 10*c = -v. Let s be (-15)\/((-2)\/c*1). Solve s = -4*h - h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130095 smaller than -255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 h, and 1 e when three letters picked without replacement from xemvmmxmhm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.5, 0, 2, -4, 0.059 in decreasing order.\nAnswer: 2, 0.5, 0.059, 0, -0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*d = -52 + 437, -2*d - 390 = -5*o. Calculate the greatest common factor of 40 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32899, -131776, -296571, -527284, -823915, -1186464, -1614931?\n\"Answer: -32959*c**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-3690))\/(533\/7995).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1462789 millennia?\nAnswer: 1.462789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -15142.\nAnswer: -3\/15142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170\/3 + 51. Let u = c - -37\/6. What is the third biggest value in 2\/5, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 4210073.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (121\/(-33))\/((-2)\/(-21)). Let o = -1613\/42 - c. Let n = -4.04 + 0.04. What is the biggest value in o, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2950787 divided by -23.\nAnswer: 2950787\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01909 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 7*a**3 - 3*a**3)*(0*a**2 - 4*a**2 + a**2 + (6*a - 4*a + 0*a)*(6*a - 3*a - 2*a)).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9893 + 22634 + 15744 = 4142*g - 509 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 0.372100083908.\nAnswer: 0.402100083908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136091537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 826*p**4 + 12311528*p**3 - 73928726*p**2 + 178932*p = 0.\nAnswer: -14911, 0, 1\/413, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900162457 to the power of 1\/2, to the nearest integer?\nAnswer: 43591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*i + 0)*(0*i**4 - i**4 + 0*i**4) - 3*i**5 - i**2 + i**2 + (0 + 0 + 2*i**3)*(10 + 3*i**2 - 10).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*d = 171*d. Solve -26*m - 26 - 104 = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 15.1. Let a = -292.027 - -292.327. What is the closest to 0.1 in y, a, -1, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 (base 15) in base 16?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -35. Solve 2*s = 7*s + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-2*-5)\/sqrt(12)*1*-1.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/43 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1 + 4)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*q**5 - 2*q - 30*q**4 + 6 + 30*q**4 wrt q.\nAnswer: -700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 7. Let p(i) be the first derivative of -i**3\/3 - i**2 + i - 1. Let q be p(-4). Let v be r(q). Solve -3*n + n + 4 = v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -1131.39\nAnswer: -452.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -331775 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 523\/6. Let w(k) be the second derivative of l*k**3 + 0 + 0*k**2 - k - 1\/6*k**4. What is the second derivative of w(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -9 - 11. Let a be ((-39)\/12)\/(-1) + 3\/(-12). Find the third derivative of -a*v**2 + 6*v - 6*v - 3*v**p wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**9\/1512 + o**6\/90 + o**3\/6 - 2*o. Let z(b) be the second derivative of w(b). Find the third derivative of z(l) wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 325 - 611 - 597 + 951.\nAnswer: 2*r - 582","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9596 - -0.0404. Which is the closest to -1? (a) 4 (b) s (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -77. Let b = -1 + 4. Suppose 67 = t*l - 2*s + s, -23 = -l - b*s. What is the greatest common factor of l and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 1. What is c(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1500*w**2 - 2989*w**2 - 5 + 1490*w**2 + 203 as t*w + k + r*w**2 and give k.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*(-84)\/2457?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*t**6 - 10*t**3 - 4*t**3 + 14*t**3 - 5*t**2 wrt t.\nAnswer: 1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757774*t - 757771*t - 757770*t + 2273317*t - 20.\nAnswer: 2*t - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 52.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -305*g**4 - 2*g**3 - 6587.\nAnswer: -1220*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(30\/(-4) + 4 + 0). Is 1*(-7)\/(f\/10895) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*d + 42, s + 3*d + 2*d = 15. Let z(i) = -i**2 - 4*i. Let b be z(-3). Suppose -b*m + 9 = -21. Calculate the highest common divisor of m and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.7 equal to -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00108581 to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1228 - -1635. Calculate the highest common factor of 111 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-2 - -38) - -3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -892\/8345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36))\/(6\/(-40)*768\/1728)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0741 times 0.32\nAnswer: -0.023712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 454.94 litres?\nAnswer: 454940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4, 14*o + 3 = -l + 16*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-11)*11)\/(2*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (7 + 220\/15))*(-102)\/4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569.1367 weeks to days.\nAnswer: 3983.9569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15030 and 36?\nAnswer: 30060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/(7353\/(-172)))\/(8\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 1311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 10) to base 6.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r**2 + 74*r**2 - 221*r**2 + 79*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 50. Calculate the greatest common divisor of k and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6905 and 6899 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5034*p**3 + 0*p**2 - 2594*p**3 + p**2 - 2602*p**3.\nAnswer: -162*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m**2 + 21*m + 134. Let d(f) = 6*f**2 - 6*f - 2. What is 3*d(z) + l(z)?\nAnswer: 2*z**2 + 3*z + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36126 is divided by 623?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9337409 to the power of 1\/2, to the nearest integer?\nAnswer: 3056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let f be (-108)\/(-26) - d\/13. Solve -3*r = 4*w + 23, -22 = 4*r - 2*r + f*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 10:50 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*s + 22 = 0, 58 = -0*f + 4*f - s. Let w = f + 74. What is the remainder when w is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.184 + 0.184. Which is the third smallest value? (a) -3 (b) 1 (c) g (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*a - 32, 2*u - 7 = a + u. Let o(w) = 5*w + 7. Let m(k) = k. Let z(c) = -4*m(c) + o(c). Determine z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530752887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.7 + -14.7. What is the third smallest value in 8\/3, s, -4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/226 and 59\/150.\nAnswer: 16950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1682 + -1666. Which is the third smallest value? (a) -1 (b) 0.222 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26923 and 223886?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3643.642033 to 1 dp.\nAnswer: -3643.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -17*k**2\/2 + k - 2537. Let v(x) = -5*x + 2. Determine g(v(w)).\nAnswer: 85*w - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u - 192*u + 12096. Calculate the smallest common multiple of u and 956.\nAnswer: 13384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = 3*o + 3*g, -146*o - 24*g = -146*o - 48 for o.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -33*x + 92*x - x**2 + 17 - 32*x - 31*x + 1. Give b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20788942?\nAnswer: 2, 71, 281, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -235561 - 156?\nAnswer: -235727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -396806*r + 8332896. What is w(21)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.61 - -593.39. Which is smaller: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27620 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -46. Let r be 1 + 2 - (-6)\/f. Let g = r + -4. Solve i + 4*i + 5 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ca6 + -4?\nAnswer: -4caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 17 in ascending order.\nAnswer: -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 26*t**2 + 28*t + 214. Let y be v(-24). Solve -740 = -23*b - y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48.6718m?\nAnswer: 4867.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 0.6. Let o = -0.41 + -2.59. Put -2, k, o in descending order.\nAnswer: k, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 6*p**4 + 5*p**4 + (-p**3 - p**3 + p**3)*(3 - 3 + 2*p).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.151074 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668527 is divided by 345.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3923 - -192?\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yffj when four letters picked without replacement from yjjjjjjjjafjf?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.3 - -4.3. Let m = y - -17.1. Let h = -0.1 - m. What is the biggest value in 0.3, h, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 112\/5 (b) 0.04 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17 - 9 + 22*k - 48 - 101*k wrt k.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 7. Let p(i) be the second derivative of -7*i**3\/6 + 3*i**2 - 63*i + 2. Let r(f) = -6*j(f) + 7*p(f). Let m(q) = 146*q**2. What is r(m(d))?\nAnswer: -146*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:51 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 6 + 33\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 2*m - 2. Let g(c) = 14*c + c + 10 + 6 - 2*c**2 + 3*c**2. Let v be g(-14). Let w(r) = 7*r**2 + 9*r - 9. What is v*w(x) - 9*f(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Factor -4*w**5 + w**5 + 15*w + 6*w**g - 18*w.\nAnswer: -3*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 0. Solve -2*b + 1 + 3 = i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29743 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11940.28017952 - 11611.233417. Let g = 354.046762 - k. Let r = -25 + g. Round r to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 8:17 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 765199?\nAnswer: -765196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1041 in ascending order.\nAnswer: -2, 2, 1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1\/2, 0, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480619.\nAnswer: 7, 43, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - 23?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 11*d - 10. Let g be i(-12). Suppose k = 3*f - 127, 0 = g*f - 3*f + 2*k + 49. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1134 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1514.\nAnswer: 15140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -103\/43, -4 in descending order.\nAnswer: 191, -103\/43, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -506616402?\nAnswer: -506616376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6252184*p - 17250 = -6251809*p for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**4 + 19129*s**3 - 19131*s**3 - 2 - 3*s**4 + 42*s**2 in the form u*s**2 + n*s**3 + o + c*s**4 + l*s and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-125)\/(-20) - 1\/4. Suppose -x = d + d + z, 9 = -5*d - z. Is -1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 6, -4 in decreasing order.\nAnswer: 6, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*m + 140, t = -3*m + 7 + 5. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -0. Let l = -6 + 5.9. Which is the third smallest value? (a) l (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 18. Let p be t(14). Suppose -4*d = 3*x - 54, 2*x = p*d - 7*d + 41. Suppose -3*b = 2*b - d. Solve 2*k + b*k + 4*m = 1, -3*m = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*w + 2*w - 3*w)*(243 + 34 - 78) + 2*w - 5*w + 2*w - 4 + 2*w + 4 + (4*w - 2*w - 4*w)*(-3 + 2 + 3) + 2 - 2*w - 2)*(0 - 2 + 3) as k*w + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:40 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4871191 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = -5*h - 10*h. Calculate the greatest common divisor of 54 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 58*w + 54*w + 352, w = 3*g - 272. Does 30 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8b2 (base 13) to base 10\nAnswer: -1497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 4*r + 2*r)*(1 - 6 + 2)*(-2*r - 4*r + r) to the form q*r + h*r**2 + c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 1, m: 1, w: 3, c: 1, g: 5}. What is prob of picking 3 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxwxxxxxwxxxwwxxx?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 2*s**2 - 2*s - 3. Let y(v) = -21*v - 128. Let q(f) = -40*f - 234. Let l(d) = 6*q(d) - 11*y(d). What is -6*l(a) - 13*o(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyttttyyyyyyotyyyyy. What is prob of picking 1 t and 1 o?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -15\/2 (c) -5 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 5*d)*(2*d + 3 - 3) + 25*d**2 + 33 - 44*d**2 + 23*d**2.\nAnswer: 2*d**2 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1650656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + w + 8. Calculate the least common multiple of s(0) and 34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 42 = -2*y. Let o(x) = 4*x. Let g be o(y). Suppose 3*n + 2*n = 350. Calculate the greatest common factor of g and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(208) + 0) + sqrt(208) + 5 + (sqrt(208) - sqrt(208)*1) + 5*(sqrt(208) + 5*sqrt(208))*-1)**2.\nAnswer: -1000*sqrt(13) + 130025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2996428 and 42586?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11028*c**3 - 147*c**2 + 8*c + 898879.\nAnswer: -66168*c - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*y**3 + 360681*y**2 + y - 75351223.\nAnswer: 12*y**2 + 721362*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 3.8, -1, -6?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*m**3*w**4 - 32890*m**3*w**2 + 2273*m**2*w**6 wrt w?\nAnswer: 168*m**3*w + 272760*m**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17512*g**3 - 18255*g wrt g?\nAnswer: 105072*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-1)*-2)\/((-26)\/(-390)*20). Let s = 54 - 49. Sort 1.7, 1\/5, v, s in descending order.\nAnswer: s, v, 1.7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 1653\/76)\/(-3 - 228\/16)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*v - 16 = 0, -3*a + 19*v - 14*v = -20. Solve a = 2*g - 4*q - 0*q - 2, 3*g - 3*q + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 559 + -557. Let c(o) be the third derivative of 0*o + 0 + 0*o**4 - 1\/270*o**5 + 6*o**q + 0*o**3 - 1\/180*o**6. Suppose c(g) = 0. Calculate g.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(70)\/(-1*sqrt(10)) + (sqrt(63)\/(sqrt(9) - (sqrt(9) - 1*sqrt(9))) - sqrt(378)\/sqrt(6)) + 2.\nAnswer: -8*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllllbblblllllbllbl.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 597 = l + 8, 5*x + 581 = l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -2, 82795, -2.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -4830\/439?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*63\/13230)\/(-3*(-2)\/63).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v. Let o be ((-8)\/48*0)\/(-2). Let s(p) be the second derivative of -27*p + o*p**2 - 2\/3*p**3 + 0. What is s(x(t))?\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616936077?\nAnswer: 2063, 783779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, x: 12}. What is prob of picking 3 x and 1 h?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 2*r - 14. What is b(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3665021 and -1.2.\nAnswer: -4398025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 + 0*x**2)*(-x + x**3 + x).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/120 + 3*s**5\/10 - 4*s**4\/3 + 3*s**3\/2 + 81*s**2. Calculate the smallest common multiple of m(16) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:27 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-7) + 5820\/105?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042653479.\nAnswer: 7, 3491, 42667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11383\/6 + 1898. Let x(j) be the second derivative of 13*j - 2*j**2 - b*j**3 + 0. What is x(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429 - 477 = 8*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/224*3\/((-18)\/4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9153955 is divided by 321.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 23 = w, 5*w - 31*s = -32*s + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -300\/11 + 1211\/44. Let u(p) be the third derivative of 0 + l*p**4 - 2*p**2 + 0*p**3 + 1\/60*p**5 + 0*p. What is the second derivative of u(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 4. Let x(i) = 3*i**2 - 172*i - 4*i**2 + 170*i + 0*i**2. Let l be x(q). Is l equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 626 and 6?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**3*h + 9*c**2*h**2 - 2*h**2 - 29*h with respect to c.\nAnswer: 12*c**2*h + 18*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -70*o**3 - 21*o**2 - 21. Let a(u) = -7*u**3 - 2*u**2 - 2. Give -21*a(w) + 2*y(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*l - 21, 6 = -1327*u + 1324*u + 3*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeellpfjjyje. What is prob of sequence lj?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.215342\nAnswer: 0.215342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhphqqvhh. What is prob of picking 1 q and 1 w?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -5. Suppose o = -f + 2*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 35*z**2\/4 + 1911*z\/2 - 9126.\nAnswer: -(z - 78)*(z - 9)*(z + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3663, -14641, -32939, -58557, -91495?\n\"Answer: -3660*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*o + 0 + 1\/3*o**2 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-912)\/(-1938)*17\/2. Let s(v) be the second derivative of -v**4\/12 + 3*v**3\/2 - 3*v**2 + 3*v. Let g be s(4). Sort 2, a, 3, g.\nAnswer: 2, 3, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106257024139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 29*a**6\/6 - a**4\/4 + 19*a**3 + 14. Find the third derivative of c(i) wrt i.\nAnswer: 1740*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 420\/75*-1*(-10)\/4. Suppose -2*l + n = 176. Let v = 125 + l. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/45 and (-8)\/(-20)*31\/102?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, e: 1, a: 2, y: 1, k: 1}. What is prob of sequence ey?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 338322709*x**2 - 238428*x. Let d(b) = -39731*b**2 + 28*b. Calculate 59607*d(t) + 7*l(t).\nAnswer: 13246*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43129\/16 + -2693. Find the common denominator of x and -1\/142.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -202*n**2. Let z(c) = -2*c**2. What is z(f(y))?\nAnswer: -81608*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*q*w**3 + 282*q*w - 183*w**4 - w**3 + 68*w wrt w?\nAnswer: -258*q*w - 2196*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a**2 + 0*a**2 + a**2)*(4 - 5 + 3) - 3*a**2 + 4*a**2 - 3*a**2)*(-32*a + 12*a + 7*a).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30187 is divided by 2496.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373.172 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 9*r**2 - 5*r + 7. What are the prime factors of i(10)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(63)\/(-3*sqrt(9)) + -1 - (-2*sqrt(63) - sqrt(63) - (sqrt(700) + 1*sqrt(700) - sqrt(700))))**2.\nAnswer: -118*sqrt(7)\/3 + 24376\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34671\/11 or 3153?\nAnswer: 3153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 586 and 753.6?\nAnswer: 167.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 517683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/32 and 525\/(-110) + 3 - 1.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 13*g - 33. Let n(x) = -x**2 + 2*x - 1. Let d(m) = f(m) - 5*n(m). Let h be d(-7). Solve -2*z - z = h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 418 in 1\/3, 0.09, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -56, -54, -52, -50, -48?\n\"Answer: 2*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Suppose 47 = -2*s - 33. Let d be (-90)\/s - (-3)\/4. Let y be k(d). Solve 0 = -3*l, -y*l = -a - 6*l + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57a17 + -4b?\nAnswer: -57a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*p - 5*m, 3*p + 55 - 34 = -2*m + 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71564 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -55*g + 2. Let a(q) = 2*q. What is o(a(j))?\nAnswer: -110*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122157, 244174, 366181, 488172, 610141, 732082?\n\"Answer: -a**3 + a**2 + 122021*a + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 at most 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1143072 and 127\/2268?\nAnswer: 1143072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywy when three letters picked without replacement from yywwwwwywwww?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-3))))\/z)**18*(z**(-2))**(-14\/13) assuming z is positive.\nAnswer: z**(-674\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1497 + 1504. Suppose o + 4*b - 80 = 0, 3*o = 2*b + 2*b + 224. Suppose 3*t = o - 22. What is the remainder when t is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 4*n + 332, 0 = -4*n + 4. Let f = 85 - x. Suppose -2*i + i + 256 = -5*v, -f*i + 5*v + 798 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 9. Let z be 6 - (-2 + 3 + 0). Suppose z*y + 5 = -20. Let l be n(y). What is the second biggest value in -2, l, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 679, 681, 683, 685?\n\"Answer: 2*j + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:30 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + 0.39. Suppose -2*m + 19 - 27 = 3*j, 3*m + j + 12 = 0. Let k = -0.3 - 0. Which is the nearest to 0? (a) m (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 506.4 - 528.41. Let u = t - -22. Let x = -1.956 - 0.044. What is the closest to 0 in x, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**3 + 4*v**3 + 0*v**3)*(-23 + 7 + 5) - 22*v**3 - 11*v**3 + v**3 as b*v + j*v**2 + y*v**3 + f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 1 (c) 0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52137890 = 216*x - 17019046. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*u - 427*u + 1606*u**2 + 147*u + 139*u.\nAnswer: 1606*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -16\/7, 34 in ascending order.\nAnswer: -16\/7, -1\/2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from oioo?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 42*n - 1021. Calculate r(24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3349 and 123.7.\nAnswer: -41.42713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i - 20 = -p, 5*i = 3*p + 50. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/749 + -53197\/6741. Find the common denominator of 79\/38 and w.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -56.1, -2, 20.247, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + 18\/4. Suppose -c*u - 24 = -6*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1081, -134.4, 1\/4, -3, 2\/9 in increasing order.\nAnswer: -1081, -134.4, -3, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2461 - -2460.7. Which is the second smallest value? (a) o (b) -10 (c) -2 (d) 0.2 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+-2113562862\nAnswer: -2113562861.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4.4. Suppose -7*r + 9*r - 3*d + 165 = 0, 0 = 5*r - 4*d + 416. Let y be (2 - 97\/60) + 21\/r. What is the closest to -3 in 2, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 527514 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z + 18. Let a(h) = -30*h - 54. Let y(p) = 4*a(p) + 11*u(p). What are the prime factors of y(-8)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138207960 divided by -541992?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*l + 15, -33 = 5*x + 3*l - 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3 - 64*m**3 + 34*m**3 + 3*m**2 + 22*m**3. Let g(t) = -56*t**3 + 20*t**2 - 20. What is -20*b(h) + 3*g(h)?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1744*p**3 - 1131*p**2 + 1131*p**2.\nAnswer: 1744*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8574.5 - 8575. Which is the closest to -10? (a) k (b) -4 (c) 27\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**2\/g))\/g)**17)**(2\/3) assuming g is positive.\nAnswer: g**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -20*q**2 - 6*q - 7. Let u be l(-3). Let a = 225 + u. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {x: 1, r: 1, v: 1, j: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(720))*-3 - sqrt(720)*1*-2)*-4)**2 + (1 + 2 + -2 + sqrt(720) + sqrt(720)*-1 + sqrt(720))**2.\nAnswer: 24*sqrt(5) + 12241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 534200 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a century?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -84 - (4733 + -4719 + -1 + -16).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -244*(-21)\/(-300) + 17?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -97593377.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 4*a**2 + 7*a + 7. Let z be f(-5). Let y(k) = -k - 7. Let s be y(z). What is the third smallest value in s, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47d + 25?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5449 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9833957?\nAnswer: 7, 97, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -810 + 2*v + 1615 - 780 - 4*v in the form t + j*v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779 = -64*t + 437 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -23.6. Let h = -0.9 - 1.1. What is the nearest to -1 in i, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 23 = -3*v. Suppose -12*p + 13 = -v. Suppose 3*a = -2*f + 15 - p, -15 = 5*f. Calculate the least common multiple of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -10\/529, 0, 204?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -228981 + 11?\nAnswer: -228970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6384*o - 421797 - 222987 = 0 for o.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 - 692410*p**2 + 58793067*p wrt p?\nAnswer: -20*p**3 - 1384820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Let q(u) be the first derivative of -5*u**2\/2 + 6. What is q(x(p))?\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17835227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1446 - 2*f - 1286 + 495 to g*f + a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12*(1 - 7). Let w = 17 - o. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -5 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -1 + sqrt(475) + -3 + -5)**2.\nAnswer: -210*sqrt(19) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, 4, 6 in increasing order.\nAnswer: -2, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18825543?\nAnswer: 3, 11, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3394\/11, 0.5, 1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - i**2 - i + 1. Calculate l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 - 5\/((-35)\/(-42)) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**2\/2 - m - 33377. Let b(f) = f**2 + 6*f + 6. Let g be b(-5). Let h(i) = i**2 - 2*i - 3. What is g*h(s) - 2*a(s)?\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*i + 1445 = 0, -3*m + 4*m - 5*i = 311. Suppose 130 = 6*j + 32*z - 31*z, -4*j = -3*z - 94. What is the highest common factor of j and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 127. Suppose 5*s - v = -7*l + 3*l, 65 = 2*l + 3*s. Suppose 0 = 4*u - 18 + 2. Calculate the greatest common divisor of l and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/10)*(z\/(z\/z**(-1\/2))*z*z)\/z)\/((z*z\/z**7)\/(z*z**(-4))))\/((z**1\/z)\/(z\/(z**(2\/5)*z))*(z\/z**(1\/4))**(-7)) assuming z is positive.\nAnswer: z**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -b - 9 - 8, 4*b = -2*u + 32. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 22*n + 6. Let i be x(-11). Calculate the remainder when (135 - 15) + (1 - 3) is divided by i\/(-8) - (-2)\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 29881.\nAnswer: 3\/29881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6*-2310.\nAnswer: -8316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1 (b) -4\/5 (c) -3\/4 (d) 389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.55 + 48.55009996. Round h to 6 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*y = -6*y - 231, -4*y = 2*u + 232. Let v = u - -351. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = 50. Suppose -11*o + 2 = s. Let g = -7\/3 - -11\/6. Is o less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*h**3 - 10*h**3 + 105*h**2 + 194*h**3 - 115*h**2 + 465*h**3 to n + x*h**2 + q*h**3 + d*h and give q.\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 76521920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3646.6 + -3646.89609. What is w rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 - 2*l**3\/3 - 5*l**2\/2 + 23*l. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7053376079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -11277910 to the nearest ten thousand.\nAnswer: -11280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -21.1\nAnswer: -105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*m**3 - 151*m**3 - 124*m**3 + 498*m**3 - 124*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1238 + 1238.7. Let c = 0.4 - 0. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-646)\/56 - -11) + (-35)\/(-140)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72632641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-14\/9)*q*q**(4\/3)\/q*q*(q*q*q**(3\/4))**(1\/26) assuming q is positive.\nAnswer: q**(827\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 3455431.\nAnswer: 1727715.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702, -486, -272, -60, 150, 358, 564?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180076 is divided by 452.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3*a + 5)*(-2 + 1 + 3) - 2*a - 2*a + 2*a + 2*a + a + 0*a)*(-3*a + a + 3*a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 19*i + 36. Let q be s(-17). Let k(c) = 2*c + 17*c**2 + 39*c**q + 0*c + 7*c**2. Let x(t) = -t. Calculate k(x(f)).\nAnswer: 63*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1124\/6744)\/(-4 + (-2137)\/(-534)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/26)\/m*m*m)**(2\/129)*m\/m**(-1\/19)*m*m*m\/((m*m**10)\/m) assuming m is positive.\nAnswer: m**(-189064\/31863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103315 - -103318. Let f = -11 + 7. Sort f, 2, 4, l.\nAnswer: f, 2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 517248.5?\nAnswer: -517252.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 240053 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**3 + 26*m**2 + 8*m - 20. Let h(j) = -4*j**3 - 9*j**2 - 3*j + 7. Calculate 6*c(g) + 17*h(g).\nAnswer: -2*g**3 + 3*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3838, -3901, -3964?\nAnswer: -4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 3, -4, -5, 6, 35, 88?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237*b**4 - 2*b - 425.\nAnswer: 2844*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9804486 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 741 - 2106. Suppose -m = v - 1012. List the prime factors of v.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -375? (a) 0.12 (b) -248\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*0.2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + f + 10 + 16 = 0, 0 = -3*k - 3*f + 12. Suppose 0*o - q = 2*o - 70, k*o - 2*q = 184. Let a = o - 36. Solve -3*t + 2*t - 1 = a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/((-360)\/70) + (-20)\/(-8). Sort v, -5, 3, 12, -4 in increasing order.\nAnswer: -5, -4, v, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - (1*sqrt(68) + 4) - (1*sqrt(68) + -1).\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117210319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 8:17 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 divided by 3743?\nAnswer: -129\/3743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 15906163.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-222)\/(-168))\/(1629\/(-4344)) + (-10)\/1?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 10*o**2 + 11*o + 3. Let w be i(11). Suppose 5*x + 0*x - 37 = 3*s, -13 = -2*x + w*s. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.3999767 + 20.4. What is g rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l**2 - 33*l - 17. Let q(v) = 3*v**2 + 8*v + 4. Let b(r) = -9*q(r) - 2*y(r). Let d(k) = -k. Give b(j) - 6*d(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, i: 1, g: 5, k: 2}. What is prob of sequence gg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1211 = -4*j - 5*f, -7*f - 638 = -2*j - 3*f. Suppose -2*w + 5*w = j. What are the prime factors of w?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 47 = w + t, 4*t + 20 = 0. Let c(k) = k**2 - 5*k - 6. Let q be c(6). Let r = w - q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*w - w. Suppose -15 = -w*p + p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4620 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.359 - -1.511. Let k = a - 1.87000103. Round k to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 3*k + 4*o, -3*k - 4*o = -4*k + 2. What is the smallest common multiple of k and (-39 + -1)*(-4)\/10?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 10*f = 12. Suppose -f*b = -1 - 8. Solve -l + 3*n - b = -n, 0 = -4*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.72 times -465?\nAnswer: 1264.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 54 = -48 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -5, -24, -53?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 17 = 3*t, -366*k - 3*t = -365*k - 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/84188 and -31\/68692.\nAnswer: 111212348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365407 is divided by 304.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 5*u**3 - 3*u**3 + 5 + u**2 + 3*u**3 + 0*u. Let m be w(5). What is m rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.9 (c) -0.6 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-520))\/(5\/65)*(-2)\/(-136).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1717109 and 628?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 7:12 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 - i + 4*i**3 - 2*i**3 - i**2 + 10*i**3 to d*i**2 + a + x*i**3 + u*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39474 less than 39517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26897\/297 + 986\/11. Let m = 827\/9 - 8983\/99. Find the common denominator of s and m.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38192*0.2.\nAnswer: 7638.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21\/t)\/t**(1\/2) assuming t is positive.\nAnswer: t**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 767434.8ng in tonnes?\nAnswer: 0.0000000007674348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6 - 2 - l - 6*l**3 + 7*l**3 + 6*l**2 + 7. Determine y(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*f - 22 = 0, -4*p - f - 1 = -4*f. Let h(j) = 4*j**2 - 3*j + 1. Give h(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:55 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.402893l in millilitres?\nAnswer: 1402.893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14199, 14134, 14047, 13926, 13759, 13534?\nAnswer: 13239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18855 and 4016.\nAnswer: -14839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(0 + 2 - 1)*(-13*x + 13*x + 7*x**2) + 4*x**2 - x**2 - x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7070503 a multiple of 1199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -16*m. Let f(y) = 9*y**2 - y + 2. Let r be f(m). Let l(b) = b**3 - 7*b**2 - 11*b - 7. What are the prime factors of l(r)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*3\/(-12))\/((-2)\/(-8)). Let w be (13\/y + 4)\/((-2)\/(-4)). What are the prime factors of -2*w*20\/(-8)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*m**3*z - 3*b**3*m**2*w*z + 9*b**3*m - b**2*m*w*z - 2*b*m**3*z + 6*b*m**2*w*z + m**3*z wrt b.\nAnswer: -6*m**3*z - 18*m**2*w*z + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 6*d + 12. What is m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18824, -37606, -56394, -75188, -93988, -112794?\n\"Answer: -3*k**2 - 18773*k - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*o = 10817 - 10775, -5*o = 6*c - 78 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 5*a)*(0 - 4 + 2) + 3*a - 2*a - 3*a + (2 - 4 + 0)*(-3 + 3 + 3*a) + 3*a - 5*a + a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:54 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11202112 (base 3) to base 5\nAnswer: 102340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000425305 rounded to seven decimal places?\nAnswer: -0.0000425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -11 + 24 + -150 + 24 + 0 + -10?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/261, 27\/7, -2\/3, 0 in descending order.\nAnswer: 27\/7, 37\/261, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 902176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -0.072832054270004.\nAnswer: 0.227167945729996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + u. Let o(h) = -h + 3. Let v be o(-5). Let w = v - 12. Let b(g) = 7*g**2 - 4*g. Give w*k(l) - b(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 69. Calculate h(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:59 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3460092, -2, -0.2, 9 in decreasing order.\nAnswer: 3460092, 9, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 1. Let b = 7 - 6. Let j(v) be the first derivative of -v**4\/4 - 4*v**3\/3 - 4*v + 708. Calculate b*j(x) + 4*q(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 476. Let x(u) = -23*u. What is l(x(y))?\nAnswer: 23*y + 476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:46 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151160.\nAnswer: 2, 5, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/4 + 10*v**3\/3 - 9*v**2\/2 + 11*v + 2. Let l be z(9). Suppose 0 = -5*a + 74 + l. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m. Suppose m = 4*v - u - 916, v + 3*u = 2*v - 240. Suppose -6*h = -3*h - v. What is h rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 0*n**3 - 2*n**3)*(-1 - 101 - 52 - 105).\nAnswer: 259*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 1952 = 3904. Suppose -2*q = -2*z + 128, 5*q + 4*z + 151 = -169. Let b = q + y. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 7 + 8\/(-2). Let i(h) be the first derivative of 0*h - 2 + 0*h**2 - 1\/2*h**t - h**3. What is the third derivative of i(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.18 times -0.04\nAnswer: 2.4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 2*u - 12. What is i(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 893 + -1520. Let m = 1106 + b. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*-2*(-5)\/(-20). Is v + 75\/(-4)*20\/(-5) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84010569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2006, -1960, -1828, -1568, -1138, -496, 400?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28667763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30231 (base 5) to base 12\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681970649.\nAnswer: 3, 19, 509, 57973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Suppose -n = -0*n + 5, u - n - 2 = q. Let h = u - -7. Calculate the least common multiple of h and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 4. Let b = m + 8. Suppose -10 = b*g - 46. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 2*m. Suppose 0 = 2*j + h - 116, m*j - h = -3*h + 174. Suppose 16*o = 17*o - j. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18533 and 0.08.\nAnswer: 1482.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 4*k**2 + 6*k + 10. Let i be ((-8)\/(-10))\/((-9)\/45). Let q be j(i). Let m = q - 23. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -196, -343, -562, -865?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.30386 rounded to 2 dps?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = -4*k. Let w(a) = -6*a**3 + 4*a + 2*a**3 + 3*a**3 - 3*a**2 + a**2. Does 3 divide w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-32)\/4*(-2)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) - (-7)\/3. Let b(k) = -213337*k - 5. Let z(i) = -426675*i - 11. Let w(t) = 9*b(t) - 4*z(t). Let p be w(r). Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15)*1)\/(522\/2320).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 14 = 6. Suppose 0 = 3*f + f - v*p + 36, 0 = 5*f + 5*p. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.046?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 1760 = 328. What is the remainder when h is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1117 = -259*v - 6*v + 473. Solve 6*a + v*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47029 or 49788?\nAnswer: 49788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -661 - -646.04. Let z = b - -14. Let v = 0.04 - z. Is 1\/3 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 63*m + 18. Does 13 divide r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2. Let n be a(1). Let l = 39150 + -39150. Solve l = -7*w + n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 33*l**2. Let z(s) = -41*s**2 + 1. Give z(t(x)).\nAnswer: -44649*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -3. Suppose q*y + 1 = 9. Let c be 4\/3 + (-6)\/(-9). Solve -j = j + 2*p + c, j + 10 = y*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 7*i, 0 = 12*k - 8*k + 3*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6\/673, 0.008 in ascending order.\nAnswer: -0.4, -6\/673, 0.008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 4393449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -69, -82, -97, -108, -109?\n\"Answer: s**3 - 7*s**2 + s - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(94 - 4 + 274)*(-y + 5*y - 2*y) + (y - y - y)*(-4 - 1 + 4).\nAnswer: 1457*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*1)\/(4\/(52\/(-91)))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.1, -5, -27, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 497558.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1404, 2941, 4614, 6423, 8368?\nAnswer: 10449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l + 20. Let o(a) = 14*a - 18. Give -5*o(w) - 6*z(w).\nAnswer: 2*w - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {t: 6, j: 3, h: 5, k: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uccj when four letters picked without replacement from jcjjcuuuccjcc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 1. Suppose -5*c + 16 = 3*o - 31, -4*c - 3*o = -37. Suppose i = -3*b + 2, -2*i - c = 4*b - 5*b. Let a be s(b). Solve 1 = y + a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 54 - 257*m to w + k*m and give k.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 + 4*r - 5. Let w be o(1). Suppose -w*p = -9*p + 21. Solve 17 = -p*a - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rvdrrrrvvrv?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -59. Let p = -16 - -18. What is the units digit of p\/5 - (-390)\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.99572 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 2. Let l(j) = j. Let k(b) = a(b) - 2*l(b). Let q(r) = -r. Calculate -k(d) + 6*q(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f**2 - 15*f + 9. Let k(t) = 5*t**2 + 4*t - 2. Determine 9*k(p) + 2*s(p).\nAnswer: 7*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -33?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 3. Suppose 0 = -3*r + 38 + 43. What is the remainder when r is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -71*z - 510. Calculate a(-8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126, 114, 98, 78, 54, 26, -6?\n\"Answer: -2*v**2 - 6*v + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 72662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 2*w**2 + 4*w - 1. Let l be x(-3). Suppose -90 = -0*i - 5*i. Let r be (-16)\/(-3)*i\/12. What is the greatest common factor of l and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -817 * -0.37.\nAnswer: 302.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.3 (b) -5\/12 (c) -476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*27\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/18 - (-32 - (-30647)\/684)) + 14.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 195*m**4\/8 + 2442*m**2. Let g(x) = 4*x**2. Calculate g(a(i)).\nAnswer: 1368900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 times 2559?\nAnswer: -509241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -998111?\nAnswer: -80\/998111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 14. Let q = -3 + 2. Let d be (-22)\/(-10) - q\/(-5). Solve 4*b + 18 = -5*j, b = -d*b - 4*j - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.265 + -2.865. Let v be 3 - ((7 + 2)\/(-3) + 3). Which is the closest to 14? (a) 13 (b) -0.2 (c) v (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 3*r**2 - 7*r + 10. Let z be n(5). Suppose j - 3*j - z = -5*m, m = -2*j - 7. Let a be 3\/57*-59 + m. Put 0.1, -5\/3, a, 20 in increasing order.\nAnswer: -5\/3, a, 0.1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-6)\/2)\/((8961\/(-58))\/103)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55055609?\nAnswer: 7, 43, 317, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 47*-29.7\nAnswer: -1395.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*n - 0 + 8, 3*h - 5 = n. Let l = -3 + 8. Suppose -5 = -5*x + l*i, x - i - 1 = 2*i. What is the closest to x in n, 0.3, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1383655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 41, -5, -69?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/22 and -9\/832.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b82 (base 16) to base 7.\nAnswer: 110233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -264 - -1057\/4. Let h be (6\/4 + -1)*0. Let v be (h + 1\/(-1))*-5. Which is the closest to p? (a) v (b) 0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -372787000 to the nearest 1000000.\nAnswer: -373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 8, -16, -0.44.\nAnswer: -16, -0.44, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28734 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.492*-14.1736\nAnswer: -6.9734112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 514. Let p = 222.121 + y. Round p to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80 - -2)*(-15 - (-319)\/22). Solve j*w + 198 = 105*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8383 - -0.1\nAnswer: -8382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507789?\nAnswer: 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snns when four letters picked without replacement from {t: 11, n: 4, s: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -909 or -908?\nAnswer: -908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 21. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-4)*30\/9*6\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 9*k = -27, 6433642*h + 11 = 6433641*h + k for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 6*g)*(-5 + 4 + 3) - 112*g - 75*g + 5*g - 3 + 3 - 3*g + (2 - 4 + 0)*(5*g - 3*g + 0*g).\nAnswer: -187*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 172.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7658.354 nanometers to meters.\nAnswer: 0.000007658354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21550*r + 14229*r - 14847*r + 14812*r in the form m + d*r and give d.\nAnswer: 35744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27999 and 22509?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 7:50 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -108 + 1 + 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 0, -118 = -k + u - 0*u + 17. What is the greatest common factor of 6561 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4204301 (base 5) to base 8.\nAnswer: -207316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1278*y. Let a(v) = -8595*v**2. What is a(p(x))?\nAnswer: -14038075980*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 12c0?\nAnswer: -12b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 88 = -4*t, -889*z - 5*t = -884*z - 75 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386 (base 10) to base 6.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 11 + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -7. Let p(l) = 1. Let r = 48 + -54. Let h(v) = -v**2. Let w(z) = d*p(z) + r*h(z). Differentiate w(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 1, p: 1, t: 1, h: 1}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2358, -18, -5 in decreasing order.\nAnswer: 2358, 3, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Let u be 3\/(6\/4) + b. Solve 2 - u = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -286, -487, -648, -769, -850, -891?\n\"Answer: 20*a**2 - 261*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*1*(sqrt(126)\/sqrt(2) - sqrt(7))*2*4)**2.\nAnswer: -480*sqrt(7) + 16153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660.065um to millimeters.\nAnswer: 0.660065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8494566?\nAnswer: 2, 3, 523, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 98*o - 7. Does 11 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7016 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.94. Let f = t + -0.14. Which is the third smallest value? (a) 2\/17 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 915, 3626, 8141, 14460?\n\"Answer: 902*a**2 + 5*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (72 + -81 - (-1 + -3))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -76 - (2 + -10 - -4 - (5 + 1)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415997776 to the power of 1\/3, to the nearest integer?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)\/((t*t*t\/t**0*t*t)\/t)*(t**1)**(-2\/55) assuming t is positive.\nAnswer: t**(-332\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2)*((-2)\/1)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*12*(-53)\/(-477).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11250895481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101\/45675 + -1\/1827. Let l = i - -71783\/2900. Find the common denominator of 107\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/3 - 7349*d\/3 - 2562394\/3 = 0.\nAnswer: -6982, -367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = -4*m, 0 = -68*c + 69*c - 2*m - 7 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/60 - j**4\/12 + j**3\/2 - 7*j**2. Suppose -58*r + 53*r + 55 = 0. Let m(u) = -2*u**2 + 5*u - 8. Calculate r*g(w) + 4*m(w).\nAnswer: 3*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 109207993 to the power of 1\/2, to the nearest integer?\nAnswer: 10450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shssy. Give prob of sequence yh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-29)\/f**(12\/7)*((f*f**(1\/18)*f)\/f*f)**(-44))**18 assuming f is positive.\nAnswer: f**(-15266\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2 + 3*g - 3. Let h be a(1). Let m(t) = t**2 - 5*t + 3. Let y be m(h). Suppose y + 43 = 3*v. Solve 0*n = 4*n + v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 2.9 (c) -1 (d) -366 (e) 1 (f) -2 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 + 1. Let c(i) = -i**3 + 6*i**2 + 1. Suppose 0 = 5*h + 132 + 128. Let m = -51 - h. What is m*c(x) - 3*l(x)?\nAnswer: 2*x**3 + 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w = -5*a - 38*w + 1454, -4*w = 2*a - 596. What is the remainder when a is divided by 141?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 + -1. Let b = -0.5 - m. Let d = -0.9000093 - b. What is d rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 15 = 27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjj when three letters picked without replacement from aaaajjjajjaxjj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 2. Solve -5*c + 19 = -z, 25 + 10 = 5*c - a*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b**2 + 1192*b + 13033. What is l(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 595806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m - 33. Let i be p(-10). Calculate the greatest common divisor of i and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2170 + 397*a**2 - 2368 + 4538. Let v(y) = -19*y. Calculate v(q(r)).\nAnswer: -7543*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:20 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 15 = -5*a. Suppose 3*p = c - 44, -a*c + 5*c = -5*p + 110. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90258 + 135593. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/57)*n**(-3\/32) assuming n is positive.\nAnswer: n**(-107\/1824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 2*p**2 + p. Let t be n(-1). Let i(h) = -t + 6*h - 4*h - h + 5*h. What is the tens digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/27*6\/(-94)*2?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12120 - -100013?\nAnswer: 32343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 2*v**3\/3 + 3*v**2\/2 - 6. Let x be t(-2). Suppose 5*y + 0*h = 3*h + 63, y - x*h - 7 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 + 3*k**2 - 2*k - 2. Let p(n) be the first derivative of n**4\/4 + n**3\/3 - n**2\/2 - n + 370. Give 2*c(a) - 6*p(a).\nAnswer: 2*a**3 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a92 + -11083?\nAnswer: -102c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 = h, 4*n + 5 = -h - 0. Let m = 1491 + -1482. Sort 3, h, m.\nAnswer: h, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 25, 2*v + 5 = 3*z - 6. Suppose -5*s - 420 = -5*o, s = -0*s + 2. Let b = o + -59. Calculate the remainder when b is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffw. Give prob of sequence wf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssswnnakkapskankwp. Give prob of picking 1 p and 2 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*o + 23, 0 = 10*l - 14*o + 12*o - o - 42 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.89 - 25. Let v = -0.3 - a. What is v rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 6. Let s be j(-3). Suppose -2*x + 2 = -5*i - 6, s = -3*i. What is the first derivative of 4*m**x + 7 - 7*m**4 + 10*m**4 wrt m?\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3 + 8\/12. Let y(w) = -2*w**j + 1 + 2 + 6*w + 4*w**2. Let i(l) be the third derivative of -l**4\/24 - l**3\/6 + l**2. Determine 4*i(r) + y(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -51. Suppose -2*b - 98 = -u*r + 1156, -4*b = -12. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -236 - -237. Let m be (-44)\/(-132)*(d - 13)\/(-1). Let n = 2 - -1. Solve -4*c - 5*h = 19, m*c - n*h - 4 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7705 and 24956955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*x - 2*h + 11 = 0, h - 10 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.9 + 8.36. What is the second smallest value in c, 1\/4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -2*h**5\/5 - 4*h**4 - 14*h**3 - 22*h**2 - 16*h - 21. Factor s(i).\nAnswer: -2*(i + 1)**2*(i + 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473*m + 0*m**3 - m**2 - m**3 + 289*m to the form x*m + s*m**2 + h*m**3 + d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 7*w - 10. Let i be r(-4). Let g = -3 + 4. What are the prime factors of 7 - (-6)\/(i + g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 16*f**2 - 29*f - 11. Let c be n(-14). Sort c, -12, -3, -5.\nAnswer: -12, -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51840 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 + 10 - 5 - -14\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*15\/45)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**3 - 6*u**3 - 2*u + 2 + 4*u**2 - 2*u + 3*u. Let z be y(-4). Suppose -111 = -z*i + 327. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2800 and 106\/105?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*y = 14, 0 = 186*v - 181*v + 2*y - 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o. Let y(a) = -1. Let w(u) = -u**2 + 4. Let l(j) = w(j) + 4*y(j). Calculate l(c(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Solve 0 = -4*f + 4, -g*k - 1 = -0*k + 5*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - 3*p, -4*p - p = -3*r - 2. Let o(q) be the first derivative of q**4\/4 - 5*q**3\/3 - q**2 - 6*q + 141. Does 7 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12125201 - 24?\nAnswer: -12125225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let c(n) = -n - 1. Let l(w) = 16*w + 14. Let d(g) = -28*c(g) - 2*l(g). Determine r(d(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 2. Let s be f(4). Let j(m) = 1 + 3*m + 10*m**2 - 16*m**2 + 145*m**2 + 3*m**s. Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/24 + 4*y**2 - 3. Let i(c) = -4*c**2 - 4*c. Give i(w(u)).\nAnswer: -4*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 26, 45, 68?\n\"Answer: 2*v**2 + 9*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-102 + 39)*182\/(-6)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 + 17)*34\/(-68)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 241, 8, -84, 1, -1 in descending order.\nAnswer: 241, 8, 1, -1, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/3 + 3542*n**4\/3 - 1171920*n**3 + 349429950*n**2 - 33928900875*n.\nAnswer: n*(n - 285)**3*(n + 4397)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3454 - 2995. Calculate the lowest common multiple of j and 198.\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23340 + 1?\nAnswer: 23341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6028626 by -3014313.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 79*w - 164. Give f(21).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.26 - -94. Is 0 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3154011*d. Let x(h) = -2*h + 113. Determine v(x(g)).\nAnswer: 6308022*g - 356403243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 343 - -20?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - g + 44 = 3*g, -15 = 5*g. What is the remainder when 27 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 51, 117, 235, 423, 699?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28364 + -0.38364. Sort r, 0.2, 0, 0.5, 0.067 in descending order.\nAnswer: 0.5, 0.2, 0.067, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(14\/13)\/((r**(4\/5)*r)\/(r*r**(-4)\/r)) assuming r is positive.\nAnswer: r**(-991\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -5 (c) 6 (d) 8 (e) 3 (f) -1\/4 (g) 2005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 0 - (-2 - 0). Let c(d) = -2*d**2 + 2 + 4*d - 4 + 2 - 3 - 1. Let b(o) = o**2 - o + 1. Let p(t) = h*c(t) + 4*b(t). Let w(y) = -2*y**2. Give p(w(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305288021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 192164, -23, 2\/11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*u + 5*v - 13, 0 = -2*u - 2*v - 2. Let d(r) be the first derivative of 17*r**2 - 7*r - 1. What is the hundreds digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3426 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -12*n**3 + n**2 - n + 2100. Determine w(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -91\/6. Let n(u) be the second derivative of -z*u**3 + 0*u**2 + 0 - 1\/12*u**4 - u. What is the second derivative of n(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -267.\nAnswer: -5\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.545 less than -58569.87549?\nAnswer: -58571.42049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198.3 + -199.3. Which is the smallest value? (a) -70\/3 (b) l (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:44 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*v + 10 = 0, 5*q + 3*v - 84 = -0*q. Let k = q + -14. Suppose 2*s - 7*s = -3*l - 9, 2*l = -k*s - 6. Solve -y - y + 8 = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189678.\nAnswer: 2, 3, 101, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48\/43 - -1051\/903. Let r(x) be the first derivative of -9 + 0*x + 1\/14*x**2 - b*x**3 + 1\/35*x**5 - 1\/28*x**4. Factor r(n).\nAnswer: n*(n - 1)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1279.87 + 1271. Let f = 3.87 + a. What is the second smallest value in f, -2, -42?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 2*g + 18, 23*p - 28*p = -5*g + 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204)*-1*6)\/(sqrt(12)*-2*4).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and -0.06.\nAnswer: 12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*w = -12, m + 3*w = 5*m - 16. Suppose m*p + 42 = p. Let c = p - -40. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*h + 20, 4*h = 3*f - 4*f + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -98 - -65 - (-4 - 2)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 1325*u + 17. Let x(m) = 2*m. Determine g(x(c)).\nAnswer: 8*c**2 + 2650*c + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.1, -1\/4, -6, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -216\/25851565 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaaaajaajaj. Give prob of picking 2 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - h**4 + 9 - 7 + 257*h**3 - 259*h**3 to l*h**2 + z*h + t + k*h**4 + s*h**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 3, 483, -9 in increasing order.\nAnswer: -9, -4, 0.2, 3, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53303565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-3)*(-43)\/(688\/24))\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8735 (b) 2 (c) -1.6 (d) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 134*d - 7\/6*d**4 + 0*d**3 + 0*d**2 + 0. Let q(n) = -13*n**2. What is q(c(f))?\nAnswer: -2548*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.1 (b) 1\/3 (c) 0.4 (d) -3848\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -852 + 851.551. Let z = 0.4 + v. Let b = z - 0.038. Round b to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51690254.\nAnswer: 2, 7, 11, 59, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let c(g) = -g**3 - 8*g + 6. Suppose 4*i = 4*p + 12, -3*p + 5 = 3*i + i. Calculate i*c(l) - 14*a(l).\nAnswer: -2*l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78417464 to the power of 1\/2, to the nearest integer?\nAnswer: 8855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*6\/5. Suppose 0 = 605*f - 584*f + 63. Which is the nearest to 0.1? (a) m (b) f (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.48 (b) -19\/2 (c) -5 (d) -1\/6 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/60 + l**4\/24 + 4*l**3\/3 - l**2. Let m be f(0). Calculate the highest common divisor of 24 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -57552?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*p + 20 = -4*u, 1138*p = -3*u + 1135*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 5*v + 16, 2*d + 4 = 2*v. What is the tens digit of (-6)\/d - (0 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1 + 36*m**2 - 20*m**2 + m - 17*m**2. Let x(g) = 4 - 6*g + 4*g**2 + 0*g + 0. Let f(q) = 14*t(q) + 3*x(q). Factor f(a).\nAnswer: -2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*(s**(-2\/15)\/s)\/s)**(1\/15) assuming s is positive.\nAnswer: s**(73\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 197660500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 262236 and 349648?\nAnswer: 1048944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 3*q**2 + q + 2. Suppose 2*t + 0 = 2*u + 12, 2*u - 9 = -5*t. Let m = -5 + t. Let a be h(m). Let f(g) = g**3 + 4*g**2 + 3*g + 2. What is f(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2093605, 2093607, 2093609, 2093611, 2093613?\nAnswer: 2093615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-205)\/(-160)*(1 - 0) and (-9)\/12*(-732)\/(-54).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 12.16, 0.03, 4 in descending order.\nAnswer: 12.16, 4, 0.03, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1427 or -1\/578?\nAnswer: -1427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1783*b**3 - 1777*b**3 + 5298*b**3 - 1775*b**3.\nAnswer: -37*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6145004, -12290004, -18435004, -24580004?\nAnswer: -30725004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -5024 + 5026. What is the biggest value in g, -0.4, -1, 0.5, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 14712\nAnswer: -5\/1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(50)*4*6 + 4 + (sqrt(500) - (sqrt(500) - -4*(-1*sqrt(500) - sqrt(500))))\/(sqrt(160) + sqrt(160)*-2))**2.\nAnswer: -4000*sqrt(2) + 125064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5363 and 3979.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10994)\/161)\/(1\/(-7)).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*u - 1 - 95, -2*g - 30 = 2*u. What is the common denominator of 2031\/(-216) + (-2)\/g*-2 and 91\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 8:25 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b - 3. Let d be u(3). Let c be (-132)\/2*((-250)\/30 + 7). Let t = d + c. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -15644325.61 to the nearest one thousand.\nAnswer: -15644000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17842481?\nAnswer: 1783, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*t**4 + 14 - 5*t**4 - 5 + 9*t**4 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*q + 243*q - q**2 - 37*q - 49*q as g*q**2 + k + y*q and give y.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1749449*n**6 - 2*n**5 - n**2 + 1977*n + 5?\nAnswer: -209933880*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 2, j: 8, c: 4}. What is prob of picking 1 c and 1 j?\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 107. What is the third derivative of 37*c**2 - 35*c**2 - 56*c**2 - q*c**2 + 3*c**3 + 4*c**4 wrt c?\nAnswer: 96*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453 (base 16) to base 15\nAnswer: -4dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-585)\/195\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s\/(s\/(s*s*s**6)))**(-2)*(s**(7\/4)\/s*s\/((s**(-7)*s)\/s))\/(s**(2\/7)*s**(-1)) assuming s is positive.\nAnswer: s**(-71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, n: 3, k: 6}. Give prob of picking 1 n and 1 h.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.32683ng to micrograms.\nAnswer: 0.02032683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2 (b) -106 (c) 16\/5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 2*q + 3*q)*(-6 + 3 + 2)*(-48*q + 582 - 582) - q**2 - q + q to u*q**2 + y*q + i and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -36596.8 (b) -7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -7c6?\nAnswer: 7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**2)\/y)**7)**(-4\/7)\/(y*y\/(y\/y**2)*y\/(y\/(y**(-2\/29)\/y)))**(4\/11) assuming y is positive.\nAnswer: y**(-2776\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243138 is divided by 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103016116766 - 1412.\nAnswer: 103016115354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 241118002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 + -0.71. Let r = -0.9 - -0.6. What is the closest to t in 3\/2, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/13840 and 49\/5536.\nAnswer: 27680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 4\/85?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 10*f - 1235. Let a = f - -252. Let z = -4559\/9 + a. What is the common denominator of z and 38\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 31, -0.1, 2\/5, -5\/3, -0.7.\nAnswer: -5\/3, -0.7, -0.1, 0.1, 2\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 - -217. Which is smaller: u or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**1\/d**8)\/(d**(3\/8)\/(d*d*d**(-1\/14)*d)))**(2\/81))**8 assuming d is positive.\nAnswer: d**(-166\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11680941 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -34486100 to the nearest one hundred thousand.\nAnswer: -34500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(360)\/sqrt(9))\/(sqrt(8) + (sqrt(392) - (sqrt(392) - 2*sqrt(392))) + sqrt(392)).\nAnswer: 5*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -54*v**2 + 4*v + 48. Let t(h) = 161*h**2 - 11*h - 141. Let i(b) = -11*j(b) - 4*t(b). What is the derivative of i(z) wrt z?\nAnswer: -100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14329580*r**2 + 28586400*r wrt r?\nAnswer: 28659160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, 2\/11, -3\/4, 0.28, 3\/7 in decreasing order.\nAnswer: 3\/7, 2\/7, 0.28, 2\/11, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 + h - 1. Let c(v) be the third derivative of -v**4\/24 + 3*v**3 - 5*v**2. Let p be c(15). Give u(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (189*g - 75*g + 187*g)*(-3 + 0 + 5)*(18*g**2 + 11 + 0 - 10) as j*g**2 + o*g**3 + k + q*g and give o.\nAnswer: 10836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3*u*u**(-2\/13)*(u*(u\/(u*u**0\/u))\/u)\/u*u*u\/(u\/u**(-4))*u*u assuming u is positive.\nAnswer: u**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 11*j - 13. Let m be z(-9). Let a = 9 + -11. Let d = a - -3. What is the third biggest value in -0.1, d, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 760\/175 - (-1)\/(-5) - (37 + -32)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*p - 28 = 0. Suppose -3*m - 116 = -6*m - p*b, 0 = 3*m + 5*b - 121. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195061939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -155 and 0.9052.\nAnswer: -140.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4)*((-68)\/60 - -1). Let t(o) be the third derivative of 0 + 0*o**4 - o**2 - a*o**5 + 1\/2*o**3 + 0*o. Differentiate t(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -280, -421, -564, -709, -856, -1005?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1900) - (-5 + -1*sqrt(1900)))**2*-4.\nAnswer: -30501 - 800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 91 and 1097\/12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 228\/(-4)*((-5)\/25 + (-2)\/15)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-42)*(-364)\/988.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 266 + 34. Calculate the least common multiple of k and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35860 and 2860.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/17 (b) 2\/9 (c) 3\/5 (d) 143\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -14 - (59 - 69) - 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:22 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20721, 20718, 20715, 20712, 20709, 20706?\nAnswer: 20703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1023 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -870 + 1876. Let b = -1006.797 + p. Let l = b - -0.127. Round l to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 513 = -3425. What is the remainder when w is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 444\/(-5032)*17*((-4)\/30 - (-4)\/(-6)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236537 times 5?\nAnswer: 1182685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Let b = -4.000015 + a. Round b to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + 2)*-6 - (sqrt(114)\/(sqrt(8)\/sqrt(4)))\/sqrt(3).\nAnswer: -7*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 divided by -202?\nAnswer: -3087\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 111018?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.4 + -0.077.\nAnswer: -37.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 600.08897 - 597.089. Let y = 4.8 + -1.8. Let r = q - y. What is r rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 697 (c) 19 (d) 0.5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2 + 2 + z. Let x(v) be the first derivative of 0*v**2 - 1 + 0*v + 1\/3*v**3. Give h(x(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 671 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 66 + 21. What is the greatest common divisor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*y + 10, 0 = 2*q + 2*y + 17 - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4184.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-959*u - 75*u - u)*((-4 + 1 + 2)*(2*u - u + 0*u) - 9*u + 5*u - 5*u) to s + f*u + g*u**2 and give g.\nAnswer: 10350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (23 - 22)) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = y. Let a(c) = -c + 4. Let i be a(y). Let b be (-6)\/(-2) - (4 + i). Solve o + b = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88856518, 88856521, 88856524, 88856527, 88856530?\n\"Answer: 3*k + 88856515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17801*m - 138*m - 28752*m - 1867*m.\nAnswer: -48558*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*y - 5, -5*q + 4*y = 155105 - 155108 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*k**3 - 336*k**3 + 146*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 110\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**7\/2520 + 7*c**6\/90 - 98*c**5\/15 + 137*c**4\/12 - 60*c. Let w(z) be the third derivative of k(z). Factor w(o).\nAnswer: -(o - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 295 = 2*r + 287, k + 12 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 7424168\nAnswer: 5\/7424168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3317105343 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*j + 31 = 0, -7*i - 28 = -2*i - j. Let d = i - -25. Calculate the remainder when 3\/(-1) - (-1 - 40) is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 53*o**3 - 1. Let z be s(1). Let a = z - -88. Does 40 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (27\/7 - 3 - (-80)\/(-28)). Solve 5*w + 5 = -i*l + 3*l, 5 = -l + 5*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 488?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g*g**(-2\/25)*g*g*g)\/g)\/g*g)\/(g*g**(-15)*g))**(-1\/19) assuming g is positive.\nAnswer: g**(-448\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17061 + -2061. What is u rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 18. Let m be (-5)\/15*(1 + 2). Calculate the remainder when (14 + -16)\/(m\/8) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:56 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -37 - -32 - 73?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2155*m**3 + 9*m**2 + 23*m + 9. Let d(b) = 538*b**3 - 2*b**2 - 5*b - 2. Give 18*d(i) + 4*t(i).\nAnswer: 1064*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/780 + 28*y**5\/195 - y**4\/156 - 56*y**3\/39 - 2*y**2 + 195*y. Find c such that o(c) = 0.\nAnswer: -56, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 4 = 7*p. Let x be p + 2 - (2 - 161). Suppose x + 122 = 4*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*66.9.\nAnswer: -13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1116138839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.87 + 0.13. Let z = -0.037 - -0.037. Which is the biggest value? (a) m (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150152*h**4 - 6*h**3 - h**2 + 15223520*h + 2.\nAnswer: 1801824*h**2 - 36*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*f - 164 = -132*f. Solve -v + f = -2*q, 0 = 4*q - 3*v + 12 - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*i + 4 + 55 = 0, 3*k - 2*i - 24 = 0. Let c be (-1 - 4\/(-6))\/(20\/k). What is the closest to 0 in 4, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*110*(-1041)\/1388*1\/((-9)\/(-6))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 216970?\nAnswer: -216973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from yqyqvqyqyvllykrykk.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - (-18 + 8 + -2)\/(10\/255) is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1568*r + 1569*r = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/90*4)\/((-4)\/(((-2100)\/7)\/(-10))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-4))\/(-4)*(-57)\/133\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 9*r - 10. Let o = 359 + -423. Let h be (12\/(-9))\/(2 + o\/30). Determine u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in 12, -1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 351, 347, 339, 327, 311, 291, 267?\n\"Answer: -2*g**2 + 2*g + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 2*s - 3*x - 70, 5*s = 5*x + 145. Suppose 0 = -4*f - 3*p + 51, 2*f + 2*f - p = s. Calculate the remainder when 42 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126\/4379 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.93727542 to 3 dps.\nAnswer: -0.937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 divided by -432?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4036354*u**2 + 179*u - 86 wrt u.\nAnswer: 8072708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3002b (base 12) to base 8\nAnswer: -171443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 892.3336 * -0.2\nAnswer: -178.46672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74 + 16*u**3 - 74 + (-2*u - 1 + 1)*(u - 1 + 1)*(-2*u - u + 0*u) - u**3 - 2*u**3 - u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i - 5*f + 15 = 0, -f = -5*i + 26. Let b(c) = c**3 - 4*c**2 - 4*c + 5. Is b(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 - -2.25. Let t = -18.72 + 20.92. Let p = c - t. What is the second smallest value in 1\/7, -4, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1)\/(-3) - -5. Suppose f*p - 23 = -t, -3*t + 0*p + 2*p + 27 = 0. What is the remainder when t is divided by (-2)\/(36\/(-141)) + (-12)\/(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**2 + 3*h + 3. Let n be 3\/21*(11 - (-2 - -6)). Let a(q) = -q**2 + q + 1. What is n*y(o) - 3*a(o)?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:19 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, 3.74, 1 in decreasing order.\nAnswer: 257, 3.74, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -66111 equal to -66110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.44015472 times -4\nAnswer: 5.76061888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*k + 12, 0*b - 2*b + 6 = 2*k. Let v be 1*(b + -2) - 1. Let h = v + 4. Calculate the remainder when 7 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 - 21*t - 13. Let y be r(-5). Suppose 0 = -34*k + y*k - 80. Solve -4*d = -6*d + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*i**2 + 3735*i + 100*i**2 - 1243*i - 1249*i - 1243*i.\nAnswer: 199*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 - 1312. Let p(n) = -38*n**2 - 5249. What is -4*p(g) + 17*s(g)?\nAnswer: -g**2 - 1308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let z(n) = -n**3 + 2*n**2 - 2. Let h(j) = 6*j**3 - 11*j**2 + 11. Let o be 2\/((1 - -3)\/(4 + -26)). What is g*h(v) + o*z(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = 20. Suppose 4*v - 5*i - 39 = 63, -4*i - 76 = -h*v. Calculate the least common multiple of 18 and v.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a66 (base 13) to base 6.\nAnswer: -30215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044151704 a multiple of 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + a. Let q be x(-2). Suppose -10 = r - q*r. Solve -d = r + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -2.8. Let b = 10 + -11.1. Let k = b + z. Is 0.1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-2))\/3)\/(30\/1200*-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:02 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*h - 5 + 5)*(1 + 14 - 4)*(2*h**2 - h**2 + 0*h**2)*(-3 - 3 + 5)*(0*h - h - h) in the form m*h**4 + j + t*h**3 + k*h**2 + u*h and give m.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.29324 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1794*u + 53818. What is h(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50*(-36)\/(-540)*12\/(-8) + (0 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3*p + 139*j**3*u + 711735*j**3 - 43*j*p*u + 60*p*u with respect to u.\nAnswer: 139*j**3 - 43*j*p + 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-828)*2*-18*(-44)\/88?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t + 31. What is c(32)?\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -1\/120*o**5 + 5\/6*o**3 + 0*o**2 + 6*o + 0 - 7\/24*o**4. Let w(q) be the second derivative of f(q). Differentiate w(t) wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l. Solve -3*s - 7 = 2*b, 11 = -5*b - s - l*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 - (-6 + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 1\/3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 14 (b) 0 (c) -0.3 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209321213.\nAnswer: 271, 772403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**3*z**3 - 4*c**3*z - 4*c**2*z**3 + c*z**3 + 11*z wrt z.\nAnswer: 30*c**3*z - 24*c**2*z + 6*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6872 and 1360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -25. Suppose -v - d = -99. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 92574. Let f(j) = -2429*j - 4 + b*j + 16015*j. Let n be f(-9). What is n rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -275, -274, -273?\n\"Answer: w - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-25) - ((-84)\/175)\/(-6). Put -2, -17, -3, b in descending order.\nAnswer: b, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -241.449 - 0.551. Let l = -242.4 - q. What is the biggest value in 0.1, 14, l, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.731472 litres in millilitres?\nAnswer: 731.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**7\/(g**(2\/43)\/g**(-7)))**(-29) assuming g is positive.\nAnswer: g**(17632\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:39 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 94\/(-4) + 4\/(-8). Let x = f + 2. Calculate the common denominator of -149\/12 and (x\/(-28))\/(0 + 1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = 5*r - 0*r, 5 = r + 3*u. Let p = -0.2 - -0.21. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-423)\/30)\/(17\/((-29580)\/261)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and (-51)\/(-34)*(-110)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 0.2, -2\/5, -50, -1\/3, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuwu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/10*-1)\/(1\/24). Calculate the common denominator of 9\/4 and 11 + u + (-194)\/(-72).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*g**2 - 32*g**2 - 33*g**2 + 1 - 1 - 34*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/21740 and 111\/121744?\nAnswer: 608720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 105*k**2 - k - 137*k**2 + 5 as p + y*k + o*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360*c**4 + 330*c.\nAnswer: -4320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6589006750 to the nearest one million.\nAnswer: -6589000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppqq when four letters picked without replacement from {q: 3, p: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -1, -242, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 55185*v**3 - 34*v**2 - 35*v - 26. Let l be f(-6). What is l rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3195*h**2 - 4*h - 16. Is a(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6579757?\nAnswer: 19, 346303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1. Let r(o) = o + 4. Let g(k) = 4*m(k) - r(k). Let f(l) = 2*l**2. Give g(f(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 22*c + 19*c = 30, 4*r + 5*c + 49 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/20*(-42)\/(-18)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:43 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 584\/(-12). Suppose s + 3*s = 2*b - 204, 0 = 3*b - 3*s - 300. Let u = g + b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1150*a*n**2*q**4 - a*n**2*q + 12384*a - 3*n*q + 9*q**4 wrt q.\nAnswer: 13800*a*n**2*q**2 + 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.906 times 0.4\nAnswer: 1.1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 332 - 29 - 10*r.\nAnswer: -2*r - 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j**5 + 114584*j**4\/5 - 239842*j**3\/5 - 898124*j**2\/5 + 78672*j\/5 = 0 for j.\nAnswer: -1639, -2, 0, 3\/35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420 + 180 + 61*l**3 - 600.\nAnswer: 61*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 133.2?\nAnswer: 133.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*x + 1 = 0, 4*l - 4*x + 0 + 12 = 0. Suppose -u = 2*s, -22*s - 6 = 2*u - 24*s. Is 4 a factor of (0 + 34 + u)\/(l\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/1*74*28\/2072*(-5)\/(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3\/8 + 27615*y**2\/8 - 471417*y\/4 - 526623 = 0.\nAnswer: -9239, -4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 48*c**2 + 4*c - 12. Let i be s(-9). What is i rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5450365 is divided by 3924.\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 119*o\/4.\nAnswer: o*(o + 119)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232112 to the power of 1\/2, to the nearest integer?\nAnswer: 3351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170469426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514233*f - 514399*f + 1028627*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + m. Let u(f) = 10*f**2 - 6*f. Let b(v) = -6*n(v) - u(v). Let k(j) = -j. Give k(b(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1804.33 - 1756. Which is smaller: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1035.6.\nAnswer: -3106.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11958832.\nAnswer: 2, 747427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*z**2 - 83*z**2 + 4 - 10.\nAnswer: 9*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61415.2 nanograms in grams?\nAnswer: 0.0000614152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*h + 188, -4*h = 15 + 5. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/(1\/3). Suppose -2*q = o*q - 65. What is the remainder when 36 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 96. Let c(l) = -2*l**2 - l - 2752. Calculate f(c(d)).\nAnswer: 2*d**2 + d + 2656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*l**2 + 118785*l**3 - 27*l**2 - 118787*l**3 - 40*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 0*f + 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 10*n + 4 - 3 + 34*n + 6 to the form s*n + j and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1))**38\/(y*y**(2\/3)*y)**(-49) assuming y is positive.\nAnswer: y**(620\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*h, 33*h = 2*x + 32*h + 21 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11319273900 to the nearest 1000000.\nAnswer: -11319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) -110 (b) -3 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117852*d + 119374*d + 114150 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17424 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - -92. Let z = 191 - h. Calculate the highest common divisor of 16 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 146. Let k(r) = -18*r + 1239. Calculate the least common multiple of z and k(67).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 186? (a) -2 (b) -4 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 91136.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 408088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 729*t**2 - 7*t + 1736. Let y(k) = -243*k**2 + 2*k - 579. Let i(b) = 2*w(b) + 7*y(b). Find the first derivative of i(h) wrt h.\nAnswer: -486*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/98)\/((-10)\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:49 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 2*t**6\/15 - 3*t**4\/8 - 11*t**2. Find the second derivative of g(m) wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) + 30\/(-75)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -300\/2816377?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) + (0 - -2). Suppose 2*c - 1 = 3. Does y = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -281 + 281. Let u be 4 + (32 - -5) + h. What is the greatest common divisor of 41 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 + 56 = 0. Suppose -3*l - 5*c + h = -0*c, c = -l + 4. Solve -u - b = 1, -3*b - l = 2*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13023211021 (base 4) to base 3\nAnswer: -10112122020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 411, 532, 649, 762, 871?\n\"Answer: -2*g**2 + 127*g + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:36 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-3 + sqrt(19) + sqrt(171))) + 5.\nAnswer: -3*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1265 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = 4. Let f be 621\/(-18) + (-1)\/2. Let d be 34\/f - (-28)\/70. Which is the second biggest value? (a) d (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 5*r + 2. Suppose 2*p = 5*l, -p - 4*l = l - 15. Let m be f(p). What is the first derivative of m*h**4 - h**4 - 2 + 4 wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-22)\/(h**(-9)\/h)*(h\/(h**(-1)\/h*h))\/((h\/(h**(-4\/3)\/h))\/h))**(-2\/77) assuming h is positive.\nAnswer: h**(74\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - v - 3, 0 = -v + 3 - 2. Suppose -2*n - a*k = -122, -5*n - k = -2*n - 163. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, e: 3}. Give prob of sequence tete.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2542*d + 15258. What is l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12335163 is divided by 6167571.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 = 12*p - 55. Solve -5*k + p = 6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0*j - 2*j)*(1 + 3 - 5)*(-25*j - 10*j - 11*j + (0*j - 7*j - j)*((3 - 3 - 2)*(-3 - 1 + 1) + 4 + 0 - 2)) to o*j + g*j**2 + u and give g.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -131, -131, -141, -167, -215, -291, -401, -551?\n\"Answer: -l**3 + l**2 + 4*l - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21150.695 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1384 and 38?\nAnswer: 5.2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 473 - 113. Let l be g\/32 - 1\/(-4). Let t(u) = 3*u**2 - 2. Is t(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 - 237 - 67 - 159)*(1 - 1 + 2*s) to w*s + x and give w.\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 4*k + 15. Let t = -83 - -88. Suppose -o + 10 = -4*o - 5*h, t*o + 4*h + 8 = 0. Solve -3*m - 17 = -4*m - k*q, 2*m + 2*q - 14 = o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 + 2*w**2 + 1. Let h be z(-1). Let l be h*4\/(-48)*(16 - 4). Solve 13 = l*d + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -5\/4, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009277.\nAnswer: 379, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1516.36968 microseconds?\nAnswer: 0.000000002507225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - u**3 - 3 + 7*u**2 + 2 to the form i*u + k*u**3 + b*u**2 + r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10\/12*(-200916)\/(-809245)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*v - 15, 4*k + 2163061 - 2163213 = 22*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 27703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112288 and 22.\nAnswer: 112288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -5. Let r = 18 + f. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 526, 528, 530, 532, 534?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juzuuzuau. What is prob of picking 1 z and 1 j?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8*x = 0. Suppose x = 4*i - 10 - 2. Let b be 139 - (0\/5)\/i. Round b to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 20*c + 1. Let h be u(-12). Sort -1, -5, h, 5 in ascending order.\nAnswer: -5, -1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose 3*n = 5*n - 5*o - 40, -3*n + 42 = -3*o. Let t be (-10)\/(-4)*8\/n. Solve 0*c + q = t*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/115053 - -1367871\/2147656. What is the common denominator of v and 163\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((1*sqrt(891) + sqrt(891))*-5 + ((-1 + sqrt(891))*4 - sqrt(891))))**2.\nAnswer: 290304*sqrt(11) + 25156800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13019 - -30949. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -246.9 + 207.9. What is the third smallest value in -2, l, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*b**3 + 303*b**3 + 302*b**3 + 307*b**3 - 1215*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 2. Let q = -550 - -552. Suppose 2*m = -u - 14, -m - 14 = m - q*u. Determine t(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.5. Let g = r - 0.1. Let k = g - -1.2. What is the second biggest value in 4, k, -4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2426063, -2426075, -2426085, -2426093, -2426099, -2426103?\nAnswer: -2426105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:01 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g + 2. Let a(m) be the first derivative of -m**2\/2 + 104. Calculate 4*a(i) - w(i).\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. What is the remainder when (-1 - -2)\/((-2)\/(-6)) is divided by (2 - 0)*(j - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250b (base 12) to base 14\nAnswer: -1751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 690 - 745.9. Let o = h + 59. Let g = o + -3. Which is bigger: g or -0.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -39*f. Let r = 1240 + -700. Let s(n) = -541 - r + 1081 - 3*n. Give i(s(k)).\nAnswer: 117*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*f + 9. Suppose -23*c - 186 = -29*c. Suppose c*j - 2522 = 5*j. What is the remainder when j is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(121))\/(sqrt(33)\/sqrt(3)*3).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -45, -52, -73, -114, -181, -280?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*k = -15, -5*b - 4*k - 4*k - 50 = -3*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 21*f**2 - 70*f - 11. Let t be l(-17). Solve 15*q - t*q + 32 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -380582.4 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 546, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*w**4 + 17*w**3 - w**2 - 88*w?\nAnswer: -288*w + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3567*r**3 + 2 + 3386*r**3 - 8*r - 6941*r**3 - r**4 - 5*r**2 to k + l*r**4 + q*r**3 + h*r + s*r**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 478, -262, -0.03, -2\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 33 = 3*r. Sort -19, r, -10 in decreasing order.\nAnswer: r, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*b + 3*s + 31, -2*b - 4*s - 8 = 0. Suppose -b*n + n - 11 = v, -5*v + 3*n = -57. Suppose -v*x + 2*x + 644 = 0. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**27*d**(7\/6)*(d**(1\/6)\/d)**(8\/3) assuming d is positive.\nAnswer: d**(467\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 279 (base 14) to base 9\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 9. Suppose 4*t - 6*i = -2*i + d, -4*i - 12 = 0. What is the second derivative of 0*u**t + 5*u + 0*u**3 - 2*u**3 - 16*u wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.974303 from -569.\nAnswer: -568.025697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*n - 685, 4*n = -4*v - 280 + 960. Solve -171 = -3*d - n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 6*t + 4*t + (4 - 3 + 1)*(-2 + 2 + 5*t) + 6*t + 31 - 31.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 1019, 1\/3, 454, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 2)\/(-7 + 5). Factor 0*c**2 + s*c - 2\/19*c**3 + 0.\nAnswer: -2*c**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 + 7*k + 2. Let j be s(-7). Solve j*g - c - 3*c = -22, 4*g = -5*c - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 4*l - 1. Let t be j(4). Let g be 30\/8 - t\/4. Find the third derivative of -2*r**6 + 2*r**2 + 0*r**2 + g*r**6 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -31. Let i = 0 - -9. Suppose -l = -2*p + i. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 3*i - 8 = -7*u, 2*u - 5*i = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -13\/2*h**2 + 0*h**5 + 6*h + 0*h**3 + 0 + 1\/6*h**6 + 0*h**4. Differentiate n(j) with respect to j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3273, 6566, 9865, 13170, 16481, 19798, 23121?\nAnswer: 26450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 43191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 16) to base 9.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*u + y - 8, 3*y = 2*u - 48. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547042 to the power of 1\/2, to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167967858 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-14))\/((-104)\/416))\/(7\/((-84035)\/(-105))).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -151342, -7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.028? (a) 2\/3 (b) -3 (c) -2\/5 (d) -115 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-10))\/(((f*(f\/(f*f\/f**(15\/2)))\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158158 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = h. Let l be (h + (-3)\/3)\/1. Let v(f) = f**2 - 3*f + 3. What is the units digit of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435842221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -5*i - 0*h, -7 = -i + h. Let b = -184\/3 - -62. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 6 = 0. Suppose u*c - 50 = 56. Let l = c + -23. Calculate the greatest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + ((sqrt(198)\/(sqrt(11)*2))\/sqrt(9) + (-5*(sqrt(384) + sqrt(24)) - sqrt(24))\/sqrt(12))*1.\nAnswer: -51*sqrt(2)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 560 - 684 = 0. Calculate the greatest common divisor of f and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -486*v**2 + 6. Let g(z) = -973*z**2 + 14. What is 3*g(h) - 7*o(h)?\nAnswer: 483*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/13 + 226*o\/13 - 460\/13 = 0.\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 17 = -2*r, 2*m + r = -2*m - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.0494.\nAnswer: 0.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495880628?\nAnswer: 2, 29, 4274833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and -4667.87.\nAnswer: -4676.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (586 - 586) + 0 + -40 + (-42 - -40).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -2, 0, 5, -3, 6610 in descending order.\nAnswer: 6610, 5, 3, 0, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 12. Suppose 8 - 36 = 2*x - 2*y, 3*x = 5*y - 44. Let m = x - 4. Let j be h(m). Calculate the highest common divisor of 261 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Suppose -2 = -v*s + 2. Solve 3*a = s + 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 7 + (-2 - -22) + (-17 - -9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 67. Let p be u(0). Let l = -19 + 38. Suppose 3*v = 2*r - l, -5*r + 0*v + v = -p. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*x + 1 = u, 3*u + 4*x = 0. Let o = 9 + u. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11651 + -4?\nAnswer: 11646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + n - 5*n)*(49619*n + 3415*n + 28482*n + 52323*n - 16898*n - 15397*n).\nAnswer: 101544*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -2 (b) -71 (c) 0 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x + 5*x - x)*(-935 + 1793 - 960 - x**2) in the form h*x**3 + f*x + k + a*x**2 and give f.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -66050391.1 rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -365, -541, -2, 4 in descending order.\nAnswer: 4, -2, -6, -365, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172388 - 171213 = 47*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*x + 11826 + 887, 3*x = -4*k - 50904. Let t = -2428 - k. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020609 is divided by 113377.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 25 - 74 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 4*v + 40*v.\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -45073879\nAnswer: -2\/45073879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19330, -38613, -57912, -77233, -96582?\n\"Answer: -q**3 - 2*q**2 - 19270*q - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12785.076 milliseconds to hours.\nAnswer: 0.00355141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 5*u - 6. Let x be k(-5). Let v be (x\/20)\/(2\/(-4)). Put 4, v, -0.5 in descending order.\nAnswer: 4, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tirdiitdtliylty. Give prob of sequence ty.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202, -371, -540?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 - 20*d + 16. Let m be k(9). Let t be ((-26)\/(-39))\/(m\/(-12)). Solve 0*s - 2\/11*s**t + 0*s**2 + 0 + 2\/11*s**3 = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 53. Suppose -7*l = -q*l + 7944. Let u = -727 - l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**4 + u**4 + u**4)*((3*u - 5*u + 3*u)*(2 - 2 + 1) - 3*u + 0*u + u - 4*u + 2*u - u) + (2*u + 1 - 1)*(0*u**4 + 2*u**4 + 0*u**4).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1103896 and 67234185.\nAnswer: 66130289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d. Let z(u) = -15258*u. Calculate y(z(q)).\nAnswer: 137322*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7499 = 5*t - 7569. Let r be -2 + 1 + 2 - -3. Suppose 2*c - t = 2*z - r*z, 4*c - 3*z = 21. Let n(g) = g**3 - 7*g**2 + 6*g - 4. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 3\/2, -1\/11, 0.3, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 829 + -824. Let l(j) = j**3 - 12*j + 15. Let k be l(f). What is the greatest common divisor of k and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*i - 85 = 0, 13 - 80 = -2*t - 3*i. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 892557358 and 5236?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 3*y - 22. Determine v(9).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 516707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nseeessnseneneneeee. Give prob of picking 1 s and 2 e.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x + 1. Let w(t) = 4*t + 1. Let g(b) = -3*v(b) + 4*w(b). Let i(z) = 5*z + 5. Determine 22*g(d) - 4*i(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1373700 divided by -10?\nAnswer: 137370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011942 to 6 decimal places.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16804*m - 16807*m - 10 = -2*y + 3*y, -2*y - 14 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -441 and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 8787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-3)*225\/175?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 8*z**2 + 5*z - 13. Let o be w(-7). Solve k - o = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*t**3 + 19*t**3 + 22*t**3 - 2*t in the form s*t + l*t**2 + b + y*t**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/9 + 2\/9*c**2 - 16\/9*c = 0. Calculate c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34759625 and 2855?\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(24\/5)*b*b**(2\/105)*b*b)\/((b**7*b)\/(b\/((((b**(19\/2)\/b)\/b)\/b)\/b))) assuming b is positive.\nAnswer: b**(-2789\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3 + 266*v**2 - 724*v - 7280 = 0. Calculate v.\nAnswer: -4, 7, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w + 3*w**2)*(3*w + 2*w + w)*(3*w - 3*w + 84*w**2 - 48*w**2).\nAnswer: 648*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.998 - 0.002. Let n = d - -20. What is the nearest to -2 in n, 3, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -42937448?\nAnswer: 1\/21468724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 468 = 4*r. Let m be r\/85*10\/8. Which is the closest to -19? (a) -5 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -10\/15311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -36*j**2 + 2\/105*j**7 + 0*j + 0*j**3 + 1\/10*j**6 + 2\/15*j**5 + 0*j**4 + 0. Let h(b) = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -2*i - 15*i - i. Let h(a) = a**2 + a. Let c be h(-2). Calculate the greatest common factor of i and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:10 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*b*z**3 - 7*b*z + 12*z**4 + 2*z**2 - 34*z wrt z?\nAnswer: -822*b + 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85316 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybbu when four letters picked without replacement from {b: 3, v: 2, u: 2, y: 13}.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173692 - -173695. Let a be (2\/3)\/(2\/30). Sort -2, a, z in decreasing order.\nAnswer: a, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 800 and 4224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/5 + 1 + 11. Let p = l + -6. Solve 2*a + 3*q = -5, 6*a - 2*a = p*q + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*g + 3488*g + 4124 - 160434 = 0 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is e881 (base 15) in base 5?\nAnswer: 3033141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - k. Let l(g) = -83*g**4 - 2*g**3 + 2*g + 16. Let z(a) = -3*l(a) - 6*s(a). Differentiate z(n) with respect to n.\nAnswer: 996*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + -2.94. Let o = 7 + t. Let y = -8 - -6. Which is the closest to 0? (a) o (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-536)\/18 - (-926 + 918) - -22\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -243 and -0.5?\nAnswer: 121.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:35 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -3616?\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 124. Let i be 74\/(-6) + (-6)\/342*-19. Let w(t) = t**3 + 13*t**2 + 11*t + 9. What is the remainder when b is divided by w(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/2 - 9*i**4\/2 + 3*i**3\/2 + 33*i**2\/2 + 18*i + 6 = 0. What is i?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15206 (base 11) to base 15\nAnswer: -65b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = -990. Let l = w - 97. Suppose -6*q = -l - 349. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50952, -101934, -152982, -204132, -255420, -306882?\n\"Answer: -6*g**3 + 3*g**2 - 50949*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-10)*0\/2. Suppose k = g + x - 13 - 2, 0 = g - 4*x - 5. Let m(b) = 1 + 7*b + g*b - 10*b. Determine m(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9*l - 2*p = -68, 0 = 5*l + p - 88. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 897 and 345.\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 - 1060 = -409*w + 582*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 7*t**2 - 9*t + 8. Let y(m) be the third derivative of -m**6\/60 + m**5\/10 - m**4\/3 + 7*m**3\/6 - 8*m**2. Determine 6*p(i) - 7*y(i).\nAnswer: 2*i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*p - 10*p - 2*p)*(-1 - 2 + 2) + p + 4*p - 6*p + (p + 0 + 0)*(1 + 3 - 6) to n*p + o and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1658250 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -0.6, -0.4, -3.2.\nAnswer: -3.2, -0.6, -0.4, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 4*w + 4. Let k(d) = 14*d**3 - 8 + 1 + 15 - 6 - 13*d**3 + 2*d. Determine -7*k(f) + 3*y(f).\nAnswer: -4*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7\/(210\/(-156))*45\/(-3) is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*m**2 + l**3*m - l**2*m + 3*l*m - 28691*m**2 - 393*m wrt m?\nAnswer: -4*l**3 - 57382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(2057)) + 5 + -4)**2 + (sqrt(17) - (sqrt(17) - sqrt(85)\/(sqrt(30)\/sqrt(6)))**2 - ((-3*sqrt(68))**2 + sqrt(68)))*-2.\nAnswer: 442*sqrt(17) + 34161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - 56156\/(-37840). Let q = 1\/1419 - f. What is the common denominator of -3 + 2 - 41\/4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20396 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.11, -2\/3, -0.5, 2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(5*(-9)\/45). Solve -2*w = -5*s + 6*s + 2, l = -4*s - 4*w - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 62. Calculate s(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 11 = 3*y, 4*c + 5*y - 13 = 4*y. What is the second derivative of -f**5 + c*f - 6*f + 2*f**5 + 2*f wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 106*g**2 - 235*g + 2059. Calculate a(108).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -19 - (-8 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -240*(12625\/(-10))\/(-5). Round k to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 30 = 13*b. Let h(w) be the first derivative of -w**4\/12 + 4*w**3\/3 - 2*w**2 + 13*w - 10. Let z(i) be the first derivative of h(i). Give z(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7376168.332 rounded to the nearest 1000?\nAnswer: 7376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 - 4*h - 3. Let f(p) = -4*p**2 - 5*p - 3. Determine -2*f(v) + 3*r(v).\nAnswer: -4*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 174195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*l**3 + 3*l**4 - 2*l**3 + 2*l**3 + 5*l wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*m + 4*m. Let b be (6\/m)\/(5\/(-40)). Let a = b - -41. What is the remainder when a is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = f - 19, 10 = 5*f - 5*y - 115. Suppose -v = -2*u - 16, 0*v + u + f = 2*v. Let n be (-9)\/6 - (-1)\/2. Sort n, -4, v in increasing order.\nAnswer: -4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, d: 4, c: 6}. What is prob of picking 2 d, 1 c, and 1 a?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a - -8?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 + -29.6. Let s = 32.2 + w. Which is the nearest to -4? (a) s (b) 1\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161900 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 - 56188*g**4 - 19080508*g**3 - 1620916308*g**2 + 3299298912*g - 1659245904 = 0.\nAnswer: -13701, -174, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-1*10\/66).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 5*s - 39, -16*c + s + 13 = -11*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263795 times 7?\nAnswer: 22846565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 + 1. Let p be f(1). Suppose -k = p - 10. Find the second derivative of 0*m**2 + 3*m - k*m**2 - 3*m**2 + 2*m**2 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54505327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -508497 in 16, -0.1, 7, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5\/2 + 265*v**4\/2 + 3375*v**3\/2 - 3645*v**2\/2.\nAnswer: 5*v**2*(v - 1)*(v + 27)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 2*a**2 - 2*a + 1. Let m be x(2). Put m, -4, -9 in descending order.\nAnswer: m, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967920391?\nAnswer: 17, 115760023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 3, 5, 7, 9?\n\"Answer: 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - v**2 + 1)*(-v - v + 0*v) + (-4 + 5 - 7)*(-20 + 29*v**3 + 20) to the form x*v**3 + d*v + h*v**2 + a and give x.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13598*i*r**2*v - 433*i*r**2 - 2*i*v + 2*r**2 + 1 wrt v?\nAnswer: 13598*i*r**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgfggggjgffgjcgggg. What is prob of picking 1 g, 1 c, and 1 j?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (730\/(-4) + 1)*(-34)\/(-510) and 53\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 114?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3020039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s = -53*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*h + 6*h - 8 = 0, -2*z = -5*h - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose u - o = -4, 5*u = -2*o - 3 - 3. Let x be (-5)\/u*4\/s. Solve 5*h - 1 = -3*t, -5*h + 16 = -0*t - x*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56441.\nAnswer: 7, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 357084 and 60.\nAnswer: 1785420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*y + 62 - 17 = 0, 5*u - 5*y = 45. Calculate the smallest common multiple of (-46 + 8)*2\/(-4) and u.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:02 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert daf (base 16) to base 6.\nAnswer: 24115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 46 - 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 6301977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 156, 4.51, 2\/17, 4 in descending order.\nAnswer: 156, 4.51, 4, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*c - 12 = 0, u + c + 6 = -c. Suppose -4*s + 5*b + 642 = -u*s, 150 = s + 4*b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/55*(30 + (7 - 13) - (291 + -272))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 16*a**2 - 27*a + 11. Give o(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758516199?\nAnswer: 3, 7, 29, 191, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581457048?\nAnswer: 2, 3, 3371, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 7, 18 in increasing order.\nAnswer: -2, 7, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.4 + 12.9. Let j = 0.07 - -2.93. Sort -5\/4, j, r in descending order.\nAnswer: j, r, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*1)\/sqrt(5) + (-1*sqrt(19))**2 + -1.\nAnswer: sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-147)\/(-125265))\/(6\/(-31555)). Let z = r + 6\/1193. What is the common denominator of 85\/6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -600*m. Let s(g) = -22*g + 3. Give s(f(x)).\nAnswer: 13200*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5\/10 + 13946*v**4\/5 + 223091*v**3\/10 + 264904*v**2\/5 + 167304*v\/5 = 0.\nAnswer: -27884, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 4*h + 2 + 3*h. Let i be b(4). Let n = i + 19. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b, 0 = -x + b + 1120 + 134. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4\/3*b**2 + 0 - b**3 + 4\/3*b = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1744.3 to the nearest 10.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19237647 divided by 6412549\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 32305, 0, -6 in descending order.\nAnswer: 32305, 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*u - 64, -2*u = -4*l - 0 + 50. Calculate the lowest common multiple of l and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 82*x - 44 + 26 - 693*x in the form n + y*x and give y.\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(14\/5)\/(i**(-19)*i) assuming i is positive.\nAnswer: i**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.3 (c) 3\/43267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -18.6. Which is the second smallest value? (a) -0.1 (b) -1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1997*z**3 + 10*z**2 + 6. Let p(u) = 3990*u**3 - 21*u**2 - 11. Let j(x) = -11*h(x) - 6*p(x). Find the third derivative of j(n) wrt n.\nAnswer: -11838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**3 - 45160*m**2 - 58082*m - 12908.\nAnswer: 2*(m - 3227)*(m + 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**5 - 68*h**4 - 1498*h**2.\nAnswer: 60*h**2 - 1632*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 22. Suppose -j = -y - 3*y. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 1260, 3, -7, -4 in increasing order.\nAnswer: -7, -4, 3, 166, 1260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1695.24 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194334597*a**3*u**6 + 4*a**3*u + a**3 + 6*a**2*u**2 + 132*a*u**2 - 964*a wrt u?\nAnswer: 23320151640*a**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 - -374. Suppose 3*k = j - 21. Calculate the remainder when k is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*u**2 - 2*u + 33*u + 312*u**2.\nAnswer: -191*u**2 + 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-3 + 0 + 2)*(-4*q - 5*q + 0*q)*(-27824*q**2 + 27828*q**2 - 11 + 204).\nAnswer: 36*q**3 + 1737*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*g + 28 = -337*g. Solve 2*b - 4 = g*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**2 - 8*s + 8. Let g(k) = -5*k**2 - 3*k + 3. Let z = -13 + 10. Suppose -m = -2 + 3. Let x be (4\/z)\/(m\/6). What is x*g(h) - 3*w(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 7. Let k(d) = 3. Let b(t) = 5*k(t) - n(t). Let z be b(27). What is the fourth biggest value in -9, -1\/6, z, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5 + 14. Let k be 60\/(-225)*f\/6. What is the nearest to -25 in -3\/5, k, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6*y + 1. Let d be x(7). Let h = d + -1. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 3*s**2 - s + 22. Let j(m) = -1. Let c(u) = -4*b(u) - 36*j(u). What is the first derivative of c(w) wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10624*k = -2639*k + 6331*k + 1846764 for k.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1200, 973, 702, 387, 28?\n\"Answer: -22*n**2 - 161*n + 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 3*o)*(4*o**2 - 9*o**2 + 9*o**2).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.8. Let l = -0.3 - g. Let t(y) = y - 3. Let f be t(0). Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42446?\nAnswer: 2, 19, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 104, 180, 270, 380, 516?\n\"Answer: r**3 + r**2 + 66*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 5355*i + 37338.\nAnswer: 3*(i - 1778)*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1502*i**2 + 305*i.\nAnswer: 3004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*-5*(-3 + sqrt(175)*-1)**2*4*-5 + 4.\nAnswer: 18000*sqrt(7) + 110404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -5, 0.2, 5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c**3 - 738*c**3 - 6*c**2 - 1912*c - c**5 + 757*c**3 wrt c?\nAnswer: -20*c**3 + 24*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11671*b + 5825*b - 67 = -5814*b + 29 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -51. Suppose -8*g - 64 = -w*g. Let u = g + 335. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -247.0000385 - -247. What is g rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*f = -14, 188*f = 193*f - 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose -8 + y = -3*j. Find the third derivative of 3*r**j - 3*r**3 - 3*r**4 + 3*r**3 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18429 + 18428.9978396. Round j to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - a**4 + 0*a**2 - 428*a - 5*a**3 + 429*a to f + y*a**3 + z*a**4 + w*a**2 + v*a and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19*v - 22. Give x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*s**3 + 8*s**2 - 10732*s.\nAnswer: -234*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from adeaiaiieadwaia.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 47. Let l be (k + -1)\/((-3)\/(-285)). Let y be (l\/3)\/(7\/(-840)). What is y rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1376)\/(-36))\/((-18)\/(-81)). Calculate the greatest common factor of j and 1204.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*3\/(-6)*2. Suppose 2*u + 5 = 3*u - 2*w, 3*u - t*w - 13 = 0. Find the common denominator of (-1)\/((-32)\/(u*-2)) and -145\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/235855 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-4408)\/(-8265)*5\/(-4). Factor j**s - 4 - 1\/2*j**3 + 2*j.\nAnswer: -(j - 2)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 98, 222, 396, 620?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - 297. What is the third smallest value in 5, g, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -16*v + 9. What is the units digit of b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-15)\/10)\/((-15)\/8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(20\/7)*f**11)**(7\/9) assuming f is positive.\nAnswer: f**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cc1 - 38e?\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-69)\/12 - 4\/16. Let s be (-15)\/(-6)*y\/(-5). Solve -5*g + z + 14 = -3, s*g - 13 = 2*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*x + 3586 = -4814 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.24534 to 2 dps.\nAnswer: -2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/74417167 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058261 to five decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + 9*i - 9. Let p(l) = -l**3 + 2*l**3 + 2 - 4*l + 1 + 1. What is -4*j(o) - 9*p(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**2. Let t(a) = -a + 20. Let v(h) = 70*h - 1120. Let q(n) = 56*t(n) + v(n). What is q(p(w))?\nAnswer: -140*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 19, 15, -11, -71, -177, -341, -575?\n\"Answer: -2*f**3 + 7*f**2 - f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5) - 18\/(-180).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3150 divided by 630.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g**2. Let t(l) = 20*l**2 + 21*l**2 - 43*l**2. Determine t(w(b)).\nAnswer: -392*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312056220 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 2*g - 46 + 35 + 30 to the form c + u*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4\/5, 1.4, 1\/2, -10, -4.\nAnswer: -10, -4, 1\/2, 2\/3, 4\/5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let s = -2 - -2. Let o = 84 - 87. Which is the closest to s? (a) o (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)*((b*b**(-2\/7)*b)\/b*b)\/b*(b**(-1\/2))**(-6)*(b\/b**(-2\/9)*b\/b**(-2\/13))\/(((b**(2\/7)*b)\/b)\/(b**7*b)) assuming b is positive.\nAnswer: b**(8030\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 12. Let j = -1403 - -1414.992. Let w = j - y. Round w to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1064 (base 9) to base 2.\nAnswer: -1100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6*s = -2*s + 16, -d + 5*s = -8. Solve -d = 5*r - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4193*b**3*y**5 + 9*b**3*y + b**2*y**2 + 10*b**2*y - 2*b**2 + 128*b*y wrt y.\nAnswer: 83860*b**3*y**3 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t - 93*t**3 + 24*t - 199*t**3 - 11*t.\nAnswer: -292*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*i + 33, -2*i = -4*w + 154150. List the prime factors of w.\nAnswer: 2, 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y - 6 = 0. Factor q**5 + 0*q - 1\/4*q**y - 9\/4*q**4 + 3\/2*q**3 + 0.\nAnswer: q**2*(q - 1)**2*(4*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 71, 117, 165, 215?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109640176 divided by 1336.\nAnswer: 82066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c9120 + -9?\nAnswer: 2c9115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 610239.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -27a5840b?\nAnswer: -27a58412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/310 - 647\/2790. What is the second smallest value in -412, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211\/574 + 5\/82. Put -0.3, 0.183, i, -1 in decreasing order.\nAnswer: i, 0.183, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j. Let i(c) = 435899*c. Give x(i(m)).\nAnswer: -2615394*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -14, -2, -1.\nAnswer: -14, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**7\/252 + t**6\/360 - 5*t**4\/12 + 9*t. Let n(s) be the third derivative of z(s). Find the second derivative of n(d) wrt d.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/((-4)\/15*525\/(-2310)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6012*m - 2000*m - 2007*m - 2001*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 612818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -17 + (45 - -1 - (-27 - -32)) + 2\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n - 116. Let r be l(-22). Solve -r = -20*u - 184 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -y - 5*h, 0*y = -3*y + 5*h + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*r = 54*r + 50904. Suppose -16*d = o - 21*d - 695, 3*d + r = 3*o. What are the prime factors of o?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 8*x + 2. Let o be r(-4). Let w(l) be the first derivative of -4\/5*l**5 + 4\/3*l**3 + 6 + 0*l - 1\/2*l**4 + 1\/3*l**6 + 0*l**o. Factor w(u).\nAnswer: 2*u**2*(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - 10968844 + 10968844.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -596, -941, -1340, -1811, -2372, -3041, -3836?\nAnswer: -4775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20412 + 20435. Solve -u = v*s - 28*s - 7, -5*u = s + 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/10 - 607*o\/5 + 61533\/10 = 0.\nAnswer: 53, 1161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/9 (b) -0.5 (c) 0.9 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 1786*o + 1786*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 372.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/30 + 511*z**4\/6 - 341*z**3 + 46*z**2 + 17. Factor d(f).\nAnswer: 2*(f - 1)*(f + 1023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*z - 82, -3*z + 5*b + 107 = -18. Calculate the highest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-80)\/(-15))\/(-1*8\/84). Let f = -7 - p. Is 50 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*g**2 - 10*g - 14*g + 8 + 54*g**2 - 29*g**2 in the form i*g**2 + b + w*g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2483712 = -199*w - 15*w - 138*w. Is 36 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139556 and 36140.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t*v**3*w + 3*t*v**2*w + 5*t*v*w + 59*t*v - 11*v**4 + 82*v**3 + 37*w wrt v?\nAnswer: -18*t*w - 264*v + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 20, -6, -7087\/4 in descending order.\nAnswer: 20, -2\/5, -6, -7087\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:34 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -616*c**3*i*w - 10*c**3*i - c**3*w + 4*c**2*w - 3*c*w**2 - i*w**2 + 76*w**2 with respect to i.\nAnswer: -616*c**3*w - 10*c**3 - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6918203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95589 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -20 (c) 0.2 (d) 3\/11 (e) -133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/95 and 117\/35680.\nAnswer: 677920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/16 + (-90)\/8. Let k(n) = -n + 9. Let l be k(i). Let s = -18 + l. Solve -2*a - j - 6 = 0, -2*j + 1 - 9 = s*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose -3*n + g + g + 140 = 0, -2*n + 115 = 3*g. Let k = -21 + n. Suppose x - k - 12 = 0. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 27. Let i = k + 55. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - 94*o + 19*o + o**2 + 24*o - 131*o + 3*o**3 as c*o**2 + b*o + q*o**3 + p and give b.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/40*(26\/65)\/(868\/(-20))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197995 is divided by 32997.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108766941847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 2 = -14. Calculate the remainder when 103 is divided by (16\/12)\/(f\/(-39)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1945*v**2 - 1945*v**2 + 20*v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**4\/4 - 11*i**3\/3 + 2*i**2 + 22*i + 42. Let w be z(-5). Is -148 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3227 (base 8) to base 14.\nAnswer: -887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1684728 and 692?\nAnswer: 291457944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 373 and -3.\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11792 is divided by 392.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = z + 2*g - 31, 2*g - 58 = -3*z. Let p be ((-3)\/2)\/((-24)\/z). Are 2 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 879118168 and 0.05.\nAnswer: 879118168.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6664157391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2104 and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182275315 to the nearest integer?\nAnswer: 13501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/9 - 2\/9. Let h be 5\/(-20) + 1\/(-28). Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*g = 178*g - 140. What is the smallest common multiple of g and 664?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 20*d + 2*d**2 - 9*d - 3*d**2 + 29*d - 2. Let w(h) = -h**2 + 4*h + 7. Let p be w(6). Determine c(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*p**4 + 530*p**3 + 528*p**2 + 174*p - 1 = 0. What is p?\nAnswer: -1, 1\/177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -11.5, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436 (base 11) to base 2.\nAnswer: 1000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/11 + 74804*x**4\/11 - x**3\/11 - 74804*x**2\/11 = 0. Calculate x.\nAnswer: -74804, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0.4, -1, 0.06?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 9 - 24 = -4*h, p = -1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + p - 25, -4*o = -3*p - 25. Let y(w) = w - 11. Let n be y(o). What is the common denominator of n\/((-5)\/11 - -1) and 117\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2592 is divided by 819?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v**3 - v)*(1181 + 1168 + 3*v**2 - 2350 - 66*v).\nAnswer: 3*v**5 - 66*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 231. List the prime factors of h.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -4*n + 8, 0*n + 4*n - 2*a - 72 = -19*n - 13*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(130)\/(-1*sqrt(810)) + -1 + sqrt(13) + 0 + (4*sqrt(52))**2.\nAnswer: sqrt(13)\/3 + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -37*r**7\/210 - r**6\/5 + 335*r**5\/12 - 11*r**2 - 14. Find the third derivative of o(l) wrt l.\nAnswer: -888*l - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9658.3 + -10141. Round s to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15540776 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1002 - -5?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, 2.7, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0, -4, 621.6, 3\/7, -47, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230770.6ml to litres.\nAnswer: 230.7706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 3600 = 31*r. What is the remainder when r is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -124294, -248584, -372874, -497164, -621454?\n\"Answer: -124290*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1509595009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s + 9*s - 10440. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -170*q - 394. Let f be m(-24). Suppose -3*n + 574 = i, -5*i - n + f - 858 = 0. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3395776, 27166242, 91686088, 217330006, 424472688, 733488826, 1164753112, 1738640238?\nAnswer: 2475524896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 7*j - j + 10*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**4 + c**3 + 1. Let t(g) = -28*g**4 + 5*g**3 + 411*g + 3. Let y(n) = -3*r(n) + t(n). What is the second derivative of y(f) wrt f?\nAnswer: -300*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 t when four letters picked without replacement from {c: 1, d: 3, q: 1, p: 5, v: 4, t: 6}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10764 is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/132 + (-218)\/12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2. Let m(a) be the first derivative of a**2 - 1. Calculate f(m(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqq when three letters picked without replacement from {s: 2, q: 3, e: 6, u: 6, b: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 129\/10, -3.08, -10\/13, 4?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438184993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Suppose -f*v = 3*v - 15. Suppose v*c - c = 50. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v - 27 = -38*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/3 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65874 divided by -3?\nAnswer: 21958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (32 - (-13 + 56))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10022 (base 3) to base 13\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -30, 0.2, -3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.5489 * -0.038.\nAnswer: 1.3888582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 1 - 7 - 6 - 2*b**2 as a*b + d*b**2 + g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 824, 2341, 4872, 8411, 12952?\nAnswer: 18489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m + 12. Let a be ((-50)\/30)\/(1\/(-6)). Let x(n) = -n + 19. Let u be x(a). Is 31 a factor of k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -h + 2. Let n(m) = 5*m + 4. Let d(a) = 1. Let k be (48\/14)\/(66\/308). Suppose -6*v + 22 = k. Calculate h*d(i) + v*n(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 36*k**2 + k + 1. Let r be x(-1). Suppose -r = 2*u - 5*u. What is the smallest common multiple of 7 and 68\/u - 4\/6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 73 + 250*j + 69.\nAnswer: 250*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 33*j - 288. Let r(p) = 15*p - 143. Let k(s) = -6*f(s) + 13*r(s). Let b be k(-24). Are b and -64 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*r + 3*r - 1 = 0, -4*r = -3*f - 6. What is the lowest common multiple of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1905 divided by -1905\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345184 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68594?\nAnswer: 2, 34297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157817 - -157817.13. Let k(t) = -t**3 + 4*t**2 + 4*t. Let o be k(5). Which is the closest to -1\/5? (a) o (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 11*m**2. Let z be h(11). Suppose 5*u - 6*u - 12 = z. Let c be u\/(-8)*(-4)\/3. Put 1, c, 4 in decreasing order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4043202 millimeters?\nAnswer: 404320.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + -1 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 7:53 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 16. Let a be (-2 + 6)\/(-1) + -11. Let v be c(a). Let q = 0.04 - 3.04. What is the closest to v in 0.2, 2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5179650*h - 90 = -5179640*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = -3*f - 18, 2*f + 5*i + 18 = 0. Let l be f\/8*(-60)\/70. Factor l*y**2 + 6\/7 + 9\/7*y.\nAnswer: 3*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -175*y - 705. Let w be a(-4). Let h(f) be the first derivative of -1\/3*f**3 - 3*f**2 + 6*f + 2. Calculate h(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-5)*n)\/n)**(17\/4)\/(n\/n**(-2\/35)*n**(-1\/19)))**(-2\/7) assuming n is positive.\nAnswer: n**(59197\/9310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -14*h + 10*h + 36, h + 4*h = 41*u + 104 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*z + 50 + 50 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 8 + 1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*k**13)\/k*k)*k**(1\/3))**(-6\/25) assuming k is positive.\nAnswer: k**(82\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 19 = -15. Let a be ((-18)\/y - 4)*6. Solve -5*j + 2*n - n = 14, -4 = -4*j - a*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -32 - ((12 - 37 - -9) + -43)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 143 - 139 = -4*j, -15 = 15*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -8\/15*s**5 + 0*s**2 + 1\/27*s**6 + 0*s + 0*s**3 + 103 + 11\/18*s**4. Determine d so that k(d) = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 152 = 3*s, 13*m = 16*m + 3*s - 258. Let k(i) = i**3 - 4*i**2 - 8*i + 6. Calculate the remainder when m is divided by k(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5003 + -30101\/6. Let u = r - -14. Which is the third smallest value? (a) -3 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 9*o**2 + 6*o + 10. Let v be b(-4). Suppose 3*z - 5*g - 389 = -g, v*z + 2*g = 264. What is the remainder when z is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1544470 + -634470. Round o to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -340? (a) 1.4 (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 1\/2*b**3 + 0 + 7*b + 9\/2*b**2. Let k be (-3)\/9 + (-20)\/3. Let l(g) = g + 4. Determine k*l(h) + 3*i(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*c*m**2 + c + 153 with respect to m.\nAnswer: -30*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*sqrt(175) + -4)**2*-5.\nAnswer: -4000*sqrt(7) + 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*a - 483, g - 4*a = -3*g + 612. Suppose 5*n = y - 28, 5*y + 2*n - g - 65 = 0. Calculate the highest common divisor of y and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148426058 plus -1443?\nAnswer: -148427501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)**23*(t**0)**7)\/(t*t**0*((t\/(t*t\/(t**(-6)\/t)))\/t)\/t*(t*(t*t**(-2\/5))\/t*t)**25) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 191 + -203 + (-73)\/(-6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/6*(-16 - (-62)\/4). Factor 1\/2*q**2 - 3\/2*q + t.\nAnswer: q*(q - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408553?\nAnswer: 408553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 15) in base 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/394 or -1?\nAnswer: -3\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 6*n + 6. Let u(o) = o**2 + o - 1. Let d be u(2). Calculate m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + a - 1. Let m(g) = 7*g**3 + 4*g - 2. Determine 2*d(o) - m(o).\nAnswer: -5*o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1, 3*n - 5*p - 5 = 9. Let o(z) = -7*z**2 - 10*z + 8. Let w(y) = 3*y**2 + 5*y - 4. Let q(r) = -4*o(r) - 9*w(r). What is q(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m + 41*m - 8912. List the prime factors of m.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -931, -1697, -3217, -5743, -9527?\nAnswer: -14821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 8*v - 5*v + 13*v in the form u + w*v and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*y + 24. Suppose 5*q = 45 - y. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5322.\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3 = -f, -f - 4*g + 4 = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16384132, 32768272, 49152412, 65536552, 81920692?\nAnswer: 98304832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4926?\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 2*r + 2. Let u be m(-3). Let i = u + 8. Let v = -13 - i. Which is greater: v or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 - 6*v - 9. What is l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Let v = -115.4 - -115. What is the nearest to -1 in 5\/3, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12) - (-3)\/18 - (-23)\/2760*-25\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 - 4*q. Let t be j(-4). Let r be t\/52 + 4\/(-26). Suppose 3*p + 10 - 39 = -m, r*p = 6. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**3 - v**2 + 4*v**3 - 8*v**4 + 15*v**4 wrt v.\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 5 = g, -2*g - 5*r = -5. Solve 0 = -g*p - 2*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3493718 centuries to months.\nAnswer: 419.24616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.788 to two dps.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 16. Suppose 3*m - q = m. Does 16 divide m\/(-11) - 6205\/(-187)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r**2. Let p(t) = -74*t**2. What is p(g(v))?\nAnswer: -14504*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2349939.46 - -118.\nAnswer: 2350057.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1041\/7 + 146. Find the common denominator of 4\/2 + 87\/(-10) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1*(27\/(-9))\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 908746 - 2*p - 1947*p**2 - 908746 in the form k*p**2 + u*p + c and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 10. Let w be u(-3). Suppose -3*y = y - 8. Suppose 0 = -y*n - 4 + w, 7 = -4*z + 5*n. Sort -4, -1, z.\nAnswer: -4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261 or 243?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 9) + -19 + 1 + (2 - 7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -4035, 5.\nAnswer: -4035, 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3772 and 491.\nAnswer: -1852052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2541819 and 19.0391001?\nAnswer: 2541838.0391001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 442019 at most as big as 441994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:34 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 788143, 788178, 788217, 788260, 788307, 788358, 788413?\nAnswer: 788472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 + 2)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -36, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(600\/(-45))*960\/108*-6?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48071 - 157813 = 988*j + 1406*j for j.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/39630 and -7\/1632.\nAnswer: 10779360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6690 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3928\/13 + -302. Let q be (3 - -3 - 3)*47\/(-47). Which is the second smallest value? (a) l (b) q (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. What is the common denominator of 87\/20 and (-57)\/(-9)*w\/(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**3 - 2*n**2 + 7. Let d(o) = -6 - 1 + 1 + 2*o**2 + 1496*o**3 - 1503*o**3. What is 7*d(k) + 6*u(k)?\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3371, 3321, 3221, 3047, 2775, 2381, 1841, 1131?\n\"Answer: -4*h**3 - h**2 - 19*h + 3395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(70\/(-8))*-5. Suppose 3*m - 2*z = 122, -26 = -m - n*z + z. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 4*f + 636. Suppose 0*q + f = q. Find the third derivative of 160*v**4 - 4*v**2 - q*v**4 + 11*v**2 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y - 6 = 2*p, 0 = 2*p - 2*y + 10. Let d = p - -6. Let x(u) = d*u + u - 4*u + 0*u. Let l(m) = 6*m. Give x(l(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-8 + (7 - 3) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*b = -3388, -5*h - 2*b + 8474 = -b. List the prime factors of h.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/s**0*s)\/s*s*s)\/s*s)**4*(s**(-9\/2)\/s)\/s**(-2\/7))**(12\/7) assuming s is positive.\nAnswer: s**(906\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 324*p = 325*p + 233, -3*p - 109 = -q. Which is greater: q or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13*p = 66640. List the prime factors of p.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-52)\/8*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, t: 2, r: 1}. What is prob of sequence ht?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b7269 (base 13) to base 4.\nAnswer: -2223031110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2565.55 - -1785.9. What is g rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 187, 1113, 3533, 8191, 15831, 27197?\n\"Answer: 124*q**3 + 3*q**2 + 49*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 147*p**2 - 2*p + 1. Let g be m(1). Suppose -g = 5*r - 36. Let o = -4395 - -4372. Is r > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8671)\/(-184) - 1\/8. Let z = -39 + y. What is the units digit of (z\/(-12))\/((-2)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-15 + 17)) + 14 - (-4 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, v: 1, t: 1, z: 1, p: 1}. Give prob of picking 2 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 15. Suppose r*f + 9 - 42 = 0. Let h = f + -8. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00056*0.5\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5))**(2\/27)*u*u**(-1\/3)\/u*u**(1\/2)\/u*(u\/u**6)\/(u**(-3)\/u)*u**(3\/7)*u*u**(2\/15)\/u assuming u is positive.\nAnswer: u**(-475\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k, n - 1959 = -4*n + k. Suppose 0 = -178*b + 164*b + n. What is the highest common factor of b and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/9))**25*(j*j*j*j\/j**(-10)*j)\/j**10 assuming j is positive.\nAnswer: j**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2553, -4806, -6759, -8412, -9765, -10818?\n\"Answer: 150*m**2 - 2703*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = -21*d - 82537. Suppose 18*o - d = 5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18821964 and 0.2?\nAnswer: -3764392.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -77. Solve 0 = -b - d*p - 11, 0 = 5*b - 7*b - 3*p - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2\/7 (c) 6 (d) 2 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*37277344.\nAnswer: -11183203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 33*v**2 - 29*v + 160. Let a be m(-34). Sort a, -97, -5, 2, -4 in descending order.\nAnswer: 2, -4, -5, a, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5853 - 5850. Let b(x) be the second derivative of 0*x**g - 11*x + 0 - 1\/3*x**4 - 3\/2*x**2. Find the first derivative of b(m) wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 8:42 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -25a?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**8\/84 - 3*w**7\/70 - w**6\/60 + 2*w**5\/15 + w**4\/4 + w**3\/6 - 11*w**2. Suppose p(j) = 0. What is j?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -526455436*q**3 + 4*q**2 - 5219*q + 686.\nAnswer: -3158732616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s - 5. Let b(l) = -6 - 2*l**3 - 5*l**2 + 6 + l**3 - 3*l. Let o = -15 + 11. Let x be b(o). What is q(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 21*q - 68. Let i be m(-3). Solve -i*w + c + 8 = 0, -5*c - 1 + 5 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9518651 - 26463.006.\nAnswer: -9545114.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, 3, -1, -121 in decreasing order.\nAnswer: 3, -1, -5, -23, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.617749mm to meters.\nAnswer: 0.000617749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*((r*r**6*r)\/r)\/r*r)\/((r\/r**(-1))\/(r**(-2\/15)*r)))\/(r**(-1)*r*(((r\/r**(-4))\/r)\/r)\/r)**(-5\/8) assuming r is positive.\nAnswer: r**(547\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2. Suppose 47 = -15*r + 17. Let w(o) = o - 2. Let c(z) = r*w(z) + l(z). What is c(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15572?\nAnswer: 2, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1059 - 1057. Solve -9*v = -8*v + 4*k - 25, k = p*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 507, 1009, 1509, 2007, 2503, 2997?\n\"Answer: -k**2 + 505*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15403415 (base 6) to base 2\nAnswer: 10000101000101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - a**2 - 3*a**3 - 11*a**3 - 6 + 13*a**3 to r*a**2 + h*a**3 + y + d*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 11*t - 2. Suppose -5*u = 4*h - 82, -4*u + 33 = -h - 41. Calculate the lowest common multiple of u and x(9).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2097, 2112, 2127?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.394 + 0.044. Let c = o - -1.7. Let g = 0.05 + c. What is the smallest value in -6\/5, -2\/3, g?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8507166, 17014330, 25521494, 34028658, 42535822?\nAnswer: 51042986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130866011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3420594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let y(k) be the second derivative of 5*k + 0*k**3 - 2*k**2 + 1\/4*k**4 + 0. Let v(f) be the first derivative of y(f). Determine z(v(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 11. Let t be (-10)\/w*2*-2. Let s be (5\/3)\/((-1)\/3). Put s, t, 1 in descending order.\nAnswer: t, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2484 = -4*q - 20*q - 30*q for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33740 + -22815. Suppose 6*w + 1937 = k. Suppose 7*v - w = -189. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.64 - -18.09. Which is the closest to 2? (a) 2\/7 (b) 4\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445910 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: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -5*u + 3*l, -56*u + 0*l + 42 = -56*u + l + 43 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 76495 and 0.214.\nAnswer: 16369.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(4 - 2*h - 4)*(-2 + 1 - 2)*(-140*h**3 - 198*h**3 + 49*h**3)*(-4*h + 6*h - 4*h).\nAnswer: -3468*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 0 - (-12)\/(10\/((-2720)\/(-12)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 41.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - 3 - (-6 + -4)) + 49.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942*v**3 - 918*v**3 + 1386*v**3 + 509*v**3.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*k**3*o**2 - 8249*k**2*o**2 - 12*o**2 - 3291484*o + 2 with respect to k.\nAnswer: -402*k**2*o**2 - 16498*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 187409 = 3*v, -8*m - 249812 = -4*v - 5*m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-32)*(3 - (-2 - 17)). Solve -1 = p + o, -8*o = -q*o - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5447*m = -5448*m - 3*u - 11, -3*m = 11*u + 41 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0.5 (b) -2968 (c) -4 (d) 6 (e) -0.1121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - 4*(sqrt(5) - sqrt(15)\/sqrt(3))**2 - (-1 + -1*sqrt(5))**2.\nAnswer: -6 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = d + 4 - 0, -4*s + 2*d - 12 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = i - 12, -2*v - i - 8 = i. Find the common denominator of (v\/(-8))\/(2\/67) and -1*(-68)\/(-21)*(-34 + 3349\/102).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198.8523 + 2.1477. Is f >= 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 766877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2 + 5*g + 5. Let t be d(3). Suppose t*x = 4*x - 286. Calculate the greatest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 4*y + 1. Let d(m) = m**2 - m - 1. Give -2*d(a) - w(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/2)*k**(2\/15)*(k\/(k\/(k*k**(-5))*k))\/(k\/k**(-6)*k))**(-12) assuming k is positive.\nAnswer: k**(802\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29482 + 29405.915. Round o to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16909.14904 rounded to the nearest ten?\nAnswer: 16910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.3619 - -4.174. What is n rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + 4.96. Put 0.3, w, 2 in increasing order.\nAnswer: 0.3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 6. Let t(n) = -2*n - 8. Let d(j) = 4*a(j) + 3*t(j). Let r(p) = 191*p - 2. What is d(r(h))?\nAnswer: 382*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*o + 35*n - 37*n, 5*o = 4*n + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 23*b**2\/5 - 43*b\/5 - 21\/5.\nAnswer: -(b + 1)**2*(b + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -25*w - 82. Let y be 3\/w - (-2 - 6\/(-12)). Sort -6\/13, y, -4 in decreasing order.\nAnswer: y, -6\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15 and (-4956)\/1386 + (2\/3)\/(-2).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d**3 - 45*d**3 + 0 + 0.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 491135\/46 - 10676. Calculate the common denominator of 426\/40*74\/111 and b.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*l - 15 = 0, -7*l + 13 = -3*r - 2*l. Let t(n) be the first derivative of -n**4\/2 + 2*n**3\/3 + n**2 + n + 5. List the prime factors of t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z. Let l = z + 5. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9994, 9874, 9752, 9628, 9502, 9374?\n\"Answer: -n**2 - 117*n + 10112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (351\/(-390))\/((-5)\/(40\/(-6)))*10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 477111250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1060\/9 + 118. Let y = 0.3 - -0.2. Let g be 0 + -1 - 6\/(-5). What is the second biggest value in p, y, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.566 + 29609927196.\nAnswer: 29609927194.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18720 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2)\/((-11)\/22). Suppose 5*s = v*s + 4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128335 is divided by 921.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-28) + -4)\/((-17292)\/3668).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21466, -42982, -64496, -86008, -107518, -129026?\n\"Answer: u**2 - 21519*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66026663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 134. Suppose 310 = 4*j + 10. Let w = -51 + j. Calculate the highest common factor of w and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 - 1 = -i, -4*x = -2*i + 10. Let z(k) = 191*k**3 + 2*k**2 - 4*k + 3. What is the tens digit of z(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 20864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 23*g**2 - 4*g - 6 + 4*g + 5. Let d = -376 - -377. Give i(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 1\/2, 1.39, 113810?\nAnswer: 113810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5030a (base 12) to base 4\nAnswer: -121122322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, p: 3, j: 1}. What is prob of picking 2 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1594 + -1594. Let d be (-20)\/(-12)*(36 - 0). Suppose 8*f - d = 3*f. Solve c = -5*s + s + f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/16*(-4)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22219 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 9*z, 3*z = f + 81 - 49 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*61\/(-17568)*-48.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1277, 5, 15\/2, 0.04, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 51472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from rrrsrrrrs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*m + 294 = -583*m - 563*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209370 and 420?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3214504234 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = 3*o + 78 + 75 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9193.7 - -9194. Which is the second smallest value? (a) i (b) 5 (c) 16 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5793*l**2 - 11633*l?\nAnswer: 11586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3934, 3937, 3940, 3943, 3946, 3949?\nAnswer: 3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d. Let j(i) = 4*i. Let o(x) = 4*j(x) + 5*p(x). Let c(w) = -3*w**2 - 7*w. Suppose 0 = -5*z + 2*z - 3. Determine z*c(r) - 6*o(r).\nAnswer: 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175380 - -175366.0077. Let h = c - -14. What is h rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 12*s + 4. Let r be h(13). Suppose r*d - 56 - 12 = 0. Suppose -2*f + 86 = 4*w, 22 = d*w - 3*f - 49. Solve l + w = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136088431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*m**2 + 121*m**2 - 75*m**2 + 9 + 25*m**2 - 9 + (-3*m - m + 2*m)*(3*m + 2*m - 6*m) as v*m + u*m**2 + k and give u.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f + 2. Let t be n(-5). Let j = 404 + -398. Suppose j*m - 97 - t = 0. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4\/5 + 12*t**3\/5 - 3*t**2 = 0 for t.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {l: 1, g: 2, t: 3, w: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280361.\nAnswer: 19, 257, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 20 = -8. Sort t, 3, 1.\nAnswer: 1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 6. Let o(a) = -4*a**2 - 7. Let q(y) = -y**3 - 22*y**2 - 2*y - 37. Let i be q(-22). What is i*x(z) - 6*o(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {h: 1, c: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1648 + 146. Calculate the greatest common factor of 156 and j.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 28 - 1 = 0. What is the lowest common multiple of r and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 4*g**2 + 5*g - 4. Give k(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, 1\/5, -0.2, -47, 415?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 14*z - 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rij when three letters picked without replacement from rrjirojidiijrorr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -765?\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7075794 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2826876*i*z**2 + i*z - i + z - 11820 wrt z?\nAnswer: -5653752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*-16776.9\nAnswer: -50330.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**30\/(k*(k\/(k**(2\/5)*k*k))\/k)**(-35) assuming k is positive.\nAnswer: k**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)\/(1\/(-7)). Let g = b + -3. Solve 3 = y + w, -4*w + 11 = g*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**34*d**(-4)\/d**(-1)*d*d\/(d**(2\/3)*d)*d**4*(d\/(d\/(d\/d**(-1)*d))*d)**19 assuming d is positive.\nAnswer: d**(1364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 525\/42*28\/10. Suppose 0 = -5*x - 5*b + z, 3*b - 23 = -2*x - 2*b. Suppose -g = g + 4*f - 16, 3*g - 14 = x*f. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 15) to base 4.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7*h = -48. Let p(i) = -i**2 - 8*i - 1. Let t be p(h). Let x be 4 + 3*(-5)\/t. What is the second smallest value in 19, x, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-11 + 6 - -4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 48500, 0.01?\nAnswer: 48500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 2*v**2 - 3*v - 3. Let p be o(-1). Let l be 798\/(-189) + (2 - (p + -1)). Which is smaller: -11 or l?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 35.4139?\nAnswer: -35.5139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 57\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 19*z**2 + 17*z - 10. Let x be j(-18). Let c(k) = -k**2 + 4*k + 7. Give c(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -35, 162\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + sqrt(1872))*6*4 - (3 + 1 + sqrt(1872) - (-5 + -1 + sqrt(1872) - sqrt(1872)))*-5)**2.\nAnswer: 54288*sqrt(13) + 1580436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71289.4 millilitres in litres?\nAnswer: 71.2894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 2 - (-48 - -57)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 18. Suppose 2*c - 136 = 68. What is the remainder when c is divided by (-24)\/36 - (-160)\/v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72269.01 to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-140)\/75 + (-2)\/(-3))\/((-24)\/40). Let t(x) be the second derivative of -x**5\/10 - 2*x**3\/3 + 3*x**2\/2 - 15*x. What is t(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3104\/11 - 18\/99. Suppose 2*m = 4*m + y - a, 5*y = 5*m - 675. Let t = m + -60. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*g + 1866, -2*g - 1889 = -5*k + 440. Is 467 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4598 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11.53 or 88\/5?\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 2, 1711?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2168*k + 45*k + 22690*k + 14950*k - 1020*k.\nAnswer: 34497*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*m + 17, -m + 4 = 10*h - 6*h. Let r(q) = 62*q**2 - 35*q + 9. Is r(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.057 - -31.057. Let f = 30.9 - p. Are 9 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47830 and 3330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -87646 (base 9) in base 4?\nAnswer: -32030013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 + 2*m**4 - 11*m**4 - 1)*(-3 + 0 + 2).\nAnswer: 5*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mff when three letters picked without replacement from mmmfff?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869 (base 13) to base 2.\nAnswer: 10110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 - (-1 + 114\/42). Let a(c) = c**3 + c**2 - 1. Let r(d) = -3*d**3 + 7*d**2 - d + 4. Let x(w) = b*a(w) - r(w). Calculate x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/((-2)\/4). Let x = 223 + -217. Suppose 7*t + x*t = 0. Put 3, h, t, -3 in descending order.\nAnswer: h, 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 17*v - 21. Let z be l(17). Let c = 92 + z. What are the prime factors of c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -393.314 - -0.314. Let k = s - -392.9789. What is k rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0483 * 3.\nAnswer: 0.1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsvnf. Give prob of sequence nffv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(3\/3)*-5. Suppose -3*t + 2 = v + 7, -v + x*t + 19 = 0. Suppose 3*o - 8 = k, 4*o + 2*k + 0*k - 4 = 0. Solve -v*r = -0*r, 5*y = -o*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxvk when four letters picked without replacement from {k: 2, x: 1, j: 1, v: 2, d: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-17 + 7)) + (1 - 11) + (-32 - -16).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 17. Suppose 0 = -2*a + q + 12, 19 = 3*a - q. Suppose a*y = 3*y + k. Let s(v) = -v**2 + 4*v. What is s(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141981389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.04374 to 2 decimal places.\nAnswer: -11.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1770 = 13*h - 10*h. Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13919 + -13923. Which is the biggest value? (a) -1\/4 (b) -22 (c) -0.1 (d) r (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*y**4 + y**2 - 10*y - 3?\nAnswer: 432*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21500310 divided by -5.\nAnswer: -4300062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((8 - 18) + -1 + -12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28804686259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/12 (b) 0.13 (c) 0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/14 + 6\/21. Let f = 3 + r. Let g = f + 10. What is the lowest common multiple of g and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66168163261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 1339, -2\/13?\nAnswer: 1339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101011 + 1011?\nAnswer: -1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 382\/(-228) - 132\/(-396). Which is the smallest value? (a) g (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**2\/2 - 11*c + 16. Let s be m(7). Put -5, -1, s in decreasing order.\nAnswer: -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 51*p = -47*p + 15591, 8*t - 2*p = 41550. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**2*s*y - 11*f**2*s + 34*f**2*y + 99*f**2 + f*s - 9*f*y + f - 23*s*y - 6*s + 53*y wrt f.\nAnswer: 18*s*y - 22*s + 68*y + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 113*i**2 + 120*i. Let v(b) = -452*b**2 - 480*b. Let z(l) = -9*k(l) - 2*v(l). Find the second derivative of z(t) wrt t.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89573 and 46463.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (0 + -6) - -1) + 9 - -28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-36)\/(-4)))\/(-1)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 13*r - 27. Give i(13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -2*(29 + -16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x**4 - 8097*x**3 + 229776*x**2 - 18228*x - 203424 = 0. What is x?\nAnswer: -326, -8\/9, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 - 9 = -5*l, 4*l = -3*p - 16. Let q = 1639 + -1635. Sort p, q, -2, 3 in increasing order.\nAnswer: p, -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 5 - 2*x**2 - 4*x + 1\/3*x**3. Calculate j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 215488 and 18778240?\nAnswer: 131447680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61809 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 5, -0.21, 8?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (-96 - 17) - 125.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 + -4 - (129 - 154)) - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 101*c - 83*c - 66 + 20 + 7*c**2 - c**3. Let l be j(8). Let z be (-1)\/2*2*-17. Calculate the greatest common divisor of l and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-56))\/(1\/7). Suppose -4*c - 5*i = -339, 201 - 45 = 2*c - j*i. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noonnnnnnnon. Give prob of picking 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/9 + (-1)\/3. Suppose -2*d = -t + 10. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*p = -8 + 21, -4*y + 3*p + 6 = 0. Suppose -y*w + 40 = 2*w. Calculate the least common multiple of w and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:42 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/5)\/t**(-2\/17)*t**(-8)\/(t*t**(-2\/39)) assuming t is positive.\nAnswer: t**(-26623\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4)\/(-172 + 170)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 4, -39.\nAnswer: -39, 4, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6622558 and 2416.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:35 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -324 - 4?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 399*h - 11*h**2 - 364*h - 7 + h**3 - 18 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(68)*1 + -5)*-1)**2.\nAnswer: -720*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323\/4 - 80. Let w(p) be the first derivative of -2 - 3\/4*p**2 - 1\/4*p**3 - j*p. Find y, given that w(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1584) + ((sqrt(1584) - sqrt(1584)*4) + 2 - sqrt(1584))))**2*6.\nAnswer: -3456*sqrt(11) + 342240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)\/(-9 + 10). Suppose o + l*o - 6 = 0. Let g be (o\/1)\/(6\/2). Calculate the greatest common factor of g and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-147)\/(-28))\/((-9)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 - 649*y**2 + 172*y - 434. Give c(162).\nAnswer: 1186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 26*l - 101. Let d be v(19). Calculate the greatest common factor of d and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = 3*n. Let y be -2 - 2 - (-20)\/10*1. Put y, n, 5 in increasing order.\nAnswer: n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/100 and -103\/70?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19342 is divided by 248.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -29*n**3 + 4*n**2 - 16*n - 127. What is the tens digit of d(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0685 and 16962840.21.\nAnswer: 16962840.1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - d)*(d**3 - 3*d**3 + 3*d**3 + (-3*d**2 + d**2 + 3*d**2)*(-12 + 12 + 9*d + (-1 + 1 - 2)*(-7*d - 7*d + 4*d))).\nAnswer: -30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64397 - 64408.3813. Let u = k - -11.33. Let d = u + 0.05. What is d rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7))**40 assuming m is positive.\nAnswer: m**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 932*f + 922. Calculate t(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0*l + 1 + 2*l - 4*l. Let b be ((-6)\/(-9))\/((-6)\/(-9)). Let i be -5*b\/1 - -3. Calculate g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 <= -329\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.64 - -0.6. Let t = v + 0.03945. Round t to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 291, 294, 297?\n\"Answer: 3*g + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:22 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59068589 is divided by 568?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 - 11*c**3 - 239*c + 2 wrt c?\nAnswer: -40*c**3 - 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1)\/(-4) - 2. Let x = -2 - g. Suppose 2*z - 42 = o, x = -5*z + 5*o + 96 - 1. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014487904178 rounded to 6 decimal places?\nAnswer: 0.001449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/4 - 5*t**3\/2 - 277*t**2\/4 - 253*t\/2 = 0.\nAnswer: -11, -2, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-4))\/((-84)\/(-16)). Let s = 5.06 + -0.06. What is the biggest value in -0.2, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 4. Let p(j) = 25*j - 110. Let s(y) = -55*o(y) + 2*p(y). Let u(z) = -8*z + 3. Calculate u(s(n)).\nAnswer: 40*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 53351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 25, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(144)\/(sqrt(72)\/sqrt(6)))*1)\/(sqrt(96)*-3*2).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 133?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-2619)\/194 + 8)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/(-850) - (-194)\/(-646).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42595000 rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 262528 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = -8*j + 16*j. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008514 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 21. Let c(x) = -10. Determine -5*c(z) - 2*s(z).\nAnswer: 2*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 55. Let t(u) be the third derivative of -3*u**2 - 1\/24*u**m + 1\/15*u**5 - 1\/105*u**7 + 0*u + 0 - 1\/336*u**8 - 1\/3*u**3 + 1\/60*u**6. Solve t(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z + 20 = 0. Suppose z*b + 0*b = 30. Let j = -21 - -32. Calculate the remainder when j is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -33*g**2 - 18*g - 6. Let q(d) = 32*d**2 + 14*d + 4. Give -3*q(l) - 2*s(l).\nAnswer: -30*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31433 - -45455. Does 41 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17373*n - 39457.\nAnswer: 17373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.175833 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14*105\/225?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-3 - (-21 + 13))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 7*j**4 + j**4 + 6*j**4 - j**4 - 2*j**4 + (-9 - j + 9)*(-j**3 + j**3 + j**3) as u*j**4 + w*j**2 + b + m*j + s*j**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x + 64*x - 76 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h + 9. Let v(s) = 9*s + 17. Let b(n) = -7*i(n) + 4*v(n). Let r(z) = 35 - 65 + 28. What is -2*b(w) - 6*r(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 - l**2 + 3314*l**3 + 3316*l**3 - 7*l - 13 - 6629*l**3 as b*l + c*l**4 + z*l**3 + h + w*l**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -5, -3\/2, 1442, 16\/13, -4 in decreasing order.\nAnswer: 1442, 16\/13, 2\/3, -3\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10200210?\nAnswer: -10200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**18)\/y**(-2\/13)*(y\/(y\/(y*y**11)*y))\/((y\/y**(2\/13))\/y) assuming y is positive.\nAnswer: y**(-74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3127 + 182. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90314.9 times 145\nAnswer: 13095660.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - -1 - (14 - 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402 and 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 291273971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2988\/17 + 14991\/85. Put 0.2, -5, 0.03, h in descending order.\nAnswer: h, 0.2, 0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = -58*t - 271 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 7 + (-1 - -2). Suppose h = 5*s - y - 15, -3*y = -3*s - 2*y + 11. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1 - 13\/1)*(-28716)\/50253.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 16)*21\/(-6). Let k = 281 - v. Is k\/44 + 2\/11 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21*u + 6. Let m(p) = -21*p + 5. Let g(l) = 5*d(l) - 6*m(l). Let o(t) = -3*t**2. Calculate g(o(a)).\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(396) + -1 + sqrt(396))*-2)**2 - ((sqrt(99)*2 - sqrt(99))*-4)\/(sqrt(90)\/(sqrt(10)*1)).\nAnswer: -6140*sqrt(11) + 405760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*n = 3*k - 30, 5*k + 3*n = 34. Suppose 0 = k*g - 2*g. Solve g = -5*x + 2*b - 2 - 28, 4*b = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5061 is divided by 5060.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:39 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 12. Let b = 35 + -31. Solve y*a + 24 = 4*s, b*s = -5*a + 26 - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.5 + 0.5. Let r(s) = -s**2 - 4*s. Let b be r(-3). Suppose -f + 5 = b. Put w, f, -4 in decreasing order.\nAnswer: f, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 69 = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - 2*i - 3*i**3 - 2*i**3 + 1 - 2*i**2. Let u(n) = -2*n**2 + 23*n - 10. Let q be (-54)\/(-5) + 30\/150. Let t be u(q). Calculate j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 32, 69, 128, 215, 336?\n\"Answer: i**3 + 2*i**2 + 8*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 52*k - 1173. Let z be d(-69). Let o(f) = 2*f**2 + 4*f - 3. Let u(n) = 3*n**2 + 5*n - 4. Let a(p) = -4*o(p) + 3*u(p). Determine a(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1739 - -439.8261. Let a = c + -439. Let k = -0.13 - -5.13. Put -4, k, a in ascending order.\nAnswer: -4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/4 - 15*h**2\/2 - 33*h\/4 + 31\/2 = 0.\nAnswer: -2, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -7*s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 7. Let v be l(-14). Let b be (10\/35)\/(2\/v). Solve -i = -4 + b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:35 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/3 + 43\/6. Let l(p) = p**3 + 2*p**2 - 1. Let a = -12 - -14. Let i be l(a). Are v and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d + 17. Let o be v(0). Suppose 5*b = -m - 3*m + 11, 0 = -4*b + 5*m + o. Solve 6 = b*a + u, 0*u + 9 = 3*a + 2*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 - 9*a + 4. Let y be x(-4). Let m = -18 + y. Let g(r) = -55*r**2 + 15*r - 30. Let o be g(m). Round o to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 14, -1, 13, -52 in increasing order.\nAnswer: -52, -1, 10, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.0174 millilitres in litres?\nAnswer: 0.6940174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - -2.93. What is the smallest value in 0, l, 1\/4, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let v(b) = b**3 + 4*b**2 - 2*b - 2. Let n be v(-4). Let s be ((-48)\/(-40))\/((-4)\/(-10)). Let h(l) = -5*l + 7*l + n*l - s*l. What is h(o(t))?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 + -7. Let u = 1.542 + j. Round u to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143922 and 12201?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 1406765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/45)\/((2\/10)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120245622 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: Two letters picked without replacement from kppppkkkppppppkpppp. What is prob of picking 2 k?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = -4*j, -4*j + f = -j + 9. What is the least common multiple of 26 and (-19 - -1)\/(6\/j)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100511024?\nAnswer: 2, 367, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -21\/13, 7\/4 in descending order.\nAnswer: 7\/4, -2\/3, -21\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y + 12483 = 82*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/6 + 19*w**2 - 896*w\/3 = 0. What is w?\nAnswer: -128, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*s + 16492, -7*u = -12*u - 5*s + 27475. What are the prime factors of u?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + t - 2 = -3*t, 0 = g + 3*t - 26. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 12) to base 4.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 19 + 2*y + y**3 - y**2 + 11*y**4 as l*y**3 + z + d*y**4 + j*y + k*y**2 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.488 + 0.542. Let g = n - 0.03. Let j = 0.5 - 1. Sort g, -0.3, j in decreasing order.\nAnswer: g, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.40999921 - 0.41. What is u rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzpzuubpzupzzbz. What is prob of sequence pbpu?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.300887 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvp. Give prob of sequence ppp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 3*d**5\/5 + 2*d**3\/3 - 5*d**2\/2 + 5*d + 3. Let j(k) = -2*k**4 - 2*k**2 + 4*k - 4. Let c(a) = 5*j(a) + 4*n(a). Solve c(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -336*z**2. Let a(l) = 6*l. Calculate a(y(v)).\nAnswer: -2016*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*r**3\/4 + 249*r**2\/8 - 63*r\/2 + 1\/2.\nAnswer: -(r - 2)**2*(62*r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -580 + 106?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363028357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 29. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -86, 4, -4.\nAnswer: -86, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -390, -989, -1588, -2187, -2786?\n\"Answer: -599*z + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6402942521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1118, 1138, 1160, 1184, 1210, 1238, 1268?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8376.882 months to millennia.\nAnswer: 0.6980735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17678 - 18426. Is w >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*k = 413*k - 825 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:21 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*r + 4*i + 189, -3*i = -3*r - 18. Let k(o) = o**2 + 21*o + 102. Give k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 - 87. Calculate the lowest common multiple of 7\/(-294)*-438 + (-16)\/(-28) - -1 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -0*t + 3*t. Solve -x - 2 = x + f, 3*x - 3*f + 3 = t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.75. Let n = 32405.85193 + -32405. Let l = s + n. Round l to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 16. Let f(h) = -9*h**2 - 2*h + 8. Let i = 8 + -6. Let b(g) = 2*g + 0*g**2 + 8*g**2 - i - 5. What is j*b(d) + 6*f(d)?\nAnswer: 2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19151161.\nAnswer: 367, 52183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 117) + (191 - 147).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 553947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-12)\/(-5 + 1). Let l = 18 - x. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*p**6 - 781009*p**5*s + 14*p**2*s + 3*s - 436226 wrt p?\nAnswer: -14040*p**3 - 46860540*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.5 + 21.648. Let k = 65.312 + n. What is k rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a555 - 3761?\nAnswer: 69b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -29. Let c = 30 - f. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 21 - 25 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*v**5 + 3*i*v**3 + 4*i*v - 76*i - 164*v**3 - 275*v wrt v.\nAnswer: -40*i*v**3 + 18*i*v - 984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -755, -752, -759, -782, -827, -900, -1007?\n\"Answer: -n**3 + n**2 + 7*n - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 931015 to the power of 1\/2, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*k + 438371 = -278661. List the prime factors of k.\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493190827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2339720, -2339723, -2339724, -2339723?\nAnswer: -2339720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14.12. Let p = v + 2.12. What is the biggest value in -0.1, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/326538 and 37\/3809610?\nAnswer: 11428830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimjjmm. What is prob of sequence mj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -26*b**2 - 3*b + 14*b**2 + 4 + 11*b**2. Calculate d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -102 (c) -7220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((424\/160)\/(-53))\/((-1)\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (248\/16 - -9)\/((-4)\/16). Suppose 2*p - 603 = -155. Let u = p + b. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/3)\/((-6)\/18). Suppose -c = -3*t - 2*t. Calculate the least common multiple of 7 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*o**2*p**4 - 13*o**2*p**3 + 1681*o**2*p wrt p.\nAnswer: -672*o**2*p**2 - 78*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*l**2 + 164 - 163 - 7*l**2)*(5*l**2 - 3*l**2 - 3*l**2).\nAnswer: -28*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = 4*s - 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**4\/4 - 7*u**3\/6 - 220*u**2. Let d(l) = 7*l + 6. Determine 5*d(q) + 6*m(q).\nAnswer: -q - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8 + 3*v + 5*v**2 - 11*v - 2*v**3 + 3*v**3 + 0*v**2. Let c be f(-6). Suppose -3*q + 0*q = -b - 1, -c*q - 12 = -4*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -9825119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*m = 2*i - 228, 0 = 2*i - 2*m - 162. Suppose -2*s - s = -i. Suppose x = -4*x + 45. Calculate the remainder when s is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143912 is divided by 63?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 28*q - 2036. Let u be i(0). Let b = -1428 - u. Is 38 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, l: 1, t: 1, u: 1, x: 2}. What is prob of sequence fex?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12094 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*-1*(-12)\/(-88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -33, -45, -39, -9?\n\"Answer: s**3 - 31*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - (-1 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10 + (-21)\/(-15). Put 5, i, -5, 0.4 in decreasing order.\nAnswer: 5, i, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86.72 + -1346.54. Let a = f + 1272. What is a rounded to one dp?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 5*j - 2*j + (-1 + 5 - 3)*(2*j + 0 + 0) + 3*j - 4*j + 3*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 32776?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/4596071 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s**3 + 11\/4*s**4 + 0*s**2 - 16 + 9*s. What is the derivative of h(l) wrt l?\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 171*x**4 - 792*x**3 + 84504*x**2 + 1093680*x + 3704400 = 0 for x.\nAnswer: -10, -7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1166\/7 (b) 142 (c) 28 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 75.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/50)\/((-12)\/(-240)*-8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -9 + -1 + 1. Let u = 20 + r. What is the remainder when 20 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.13 - -3.23. Let d be 0 + 3 + (6 - (-396)\/(-45)). Which is the closest to d? (a) 6 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -33. Let u(r) be the third derivative of -1\/40*r**6 + 7*r**2 + 0*r + m - 3\/8*r**4 - 1\/5*r**5 + 0*r**3. Suppose u(z) = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15157 to the nearest one hundred.\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 + 9?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*n, -g - 5*n = -6*g - 10. Suppose -g = -2*a, -4*a = -2*h - h + 2255. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/29066 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*p + 112 = 0, 5*p - 2*p - 48 = -2*z. What is the least common multiple of 6 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.044254*2.\nAnswer: 0.088508","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/4)\/(-51)*(0 + 56)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16*3)\/3 - -2. Let d be (o\/10)\/((-6)\/(-10)). Let w be (-32)\/(-12)*d\/2. Solve -4*u + 6 = 2*r, w*r = u + 11 + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11889650.\nAnswer: 2, 5, 401, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1671463259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132.0649 - 0.0649. What is the smallest value in -1, n, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 1657720680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = i. Let n(d) = -i*d + 0*d + d - 3*d. Let b(g) = g. Calculate b(n(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:30 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*d + 3*m, -2*m = 4*d - 18 + 4. Calculate the remainder when (20 + 19 - 4)*1 is divided by d\/(-5) + 182\/10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:31 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10204671 (base 8) to base 5.\nAnswer: 1023241202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-92)\/44 - -4. Let i = -1.2 - 2.8. Which is the second smallest value? (a) i (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22849 - 22817. Solve -t = -758*j + 762*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3044699?\nAnswer: 7, 434957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17174 and -1634281.\nAnswer: -1617107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*5\/25 + 327. Calculate the highest common factor of c and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 11*h**2 + 12*h - 17. Let d be s(10). Suppose r = t - 5*t + 298, d*r - 886 = -4*t. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10651 + 2448?\nAnswer: -7202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4 - 0)*-6. Let q be 2*((-20)\/(-8))\/(-5). List the prime factors of ((-6)\/r - q)*-10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 24 = 5*y. Let n(g) = g**2 - 5*g - 1. Let v be n(6). Suppose -2*b = 6, -2*q - v*b = -0 + 11. What is the greatest common divisor of y and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/((2\/(-295))\/(-2)). Round p to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4303 is divided by 1315.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)*p)**(-8)*((p\/p**(-18))\/p)\/p**(4\/11) assuming p is positive.\nAnswer: p**(362\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - -1)*(-6)\/5. Let w be -4*(-3)\/(c\/(-1)). Suppose -w - 6 = -2*b. Solve b*v + 5 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let l(r) = 1075*r - 17. What is f(l(a))?\nAnswer: -1155625*a**2 + 36550*a - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 8696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 21 - 141*l - 263*l + 10 in the form p*l + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-6) - 989\/69 and 43\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383892?\nAnswer: 2, 3, 31991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, c: 2, n: 4}. Give prob of sequence pp.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d9 - -5?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - 13 - (-7 + -1). Suppose 4*c = i*g + 212, 3*g + 0*c + 2*c = -114. Let d = -17 - g. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 6)*(0 + 2*z**3 + 0) + (1 + z**2 - 1)*(-7 + 1 + 2 + z) to the form p + w*z + u*z**3 + h*z**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u**2 + 9*u - 26. Determine w(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14))**29*(h**(-38)\/h*h)\/h**32 assuming h is positive.\nAnswer: h**(-476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from zhwzzhqzzzhzqhzzhh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = 3*d - 2*d, -9 = n - 3*d. Suppose 17*j - 100 = 12*j. Solve 4*k + 0*k + j = n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32850162?\nAnswer: 2, 3, 397, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8245763 is divided by 304.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -4*f, -4*k - 3*f = -6*f - 50. Solve 6*n = 7*n - 2*u - k, 4*u = -12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1.3, 0.1, -4824.6 in decreasing order.\nAnswer: 15, 1.3, 0.1, -4824.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 6220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14081930.73 milliseconds in weeks?\nAnswer: 0.023283615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -29 - (-3 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + 41. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -261, -519, -761, -987, -1197, -1391?\n\"Answer: 8*p**2 - 282*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -717191b?\nAnswer: 7171915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/28 - (-7)\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-3*2\/(-3). Suppose -3 = -4*z + 9. Put z, -2, l in ascending order.\nAnswer: -2, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/2*128\/96. Is 4 a factor of 24 - (g - -2 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4089 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12343 + -12343. Suppose -3*a = -7*a + 8. Suppose 2 - 6 = -4*h - a*j, -4*h = -j - 16. Solve -t = -m*t + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116027528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336 times -12707?\nAnswer: 16976552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 396*p**2 + 10*p - 1969. Calculate h(198).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (27\/2)\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -289\/7. What is the second biggest value in k, -2, -0.003?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8502 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 4, 1\/2, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.128 and 12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 4*u, 84*u - 1 = -4*c + 89*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234 - -4?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1304 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/2 - (4 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(20) - sqrt(100)\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 56370099 to the nearest 1000000.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12)\/((4\/3)\/4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 1.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from xsvllvblvvussvvs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:03 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 4\/15 (c) -83 (d) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676359 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1.2, -2\/235, 0.14?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 4*c + 4. Let k be a(4). Let v = -9 - -7. Let z = v + k. Calculate the remainder when 2 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -284, -108, 50, 184, 288, 356?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*h + 4*h = 26, 4*h + 44 = 4*o. Suppose 1296 = 5*v + 3*c, 3061*v = 3066*v - 2*c - 1261. Calculate the remainder when v is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 97.10071 years?\nAnswer: 0.09710071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -1) + (-2 + -1)\/1. Let c(k) = 2 + 9*k**2 + 0*k - 4*k + k. Is 8 a factor of c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-5) - 22\/(-10). Suppose -2*i + 2*z + 18 = 0, -i + n*z + 30 = 4*i. Suppose 0 = -i*r + 5*r - 5. Solve -2*g - 12 = -2*f + r*f, -4*f - 16 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13385 - -13126.44. Round y to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111 - -10110?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 6*j - j)*(-2*j + 6*j - 2*j)*(-7*j + 13*j - 9*j)*(-j + 5*j - 3*j + (-3 + 3 - 1)*(2*j + 1 - 1) - 2*j - 14*j - 5*j)*(2 - j - 2).\nAnswer: 528*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 5 - 5)*((-3 + 1 + 0)*(1 - 9*k - 1) + k - 1 + 1) + (2*k**2 + 1 - 1)*(0*k + 0*k + k**3).\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:14 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(17) + 1*sqrt(2448))**2 - sqrt(17))*4 + -3.\nAnswer: -4*sqrt(17) + 11494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + 2. Let l be 9 - -1 - 12\/6. Suppose -l*f + 36 = f. Put f, 6, p in ascending order.\nAnswer: p, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/18)\/((-4)\/6). Suppose 0*f = p*f - 14. Factor m**2 - 3 - 4 + 2*m**3 - m + f.\nAnswer: m*(m + 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 366755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 9:59 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 732 - 731.9992. What is a rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.0505 (b) 2\/3 (c) -0.2 (d) 2\/15 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/12 - 142\/(-12). Let l = j + -12. What is the second smallest value in l, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11479, -11478, -11477, -11476, -11475, -11474?\nAnswer: -11473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = -3*o + 5*o, -5*o = -10. Factor -1\/6*b**d - 5\/6*b + 2\/3*b**2 + 1\/3.\nAnswer: -(b - 2)*(b - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -72.99999923. Round w to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c**3*i**2*k**2 - 75473*c**3*i*k**3 + 3*c**3 + 187*c*i**2*k**2 - 5*c*k**2 - 6*i**2*k**3 wrt k.\nAnswer: -452838*c**3*i - 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -14*d + 225. Let n(y) = -14*y. Let q(f) = 3*f. Let m(z) = d*q(z) + 2*n(z). Let l(g) = 51*g. What is l(m(r))?\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*h = 127, -h - 194 = -3*u - 2*h. Suppose u + 25 = 5*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1156244604 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(sqrt(128) + sqrt(128) + sqrt(128) + -2))**2.\nAnswer: -2112*sqrt(2) + 18553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13500680 to the power of 1\/2, to the nearest integer?\nAnswer: 3674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/24309*1387)\/(1*1\/(-3))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3740013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/45 - (((-1176)\/(-360))\/49 + (-2)\/(-13))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:27 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113732.7 seconds to milliseconds.\nAnswer: 113732700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200215781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484 (base 9) to base 8.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 0, -11, -61, 3, -20, -3 in descending order.\nAnswer: 3, 0, -3, -11, -20, -44, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 19\/2701 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from {b: 6, r: 5, x: 4, p: 4}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 485923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.197 + -0.752. Let q = c + -2.4. What is q rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 12:19 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7333171089?\nAnswer: 3, 2609, 936907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157634317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*l - 161 - 189 + 325, -4*l = 3*f - 75 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/12 + 7*y**3\/6 - y**2 + 32*y. Let m be x(-7). Round m to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -1\/29, -3, 349, 0?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 525*f + 9. Let i be x(9). Suppose 21*z + i = 15843. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113368, 113510, 113650, 113788, 113924?\n\"Answer: -u**2 + 145*u + 113224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 38. Let o = -2 - -1.5. What is the second biggest value in -0.2, m, o, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 680\/11. Let c = 3.92 + 0.08. What is the smallest value in 1, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12995 + -2328. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 28*y**2 - 1 + 27*y**2)*(4*y + 0*y - 2*y) to o*y + i*y**3 + m*y**2 + t and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7401173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/31, -2, -4 in ascending order.\nAnswer: -4, -2, 1\/31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 21. Calculate q(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -42*f**3 - 1932*f**2 - 60*f - 2751. What is x(-46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*i + 25 = 0, 3*c + 0*i - i - 15 = 0. Suppose 3*w - 355 = -c*h, -3*h + 120 = -3*w - 117. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2215066 + -4496583891\/2030. Calculate the common denominator of -37\/1015 and w.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 3*c**3 - 3*c**3)*((-2 + 0 + 3)*(c**2 - 7*c**2 + c**2) + 2*c**2 - 4*c**2 + 4*c**2).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + (-333)\/(-18))*56\/3220\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-1 + 2 + 0). Let p be (-2)\/4 - 97\/v. Suppose 3*b + b = p. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Suppose 75 = -4*k + 95. Solve 0 = -n*y - k*j, -4*j + 2*j = -5*y - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjoroo. Give prob of picking 1 o and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 7*j + 11*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 3. Let v be y(-2). Suppose v*x**2 + 9*x**3 + 0*x**2 + 0*x**5 + 0*x**2 + 9*x**4 + 3*x**5 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - h - 5*o + 80, 3*h - 79 = -4*o. Solve 61 = h*v + 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, c: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 1 - p - 5\/3*p**3 + 1\/4*p**4 + 3*p**2. Calculate j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let i(w) be the first derivative of -19*w**5\/30 + w**3\/6 + 33*w**2\/2 - w - 82. Let n(t) be the second derivative of i(t). Give b(n(y)).\nAnswer: -2888*y**4 + 152*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-51)\/(5049\/22))\/((-2)\/342))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) -3\/7 (c) 2\/5 (d) 0.21 (e) 41\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -n - 16, 14*m - 8 = -4*n + 12*m. What is the closest to n in -1, 5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 5*s**6\/2 - 37*s**5 - 2125*s**4\/12 + 405*s**3 + 180*s**2 - 1320*s. Determine x so that m(x) = 0.\nAnswer: -3, -2\/15, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*j = 250*j + 2943857. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71007748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -76487824238096 take away -4?\nAnswer: -76487824238092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/15*j**3 - 2\/15*j + 4\/15*j**2 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6029790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:47 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 0 + 2 = -17*y - g, 0 = y - 8*g + 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 5)*(0 - 2 + 3*z - 2*z) + (-3*z + 0*z - 4*z)*(0 - 2 + 5) to f*z + x and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5 - 1 + y - 10*y + 6*y. Let k be i(16). Is 1*(-1)\/(-3)*0 - k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17363 less than 17368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*d**2*q**3 + d**2*q**2*r - 2*d**2*q**2 + d*q**5*r - 10*d*q**2*r - 3*q**3*r + 8*q**2*r wrt q?\nAnswer: -750*d**2 + 60*d*q**2*r - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1844900 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 904 = -0*n + 4*n. What is the remainder when n is divided by (-8320)\/(-140) - 3*3\/21?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/3 + 8*x**4\/3 - 2*x**3 - 40*x**2\/3 - 25*x\/3 = 0. Calculate x.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138252 and 4509?\nAnswer: 207792756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1573) + 1 - (sqrt(117)*3 - sqrt(117))) + -5*(-2 + sqrt(1872) + sqrt(1872)*1))**2.\nAnswer: -3220*sqrt(13) + 172121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2201*h + 4667*h + 111208 + 166344 = 560*h for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 - 1713*l**2 - 10359*l - 15579 = 0.\nAnswer: -3, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14152 + 14157. Let h = -2 - -3. What is the nearest to v in h, -0.1, -5\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 607 + -607. Solve 2*b - 5*b - 9 = u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-140)\/(-7))\/(-1 - (-21)\/18). Let q(s) = -s**2 + 6*s + 9. Let d be q(7). Suppose -2*y - d*y + i = 0. What is the greatest common factor of y and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + k + 3. Let c be d(0). Let x(a) = -126*a + 2020. Let v be x(16). Solve -q - v = c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331915072 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yffy when four letters picked without replacement from ffyyfyyfyyy.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073797299.\nAnswer: 3, 17, 739, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -0.5 (c) -2469\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11112449*h. Let u(l) = 4*l. What is u(d(a))?\nAnswer: 44449796*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 2*w**2 - w**5 + 2*w**5 + w**5 - 2*w**5 + (w - w + 2*w)*(-4 + w**4 + 4) - w**5 - 3*w**4 + 3*w**4 + (3 - 3 + 4*w)*(4*w**4 + 3*w**4 - 4*w**4).\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 1. Let r be t(2). Find the third derivative of j**2 + 3*j**5 + 3*j**4 - 3*j**2 - r*j**4 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + 1 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50602, 3, -16 in descending order.\nAnswer: 50602, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43504 or -43522?\nAnswer: -43504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**6\/360 + o**5\/60 - o**4\/24 - o**3 - 4. Let d(n) be the third derivative of a(n). Factor d(u).\nAnswer: -(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**8*(z*(z**(-12)\/z)\/z)\/z**(2\/37))**(-1\/6) assuming z is positive.\nAnswer: z**(779\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 122816016?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 42, 38 in descending order.\nAnswer: 42, 38, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 8899\/3, 98, -4 in descending order.\nAnswer: 8899\/3, 98, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 232.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 2*l**2 - 4*l + 4. Let t be f(3). Suppose 2*n = -4, -5*n + 11 = j - 7*n - 0. Put 4, j, -5, t in ascending order.\nAnswer: -5, t, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -775, -2450, -5245, -9160, -14195, -20350?\n\"Answer: -560*l**2 + 5*l - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 10*z + 14. Let p be t(-11). Suppose 4*d - p = 22. Suppose -3*q + 0*q = -d. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 9. Suppose 2*h + 6 = 5*h. Let y(u) = -2*u + 5. Let t(o) = h*d(o) - 5*y(o). Let n(r) = -6*r + 20. What is 6*n(s) + 17*t(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**4*z**2 - 88755*r**3*z + r**2*z + 13*r*z**2 - 611 wrt r?\nAnswer: -72*r*z**2 - 532530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 12*k - 28. Let p be u(-8). Solve 0 = -2*f + f - 2*x + 10, -f + p*x = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2012, 0.9 in increasing order.\nAnswer: -2012, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -41*b**3 - 17627*b**2 + 1289*b - 288. Give j(-430).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.000464 millennia?\nAnswer: 50.00464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 6. What is the units digit of 9\/r*470\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 199446179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + l**2 - l + 95. Let h(n) = -n**3 - n**2 - 94. Let k(m) = -2*d(m) - 3*h(m). What is the units digit of k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 331 and 1061787427.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639016*o - 145 = 639011*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g**5 - 219*g. Let z(x) = -19*x**5 + 219*x. Suppose 11*p + 43 = -1. Let w(s) = p*v(s) - 5*z(s). Find the second derivative of w(c) wrt c.\nAnswer: 460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-81 - -87 - (-1 + -3 + -1)) + -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 2*a + 3*a)*(-2 + 3 + 3) to y + k*a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) -7 (b) 1\/3 (c) 10\/13 (d) 0.5 (e) 4.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 590?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9789700 to the power of 1\/2, to the nearest integer?\nAnswer: 3129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -271 - -277. What is the greatest common factor of 114 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((7 - -4) + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 + 7*t**2\/2 + 8*t + 33. What is d in m(d) = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 152.\nAnswer: 25.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*y + 10*y + 165 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbnbnnbbbb. What is prob of picking 1 b and 1 n?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k. Let i be (-1 - 1) + 2 + 1. Let m = i - -1. Let x(d) = 3 - 2*d**2 - 3 + 0*d**m. Determine x(g(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 72468.1 * -0.3\nAnswer: -21740.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. Suppose -4*o = 36 - 136. Calculate the remainder when o is divided by ((-12)\/(-36))\/(h\/(-84)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 12) in base 2?\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*g + 119 + 541*g + g**2 + 545*g.\nAnswer: g**2 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + -4 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from kkqtqkqkiqtttkq?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**5 - j**5 + 0*j**5)*(1 + 2 + 1).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/118692 and -46\/12089?\nAnswer: 1305612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -86, -179, -346, -611, -998, -1531?\n\"Answer: -4*i**3 - i**2 - 12*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l = l + 1426 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 12*d - 51. Let t be o(-18). Suppose 150 = 3*q - t. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -44*z + 6068. What is r(137)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(4\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnrriirir. Give prob of sequence nr.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 160.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**4 - 1 + q**4 + 5 - 2*q**2 + 4*q. Let j(t) = -2*t**4 - 3*t**2 + 5*t + 5. Let i(g) = -4*j(g) + 5*o(g). Factor i(s).\nAnswer: -2*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-42) + 1382\/(-6). What is u rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*-1*sqrt(76))\/(sqrt(576) + (sqrt(576) - 1*sqrt(576)*-1)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138eb8 (base 15) to base 5.\nAnswer: -220112243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 7*l - 2. Let r be s(-6). Suppose -r*z = -2*z. Suppose 24*g - 26*g + 6 = z. What is the second biggest value in g, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.70593747 to two decimal places.\nAnswer: -68.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -2193.\nAnswer: -2193.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -4, 0, 2 in decreasing order.\nAnswer: 8, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + ((-2)\/2 - -5). Suppose 0*r = -w*r. What is the second derivative of -b**2 + 4*b**2 + r*b + b wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2382 + 2350 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1 - b + 8*b**2 + 5 + 6*b + 14*b**3 - 2*b. Let v(g) = 5*g**3 + 3*g**2 + g + 2. Let f = 5 - 2. Determine f*q(d) - 8*v(d).\nAnswer: 2*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27003 - 26998 + 64*d + 54005)*(-d**2 + 2*d**3 + d**2).\nAnswer: 128*d**4 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let y(a) = -a + 2. Let z be y(-8). Let o = 11 - z. Solve -3*m = -5*x + 3, -2*m + t*x + 1 + o = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 13. Let q be (v - 3 - -4)*-3. Suppose a + q*a - 116 = 0. Calculate the greatest common divisor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 384 = -33*w. Suppose -3*v = -5*c + c - 241, -4*c + w = 0. What are the prime factors of v?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 - 145. Calculate the smallest common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7230576 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187868 by -176.\nAnswer: -46967\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -21315550?\nAnswer: -21315553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108 in -1, 4, 0.4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - 8*t**2 + t**2 + 4*t**2 - 808*t - 3*t**2 to the form x*t + s + q*t**2 and give x.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3698*i**5\/13 + 20468*i**4 + 250176*i**3\/13 - 12068*i**2\/13 + 142*i\/13 = 0. Calculate i.\nAnswer: -71, -1, 0, 1\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15503870 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3075 * 0.4.\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*r + 4, 2*r - 3*r + 1 = -2*j. Sort -3, 5, r in decreasing order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 37 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**2 - 7*q + 51. Give j(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u + 2*t - 6 = 0, 3*t - 7 = 2*u. Let m be 1 + -57 + -2 + u. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -208 + 178 - 2*s**3 + s**3 + (s**2 - 1 - 3*s**2 + 3)*(2*s + 3 - 3).\nAnswer: -5*s**3 + 4*s - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-10)*-3 - 1\/2. Suppose 8*s - 57 - r = 0. Suppose 0 = c - s + 5. Sort -4, -1, c, -3.\nAnswer: -4, -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 6*w - 11\/2*w**2 - 1\/3*w**3 - 5. What is the tens digit of v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 217 = 4*x, -43 = -x - 5*d. Suppose -q + 5*t - x = -4*q, -5*q + t + 78 = 0. Calculate the least common multiple of 18 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x - 2. Let c(f) = 24*f + 7. Let w(u) = -3*c(u) - 8*r(u). Let j be w(-1). Solve 2 = 5*m - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 22 - 12 - 16. What is q(10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 338\/6 - (3859 - 3809). Factor -1\/3*l**3 + f*l - 2\/3*l**2 + 20\/3.\nAnswer: -(l - 4)*(l + 1)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1681 = 5*r + 3*l, -4*l = 21*r - 5129 - 1914. What is the lowest common multiple of r and 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12160557 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45e8 + 0?\nAnswer: -45e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, -23, -0.4 in increasing order.\nAnswer: -23, -0.4, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**6\/3 + 28*k**5\/5 + 32*k**4 + 76*k**3 + 63*k**2 - 465. Factor s(v).\nAnswer: 2*v*(v + 1)*(v + 3)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14 - (434 + -418).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfw when three letters picked without replacement from ywyfyyyyfwyyyfyyyyw?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17735\/8 + -2226. What is the common denominator of a and -131\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 438\/(-365)*5\/(-2). Solve f = l*f + 8, 28 = 3*n - 4*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/396968 and 21\/1144.\nAnswer: 396968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -26.6, -1\/8, 4, -0.3, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*f = -12, a - 2*f = -4*f + 10. Let s be (a\/(-80))\/((-8)\/(-8)). Is 0 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n + 3. Let m(j) = 13*j + 5. Calculate 4*m(u) - 7*y(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.76 - -8.759999533. What is n rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - v - 4. Let q be g(2). Suppose 4*a + 20 = q*a. Suppose x + 4 = 14. Calculate the smallest common multiple of x and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + -1222\/9. Put f, 2\/5, 2\/7 in increasing order.\nAnswer: f, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/285052 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**3 - j**2 + 5*j - 10. Let k(v) = 17*v**3 - 2*v**2 + 10*v - 21. Let b(x) = -6*k(x) + 13*l(x). Is b(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h + 1. Let m be s(-2). Let z = -7 + m. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17766 divided by -1\nAnswer: -17766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -851 + 1073*r - 31*r**2 + 425 + 29*r**2 + 428.\nAnswer: -2*r**2 + 1073*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-132)\/(-18)) + 2\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 276754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 1. Let c(d) = 3*d - 2. Let j(y) = c(y) + 4*i(y). Let f be j(4). What is the hundreds digit of (((-4508)\/16)\/7)\/(f\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 99038580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1) + (-1696)\/40. Let j = s + 45. Which is the closest to j? (a) -0.8 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -527193.\nAnswer: -17\/527193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 443838 divided by -147946\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n - 871*n**3 - 65*n + 48*n.\nAnswer: -871*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 12 = -2*y. Which is bigger: y or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 22*t**2 + t - 1. Is n(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10143 is divided by 139?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgy when three letters picked without replacement from {l: 4, y: 5, s: 1, g: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -827*c - 52556. Determine a(-63).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 26*t**2 + 9*t - 32. Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19172, -19140, -19100, -19046, -18972, -18872, -18740, -18570?\nAnswer: -18356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -368 + 368 + 18*j to r*j + z and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 2, l: 2, u: 4}. What is prob of picking 2 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -504.\nAnswer: -504.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 929d - -4aa?\nAnswer: 9769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Which is bigger: 23 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 5*z + 3. Let u be d(-4). Is 3 a factor of u - (-1 - 0)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2204*j**2 + 536*j**3 + j - 2202*j**2 - j.\nAnswer: 536*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2 - 127977*k - 379838 wrt k.\nAnswer: 2*k - 127977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k**3 + 0*k**2 + 0*k**2 + 27*k**3 - 53*k**3.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 4*q + 0 + 0*q**2 - 2\/3*q**3. Let m(t) = 2*t**2. Calculate m(v(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1682*u + 1684*u - 8. Which is the nearest to 18? (a) 3 (b) -25 (c) 5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1098 less than -103.7101768?\nAnswer: -101.6003768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3900)\/sqrt(3)*-1)**2.\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(156)\/(sqrt(72)\/sqrt(6)) + 3 - (-1 + -1 + sqrt(13) + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 127120 and 1.19923193.\nAnswer: 127121.19923193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o = 80*o + 1918 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293063 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -33. Calculate the lowest common multiple of (-6)\/48 - 130\/f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156194?\nAnswer: 2, 29, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Suppose -2*a - a = 3. Calculate the remainder when z is divided by (4\/6)\/(a\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*x = 132*x + 386 + 10 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*p + 144, -4*p + 6075*s + 137 = 6072*s for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*i + 3*h + 175, -3 = -3*h. Let a = i + -41. Let f be (-10000*(0 + 2))\/(a\/(-1880)). What is f rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22646 - 21936. What is the greatest common divisor of 160 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6510534, 6510529, 6510522, 6510513, 6510502, 6510489, 6510474?\n\"Answer: -p**2 - 2*p + 6510537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 400264\/227 and 1764 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.127 in -0.5, -0.02, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 900 and 1490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.36471, -0.2, -16\/3 in decreasing order.\nAnswer: 1.36471, -0.2, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 13*l + 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + m + 4. Let u(i) = i**2 + i + 1. Calculate d(w) - 3*u(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71467 or 71421?\nAnswer: 71467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*q - 8*q. Let t(w) = 331*w + 336*w - 6 + 8 - 663*w + 0. What is t(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/1405 - -4257\/2810. Let o(s) be the second derivative of -k*s**2 - s**3 - 1\/4*s**4 + 0 - 16*s. What is f in o(f) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784\/1715 - 1\/(-5)*-3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11098, 22222, 33360, 44518, 55702, 66918, 78172, 89470?\n\"Answer: a**3 + a**2 + 11114*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 202*x - 396.\nAnswer: -2*(x + 2)*(x + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -z - 51, -10*z = -5*x - 7*z + 126. What is the remainder when 37 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-2716)\/105) + (-23688)\/540?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 133*y**2 + 3*y - 2. Let n = 457 - 456. Let v be f(n). Is v >= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/6)*(t**(1\/5)\/t)\/t)\/(t\/(((t*t*t**(-2\/7))\/t)\/t*t)*t**(-4)*t) assuming t is positive.\nAnswer: t**(227\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89160 and 66870.\nAnswer: 267480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34560 and 109632.\nAnswer: 19733760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17945720 rounded to the nearest ten thousand?\nAnswer: -17950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from tlvlhlj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/6 - 83438*n**3 + 10449355902*n**2 - 1628576926704*n + 63494708475744.\nAnswer: (n - 250236)**2*(n - 78)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -35 - 70 - -29\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -58\/83, -1\/8, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 30 = -4. Let x(n) = n. Let q(l) = -19*l + 20. Let j(w) = -q(w) + 4*x(w). Let b(z) = z + 4*z - 7 + 0*z + 3*z. Calculate d*b(u) - 6*j(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfkvffvvkkfvff. What is prob of sequence fkff?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/40 - h**4\/24 - 6*h**2. Determine c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 18. Let k = -2 - -5. What is the remainder when x(8) is divided by (-2)\/k - 159\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447074 (base 9) to base 13.\nAnswer: -94a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 10, -2\/15, -0.5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/24 - 5*s**3\/6 - 14*s**2. Let d(b) = -3*b - 1 - 4*b - b**2 - 8. Let p be d(-4). Determine i(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5 - 1. Suppose 0 = -2*f - 6, -5*f - 64302024 = n*y + 14961195. Let b = y + 11515801. What is b rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 - 11*i**3 + i**3 + 0*i**2 - 3*i - i. Let b(r) = 9*r**3 - 5*r**2 + 4*r. Let h(z) = 6*b(z) + 5*w(z). Find the second derivative of h(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t - 4*x = 52, 3 = -3*x. Let s be (30\/5)\/(t\/(-8)). Solve s*o + o + 2*c - 14 = 0, 4*o + 4*c = 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccr when three letters picked without replacement from {o: 2, r: 1, c: 2, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-34)*2)\/((-2)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 673*k**5\/5 + k**4\/6 + k**3\/2 + 1530*k**2 - 6*k + 66. Find the second derivative of w(y) wrt y.\nAnswer: 16152*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974506448 to the power of 1\/2, to the nearest integer?\nAnswer: 31217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a*f**3 - a*f*r**3 + a - 4*f**5 + 20*f**3*r**3 + 138*r**3 wrt f.\nAnswer: -24*a*f - 80*f**3 + 120*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6864 and 660?\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(156))*-2)\/(1*sqrt(75)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = s, -s - s + 10 = 0. Let v = -3 - w. What are the prime factors of 2\/((16\/(-18))\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 6*p + 10. Suppose -2*c + 30 = 30*h - 25*h, 30 = 5*h - 4*c. Determine w(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 880294 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45584 - -45629. Let h = 434 - 214. Calculate the remainder when h is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 125. Suppose -166 = -3*t + 2*b, 4*t + 0*t + 2*b - 212 = 0. Is (-1)\/(t\/g - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*g - 103, -4*g - 22 = -5*g - 4*x. Suppose -13 + g = h. Let r = h + -11. Put r, 3, 1 in descending order.\nAnswer: 3, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*b = 6, 0*k - 5*b + 4 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000394876 rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5326032 (base 9) to base 4.\nAnswer: 22320100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 y, and 1 c when three letters picked without replacement from cuynqxy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 6. Let w(s) = 1. Suppose 4*z + 3*c = -2*c - 17, 3*c = -4*z - 7. Let h be (1\/4)\/(6\/(-12))*z. Suppose -5*o + 6 = -6*o. Give h*b(l) + o*w(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15620 and 1136?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 - -0.18. Which is the closest to w? (a) 1 (b) 1\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j + 83 = 41. Suppose -6*u = -2*u. Sort j, -18, u in descending order.\nAnswer: u, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 + -1. Let y = 7112 + -7110. What is the second smallest value in y, 3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 7 + 7 - 18*s as b*s + d and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:13 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3183879.\nAnswer: 3, 17, 163, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 508\/510 + (-20)\/20. What is the second biggest value in q, 0.5, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2736) + sqrt(2736) + 2 + 2 - (((sqrt(133) - (1*sqrt(133) + sqrt(133)))\/sqrt(7) - (sqrt(19) + 0 + 5 + sqrt(19))) + -3))**2.\nAnswer: 594*sqrt(19) + 13972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*n = 3*n + 24, 2*d + 2*n = -4. Is (6188\/8 - d)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74163769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**15)**(-13\/2)*(g**15)**(-8) assuming g is positive.\nAnswer: g**(-435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (39 + -10 + -12 - 18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -1*sqrt(77)*-2)\/(sqrt(14)\/(-4*sqrt(2))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91.5 + -16.5. Let w = j + -53. Let u = -11 + w. Put 2\/19, -3, u, 5 in descending order.\nAnswer: u, 5, 2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1109 - -777. Let l = w + 761. Suppose 9*p + 4*k = 4*p + 441, k - l = -5*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, z: 1, b: 4}. What is prob of picking 1 q and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 27. Let i be v(12). Solve i = -5*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.14400119 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -220 - 334?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81830 and 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 0 + -129 + 133\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 281 = -49. Suppose -a - 75 = -3*v + t, -4*a - 252 = -4*v. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 341 - 341 + 80*h + (0 + 0 + 2*h)*(-1 - 3 + 5) + (-h + 2*h + 0*h)*(-2 + 2 + 1) + (-3*h + 3*h + h)*(5 - 2 - 1) as j + b*h and give b.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 15 - -5 - (5 - -4)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -377*h + 374*h + 138. Solve 0 = -n - h + 41 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000263 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = y - s, -4*s - 14 = 6. Let d(f) = -4*f - 6. Let b be d(16). Let g be 9\/6*b\/y. Solve 0 = -g*k + 22 - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -6\/25, 2\/9, -2?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t*u**5 + 3*t*u**3 + 120*t*u**2 + 48*u**5 + 2*u**2 wrt u?\nAnswer: 60*t*u**2 + 18*t + 2880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/6 (c) -0.1 (d) -4\/3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120228*h**2 + 85700.\nAnswer: -240456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1800 and 71600.\nAnswer: 644400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4\/11 + 12*h**3\/11 - 14*h**2\/11 - 12*h\/11 + 16\/11 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112 (base 3) in base 16?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -194660*x**2 - 8 - 194592*x**2 - 24 + 389327*x**2 in the form w*x**2 + k*x + p and give w.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*(q\/q**(-2\/5))\/q)*q*q\/q**(2\/3)*q)\/((q*q\/q**(1\/3))\/q)**(7\/4))**(-3\/20) assuming q is positive.\nAnswer: q**(7\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 10 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 59*x**3 + 15*x - 9. Let z(u) = u**3 - 3*u. What is v(d) + 5*z(d)?\nAnswer: 64*d**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 0 + (0*12\/(-24))\/(-8). Let h(o) = 4*o**3 - 3*o + 3. Let n(g) = -5*g**3 + 2*g - 4. Calculate m*h(l) - 3*n(l).\nAnswer: -l**3 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) + (-16)\/(-6). Let r be (m - 4) + 46*1587. Let i be -2 - (-6)\/2 - r. Round i to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5257*y**2 - 272 + 546 - 274.\nAnswer: -5257*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 31, -1, -7 in descending order.\nAnswer: 31, 0, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 194143.1 to the nearest one hundred.\nAnswer: 194100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznzzzzz. What is prob of sequence zzzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31225490 is divided by 2678?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2. Let v(f) be the second derivative of -f**5\/20 + f**4\/2 + 42*f. Give -6*o(z) - v(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/14 - 2) + 11780\/266. Let l = h - -2135. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 51, 2, -0.2, 15771\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*p - 192 = 90*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1650874776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -37*f + 26. Let t be g(-5). Let m = t - 50. What are the prime factors of m?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 2\/15*v**6 + 0*v + 0*v**3 - 13*v**2 + 7\/60*v**5 + 0*v**4 + 0. What is the third derivative of r(j) wrt j?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-1428))\/(6*(-2)\/(-8))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -1, 2\/7, 1, 0.3, 5\/2.\nAnswer: -5\/3, -1, 2\/7, 0.3, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1653 + 3?\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -1803679\/5?\nAnswer: -1803679\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72952 = 16*c - 8*c. Let x = -237141\/26 - c. Find the common denominator of x and 121\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -18*i + 11*i. Let d be i + 124\/16 - 2\/(-8). What is the first derivative of -1 - d - 29*t - 12 wrt t?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 458 - 453. Suppose 4*r - 4*n - 96 = 0, 27*r = 25*r + u*n + 33. Calculate the greatest common factor of r and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2414014 by -1.\nAnswer: -2414014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 26880378?\nAnswer: -26880378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*(-9)\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 101 (b) 3\/7 (c) -25 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 97. Let x be 36\/40*-4 - g. Let n be 0 + (4\/(-17))\/2. Which is the nearest to x? (a) 2\/11 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76717.30723033 - -0.07.\nAnswer: 76717.37723033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v + 2. Let k be d(0). Sort -29, k, -3, 1.\nAnswer: -29, -3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 * 339.7\nAnswer: 1392.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5623158.4 rounded to the nearest one thousand?\nAnswer: -5623000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06243 to three decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**3 + 744*f**2 - 223*f + 1167. What is s(106)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/160*-8*48\/3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/24*2\/(-9))\/((-6)\/((-10212)\/(-23)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*152210\/(-3928).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -294, -455, -568, -627, -626, -559?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 604 = 1816. Suppose -4 - q**2 - 222*q + 116*q + g*q = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26995570 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -10*n + 55. Suppose 24 = 3*k - n*g, k + 4*g - 6 = 5*g. Suppose -2 - 5*d**3 + 14*d**3 + 6*d**2 + d**k - 5*d**3 - 9*d = 0. What is d?\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1\/5, -0.9, 13 in increasing order.\nAnswer: -0.9, -1\/5, 2\/17, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(4996*c**2 + 90*c**5 - 4996*c**2) - 3*c**5 + 0*c**3 + c**3 + c**3.\nAnswer: -183*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09637 rounded to 3 dps?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 347.4761 litres?\nAnswer: 347476.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*h = j + 1558, 3916 = 5*j + 2*h. List the prime factors of j.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:27 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231231 and 7502?\nAnswer: 14336322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46*11284\/(-20930) + 25\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81197 = 30*r - 5173607. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143 + 56 - -79 - (-14 + (3 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 16*j + 105 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooaaoaooaa. Give prob of picking 2 o and 1 a.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 600 + 5898*t**2 - 2948*t**2 - 2955*t**2 + 595*t.\nAnswer: -5*(t - 120)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 + 11*p - 5. Let g be k(-4). Calculate the common denominator of (g + 11)\/(56\/21*-8) and 49\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-515)\/1320)\/((-3)\/6) and 71\/105.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58577859 to three dps.\nAnswer: 0.586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d*d\/(d*d**31*d*d)))\/(d*d**(-6)\/d) assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = y + 2*y. Let t be (8 + 1)*(-2)\/y. Let j be (t\/(-2) - -3)\/(2\/2). Solve 3 = g + 4, j = q - 3*g - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -58. List the prime factors of 1036\/16 + g\/12.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/8 - 3\/(-12). Let b = a - -22. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 4, l: 1, y: 1, e: 6}. Give prob of sequence ye.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(sqrt(3) - sqrt(9)\/sqrt(3)) + (5*sqrt(108)*-1)**2 - (0 + 3 + (sqrt(3) - (-2*sqrt(21))\/sqrt(7)))*-1.\nAnswer: 3*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 619 + 661. Let f be 4\/(-16) + 138\/8. Let m = d - f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240874 is divided by 505.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c + 3*c = 167562. List the prime factors of c.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 11, -11 in descending order.\nAnswer: 16, 11, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/40 and -167\/152791560.\nAnswer: 152791560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2668 * 0.4\nAnswer: 1067.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088097?\nAnswer: 3, 47, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/64 - 335\/1472. Let v = 0.2 + 0.2. What is the third smallest value in v, f, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 76. What is g(-9)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 12*j**2 + 15. Calculate f(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/9086748 and 37\/27260244.\nAnswer: 27260244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2 + 1 - 1 + 9*b - b**2 - 4. Is z(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (5 - 7)) + (2 - -11) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d + 7825 = -282*d - 3043. What is the closest to 0.1 in -5, -1\/10, d, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**11)**(7\/6) assuming u is positive.\nAnswer: u**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/19? (a) -0.6 (b) 25 (c) 15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 2*x - 2. Let h be k(2). Suppose 2*d = 4, 3*d + 4 = 3*i + h*d. What is the derivative of u - u**i - 3*u - 4 + 2*u wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 1. Let a be t(5). Suppose 3*l + a = 5*l. Solve 0 = l*o + 3 + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {k: 1, z: 2, v: 1, n: 1, u: 1, a: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*g**2 - 560*g**2 + 3*g**3 + 1127*g**2 - 416*g**2.\nAnswer: 3*g**3 - 214*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/21)\/((60\/18)\/10). What is the closest to -4\/17 in 3\/2, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -178, -0.3, 5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t + 38*t + 250 = 0. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -3 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -0.1. Let t = 35 - 35.4. Which is the smallest value? (a) -2\/3 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5621705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 8*m + 11. Calculate the lowest common multiple of 8 and v(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/7 (b) 1\/5 (c) 39\/8 (d) 404\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1687, 3370, 5039, 6688, 8311, 9902?\nAnswer: 11455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 8180?\nAnswer: -8175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 191414953 to the power of 1\/2, to the nearest integer?\nAnswer: 13835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.053, 411, -31 in increasing order.\nAnswer: -31, 0.053, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938 = 3*p - 21*p + 596 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/(-4) - 4\/(-8). Let v(w) = w**3 + 8*w**2 - 9*w - 7. Is v(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21419*c**2 - 21419*c**2 + 682*c**3.\nAnswer: 682*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42142, 42084, 41988, 41854, 41682, 41472, 41224?\nAnswer: 40938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -120 + 95*z - 257*z**2 + 597*z**2 - 83*z**2 - 42*z**2 = 0?\nAnswer: -1, 24\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1663426149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41244.42532 rounded to the nearest 10?\nAnswer: 41240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 3, -2\/5, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-15) + 11 + -8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 0.5 (b) 26\/5 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and (513\/(-6))\/(29\/(-58))?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 + 5\/24*s**4 + 5\/168*s**8 + 0*s**5 + 0*s**6 + 7*s**2 + 0*s + 0*s**3 + 0*s**7. Find the second derivative of m(a) wrt a.\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 3*f + 10*f - 53 + f - 49.\nAnswer: -2*f - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18980640 by -1186290.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1119*y + 12*y**2 - 8910*y - 16*y**2.\nAnswer: -4*y**2 - 7791*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0061102 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3822?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/4 - 2045*b\/2 + 2046 = 0. What is b?\nAnswer: -4092, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-3) + 1 - 0. Suppose -4*x - 8 + 44 = 0. Solve 0 = j*p + 2*a + 3*a + x, -2*p - 12 = 4*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 36*f + 29. Let k be z(-36). Solve -5*b + k = 3*x, 4*b = -4*x + 12 + 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191058030 to the nearest one hundred thousand.\nAnswer: 191100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 98 = -32*r + 30*r - 418, -3*w - 3*r = -90 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(704)))**2.\nAnswer: -576*sqrt(11) + 25380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s**5\/3 + 68*s**4 - 460*s**3\/3 + 4*s**2\/3 + 192*s - 112\/3 = 0. Calculate s.\nAnswer: -1, 1\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - ((4 - -11) + (3 - 10)) - 7) + 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - 2*p**2 + 3*p**2 to i*p + q*p**2 + c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*m - 93927 = 0, -52*u + 49*u = 2*m - 56353. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*l + q + 10, 0 = -2*q + 4. Let x(f) be the first derivative of f**2\/2 - 4. Let o(z) = z**2 + z. Let c(s) = l*o(s) + x(s). Factor c(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 11 = 11*i. What is the nearest to -0.1 in 3.1, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(198) - sqrt(22)))\/(sqrt(162)*-2 + (sqrt(2) - sqrt(50)*-4)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3 - -3)\/(-3). Suppose -s + 9 = -d*s. What is the remainder when 17 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35941, -35891, -35841, -35791, -35741?\nAnswer: -35691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101\/657 - 5\/73. Suppose -3*k = 2*f - 19, 19*f = -k + 17*f + 13. Sort 1\/3, k, x, -0.3 in increasing order.\nAnswer: -0.3, x, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -267740 and -1.67311718?\nAnswer: 267738.32688282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/12 + 5*a**3\/3 + 3*a**2 - 3*a. Let g be l(10). Suppose -g*v + 1204 = -2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((12\/8 - 4)*-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001112 (base 3) to base 4.\nAnswer: 232031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l**3 + 13*l**2 + 15*l + 28. Does 26 divide p(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(34*48\/11424)\/(1*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q + 100. Let p be f(12). Let r(b) = -2*b**3 - 16*b**2 - 11*b - 23. Let t be r(p). What is the greatest common factor of t and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 2*p**2 - p + 1. Suppose 0 = -3*s + 2*t, 6 = 3*s - 5*t - 3. Is 3 a factor of y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from fffnnfmnjn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 - 1235\/9. Which is the fourth smallest value? (a) w (b) 0.4 (c) 4\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/11 - 100*j**2 + 2194*j\/11 - 1096\/11.\nAnswer: 2*(j - 548)*(j - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6427031 or -44?\nAnswer: -6427031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27\/2 + -13. Let h = -8.544 - -8.704. What is the closest to -2 in -5, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/62, 0.\nAnswer: -5, 0, 1\/62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwwfmfwwnzwwwfwzwq. What is prob of sequence fwwm?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 1, 5*l + 8 = -11*j - 52 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552.3737 kilograms to milligrams.\nAnswer: 552373700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3\/2 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y**2 + y + 13. Let k(o) = o**2 - o - 1. Determine -3*k(z) - x(z).\nAnswer: -16*z**2 + 2*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z**3 + 46*z**3 - 16*z**3.\nAnswer: 67*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Let h be 0 + 1 - (j + -1). Let k = -4 - -3. Put k, h, 0 in ascending order.\nAnswer: k, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 498.69 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62896 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.7 - 7. Let l = -9.62 - -1.72. Let g = l - -8. Which is the closest to 0? (a) g (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 60951.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 2*y, 5*m + 15 = -4*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1080 and -49\/6345?\nAnswer: 50760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 - 8*d - 7. Suppose 78 = -8*t + 70. Let o be a(t). Solve 5*g - 6*b = -3*b + 40, -g = o*b + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-240)*4\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 46*f - 45*f - 5*x, -x + 4 = -5*f. Solve f = -70*b + 62*b + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 293099566 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1*(-28)\/(-392). Is -47 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 0 in decreasing order.\nAnswer: 8, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14 and 48.383348?\nAnswer: 48.243348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010 a factor of 533627850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*s**3 + 9900*s**2 + 1286276*s.\nAnswer: -66*s + 19800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 4\/6*-3. Let w be (-1)\/(-11) + 269*(-7)\/(-462). Is w < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -8\/35, 2, 1\/8, 0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1034 and 7712606?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6438 + 25357. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**7\/105 + j**6\/50 + 4*j**5\/25 + j**4\/6 - j**3\/5 + 457*j**2. Let o(y) = 0. Calculate y.\nAnswer: -1, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let t be (-1 + 1 + 0)\/(-2). Suppose -2*n = 4*u - 8, t*u + 4*n - 16 = 5*u. Sort u, -6, l in increasing order.\nAnswer: -6, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.214 (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -292854*r**2*z**2 + 11*r**2*z - 6855*r*z**2 - 2*r*z + 587*z wrt r?\nAnswer: -585708*z**2 + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00496881 to 5 dps.\nAnswer: -0.00497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 841)*(10\/3)\/1. Suppose 4*c + 2248 = -2*i + 6*i, 5*i + 2*c = g. What are the prime factors of i?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5, -8, 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 841727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83409136 and 1940.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5833967429655 from 0.5.\nAnswer: 5833967429655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.721 rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1290 + 1381. Calculate the highest common divisor of u and 312.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 1827 = 63*f + 1403. Is -24 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 403637613 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/1486 (b) 2\/21 (c) 0.5 (d) 0.3 (e) 5 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**3 - b**2 - b - 1. Let u be c(-1). Suppose 5*s - 8002 = s - 2*o, -u*s = 5*o - 8005. Round s to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1 + (172\/(-16))\/(1001\/308)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 = d, 2*d + 0*d = -2*z + 4. Factor -383*l**3 + 393*l**3 + 9*l**2 + 15*l**4 + d*l**5 - 9*l**2.\nAnswer: 5*l**3*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + 21\/(-12). Let b = -1 - m. Let a = 14 + b. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccoo when four letters picked without replacement from ococooccoc.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.6 rounded to zero decimal places?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -13 - (-30 - -16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 13 - 4 + 9 - 25367*n + 21)*(-3 - 2*n**2 + 3).\nAnswer: 50734*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 4\/7, -10176.57, -2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2478279\/7 - -354041. Find h such that 8\/7*h - z*h**2 + 0 - 2\/7*h**3 + 2\/7*h**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2f6582 (base 16) to base 7\nAnswer: 35254625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -10*z. Suppose z = 5*y - 3*p - p - 243, -2*p - 4 = 0. Suppose 0 = 5*i + y - 477. Calculate the greatest common divisor of 43 and i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 6:55 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13044 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12557044831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 517*l - 537. Is u(40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (8 + -10 - (-4 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 10, 36, 82, 154, 258, 400, 586?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 7405, -79 in decreasing order.\nAnswer: 7405, 2, -1, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2102430 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-4 + 10)) + (-2 - (-6 + -1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r = -19*r + 5*y, -12*r - 2*y + 91 = -33 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15364 or -229?\nAnswer: 15364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -3*x**6\/20 + x**5\/5 + 19*x**4\/12 - x**3\/2 - 3*x**2 + 1. Is 5 a factor of a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n. Let v(r) be the first derivative of -416*r**2 + 9. Calculate v(u(b)).\nAnswer: -1664*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*g = 5*z + 11, -5*z + 5*g = 15. Suppose -1933 = -3*o + 4*f, -971 = -2*o + z*f + 317. What are the prime factors of o?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 4 + 3 - 2*i. Give u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705 divided by -5?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3344086 is divided by 1672043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -17. Suppose -p*u = s - 10, 3*s - 4*s + 7 = 2*u. Solve -s*k - 2*h = 0, -6*k = -2*k - 4*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*v - 130 = 860 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -5*t**4\/12 - 5*t. Let u(n) = 3*n. Calculate u(d(v)).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158\/1027*(25 - -131)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 247*m**5\/30 + 42*m**3 - 150*m**2 - 3. Differentiate x(d) wrt d.\nAnswer: 988*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 30383?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.079\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8858?\nAnswer: 2, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -51, -111, -195, -303, -435, -591?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 136. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 132951947 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b - 1. Suppose -47*a - 155 = -249. Give g(a).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y**3 + 0 - 1\/6*y**4 + 0*y**5 + 7*y**2 + 7\/120*y**6 + 0*y. Find the second derivative of i(b) wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/2 - 3*h**2 - 24*h + 48.\nAnswer: 3*(h - 4)*(h - 2)*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c**2. Let h(t) = -4*t - 2. Let d(s) = -17*s - 9. Let a(o) = 2*d(o) - 9*h(o). Calculate g(a(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 940 + -935. Let o be (-15)\/(-4)*6\/15. Let f be 10\/(-7) + -4*4\/(-8). Put a, o, f, 1 in ascending order.\nAnswer: f, 1, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hctbhhmtmmhhmmmhhtm?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(sqrt(1539) + 1 + sqrt(1539))*-5 + -4)**2.\nAnswer: 2160*sqrt(19) + 615636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 99*h + 100.\nAnswer: -(h - 1)*(h + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2122200, 8488674, 19099472, 33954600, 53054064, 76397870, 103986024?\n\"Answer: i**3 + 2122156*i**2 - i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1653, 3, -12, 0.5 in increasing order.\nAnswer: -12, 2\/1653, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98791 = 2205*d + 13664 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -128, -278, -488?\n\"Answer: -30*g**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, -0.1 in increasing order.\nAnswer: -2, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 7*n + 8. Let r be f(-8). Let k(a) = -a**2 + 2*a - 40. Let u(v) = 2*v**2 - 3*v + 79. Let g(t) = 5*k(t) + 3*u(t). Is g(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gigi when four letters picked without replacement from tgyiigygtttzig?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s**2 + 2. Let n(f) = 25*f. Calculate n(h(l)).\nAnswer: -325*l**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y*y**(-15)\/y)*y**2 assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {m: 2, x: 4, u: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/(-36)*(74 + -62).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 10*h**2 + 24*h + 35. Give p(-9).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/22 and 33\/(-15) + 6\/15.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -6. Let s be -2*(u + -1 - 30). Find the common denominator of 1*(3 + s\/(-28)) and -8\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c*d**2*j**2 - c*j**2 + 10*c - 250*d**3*j**2 + 7*d*j - 3*j**2 + 1 wrt d?\nAnswer: -26*c*j**2 - 1500*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 139 = x + 249, 392 = 5*i + x. Suppose -5*h + i = 4*w, 0*w - 3*h = -w + 11. Let s = w + -8. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/236521 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfff. What is prob of sequence fv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2786 - -2829. Let i(g) = -5*g**3 - 2*g + 2. Let s be i(2). Let t = u + s. Put t, -6, 0 in descending order.\nAnswer: t, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*s = 13*s + 86*s - 12090 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (0 - (-1 + 0)). Let h = 4 + u. Let b = 8 - 4. Solve y + b*k + 3 = 0, y + 0*y = h*k - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c - 169. Let h be j(12). Let g(o) = 8 - 8 + 5*o + h*o. Let k(i) = 4*i. Determine k(g(v)).\nAnswer: 64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -32*m - 3. Let x be q(-6). Suppose -303 - 1441 = -16*i. Suppose 2*n - i = -3*f, -2*n + 5*n - 4*f - x = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 68*x**2 + 66*x - 203. Give t(-69).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242 by -121.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 5:59 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 170852*w + 99386952.\nAnswer: -4*(w - 43287)*(w + 574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**3 + 526*u**2 - 201*u + 10815. Calculate v(105).\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 2, h: 7, l: 7, u: 1}. What is prob of picking 1 q and 2 h?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/52 and -1\/10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 6:40 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4\/7 (b) -3\/8 (c) 1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 512*p + 2076. What is h(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17676 = -45066*y + 45557*y for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67799128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2*x + 2404*u*x**3 + 5*u*x**2 + x**3 - 16*x**2 - 658 with respect to u.\nAnswer: 4*u*x + 2404*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 8. Which is the nearest to m? (a) -3 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-884)\/187)\/(-13)*(-2)\/(-4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:35 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 83174938 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2721, 2718, 2713, 2706, 2697, 2686, 2673?\nAnswer: 2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 - -27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5886, -12845, -19804, -26763, -33722?\nAnswer: -40681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(-54)\/4. Suppose 5*a - 23 = -8. Let x = p - a. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + k**2 + 1. Let m be (-6 + 7 + -4)\/1. Let l(i) = 8*i**3 + 7*i**2 - 30*i - 69. Let j(n) = m*a(n) + l(n). Let j(d) = 0. What is d?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*y + 16. Let a be -4 + (6\/(-8) - (-46)\/y). Solve 0 = c + w - 6 - a, -c + 1 = -w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.054 + 2.246. Let t = -169.7 + 170. Let m = j - t. What is the nearest to 2 in 3, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2388 - 1616. Suppose 3*n + 180 - t = -2*a, n + 3*a = 188. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/7 and 649\/33 - (-6)\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005994 rounded to 6 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1123728 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 - -239. Let f be 2\/j*32\/16 - -5. Solve -5*d + f*d + p = -1, -3*d + 1 = -4*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1376*p**4 - 2018*p**4 + 2838*p**4)*(p + 3*p - 2*p).\nAnswer: -1112*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 + 6*k**2)*(-987 - 1073 - 854 + 689 - 666) - 1 + 1 - 2*k**2.\nAnswer: -11566*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -3 (c) 243669 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3752.768 + -3721. Let u = w + 0.232. Which is the smallest value? (a) 4 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/108 - -6*(-30)\/(-324)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.7 + 0.0058248304?\nAnswer: 702.7058248304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 1193 = -32204. Let t = -4 - -6. Suppose i - 1189 = -4*j, 4*i - t*j = -3*j + w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 2*g + 2. Let z(x) = 5*x**2 + 4*x + 3. Let q(k) = -7*y(k) + 3*z(k). What is q(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/720 - c**5\/30 + c**4\/24 + c**3\/3 - 93*c**2. Let j(v) be the second derivative of s(v). Give j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 2\/(-2 + 0). Find the common denominator of 9\/512 and (h - -1)\/(0 - 54\/63).\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/(4\/(-213)). Suppose -2*r - 5*a = -14, -4*r - 5*a + 52 = 4. Let i = r - p. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -18. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4403443404 (base 5) to base 13.\nAnswer: 1c55744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 490291312 to the power of 1\/3, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3272*x - 206697*x**2 - 188*x - 780*x + 217340*x**2 - 2832*x wrt x.\nAnswer: 21286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h\/(h\/h**(2\/21)))\/h)))\/((h\/((h\/(h\/(h\/(h*h**2))*h))\/h)*h)\/h)*h**2*h\/(h\/(h\/h**(-2\/11)))*h)\/(h**(1\/2)*h**5)**(-2\/13) assuming h is positive.\nAnswer: h**(-2633\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2473*b - 2021*b + 18080 = 0 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 780 + 4 - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -3*f**5\/100 + f**4\/10 - f**3\/10 + 3*f + 4. Let a(l) be the first derivative of t(l). Factor a(s).\nAnswer: -3*s*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/15, 2\/11, 3\/5, 325, 0, -13\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296208 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156989 + -235262. List the prime factors of b\/(-135) - (-2)\/10.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 + -1 + -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5*v**2 - 2*v**2 - 3)*(3*v - 2*v + v + (2 - 5 + 1)*(3*v - 2*v - 2*v)).\nAnswer: 12*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319117.5l to millilitres.\nAnswer: 319117500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*v - 4. What is the derivative of 2 + v + 2*o + o - o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1220, -2451, -3682?\n\"Answer: -1231*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 5*c - 8, -2*p - 3*c + 4 = 0. Suppose -p*f + 6 = -4. Calculate the smallest common multiple of (-3)\/(-6) + 2\/4 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -195*f**3 - 142*f**2 + 46*f - 11. Let h(b) = 69*b**3 + 47*b**2 - 16*b + 4. Determine 17*h(w) + 6*m(w).\nAnswer: 3*w**3 - 53*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = 0. Let l(k) = 3*k. Let g be l(1). Suppose w*v = g*v - 57. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188360 - 68112. Let k = q + 333752. What is k rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37200964.1 to the nearest one hundred thousand.\nAnswer: 37200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 134 = -2*a, 28 = a - 5*i - 54. What is the greatest common divisor of 18 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7282 is divided by 289?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - h - 1, 4*q = 2*h + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 + 33 = -5*h. Put h, 4, 1, 3 in increasing order.\nAnswer: h, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72533032 a multiple of 568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 1. Let a(w) = w**2. List the prime factors of a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/5 - 58*c**3\/5 - 64*c**2\/5 + 24*c.\nAnswer: 2*c*(c - 30)*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 35 = -63. Calculate the greatest common factor of u and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*40\/(-16)*(630\/(-50))\/21.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 120. Suppose 4*w = w + z. Solve -4*i + w = -6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**3 - 4*f**2 - 2*f. Let m(q) be the first derivative of -19*q**4\/4 + 3*q**3 + 5*q**2\/2 - q + 2785. Calculate 5*g(t) + 2*m(t).\nAnswer: 7*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 2 + 39*o + 3 - 1.\nAnswer: -2*o**3 + 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*c + 24, -2 = 181*x - 179*x + 4*c. Suppose 89 = -g + 5*g - 5*w, -4*w + 64 = 2*g. What is the remainder when g is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22264756?\nAnswer: 2, 61, 91249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 3*d + 1957, 0 = 3*m + d - 2919. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggaagagagaaa. What is prob of sequence ga?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 22359 - 22359 + 11*c**2. Let n(f) = 4*f. Determine w(n(u)).\nAnswer: 176*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8 - 6054*q + 6058*q)*(2 - 2 - q).\nAnswer: -4*q**2 + 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 34. Let p be (2\/(-4))\/(3\/j). Let z be (-11)\/p*(-1 + 2). Solve -b - 4*h - 34 = -z, -b - 3*h - 18 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576 = -35*t + 176 - 230 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204025869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/546*(-12)\/(-32). Which is the nearest to 3? (a) -0.4 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p - 9. Let r be m(7). Let a = r - 50. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18448597*c**3 - 14299*c**2 - 22*c wrt c?\nAnswer: -110691582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -15. Suppose -10 = 4*d + d, 3*h - 4*d - 11 = o. Put h, 4, 3 in descending order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177.5 - 191.5. What is the biggest value in l, -0.5, -2\/91?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6305 divided by 90\nAnswer: 1261\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 23. Give h(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:44 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*n - 5005327 = -5038627 for n.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-176) + 24\/11. Suppose -2*i = -0*i - 2*j, x*i - 3*j = 0. Suppose -2*u + 3 = -d, i*d + 9 = d + u. Solve d*f = 4*y + 27, -5*f = -2*y - 8 - 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9194 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1160\/(-16)*23\/805*14?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*i - 19 = 0, -4*v + i + 3*i = -4. Solve 6*g = v - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/4 - n**3\/2 + n**2\/2 - 10*n. What is the remainder when m(2) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 20 + -25 + 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 2*v. Let q be b(2). Let i = -183509 + 183512. Let 3\/2*u**2 - 3\/2*u**i + q*u + 0 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**7\/105 - 7*t**4\/6 + 5*t**2 + 22*t. Let s(m) be the first derivative of k(m). What is the second derivative of s(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372992585 divided by 188285?\nAnswer: -1981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**(1\/4))**(-48) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 960 = -5*c, -3*b + 3*c + 2861 = -c. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1103098*q**4 + 6*q**2 + 67577 wrt q?\nAnswer: 26474352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by (-7*(-4)\/(-12))\/((-3)\/153).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3858, 3931, 4022, 4137, 4282, 4463?\n\"Answer: t**3 + 3*t**2 + 57*t + 3797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Let j(z) = -3*z**2 - 92*z - 64. Let r be j(-30). What is the third biggest value in q, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from fqfkqqkvfkkqkkkkkk.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2\/7 + 2592*y\/7 + 419904\/7 = 0.\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 + -182. Solve s*g = 3*c - 12, 2*g - 1 = -7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from baiwraibiaeeaii.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -321*y**6\/40 + 163*y**3\/6 - y**2 + 718*y. Differentiate x(s) wrt s.\nAnswer: -2889*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13555661?\nAnswer: 7, 1936523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.416 - -2.4. Round w to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3063318 - -58547.2.\nAnswer: -3004770.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 377743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/28398 and 11\/332.\nAnswer: 4714068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -641, -1290, -1949, -2624, -3321, -4046, -4805?\n\"Answer: -z**3 + z**2 - 645*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28470*m + 10*m**2 + 28470*m.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 34 = -673*q + 670*q, 4*q - 31*d + 30 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 27?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796919953 plus -3?\nAnswer: 1796919950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 23*q**2 + 20*q - 32. Let v be f(-22). Solve v*d - 20 = 7*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -54. Which is the closest to 2? (a) -0.5 (b) 0.02 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 24 = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/132)\/((-760)\/(-3762)))\/((-36)\/(-15)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 68 = 4*z, 5*f = 8*f - z - 43. Suppose -22 = -4*u + x, -45 + f = -4*u - 3*x. Let k = u + -5. Which is smaller: k or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.2 + -19. What is the closest to 0.1 in 18, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16079 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78956567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-78)\/21)\/(12\/(-168)). Let u = -202 - -196. Put y, u, 0.3 in descending order.\nAnswer: y, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9962 is divided by 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 5, 0, -5, -3, 3, -2 in increasing order.\nAnswer: -5, -3, -2, 0, 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-198)\/72 + 56 + 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - 2)*(0 + 0 + y + (-1 + 5 - 3)*(2 - 2 - 2*y) - y + 2*y + 3*y + 100*y - 3336 + 3336) to the form o*y + v and give o.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 2. Let y(z) = 17*z + 15. Let p(r) = 4*o(r) - y(r). What is p(8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*m + 210. Suppose -2*y - 27 = -37. What are the prime factors of 9\/(-15) + m\/y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 144. Suppose 15 + 0 = 3*z. Suppose 0 = z*w - 0*w - 95. Calculate the remainder when p is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893601?\nAnswer: 3, 99289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c - 1737*c**2 + 7824*c**2 + 43*c - 23*c to z*c**2 + g + q*c and give z.\nAnswer: 6087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22553128 by 5861.\nAnswer: -3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/49*6\/36*-3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184433 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 651?\nAnswer: 651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*g + 4*g = -57600008, 96000006 = 5*f - 3*g. Round f to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-15)*(-545)\/1308.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f - 2. Suppose 5*x - 13*n + 14*n - 57 = 0, 0 = 3*x + 5*n - 43. Suppose x*b = -60 + 863. What is the remainder when b is divided by m(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 20.2. Let v = t - 2.174. Round v to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 0, 2*w - 4*a = -a - 6. Suppose 9*p - 1259 - 3097 = w. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 3*j + 9. Let s be (j - 2)\/(-3*(-5)\/(-15)). Put 6, -2, s, 1 in decreasing order.\nAnswer: 6, s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 25\/72?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895797628?\nAnswer: 2, 11, 47, 71, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10538884 or -10538880?\nAnswer: -10538884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -7. Let t(u) = u**2 - 4*u - 2. Let c be t(l). Suppose 5*f = c*w + 28, w - 3*f + 5*f = 9. What is the nearest to w in -3, -4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 + -17 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 1626276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6109 and 4768.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**7\/14 - i**5\/60 + 4*i**2. What is the third derivative of g(q) wrt q?\nAnswer: 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885183 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3 - r + r - r. Let v be o(4). Let u(c) be the first derivative of c**3\/3 + c**2\/2 + c - 59. Let k(a) = -a**2 + a + 1. Determine v*k(i) + u(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1863*v**3 - 4*v**2 - 9. Let g(z) = 466*z**3 + z**2 + 2. Let u(l) = 9*g(l) + 2*y(l). Is u(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*f**2 + 180*d**3 + f**2 + 34*f wrt f.\nAnswer: -2*d**3*f + 2*f + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*m - 18 = 0, 2*y - 4*m + 12 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95380 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 588 + -2363\/4. Which is greater: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16863 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 17*o**3\/3 + 11*o**2\/2 - 1. Let v(m) = 6*m**2 + 4*m. Give 4*d(y) - 11*v(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28*(240\/12)\/(-80)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*u - 37 = -16, -614*b + 6*u - 3*u = -2226 - 1449 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*k = 2 - 7, -4*h = -k - 25. Let g(j) = -j**2 + 6*j - 3. Let f be g(h). Do f and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176*n**4 + 89.\nAnswer: -704*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2, 0*x - 2*x - 4*m = 8. Is 1 - x*2*12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35424 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9629, -19255, -28881, -38507, -48133?\nAnswer: -57759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 87.6. Which is the nearest to -3? (a) 3 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d5 (base 14) in base 16?\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 7. Let c = 19 - r. Let q = -111 + 171. Calculate the highest common factor of c and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4840\/140*(-6496)\/10208?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908 plus -18903198?\nAnswer: -18900290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/1246 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 46*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/336 + 355\/(-1140).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09720399 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.5 - 3. Let t = -0.157 + -3.843. Sort 1\/5, a, t.\nAnswer: t, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = -3*o + 61, -10*o + 6*o + 2*z = 26 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**2 + 13*d + 37. Is a(30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from yiyiiiiiigiiyii?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:51 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6085641*3.\nAnswer: -18256923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5684453 is divided by 672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s - 3. Let k be t(-3). Let w be ((-4)\/6)\/((-4)\/k). What is w rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ea60 (base 15) in base 16?\nAnswer: 7b57f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1557 * -6196.\nAnswer: -9647172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(12\/(-126)*-21 + -1 + -2). Solve g = 8*j + 41 - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 3*p - 15. Let h(g) = 3*g**2 - g - 8. Let l(b) = -b**3 + b**2 + b + 4. Let i be l(0). Let t(n) = i*c(n) - 7*h(n). Give t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.1 + 13.1. Sort -12, y, 2, -0.5 in decreasing order.\nAnswer: 2, y, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 39. Let d = 9 + -7. Suppose -i = 2*y - d*i - 11, -i - 32 = -p*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -684 by 6.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3 - 7312785*q**2 + 7312788*q = 0. What is q?\nAnswer: -2437596, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millisecond in microseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1002102 (base 4) to base 10\nAnswer: -4242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = b + 4*p + 4, 0 = -3*b - p + 12. Suppose -28 = -4*x + 104. Suppose o + x = w + b, -o = 3. Calculate the remainder when 99 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 12*p + 1. Let j be k(-12). Suppose j = 3*d - 11. Solve 0 = 2*v - d - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xehwhhhxh. Give prob of sequence wxxh.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v**2 + 36*v**3 + 27\/4*v**5 + 0 - 27*v**4 + 4*v = 0. What is v?\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14*m + 19. Let s(a) = a. Let z(i) = 6*s(i) - v(i). What is the derivative of z(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 166*m - 22*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:46 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by (-88)\/(-32) - (-3)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 2*y**2 - 81596*y - 571197. Give k(-7).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*m - 4*b - 20, 3*m + 5*b + 32 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f**2 - 13*f + 15. Let m be s(3). Suppose 0 = -6*t - 30 + m. What is the remainder when (-549)\/(-12) + 2\/8 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o + 9955 = -44*o + 174*o for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.52 - 0.42. Let g = -80 - -878\/11. Which is the smallest value? (a) g (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 288 = 160. Let l = -41 + i. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32 + 75.5.\nAnswer: 75.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 534, 799, 1064, 1329, 1594?\nAnswer: 1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 323.8718 nanograms?\nAnswer: 0.0000000000003238718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55245 - 33873. What is the hundreds digit of 8\/44 - f\/(-66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 8*x**2 - 8*x + 9. Let v be j(7). Suppose -9 = -v*q + q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145315033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -369, -13, 957, 2847, 5963, 10611, 17097?\n\"Answer: 51*p**3 + p**2 - 4*p - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:51 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**2 - 60910*b - 16546560 = 0.\nAnswer: -11904, -278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -10, 6 in descending order.\nAnswer: 6, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 9. Let b be m(12). Let k = b + 65. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*d**3 + 25*d**3 + 58*d**3)*(-1 - 3 + 5).\nAnswer: 57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117269929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116 + 116 + 5*g**4)*(-g + 0*g + 4 - 2 - g + 8*g + 0*g + (g + 5*g - 4*g)*(-1 + 1 - 1) - 2*g + 0*g + 0*g).\nAnswer: 10*g**5 + 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y - 5. Let k(f) = 4*f - 2. Give 5*k(a) - 3*q(a).\nAnswer: -a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -19. Let r = h + -9. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*p - 5647 + 9953 - 33559 = 0 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-185)\/(-555))\/((-5)\/201) - -16.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 187\/(-33)*3*1. Let m = w + 20. Solve -m*z + 1 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v - 1. Let q be f(0). Let u be (5\/q)\/(-2 - -1). Let x be (-1)\/((-4)\/4)*u. Is x greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1341122 - -3?\nAnswer: 1341130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59518415*b**2*f*g + b**2*f + b*f*g - 1259*b*f + 6*b*g - b + f*g + 5*f - 1 wrt b.\nAnswer: 119036830*f*g + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 128*j - 803. What is b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 81 * -8\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**4 - m**2 + 4*m - 13. Let z(j) = 3*j**4 - 2*j**2 + 10*j - 26. Let i(l) = -5*n(l) + 2*z(l). Differentiate i(r) with respect to r.\nAnswer: -16*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 32 = 4*g + 5*u, -3*u = -2*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + -142. Let m(y) = y**3 - 15*y + h + 126*y**2 - 139*y**2 + 2. Give m(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2.07. Let m = -0.57 + l. Which is the second smallest value? (a) m (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*i = 22 - 17, 10 = 2*h - i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -168 + d203?\nAnswer: d08a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -375e?\nAnswer: -375e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 + -211. What is the derivative of 61 - k*m - 63 - 29*m + 121 wrt m?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 - 197. Suppose 7 = p - m + a*m, 5*p - 21 = 2*m. Solve 5*n + 0 = -p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31682196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -24*u**3 + 2421*u**2 + 299*u + 887. What is d(101)?\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 923 - 847. Suppose -s = 4*a - 13 - 30, -2*s - 4*a + 82 = 0. What is the remainder when p is divided by s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12197605.3 - -12197599.90000062. Let f = -4.6 - 0.8. Let h = f - y. What is h rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.915708 to two dps.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 9*c + 84 = 0. Let u be 196\/91 + -2 - c\/13. Let z(l) = 2*l. Calculate z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1476\/(5 + -11) - (-2 + 2). Calculate the remainder when 99 is divided by r\/(-24) + (-1)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2365795, -4731602, -7097409?\n\"Answer: -2365807*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 4*u**2 + 8*u - 6. Calculate d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16488.7949 + 16492. Let h = f - -0.7339. Let v = 0.061 + h. Put v, 0.2, 0.5 in increasing order.\nAnswer: 0.2, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -116, -125, -134?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8 - o**2 + 0*o**2 - 4*o - 8*o. Let v be g(-12). Is (-8)\/(-3)*12\/v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 + 550 - 10 = -128*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b. Suppose 2*q + b*n - 4 = n, 12 = 2*q + 3*n. Suppose -q*z = -7*z - 4. Which is bigger: z or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(195)\/sqrt(20))\/(sqrt(147) - -2*sqrt(147) - sqrt(3)))**2 + -4)*3.\nAnswer: -19161\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Suppose -2*h + 5*h = 12. Solve h = 4*d - 4*y, -4*d + c = -6*d + y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24330?\nAnswer: 2, 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 7:17 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -68, 133, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4, 328 in decreasing order.\nAnswer: 328, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = 0, -4*r - 60 = -3*i + 26. Solve -26*n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 2*j. Let t(y) be the second derivative of -y**4\/12 + 35*y**2\/2 - 13*y. Let g(b) be the first derivative of t(b). Calculate x(g(o)).\nAnswer: -8*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 390861*j**2*q**3 + 15*j**2*q**2 + 3*j**2*q + 159*j**2 + j*q**2 + 3*q wrt q?\nAnswer: 2345166*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1524709 not equal to -16771792\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 36, 0.3, 2, -3, -0.3, -0.5, -864?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d - 10. Let f be 0 - (40*-1)\/2. Suppose -11 = -3*j - f. Put 2, d, j in increasing order.\nAnswer: j, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(85\/15))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -42. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 2\/91, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3214186 to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*755.\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c - 2. Let m be n(-3). Let p = m - 26. Suppose p*w + 4*w - 636 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1932?\nAnswer: -192a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58 + 173*y - 59 - 60 + 182)*(4 - 6 + 0) to j*y + b and give j.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/3 + 61880*c**2\/3 - 1978624*c\/3 + 15824896\/3 = 0.\nAnswer: 16, 30908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54, -18, -88, -156, -222, -286, -348?\n\"Answer: o**2 - 75*o + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 713216 and 168?\nAnswer: 2139648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/264, 3\/2, -1, 1, 5.07?\nAnswer: 5.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, -30, -129, -284, -501, -786?\n\"Answer: -f**3 - 19*f**2 + 15*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/4))**(4\/23)\/(q**(1\/4)\/((q*q**6)\/q*q)) assuming q is positive.\nAnswer: q**(633\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.73 + -19.93. Which is the biggest value? (a) p (b) -1\/6 (c) -4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(68)*-5 + -1.\nAnswer: -1 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/13279848 and -59\/64.\nAnswer: 106238784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 11*m - 4. Let f be a(-8). Suppose 0 = 5*x - f, b - 6 - 24 = 3*x. Let w = b - 33. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2317.95432us to days.\nAnswer: 0.000000026828175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2793 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -391754*x**4 + 516980.\nAnswer: -1567016*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1475 and 20827.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 14. Let l be x(-3). Let b be (1 - (-3)\/l) + 13 + 2. Let r(a) = 13 - b + 32*a**2 - 31*a**2. Let j(n) = -n + 8. What is r(j(z))?\nAnswer: z**2 - 16*z + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 11*s**2 + 14*s + 6. Let a(n) = n**3 + 12*n**2 + 15*n + 6. Let h(r) = 3*a(r) - 4*w(r). What is the lowest common multiple of 22 and h(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxpin. Give prob of sequence xn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 1, h: 14}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + (-14)\/(-15). Let k = 50 + -50. Let a be (-11)\/(-4) + (-1)\/(-4). What is the closest to 0 in k, q, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:16 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -122*s**3 + 3293*s**2 + 31*s - 101. Calculate o(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 20421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*m - 3 - 3, 5*r - 4*m - 12 = 0. Suppose r*s = -5*s - 5*l + 90, -5*s + 108 = -4*l. Does 3 divide -2*1 - s\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (7 + -3 + -7 + -2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200424684 - 39*c + 600212338 + 600212347.\nAnswer: -39*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1368 and 25\/836.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 2*b**7\/105 + 2*b**6\/15 + b**5\/5 - 2*b**4\/3 - 8*b**3\/3 + 2*b**2 + 7*b. Factor o(n).\nAnswer: 4*(n - 1)*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1085)\/15 - 2\/(-6). Let b be ((-16)\/m)\/(1\/(-3)). Sort -1\/3, 1, b in decreasing order.\nAnswer: 1, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1391*t + 2 + 19 - 20 in the form p*t + v and give p.\nAnswer: 1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11739132 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60121 is divided by 60104?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 98*g - 386. Let z be m(-54). Sort 3, -9, z in descending order.\nAnswer: z, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 106, 16 in increasing order.\nAnswer: 5, 16, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10197 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 - -162. Suppose d = -w*d - i + 14, -i = -4*d + 61. Let g(h) = -45*h. Let m be g(-1). What is the greatest common factor of m and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 14*i**2 - 24*i - 136. Determine s(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by -1708848?\nAnswer: -71\/1708848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1606 (base 12) to base 10\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.031*-1.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 111820.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10039 (b) -2 (c) 1\/3 (d) -3\/11 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -183\/16, 3, -31\/5, 0.5, -7.\nAnswer: -183\/16, -7, -31\/5, -4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2059.34 to the nearest 10.\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -1. Is u\/(-9) - (-214)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.54221 - -2.14221. Let a(y) = y**3 + 7*y**2 + 4*y - 6. Let d be a(-6). Let m be -1 + 2\/d*2. What is the second biggest value in s, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 2*m - 4. Let f(o) = 2*o**2 + 3*o + 5. Let z(k) = -4*k + 1. Let a be z(-5). Let b = 14 - a. Let q = b - -4. Give q*f(u) - 4*y(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78)\/26*7609\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2274932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 25 = 3*l. Suppose 3*h + 12 = 5*x, -2*h - 3*h = -l. What is the nearest to x in 0.7, -1\/8, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 5)*1\/4. Let d be w*3 - 32\/8. Is d > -2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -852.1 - -852. Let x = -0.15 - -0.75. Which is the third smallest value? (a) x (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -4\/7 (c) -280\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 10:56 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 43. Solve 27 = 5*d + 4*r - 5*r, 4*d + w*r = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -6)*6\/4. Suppose 1 = 3*x + 4*p, -3*p - a = 3*x - 0. Let y(f) = -7*f. What are the prime factors of y(x)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/13 and 10\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6 - 0) + (-58 + 16 - -29)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64126, 127572, 191018, 254464?\nAnswer: 317910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154542035239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 487 in -1, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*12*6\/9. Let k = o - 6. Suppose -5*y = -18 - k. What is the smallest common multiple of 22 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1448753ml to litres.\nAnswer: 0.0001448753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -797*j - 10980 = -803*j. What are the prime factors of j?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337?\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p - 4. Let s(x) = 7*x**2 + 1. Let l be s(-1). Calculate the remainder when (-1*26\/6)\/((-38)\/1140) is divided by r(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -449787.78 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -11014.73494 to one decimal place.\nAnswer: -11014.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202348576*n**3 + 217614548*n?\nAnswer: 1214091456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19990 - 3648. What are the prime factors of w\/(-22) + (-12)\/(-22)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 25*p**5\/4 - 175*p**4\/12 + 55*p**3\/6 - 5*p**2\/2 + 15*p + 3. Let r(f) be the first derivative of h(f). Factor r(w).\nAnswer: 5*(w - 1)*(5*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:01 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 13, 20, 29, 40?\n\"Answer: q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 + 2 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(65)\/sqrt(180))**2 + -4*3*sqrt(1053))*2.\nAnswer: -216*sqrt(13) - 131\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1206\/2010)\/(6\/200)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112559487 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 1. Let s be z(-1). Suppose 0 = -5*i - 2*c + 12, -4*c + s = -2. Suppose 0 = -i*o + 5*o + 3*k - 9, k + 17 = 3*o. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5 - 46686*p**4 + 242191386*p**3 - 418910087232*p**2 + 417215354283*p + 2512009335654 = 0. What is p?\nAnswer: -2, 3, 5187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-21))\/(1388\/4858)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 13011?\nAnswer: 13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 g when four letters picked without replacement from sddgggeddmdsdd?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -69*a + 282. Determine o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12)*-28 - 38?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26861266?\nAnswer: 2, 13430633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15416843, -15416846, -15416849?\nAnswer: -15416852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(79*h + 14*h - 23 - 119*h).\nAnswer: -52*h - 46","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179218 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 7*o**4\/24 - 7*o**3\/6 + 6*o**2. Let k be r(7). What is the tens digit of 4\/14 + 1038\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + 24\/16. Sort -27, -5, u, -2.\nAnswer: -27, -5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 596. Calculate the greatest common factor of h and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2. Let l(r) = 3293*r. What is l(k(d))?\nAnswer: -9879*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1310 or -1312?\nAnswer: -1310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 15*n + 24 = 0. Solve -4*l + n*h + 16 = -0*l, -h + 20 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 12. Let g = -33 - q. Calculate the smallest common multiple of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 4753?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/8 + 1637*t**4\/8 + 665839*t**3\/8 - 3357073*t**2\/8 + 673220*t - 674041\/2 = 0.\nAnswer: -821, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1882 + 1872.32. Round p to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -350, 14\/3, 0.01, -0.1?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 9 = 2*p, h - 4*h = -3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 9, w: 1, i: 6}. What is prob of sequence cdw?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 285*x**2 - 38*x. Suppose -u = -5*r - 16, 10*r - 2*u = 7*r - 11. Let i(m) = -22*m**2 + 3*m. Calculate r*b(y) - 38*i(y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42417 to two decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(2 - 1\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 + -183. Let b(w) = w**3 + 4*w**2 - 6*w - 6. Calculate b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480.825 millimeters in micrometers?\nAnswer: 2480825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094.2411 rounded to the nearest 10?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 9. Let c = -181 - -173. Is p at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6873775 and -104.\nAnswer: 714872600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*v + 22. Is (-10)\/(-2) - v - -137 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-920)\/30)\/(13\/156). Which is the third biggest value? (a) k (b) 0.4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*((i\/(i\/i**(1\/35)))\/i)\/i))\/i)\/i**(-22))**(-2\/5) assuming i is positive.\nAnswer: i**(-1538\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*w**5 - 182267*w**4 - 81305389*w wrt w?\nAnswer: -900*w**3 - 2187204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 386 - 386. Let t(o) = -4*o**2. What is a(t(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:57 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let f be o(1). Suppose -72 = -f*a - a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492608491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*d - 130, -2*c - 2*d = -5*c + 81. Let u = c - 21. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h - 429 = 0. Is h equal to 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1021440 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 10 = 0, -2*k - 1 = -v + 6. Let h be 0 + -1 + v + (-96)\/42. Let o = 3 - 8. What is the smallest value in -0.5, o, 4, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffoefeffpuofo. What is prob of sequence oo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -16*f**2 + 1234*f + 10776. Give h(-8).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 3)**2 + 2 - (sqrt(108) - (0 + sqrt(108) + -3)))*5.\nAnswer: 180*sqrt(3) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 84*h**3 - 595*h**2 - 216*h + 1870. Determine l(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 261, 479, 697, 915?\n\"Answer: 218*k - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*x**4 + x - 6*x**2 + 31*x**4 - x wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -16*r - 39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.8 rounded to 0 decimal places?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39305424223 - 39305424223 - 163*x - 386*x.\nAnswer: -549*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + j. Let u be s(0). Suppose -3*i = -u*x + 3*x - 90, -12 = -x + 5*i. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.91 + -0.01. Let k = m + -1.3. What is the third biggest value in -2, -1, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/60)\/((-3)\/(-18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2088)\/(-3))\/3 + (28 - 22) and 153?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {d: 4, t: 1, s: 1, o: 2, a: 5, l: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 - 48*j - 70*j + 3*j + 240 + 60 = 0. What is j?\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2507, -7965, -16317, -27557, -41679?\n\"Answer: f**3 - 1453*f**2 - 1106*f + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26 - 87) + 39 - (-1 + -1)) + -11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**2 + 0*p**2 + 0*p**2)*(-5*p**2 + 7*p - 7*p) + 2*p**2 - 2*p**2 - 2*p**4 + p - 4*p**4 + p + p**4 to r + i*p**4 + f*p**3 + s*p**2 + z*p and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 280\/((0 + 2)\/(-20)). What is y rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8*j + 0*j - 4*j)*(4*j - 3*j - 3*j)*(2 + 2 + 5) + (-1 + 1 - j)*(13 - 13 + 9*j))*(0*j**2 + j**2 + 2*j**2).\nAnswer: -243*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 2081734?\nAnswer: 15\/2081734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 78. Let x be l(0). Let g be (x\/(-15))\/((-6)\/(-15)). Solve 0 = 3*v + g + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101011 - 10?\nAnswer: -10101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12602, 2, -83, 4, -1 in descending order.\nAnswer: 12602, 4, 2, -1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.881756 rounded to 3 decimal places?\nAnswer: -0.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.465 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0\/(-2 + 5). Let u(s) = -s + 1. Let c be u(k). Suppose -j - j + 8 = 0, -4*a + j + 132 = c. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -1\/48 (c) 1.643 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6631\/8 + 835. What is the common denominator of (54\/(-12))\/((-11)\/10) and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 4 (b) 355 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 14 - (2 + -79 + 87)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18290\/(-930) - (-21 - 0). Let q(l) be the third derivative of 0*l + 0 - 5*l**2 + s*l**4 - 16\/3*l**3. What is the derivative of q(o) wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169.7 * -2.\nAnswer: -339.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5\/2, 3\/7 in increasing order.\nAnswer: -5\/2, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -35\/4. Let g = 0.77 - -53.93. Let p = g + -55. What is the biggest value in w, 1, 2\/3, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 c when three letters picked without replacement from {f: 2, c: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 + 2*t + 2. Let u be j(0). Suppose -5*s - b + 45 = 0, -4*s + b + 55 = -u*b. Calculate the remainder when 57 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13950 - 9600. Calculate the highest common divisor of s and 180.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 - 2*v**3 - v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.03, 1, -0.1, 3 in increasing order.\nAnswer: -0.1, 0.03, 0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 23489473?\nAnswer: 23489471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 + 2 = 0. Let p(o) = -o**3 + o**2 + o. Let j(a) = -a**3 - 4*a**2 + 3. Let x(s) = j(s) - 2*p(s). Give x(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 4, 18 in increasing order.\nAnswer: -3, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13*n + 216 = 18*n, 2*n - 408 = -2*u. What is the highest common divisor of u and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78220.02 weeks in minutes?\nAnswer: 788457801.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270534311.\nAnswer: 17, 137, 116159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3730, 7, -2.\nAnswer: -3730, -8, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 361 + -361. Factor 0*c**4 - 3\/4*c**3 + y + 1\/2*c**2 + 1\/4*c**5 + 0*c.\nAnswer: c**2*(c - 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132\/2*-1 + 2. Let c = t + 66. Find the third derivative of -17*p**4 + 11*p**2 - 4*p**c + 13*p**2 wrt p.\nAnswer: -408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27022.182 rounded to the nearest 10?\nAnswer: -27020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + (-3450)\/10368. Let j = -32545\/1728 + y. Calculate the common denominator of j and 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 817 = 4*t + 793. What is the least common multiple of 132 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*t = -16, k - 2 = 1488*t - 1483*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(82\/(-287))\/((-3)\/35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -51700.\nAnswer: 1\/5170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = 6*a. What is the first derivative of -a*i**2 - 1 - 2 + 6 wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -1.2. Suppose -o + 2*o + 626 = 3*i, 2*i - 429 = 3*o. Let k = i - 3935\/19. Which is the second smallest value? (a) n (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8*168\/126)\/(1\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 1\/672*m**8 + 1\/30*m**6 + 0*m**3 - 3\/16*m**4 - 5*m**2 - 1\/20*m**5 + 0*m + 0 + 1\/70*m**7. Determine o, given that y(o) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-6))\/l)\/l*l*l*l*l**(-2\/7)*l*l*l**6*l**(-2\/25) assuming l is positive.\nAnswer: l**(811\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 7*x - 480. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19509, 194, 0 in increasing order.\nAnswer: -1, 0, 194, 19509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413539773.\nAnswer: 3, 17, 2693, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*g - 54 + 36 = 0, -2*g + 12 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -550*t. Let y(r) = 712472*r**2. Give o(y(f)).\nAnswer: -391859600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 12. Let b(n) be the second derivative of n**4\/12 - 2*n**3\/3 - 7*n**2\/2 + 4*n. Let v be b(d). Solve v*g = -3*i + 13, -3*i + g - 7 = -8*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29669469 to the power of 1\/2, to the nearest integer?\nAnswer: 5447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 12*o - 9*o - 7*o - 134 = -26*o, 4*p - o = -61 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 + -135. Suppose i*y = 5*y + 3934. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrwwrrrwwrrrrw. What is prob of picking 2 w and 2 r?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6406*p**3 - 2*p + 4. Let s(i) = -71811260*i**3 - 22421*i + 44842. Determine 67263*r(f) - 6*s(f).\nAnswer: -19218*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 11*b**2 - 7*b - 14 + 8*b**2. Let v be u(11). Let l = v + 93. List the prime factors of l.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028 times 173?\nAnswer: 0.4844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 836*i**6 + 73*i**2 - 3*i wrt i?\nAnswer: 100320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f - 2. Let m be u(-2). Let z = 37 - m. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 29. Solve 2*f - m = -2*n, 2*n + 2*f = -3*f + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/51070110 and 31\/2100?\nAnswer: 510701100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = -4*k. Suppose -k*d = 2*d - 160. Suppose 8 = -i + d. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 134*y - 130*y, 5*y - 25 = m. Put -2, -13, m in decreasing order.\nAnswer: m, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -34*x - 1. Let z be 0 + 9\/(-3) - -2. Let b be m(z). Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 5*d + 6. Let q(l) = -1. Give -6*q(p) - s(p).\nAnswer: 2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 10, e: 2, u: 1, g: 1}. What is prob of sequence zg?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5 - 70942*v**4 - 1418238*v**3 - 7019258*v**2 + 1418240*v + 7090200 = 0.\nAnswer: -35451, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/2 - 162*o**4 + 17463*o**3 - 636758*o**2 + 2443545*o\/2 - 602316 = 0. Calculate o.\nAnswer: 1, 88, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5548 and 1168?\nAnswer: 22192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*v - 2*v - 20668, 4*a - 4*v = 82752. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/143 - (-4902)\/22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 - 26133016?\nAnswer: -26133074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)\/(1*-1*sqrt(7)))\/(-2*(sqrt(21)\/sqrt(3) + sqrt(7))*-5))**2.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 5*r - 3. Let g be f(-3). Suppose -3*i - g = -21. Let z = i + 0. Solve 0*t = 3*t - z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c8431 (base 16) to base 15\nAnswer: 26daee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48938170?\nAnswer: 2, 5, 71, 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 125*p**2 + 13*p + 385. Is s(63) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 1:01 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29078 (base 15) to base 12\nAnswer: 642a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 15. Suppose -4*f - 4 = v + 3*v, -2*f = 3*v. Suppose -v = -5*s + 8. Calculate the lowest common multiple of z and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13524 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:07 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 0 + 6*d - d + 2. Let c(u) = -2*u + 1. Let y(z) = 14*z - 1. Let p(n) = -4*c(n) - y(n). Determine 2*p(h) + 3*w(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h - 1. Let d(t) = 0*t + 4*t**2 - t + 3*t**2 - 9 - t**2. Let r(p) = -d(p) + 5*g(p). Let f(x) = 3*x**2 + 9*x - 9. What is 4*f(s) + 9*r(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219456 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 14*h - 25. Give g(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q**(-6\/5))\/(q**(-4\/13)*q**(-17)\/q) assuming q is positive.\nAnswer: q**(1827\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 2. Calculate the remainder when 27 is divided by o(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121987 is divided by 60954?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -350 - 400 + 687 - l**2 - 2*l**2 + 4*l**2 - 3*l to the form g + i*l**2 + m*l and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1532846515 + 4.\nAnswer: 1532846519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9*t = 50. Let q be t\/(-22)*(-12)\/(-30). What is the biggest value in q, 7\/2, 1\/6?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/2 - 17*q**2\/2 - 40*q - 32 = 0?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 835 - 1425. Let v = 585 + u. Put -4, 52, v in decreasing order.\nAnswer: 52, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/(3\/(-90)). Let d be -15*(-6)\/27*l. Let g = -13 + 23. What is the greatest common factor of d and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*92\/(-6)*(-6)\/4 is divided by (48\/(-10))\/(3\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 14*f + 48. Let h be (-2)\/f + (-24)\/(-9) + 2. Solve d = -2*y + 6, -d - h*y + 34 = 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 5)*(-s**4 - s**4 + 10*s**4) + (4*s**2 - 4*s**2 - 3*s**3)*(-7*s + 2*s + s) as v + t*s + z*s**2 + i*s**4 + j*s**3 and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -27.1, 6, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*w + 190, 175 = -5*w - 5*t - 100. Let z = w - -58. Let v(m) = -21*m - 10. What is the units digit of v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = b - 3, 2*b - 5*q = -16. Let w(x) = 4*x - 2. Let l(h) = -3*h + 1. Let p(k) = -k**2 - k + 4. Let f be p(2). Determine b*l(n) + f*w(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181078828?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34051692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**15*k*k**(1\/17)*k*(k*k*k\/(k*k**(6\/11)*k)*k)\/(k\/k**(-1\/4)))**(-48))**(-7\/6) assuming k is positive.\nAnswer: k**(180782\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from svvrvvvvyvvvsvssr?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 30880.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012 (base 5) to base 13.\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*n + 2 + 7 = 0, -4*j - 3*n = -3. Differentiate -8*w**3 - 7*w**3 + 17 - 3*w**j with respect to w.\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from stxssxsbxsl.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*x - 39. Let a = -10 - x. Solve s + 5 = 0, -18 = a*g + g + 2*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -3. Let v be 2\/(-8) - 50\/f. Suppose -13*j + 3*j + 3 = 3. Solve -2*p - 5*t + 3 = j, v*p - p = 2*t + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 26. Suppose -5*q - 6*q + 2002 = y. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9\/92, -5.\nAnswer: -5, -0.1, 9\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10111223 - -11220?\nAnswer: -10100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 11*h + 5. Let w be a(-11). Solve w*p - 12 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:37 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5*f + 6*f)*(-7 + 2*f + 7)*(-2 + 5 - 5)*(-10*f - 13*f + 7*f)*(3 - 7 + 2).\nAnswer: -1024*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 16*q**2 - 412*q - 728.\nAnswer: 4*(q - 13)*(q + 2)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 188*n = -189*n + 5, 3 = p + 2*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 445*l - 3. Is j(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 28*d + 25. Let o be -2 + (-4 - (-3 - 1)). Let f be -5*(-4)\/(-10)*3\/o. Is x(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33508 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o - 34. Let y(w) = -7*w + 34. What is 3*k(q) + 4*y(q)?\nAnswer: -q + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*k + 66 = 0, 2*u - 5*k = u + 9. Suppose c - 31 - u = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 2 = -7*b. Let v(q) = -2*q**2 + 5 - 3 + q**3 - 2*q**2 - q. What is v(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1233 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3962 + -3949. What is the fourth biggest value in -90, x, 2\/13, 0.3, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*r = 9, -6*r = 3*w - 4*r + 6. Suppose k = -5*h, w = -0*k - 4*k. Solve -2*l = 3*q - 2, h = -q - 3*l + 2 + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1762 + -853. Suppose d = 4*j - 0 + 4, -5*d = 2*j - 20. Suppose j = 5*t + 4*b - c, 0 = -2*t + b + 300 + 74. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*u + 12 = 0, 2*l + u = -2*u + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/44 + 1\/22. Suppose -6 + 15 + 15 = -6*u. Which is the closest to -0.1? (a) -2\/11 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 90*i**2 - 8*i + 8. Let s be h(3). Suppose u - 857 = s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*g + 278, 5*g = 18*r - 16*r + 472. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11320?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3431.241ml?\nAnswer: 3.431241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-658)\/(-98) + ((-48)\/(-21) - 2). Calculate the remainder when 21 is divided by (-1 - 4) + 182\/h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2395 is divided by 1030?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -226.49.\nAnswer: 67.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13008.31 to the nearest one hundred.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + -14 - -6) + 23\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -5*h. Suppose -9*r = -24 - 39. Solve -h = -2*x - 3*m, x - 3*x - 5*m = -r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 1, k: 3, f: 1}. Give prob of picking 1 k, 1 t, and 1 f.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*v = 146*v - 344 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (176\/3)\/(34\/969)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2397*l**2. Let r(c) be the first derivative of -2*c**3\/3 + 126. What is a(r(n))?\nAnswer: -9588*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) -4 (c) -56 (d) 216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.456 + -0.556. Let w be 2 - -1 - 13\/4. Which is the nearest to s? (a) w (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*w + 7 = 0, -4*w = 5*h - 0*w - 14. Let c be 6\/(-3) + 58 + 0. Let d = c - h. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1913.3367 milliseconds?\nAnswer: 0.031888945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-16 + 9 - -10 - (2 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*f = -31*f + 107*f + 124. Suppose 21*n**f - 13\/2*n**3 + 29\/4 - 1\/4*n**4 - 43\/2*n = 0. Calculate n.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 3*j + 3. Let r be (-1 - 0)*(-10)\/2. Suppose 4*q = q + r*l - 4, 2*q - 4*l = -2. Let y be k(q). Is -3 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 0*x**3 + 2*x**3 + (-x**2 + 0*x**2 + 2*x**2)*(3*x - 4*x + 0*x) + 7*x**3 - 14*x**3 - 3*x**3 - x - 3*x**3 + x + 0*x**3 - 2*x**3 + 3*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - c - 2*c + 292, 5*q = -c + 376. Let w(r) = 249*r + 12746. Let m be w(-46). Calculate the highest common divisor of q and m.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/75)\/((-74)\/20).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 25742 = u + 8134, 70444 = 4*u + 2*o. List the prime factors of u.\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by -54?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 27 - 27 - (0 - (-1 - -12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 2\/11 (c) 442 (d) -15\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*p - 6, -5*f - 3*p - 2*p = 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 514, 796, 1188, 1726, 2446, 3384, 4576?\nAnswer: 6058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty-two sevenths of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -23471*d + 4790. Let u(v) = 20*v - 5. Calculate f(q) + 958*u(q).\nAnswer: -4311*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 - 2*z**2 + 5. Let y be n(2). Let l(m) = -m - 2*m + 12 + 0 - 2. Let o be l(-6). Are y and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1374*z + 1 + 974*z**2 - 187*z**2 + 2692*z - 1313*z + 1 as t + o*z**2 + n*z and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65655, -65662, -65675, -65694, -65719, -65750?\nAnswer: -65787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {g: 4, t: 13, s: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 5*o**8\/336 - 53*o**7\/6 + 123*o**6\/4 + o**5\/6 - 3695*o**4\/24 + 615*o**3\/2 - 5315*o**2. Factor k(z).\nAnswer: 5*(z - 369)*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u. Suppose 18*z - 1109 + 965 = 0. Let r be (-1)\/(-1*(-1)\/(-3)). Solve u = r*l - 7*l + z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -1644\nAnswer: -7\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(3 + 27\/(-6)). Suppose 2*l - 5 + 3 = -2*p, 0 = -4*p + a*l + 12. Find the second derivative of -3*v - 3*v + v**p + 5*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -34*i + 77. Let k(h) = 18*h - 38. Give -11*k(s) - 6*z(s).\nAnswer: 6*s - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*l - 3 - 1, 5*p - 20 = -5*l. Suppose 1 = -p*j + 9. Suppose m + 5*m**2 - 3*m**3 - 3*m**j - 10*m - 11*m**2 - 3 = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -967*o**2. Let q(u) = 79*u - 111*u + 32*u + 2*u**2. Determine q(g(k)).\nAnswer: 1870178*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/13, 3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020101022200 - 1120122?\nAnswer: 1020022202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 28*c**3 - 131*c**2 - 29*c - 68. Determine i(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 - 4.607. Round o to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 13207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21851242 and 1106.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-9))\/(-3 + 3470\/1155). Calculate the remainder when (-6 - b\/(-49)) + (-19396)\/(-28) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, d: 1, g: 1, h: 1}. Give prob of sequence gm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733668 is divided by 180?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 210*g**2 - 837\/2*g - 1\/2*g**3 + 209.\nAnswer: -(g - 418)*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 2*b**3 - 11 - 17*b + 22*b - 5*b**3. What is the first derivative of c(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/34245?\nAnswer: -4\/34245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -9)*15\/25 + (-136)\/60?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riixrwxixiiiixix. What is prob of sequence wrxr?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 929251526 a multiple of 1057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4894*m + 254013 = 1253*m - 91912 - 188864 for m.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*a + 1802, 2*t - 902 = -14*a + 17*a. What is the highest common divisor of t and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399491 is divided by 15379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*1*sqrt(17).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 17 - 8*c**3 - 17 to the form q*c**2 + g*c**3 + l*c + a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 70 = 24*v. Let d be 2 - ((-24)\/14)\/(1\/v). What is the highest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 - (-6)\/15. Let i be 4 + j\/(-4) - 34004. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 28*i**2 + 11*i - 71. List the prime factors of w(5).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 35 = 5*t, 4*t = 5*x - 0*x + 41 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30579*v**2 - v**3 + 61302*v**2 - 30723*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r\/(r*r**(-2\/5)*r))\/r*r*r))*r)**(-6)*r**(3\/7)\/r**(-4\/5))**(13\/4) assuming r is positive.\nAnswer: r**(-3263\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/1425388?\nAnswer: 5\/1425388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 1. Give x(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**2 + 16914*s + 23840283 = 0.\nAnswer: -2819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (33 - -13) + 23\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 1. Suppose -d + a - 8 = -1, -5*a = -4*d - 31. Let c = 8 + d. Is z(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**28*l**4)**13 assuming l is positive.\nAnswer: l**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316560 = 39*x - 34*x. Let v = -570382\/9 - x. Let l = v - -748\/9. What is the common denominator of -51\/11 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 171\/4248790 and -111\/1699516?\nAnswer: 8497580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.06 + 0.06. Which is the biggest value? (a) d (b) -0.5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 152 and 1.91?\nAnswer: 290.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 21 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992712 is divided by 2077.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1, 5*u - 19 = -3*k + 9. Sort u, 4, 0.\nAnswer: 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3231.9 + -2802. Let r = 430 - a. Let y be (-6)\/(-15) + (-32)\/130. Sort y, r, -5.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -164, -561, -1338, -2621, -4536?\n\"Answer: -21*d**3 - d**2 + 7*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 4)*(0*c + 0*c - c**2) + (-135813 + 1609*c + 135813)*(-5*c + 4*c - c) in the form k*c + h*c**2 + j and give h.\nAnswer: -3219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12461 and 340?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1689 + 267. List the prime factors of w.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -532093 in increasing order.\nAnswer: -532093, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 30 + 5. Let g(j) = j**2 - 2*j - 2. Let y(l) = -2*l**2 + 3*l + 4. Let f(c) = o*g(c) - 3*y(c). What is the hundreds digit of f(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-one halves of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p)\/p*p\/p**(-18) assuming p is positive.\nAnswer: p**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/5201880 and 69\/86698?\nAnswer: 5201880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 5:48 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 - 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 2100*w**3 - 6324*w**2 - 6332*w - 2112.\nAnswer: 4*(w - 528)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 2*a - 2. Suppose 0*c = -5*c - 15. Calculate the remainder when 55 is divided by o(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14282050.\nAnswer: 2, 5, 285641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 12*s**2 - s + 14. Let z be r(12). Suppose 2*a - 5 + 1 = 3*d, z*d - 3*a = -11. Factor -4\/7 - 2\/7*y + 2\/7*y**d.\nAnswer: 2*(y - 2)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z + 50 = 0. Let a = 277 - 275. What is the highest common factor of z and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-6) + 1*6\/9. What is the hundreds digit of 154\/4*(-4 + n - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1388414317, 1388414319, 1388414321, 1388414323?\n\"Answer: 2*q + 1388414315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 3, -2 in decreasing order.\nAnswer: 40, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 10109*j**4\/12 + 99*j**3\/2 + 5*j**2 + 7817*j. Find the second derivative of r(s) wrt s.\nAnswer: 20218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 16*q**2 - 14*q - 24. Let c be y(15). What is the units digit of 234*(3 + 33\/c)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 13312?\nAnswer: -13322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j**2. Let z(f) = -11 - 12 - 11 + 42 - 22*f - 10. Determine h(z(s)).\nAnswer: -3872*s**2 - 704*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 - 4*h + 5. Let q be s(-5). Let o(v) = -3*v + 3. Let p(c) = -c + 1. Let i(u) = 3*o(u) - 12*p(u). Let t be i(1). Is t less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 4*m**2 + m**3 + (2 + 4*m**2 - 2)*(-4 + m + 4))*(-32*m - 35*m - 2 + 63*m).\nAnswer: -20*m**4 - 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -44*n - 37. What is the remainder when d(-4) is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21749 = -14*q + 7231. Let a = 3158 - q. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 185, 278, 371, 464?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*g**4 + 10*g**3 - 105*g**2 + 40*g + 20.\nAnswer: 5*(g - 1)**2*(g + 2)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -4559?\nAnswer: -26\/4559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-3) - (-18)\/27. Suppose 16*k = 7*k + 27. Suppose 2*b + 1463 = 3*f, -k*f - 1944 = -x*f + 4*b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 3682.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 5*i**2 + 5*i - 1. Let u be z(-6). Let n = -17 + 27. Let j = 1 - 1. Solve j*g = -u*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -19*k + 1111. What is w(-6)?\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.11 minus 119.73?\nAnswer: 83.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12360, 16246, 20132, 24018, 27904?\nAnswer: 31790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 - -45.\nAnswer: 45.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-326)\/46 - -7) + 0.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 20. What is the remainder when 2\/8 - (-71)\/4 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(304\/19)*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 166410 - 1b1?\nAnswer: 16621b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 243042551035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100111110000111 (base 2) to base 15.\nAnswer: -10b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*a + 867, 0*a + 238 = x - 3*a. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31575307, 63150616, 94725925, 126301234, 157876543?\nAnswer: 189451852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*t - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 685, 1024, 1363?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 - -111. Let n = -15.1 - p. Which is the smallest value? (a) n (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3714376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 17*v - 3663*v**2 - 19*v - 72.\nAnswer: -3663*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t**(9\/10)\/t)\/t)\/t*t*t**(-7))\/(t\/((t**(13\/4)\/t)\/t)*t*t**(-41)))**(19\/3) assuming t is positive.\nAnswer: t**(4199\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 24384*o**2. Let n(r) = -47*r**2. Calculate s(n(h)).\nAnswer: 53864256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 245048558 to the power of 1\/2, to the nearest integer?\nAnswer: 15654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35708?\nAnswer: 2, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -146. Suppose -v + 72 = b. Suppose b = -4*w, -w - 149 = s - 5*s. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -q - 3, -23*z = -18*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d = -8*d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8477*d - 68014. What is a(-8)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 4. Let n be w(3). Let u = n + 4. List the prime factors of (u\/6)\/((-1)\/(-44)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((4*(sqrt(180) + 0) + sqrt(180) + (0 + sqrt(180))*-6)**2 - ((1 + sqrt(180) + -4 + sqrt(180))*-6)**2)*6 + 4).\nAnswer: -46656*sqrt(5) + 469140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53383949 by 3.\nAnswer: 53383949\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835893191.\nAnswer: 7, 119413313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2019, -29, -4?\nAnswer: 2019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/484 and 13\/8.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10769\/19 + 567. Let t = -141\/38 + x. What is the common denominator of -92\/15 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-14)\/(-1))\/(16\/2264)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -1, 9 in increasing order.\nAnswer: -1, 1, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 67, -20, -2\/17, 2\/49 in ascending order.\nAnswer: -20, -2\/17, 2\/49, 2, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 1302*r**4 - 42070*r**3 + 244092*r**2 + 1046327*r + 758862 = 0 for r.\nAnswer: -2, -1, 13, 23, 1269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 2)*-1 - -2. Let k be f - (3\/3 - 7). Calculate the remainder when 5 is divided by (1 + 7)*k\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*o + 78 - 10 + 40*o wrt o?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217 + -0.039023\nAnswer: -217.039023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9262017.\nAnswer: 3, 1029113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdo when three letters picked without replacement from {d: 2, x: 2, o: 7, t: 1}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 9*x**3\/7 - 3076557*x**2\/7 - 4102089*x\/7 - 1025523\/7 = 0.\nAnswer: -1, -1\/3, 341841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n - 17. What is the units digit of a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 61922*y. Let l(w) = -w + 18. Give l(f(s)).\nAnswer: s**2 + 61922*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 37*c**2 + 28*c. Let p(h) = -25*h**2 - 19*h. Let a(b) = -8*p(b) - 5*r(b). Let s(o) = -6*o**2 - 5*o. Determine 5*a(q) + 12*s(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29077438 is divided by 672.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 minus -75505.03?\nAnswer: 75573.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*n**5 - 60 + 13 + 3*n**2 + 11 + 14 + 95*n**5 wrt n.\nAnswer: 7920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s**3\/45 - 2*s**2\/5 + 2*s\/3 - 21. Factor y(x).\nAnswer: 2*(x - 5)*(x - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - -1) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2. Let w(n) = 1197*n**2. Give p(w(v)).\nAnswer: -1432809*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 37*m - 91*m - 2*m**2 + 37*m + 4 + 8*m**2. Determine n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1126*v - 1148*v + 1662*v + 451*v + 844*v to the form y + r*v and give r.\nAnswer: 2935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7163 divide 778639589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.061 greater than -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -68 - 182. Suppose 0 = -u + 3*u - 150. What is the greatest common divisor of h and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -78. Let m be 1\/(-3) - i\/(-63). Which is the closest to 1\/2? (a) m (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Suppose m = u + 23. Let l = u - -58. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + z - 3. Let u(l) = 6*l - 3. Let y be u(0). Is b(y) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209 + 3136\/15. Let k(a) be the second derivative of -2*a - l*a**3 + 0*a**2 + 0 + 1\/30*a**4. Factor k(h).\nAnswer: 2*h*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) 45 (b) -7 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-11)\/99). What is the third derivative of 4*c**2 - 7*c**n + c**6 - 4*c**2 - c**2 wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1039828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169084, -676196, -1521368, -2704588, -4225844?\nAnswer: -6085124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = 7*x. Put 1, x, 4 in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 145. Which is the fourth smallest value? (a) l (b) -3\/2 (c) -32 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 7*t**2 - 13*t - 37. Give g(-5).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 - 40. Suppose -2*l = -2*o + 14 + v, -5*o + 15 = -l. Is 0.1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1 - 23*j + 1. Suppose m = 4*t + 22, 21 = 15*m - 17*m - 5*t. Let q(z) = m*z - 132*z**2 + 130*z**2 - 4*z + 2*z. Determine r(q(n)).\nAnswer: 46*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 36 = 2*o. Let l(g) = g**3 - 5*g**2 - g + 8. Let r be l(5). Suppose r*s - s = o. What is the highest common divisor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019905 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {h: 5, u: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = 5*p + 10, 0 = -5*v + p - 50. Let n(u) = -u**3 - 6*u**2 - 4*u - 3. Let h be n(-6). Let m = h + v. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 (base 15) in base 13?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*d + 21 = 6*d, 4*f - 16 = d. Suppose -2*z + 9 = z, -f*z + 114 = t. Calculate the remainder when t is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/4)\/((-2)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 565367 divided by 15\nAnswer: 565367\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -r + 26. Calculate the remainder when 54\/12*38 - -4 is divided by r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.966 - 974535.\nAnswer: -974526.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 441*f. Let h(i) = -6*i. Determine p(h(u)).\nAnswer: -2646*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 503979?\nAnswer: 503978.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34997, 34995, 34993, 34991, 34989, 34987?\nAnswer: 34985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.65213 - 2.652. Round l to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*-19533.\nAnswer: 1152447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/20 + j**4\/12 - j**3\/3 + j**2\/2 - j. Let s be k(1). Let n be ((-1)\/(-1))\/(7\/(-2)). Which is greater: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003611314 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/144*8*6\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 11:58 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1644610*j**2 + 115*j**3 - 3289258*j**2 + 1644648*j**2.\nAnswer: 115*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1866 = -100*f + 34 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -471 + -2?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 31375\nAnswer: 25100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a**2 + 33*a**2 + 29*a**2)*(-2*a**3 + a**3 + 3*a**3)*(-1 - 1 + 0).\nAnswer: -200*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 106*p**2. Let z(g) = -g**2. What is x(z(h))?\nAnswer: 106*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043445 to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 - 5*v + 10*v**2 - 2 - 4*v**3 - v. Let h be s(9). Suppose -4*c + h = c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0*d - d - 7*d + 2*d + 3*d + 4 - 4 - 2*d - 2*d - 1 + 1 + (-2 + 4 - 1)*(-2*d - d + 2*d))*(3*d + 3*d - 5*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71\/5 of a microgram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9920 and 768?\nAnswer: 119040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 419.199 + -419. What is r rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*p - p. What is the remainder when p is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -82*l + 974. Determine c(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2401 is divided by 93?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 2 + 8 - 24. Let z(d) be the second derivative of 0 + 10*d + 1\/3*d**3 + 0*d**h. Let x(k) = 2*k. Calculate z(x(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-3370)\/(-16) + (-3)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2738 = -5*s + 2*s, s = -2*a + 906. What is the highest common factor of s and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 13*h - 12*h - 2*w, -1117 = -3*h - 13*w. Calculate the highest common divisor of h and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1331 (base 4) to base 15\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29.81 times 1\nAnswer: 29.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 2 + 6 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:43 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4572 + 582*w + 2293 + 2241 - 578*w.\nAnswer: 4*w - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 y when three letters picked without replacement from {k: 1, u: 3, z: 3, y: 1, n: 2, e: 5}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21710 times 6.287\nAnswer: -136490.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 3*z + 4, 5*z - 20 = 0. Suppose -3*c = -5*k + k - 17, 0 = -4*k - w. Solve 0 = u + c - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*d + 962, 9*d + 3*p = 4*d + 1203. Suppose -846 = -6*u - d. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27060 and 1020600.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1. Suppose -2 = 4*h - 10. Suppose 5*i + h = -3. Let v(s) = -s - 2. Give i*v(m) - 4*l(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - (-99 - -45)) + 28?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*a**2 + 415*a**3 + 91*a**2 + 84*a**2 - 268*a**2.\nAnswer: 415*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.81 and -6.\nAnswer: -148.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 398983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) - (sqrt(104) - (sqrt(104) + sqrt(104)*4 - sqrt(104)))*2))\/(sqrt(24)\/(sqrt(3) - sqrt(147))) - (sqrt(13) + 1 + 3 + 1 + 5)**2*6.\nAnswer: -678 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3*l - 3. Let r be d(6). Calculate the highest common divisor of r and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (358 - 352) + (1 - (28 + 1 + 1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115\/2176 + 31709\/2176. Factor -t*s + 15\/2 + 27\/4*s**2 + 3\/8*s**3.\nAnswer: 3*(s - 1)**2*(s + 20)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35653 by 35653.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35154 by -1.\nAnswer: 35154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:51 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 7*k + 21*k + 13*k to q*k + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 1\/4 (c) -0.4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/12)\/(16\/40). Sort -8, -3\/5, c, 1\/5 in decreasing order.\nAnswer: 1\/5, -3\/5, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmgtecgw. What is prob of picking 1 w, 1 c, 1 m, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8442.233kg to grams.\nAnswer: 8442233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 - 3*z**2 - 23*z. Let f(u) = -4*u**3 - 2*u**2 - 24*u. Let x(y) = y**2 - 299*y - 3408. Let p be x(-11). What is p*q(a) - 3*f(a)?\nAnswer: 2*a**3 + 26*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -44279?\nAnswer: -44279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x + 8086 - 4041 - 4045.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssisiis?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 7857*r**3 - 1236414*r**2 + 2441376*r = 0. Calculate r.\nAnswer: -2768, 0, 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5975.328um?\nAnswer: 0.5975328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 21*z**2 + 20*z + 2. Let s be k(20). Let q = 0.9 + 0.1. Let a = -0.2 - 2.8. Sort a, q, s in descending order.\nAnswer: s, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*j + c, 2*j + 5*c + 28 = c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:02 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) -36\/25 (c) 2 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -97973055 divided by -7?\nAnswer: 97973055\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 2181?\nAnswer: 13086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 - (-2 - 1). Suppose 80 = a*h + h. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48089 (base 12) to base 15.\nAnswer: -1da83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167111373*c**2 + 447*c**3 + 167111373*c**2.\nAnswer: 447*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8591.7 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. Let y be s\/(-14) - (-160)\/70. Factor 1\/3*t + 0*t**y - 1\/3*t**3 + 1\/6 - 1\/6*t**4.\nAnswer: -(t - 1)*(t + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -258 - 62. What is the greatest common divisor of 500 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1393 and 70645?\nAnswer: 494515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*s - 2363, -2*s - 3*x = 499 - 2067. Suppose -14*j - 87 = -s. Calculate the greatest common factor of j and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18*v + 2. Suppose 61*b = 80*b - 26*b - 21. Let d(h) = 19*h + 1. Determine b*d(z) + 2*l(z).\nAnswer: -21*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4*n**2 + 4*n**2)*(-2 + 10*n - 3 + 3)*(2*n - 5*n + 2*n)*(-3*n - n + 2*n).\nAnswer: 40*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25085732 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 6. Suppose -94 = -3*d + a, 4*d + 40*a = 35*a + 119. Suppose -w*m + d = -17. Solve -4 + 0 = m*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g + 39. Let h be v(-5). Calculate the remainder when 35 is divided by 1512\/(-42)*(-2 + h\/(-4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3444607 to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*l - 7 + 49*l + 6 as f + z*l and give z.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121893*y**3 + 0 - 4*y + 0 - 121199*y**3 - 82*y**2 wrt y.\nAnswer: 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (-1204)\/(-154) - (-1194)\/(-33). Let r(i) = i**3 - i**2 + 1. Let n(p) = -12*p**3 + 36*p**2 - 36. Determine u*r(z) - n(z).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (151 - (-25 + 120)) + -2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22\/15 (b) 3\/8 (c) -0.1 (d) -0.3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.900183 + 1.9. What is p rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -1 + -3 - -3*-1*sqrt(1700))**2.\nAnswer: 200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -876.835 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184 = -22157*z + 22053*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from skuussiiikekskeseki?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t + 3. Let i(d) = 2*d + 0*d - d + 7*d + 4. Determine -5*i(c) + 6*j(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 520, 17, 497 in decreasing order.\nAnswer: 520, 497, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 2. Suppose t + 5 = n*t. Suppose -g + t = -2. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - 6*g - 2. Let z be (0 - 1)\/((-1)\/5). Let x(c) = 2*c**2 + 4*c + 1. Suppose 5*v + 5*j - 25 = 0, 2*v - 2*j = 9 + 13. Determine v*x(w) + z*u(w).\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4829 = 1358*b - 27763 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -124*(-3 - (-5)\/2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 2 - 1 - 2. Suppose 0 = 2*j - 0 - 2, -3*p = 4*j - 1. Calculate t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/18)\/((-295)\/(-354)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 69 + -31 + -24\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccceeeeccccceccccce. Give prob of picking 1 e and 1 c.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 + 350 + 7500*u**2 + 90*u - 14993*u**2 + 7487*u**2 = 0.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7526 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(25\/44 - 130\/(-715))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a litre in millilitres?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1975*k - 56 = 1979*k - 4*s - 0*s, -3*s = 5*k + 46 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 2*o + 3. Calculate n(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121687 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.495051 nanoseconds?\nAnswer: 0.008495051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.72 - -14.82. What is the closest to 2\/7 in 0.3, r, -31, -2\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10312339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2550393?\nAnswer: 3, 59, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 1705*q - 571*q - 564*q - 572*q.\nAnswer: -2*q + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.99 - -2.99. Which is greater: 378 or d?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + ((-1)\/15)\/(656\/19690). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 451 and 1760.\nAnswer: 72160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128153194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 3*y**5\/40 - 15*y**4\/4 + 297*y**3\/4 - 726*y**2 - 27*y + 10. Let w(o) = 0. Calculate o.\nAnswer: 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 28.018. What is d rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/3)\/(t\/(t**6*t))*(t*(t*t**2*t)\/t)**(-2\/35) assuming t is positive.\nAnswer: t**(781\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -61 + 59 + (-42)\/(-20). Sort c, 2\/11, 1\/5, -1 in increasing order.\nAnswer: -1, c, 2\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112210000011 (base 3) to base 5.\nAnswer: -202303231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, -4, 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129.32 - 129. Let y = j - 0.22. Sort y, 1\/2, -3 in decreasing order.\nAnswer: 1\/2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h**3 - 7*h**2 - 4*h + 11. Let g(r) = -9*r**3 - 4*r**2 - 2*r + 6. Suppose -13*s + 541 = -980. Suppose -86 - s = -29*k. What is k*g(u) - 4*q(u)?\nAnswer: 5*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16*(-2 - 545\/10*-1). Let b be 4\/(-3) + l\/252. Solve n - b = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (5 - 4))*8. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1578 - -1764. Suppose 0 = 2*f - 4*f + 4*z - 190, 0 = -4*z. Let h = f + i. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428822694?\nAnswer: 2, 3, 7941161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 11. Suppose -5*q = -0*q - g. Is (40\/(-25))\/((-2)\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mufmimu. What is prob of picking 1 i and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 16 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82943\/574 + 175\/(-14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679901.\nAnswer: 3, 559967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 8*w**2 + 10*w + 7. Let y be q(-7). Let j = y - -34. Calculate the smallest common multiple of j and 0 + 12 + -1 + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240603.7 + 0.428525\nAnswer: -240603.271475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let p(h) be the first derivative of -h**2 - 1. Give p(t(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {m: 1, e: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5277, 5, -20, 0 in decreasing order.\nAnswer: 5277, 5, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3674, -14691, -33052, -58757, -91806, -132199?\n\"Answer: -3672*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 141.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*h - h = -24, 2*h = -8. Let s = l + 4. Suppose 0 = -0*u - 5*u + 4*q + 43, s = -4*u + 5*q + 38. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 8*t + 4*t + 2*t - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67142 - 344*d + 67142 to the form a + h*d and give h.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53.6 and 438567.41337?\nAnswer: 438621.01337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 15) to base 3.\nAnswer: -12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1. Let a(y) = 16*y + 9. What is -a(h) - 6*r(h)?\nAnswer: -16*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + (sqrt(99) - 4*sqrt(99))) + 0)**2 + -1.\nAnswer: 1800*sqrt(11) + 22674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + 0 + -6*-5*(-1 + sqrt(128)) + 2 + 1))**2 + 3.\nAnswer: -116640*sqrt(2) + 1043364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24049, 41612, 59175, 76738, 94301, 111864?\nAnswer: 129427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -15)*((-28)\/6)\/(-1). Let u = 65 - d. What is the second biggest value in 0.5, u, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*l + i, 4*l - 26*i + 12 = -22*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/180 + x**3\/2 - 3*x**2. Let k(a) be the first derivative of w(a). Let b(u) = -u**2. What is k(b(l))?\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l**2 - l + 3. Let q be j(5). Let t = 807\/2 - q. Find the common denominator of -103\/14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 1808 + 1784 = -2*x, 0 = -2*x + 20*r - 76 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37814143?\nAnswer: 439, 86137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:26 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 147?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16056421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 74. Suppose -27 = j*i - 19*i. Let l be ((-3)\/i)\/((-1)\/(-9)). Solve -4*h + l = -r - 3, -5*h + r = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14490000 rounded to the nearest one hundred thousand?\nAnswer: 14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 62*a - 294. Let w be s(-56). Is -2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + -6 + -1 + 1. Suppose 204 = -j*p + 7*p. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**2\/2 + 6*w + 1. Let p be o(6). Let x = p - -5. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = x, -22*x + 6 = -20*x + 4*b. Let y = 239 - x. List the prime factors of y.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -43431114?\nAnswer: -43431143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105575429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 16*h + 0*h + 13 = -15*h, -h + 23 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.01 + -8. Let z = -0.11 + p. Sort 2\/11, -0.4, z in decreasing order.\nAnswer: 2\/11, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8020 = 5*b, 0*x = b + x - 1612. Suppose 5*a + 77 - b = 0. Suppose 4*y = -2*y + a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -77 + 40 - 335*d**2 - 6*d + 41. Let h be x(4). Round h to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13424204420 (base 5) to base 11.\nAnswer: -9913800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scs when three letters picked without replacement from {s: 19, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4874896.\nAnswer: 2, 13, 23, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 24. Put 1\/6, 3, j in ascending order.\nAnswer: j, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*n**4 + 20\/9*n + 44\/9*n**2 + 28\/9*n**3 + 0.\nAnswer: 4*n*(n + 1)**2*(n + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 7\/40*v**6 + 0*v**3 - 1\/60*v**5 + 0 + 0*v**4 + 0*v + 30*v**2. What is the third derivative of n(g) wrt g?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -283 and 1969.\nAnswer: -557227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9871651 to the power of 1\/2, to the nearest integer?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 75*k**2 + 0*k - 201*k**2 as g*k + b + u*k**2 and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/8, 4, 318, 16456\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29e (base 15) in base 7?\nAnswer: -1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2241 by -747.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + o**2 - o + 1. Let w(m) = -28*m**3 - 13*m**2 + 2*m - 2. Let t(l) = -2*d(l) - w(l). Find the third derivative of t(x) wrt x.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Suppose -536*c = -498*c - 114. Let y(n) be the first derivative of -18 + 0*n + 10\/3*n**c + 0*n**2. Give y(w(f)).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 165*n + 8. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 101\nAnswer: 5.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3766449?\nAnswer: 3, 331, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(20)\/sqrt(4) + -3 + (sqrt(5) + (sqrt(180) - (sqrt(180) - (sqrt(180) + 2*sqrt(180)))))**2).\nAnswer: -1799 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/192*28\/(-6)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*q + 1 - 152*q - 1.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 95\/(-35) + (-4)\/14. What is the lowest common multiple of (-3)\/f*24\/2 and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 287524, 287530, 287536?\n\"Answer: 6*v + 287518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22132 - -13?\nAnswer: 22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1202.97 - 17.97. Let q = o - 1184.9999371. Round q to 6 dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 4 (c) 89\/54 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -533761 and 0.\nAnswer: -533761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*p**2 + 3*p**2 + 2*p**2)*(2 + 0 - 1) + (0*p + 0*p + 2*p)*(-3*p + 4*p - 4*p))*(3*p + 2*p - p).\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - -46.9. Let s = p - 44. Let w = 0.5 + -0.1. What is the closest to 0.02 in s, w, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386 and 512.\nAnswer: -197632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9420228?\nAnswer: 2, 3, 261673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/160 - 41*p**5\/40 - 48*p**4 - 1044*p**3 + 1116*p**2 + 2*p - 2. Solve k(r) = 0 for r.\nAnswer: -58, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i. Let u be (-23)\/(i\/3 + 1). What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-36) - 29\/9. Let f be 4*(18\/8 + l). Suppose -5*x - 1 = -2*n, 0 = -3*x + 4*n - n + 3. Which is the third smallest value? (a) -2 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-196)\/16*1\/((-2)\/88). Calculate the highest common factor of y and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 v when four letters picked without replacement from uububbbkbbbvaababk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 269, 387, 487, 563?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from mgmmmmupmmgmmmmgumg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty ninths of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 48 = 4*p. Let s be 76\/p + 4 + 55\/(-15). Suppose 5*l + s = 248. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 10*o - 15. Let v be ((36\/20)\/(-3))\/(o\/(-30)). Solve -5*i = v + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*i + 3 = -83*i. Suppose 0 = 5*s + 5*z - 100, -s - i*z + 4 = -6. Suppose -3*m + 8 = -2*m - d, -2*d = -4*m + 26. Solve 0 = m*t - 10 + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 25. Suppose r = -j + 2*j - 187. Let k = 112 + j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -54\/11*k**4 + 20\/11*k**5 - 148\/11*k**2 + 10\/11 - 12\/11*k - 200\/11*k**3 = 0?\nAnswer: -1, -1\/2, 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-16 + 1 + 8 + -1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(304) - (-1 + sqrt(304))*-3))**2 + (sqrt(304) - ((sqrt(304) - (1 + sqrt(304))**2) + 4))*-2 + -5 + 5.\nAnswer: -880*sqrt(19) + 43255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 117 = w - 44, -4*n - 2*w = -650. What is the remainder when n is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 6:56 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15*c**(6\/7)*((c*c*(c**(-3\/7)\/c)\/c)\/c)\/(c\/c**(3\/22)) assuming c is positive.\nAnswer: c**(2089\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4*(-1)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.13 - 0.13. Let d = -6 - q. Let a = d + 10.66. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**4 + 0*g**4 - 4*g**4 + (-5*g**2 + 2*g**3 + 5*g**2)*(-183 + 30*g + 183) to y*g**3 + w*g**2 + c*g**4 + s*g + k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 92. Suppose 0 = -18*u - 11*u + 9*u. Suppose z = i - 5*x, -3*i + 4*x + 35 + 23 = u. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:11 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 20 - 0. Let c be b*-1*(-112)\/40. Let i = c + -10. Solve -3*j - 4 = r, -2*j + i = -r + 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 367\/(2\/66*3). Suppose -14363 = -4*o + w. Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1802 by -53.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 7*z + 6. Let a be w(7). Let j be 70 - 2\/6*0. Suppose -t - j = -5*q + t, 2*q + t - 19 = 0. Solve -3*p + a*p = q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12\/(-21) + 568\/112.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363 + 363 - 41*l**2.\nAnswer: -41*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 13*f = -o - 163, -295*o = -292*o - 4*f - 59 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(171) + sqrt(19))) + 1 + (-3*-1*sqrt(19))**2 + 1 + sqrt(2736) + -5.\nAnswer: 9*sqrt(19) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w*w**(-6)*(w**1)**(-21))\/(((w*w**6*w*w*w)\/w**(-7))\/(w*w*(w*w**(-1\/5)*w*w)\/w*w*w**(2\/21))) assuming w is positive.\nAnswer: w**(-3266\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*h + 30 = 0, -12*h = -4*k - 7*h - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w + 4. Let f be (-1)\/2 - (1 + (-15)\/(-2)). Let q(l) = 3*l - 1. Let i(v) = f*q(v) - 2*o(v). Give i(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 13*i**3 + 11*i**2\/2 + 4*i. Is g(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Let m(n) = 16*n**2 - n - 3. Let d(s) = -s**2 + 1. Let v(t) = -4*d(t) - m(t). Calculate v(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42619, 42643, 42653, 42643, 42607, 42539, 42433, 42283?\nAnswer: 42083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4387 + 7819. Suppose 22*i - 2068 = a. What is the lowest common multiple of i and 4?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438651 is divided by 216.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 260 - (-5 + 8). Let t = 779\/3 - j. Suppose -2*f - 4*n = -24, 3*f + 2*n = 13 + 7. Do f and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8112 and 1884.\nAnswer: 1273584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 + 4*d**2 - d + 4. Let u be 1\/(-3) + 10\/3. Let v(h) = -h**3 - 6*h**2 - 3*h. Find the common denominator of a(u) and v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -2*x, 2*u + 23 - 7 = -5*x. Let a be 2\/u*2 + 15. Solve -l - 4 = 3*p - a, 3*l + 1 = -p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 354 - 151. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5756*k**2 - 5776*k**2 + 2*k**3 - 5767*k**2 + 382*k + 17299*k**2.\nAnswer: 2*k**3 + 382*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggdggxgjmgxj. What is prob of picking 2 x and 2 j?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10640\/1995)\/(2 + 16\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4197*s - 67241 - 24708 = 46552 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43414 + -17202. Let f be (6 + 1008)*l\/6. Let u = f - -21844104. What is u rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.21696898+1\nAnswer: -11.21696898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 23 = 118. Suppose s - 58 = -4*y + 21, 0 = 2*y + 5*s - 53. Let u = y - d. Which is the third biggest value? (a) u (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.8 (b) 4\/3 (c) 51680 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x + 5. Let s be c(-3). Suppose d - 3 = -s*p + 3, 0 = 4*p - d. Which is bigger: -2\/25 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6670 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13*d + 54 = 0. Let y be ((-2)\/d + 0)*-2. Which is the third smallest value? (a) -14 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.8 - 29.8. Which is the smallest value? (a) 2 (b) p (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-30))\/((-16)\/(-118))*3\/((-9)\/6).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 70, 159, 284, 445, 642?\n\"Answer: 18*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14*u**2 + 297*u + 75. Let d be v(-21). Solve -2*q - 3*m + 7*m + 12 = 0, 0 = 4*m + d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 897 + -604. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004621391 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.45 + -55.169. Let z = -0.709 - j. Round z to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -7.2 (c) -16 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.278 and -0.4.\nAnswer: -0.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2672, 12822, 30452, 55562, 88152, 128222?\n\"Answer: 3740*f**2 - 1070*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(10 + 10*y - 10) + 72 - 17*y - 72 in the form n + p*y and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 13*d - 119. Let w be v(-20). Suppose 34*l = -3*m + 37*l + w, -5*m + 85 = 5*l. What is the smallest common multiple of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -145 or -147?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose -3*v + 0*v - 3 = f. Let j(o) = 4*o**2 - 4*o - 5. Let t(x) = x**3 - 5*x**2 + 5*x + 6. Let m(q) = 5*j(q) + 4*t(q). Determine m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 8*r - 679 = 0. Let h = r + -77. Calculate the remainder when 39 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let k(p) = p**2 - 6*p + 5. Let n be k(6). Suppose 0 = 2*j + 3*t + 7, -n*t + 3 = -2*t. Put j, 5, x in ascending order.\nAnswer: j, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*b**2 + b - 26*b**2 - 43 - 1 as h*b + x*b**2 + j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81213 is divided by 572.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6733.7mm?\nAnswer: 6.7337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21945\/190)\/((-539)\/308).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 525570 and 20689939.\nAnswer: 620698170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -5, 0 in descending order.\nAnswer: 0, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*j**5 + 54*h*j - 13*h + 185*j**3 wrt j?\nAnswer: -40*h*j**3 + 1110*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/18558 and -69\/39178.\nAnswer: 352602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1621 - 1621.14. What is the third biggest value in -5, 1, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 29170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 4*u**2 + 5*u**2 + (-1 + 0 + 0)*(-6*u**2 + 4*u**2 + 0*u**2).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 9973 - 9941 + 20103 to the form f + l*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -22.99969. Round p to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373877629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11 = -76. Let d = k - -15. Suppose 0 = 4*w - w + 2*x - 65, -d*x = 4*w - 84. Calculate the remainder when 73 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/48*(-1530)\/(-255). Let 7\/2 - i*x + 1\/2*x**3 - 7\/2*x**2 = 0. What is x?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 68*y**3 + 16*y**2 - 13*y - 40. What are the prime factors of g(5)?\nAnswer: 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.019974 months in millennia?\nAnswer: 0.0015016645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**2 - 4*p**2 + p**2)*(12*p**2 + 448*p**2 + 291*p**2) to s*p**4 + y + i*p**2 + d*p + z*p**3 and give s.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/14 and -89\/1545?\nAnswer: 21630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g**(-6)\/g)*g))\/g)\/(g**20\/g))\/(g*g**(2\/3)\/g)**(4\/27) assuming g is positive.\nAnswer: g**(-2276\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6874845.2 rounded to the nearest one thousand?\nAnswer: 6875000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82381712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69212\/43 smaller than 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + o + 1. Let i(f) = -f. Suppose 3*q + 3*x + 6 = 5*q, q = 4*x + 13. Let l be i(q). Suppose v - z = -5, -13 = -l*v - 3*z - z. Determine w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11666, -11876, -12230, -12716, -13322, -14036?\nAnswer: -14846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqggovoegeo. Give prob of sequence oge.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 7 + -9 + -7 - (-31 - -68).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1)\/(-6)*(2 + 85). Is m at least as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 22*c + 66. Give a(12).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*p - 30276 - 22540 = -17304 for p.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/26064 and -103\/20955456.\nAnswer: 20955456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2474 = -4*j + 119, -600 = j + 4*o. Let n = j - -2942\/5. Find the common denominator of n and 87\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1. Let o(r) = -13*r - 1. Give -o(n) + 2*y(n).\nAnswer: 13*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 200387088 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 - 669*b**2\/4 - 37629*b\/4 - 36963\/4.\nAnswer: -3*(b + 1)*(b + 111)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 3735.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4323 + 11?\nAnswer: 4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 408*d - 39340. Determine l(135).\nAnswer: -2485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3.1, -4, 4?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(57)\/sqrt(3) - sqrt(19)*-1*-3.\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14482 divided by 354\nAnswer: 7241\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -585 < -584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 26281821.6 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2927366951 is divided by 2082.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2 - 7*n + 13*n)*(5 + 3*n - 5).\nAnswer: 6*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 2*f**4 - 5*f**4 + (3*f**3 - 2*f**3 + f**3)*(4*f + 0 + 0).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-6) - (-1 + 4\/6). Does 12 divide (18\/(-5))\/(((-27)\/(-60))\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52549 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*a - 216*a - 392 = 0. What is the highest common factor of a and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 5*r + 362 + 2*r - 7*r.\nAnswer: -r**2 + 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 970007*c*l - 141444142*l with respect to c.\nAnswer: 970007*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 81, 186, 337, 534, 777, 1066?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 + 3*w - 3*w + (-4*w - 4 + 4)*(-4 + 2 + 1 + w) as s*w**2 + t*w + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -67?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358529.\nAnswer: 137, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2022 (base 3) to base 10\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 24*v**2 - v. What are the prime factors of u(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154460234099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -678*v**3*y - 17*v**2*y - 28650*v*y wrt v.\nAnswer: -4068*v*y - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3753*r + 3884. Give i(-1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 189189039\/(-117) - (-2)\/(-12)*-2. What is k rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*5\/10*0. Suppose 5*i - 5 = 0, u*v - 5*v = 5*i - 5. Suppose -k = -v*k. Solve n = -k + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.73 (b) 45 (c) 1316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/7)\/n))**16\/(n**(3\/4)\/n*n*n**(-2\/3)*n*n)*((n*n**4\/n)\/(n\/((n*n\/(n\/n**(5\/4))*n)\/n)))**(-47) assuming n is positive.\nAnswer: n**(-9299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3060 = 1921*h - 1936*h. What is the remainder when h is divided by 101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5241694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 2*a**2 + 2*a**3 - 2*a**2 to the form b*a**3 + n + q*a**2 + k*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 561870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849143579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 20 = -r. Let d = r + -10. Let n = 28 - d. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313473, 626942, 940411, 1253880?\nAnswer: 1567349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from kjjjjkjj.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100.744 + 75.84. Let p = -29 + 4. Let r = q - p. Round r to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*d**2*j**2 - 9*d*j**2 + 2532*j**2 with respect to d.\nAnswer: 170*d*j**2 - 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1849\/(((-30)\/105)\/((-8)\/14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -759 - 0.1.\nAnswer: -759.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1010010100111001 (base 2) to base 16\nAnswer: -a539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*l = 9075, 28 = -5*l + 3. What is the remainder when n is divided by 1806?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + x**2 - 3*x - 1. Let f be y(-2). Let z be 1 - 3 - (-4 + 0). Let h = z - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2262*l = 2355*l - 465. Solve l*z + 10*w = 6*w - 5, 5*w + 22 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/6*(-182)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - 1\/(4\/12). Solve 0 = -3*z - 2*g - 10 - d, -2*g + 29 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c + 9 = 0. Solve -c = 3*q + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0\/v*v)\/v)**(-15\/7)\/((v\/(v\/(v\/v**(1\/2))))\/v*v*v\/(v*v\/v**(-4\/3)))*(v**1\/v)**12\/(v**0\/v)**(-10\/7) assuming v is positive.\nAnswer: v**(17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**3 - 4*s**2 + 4*s + 5. Let f be l(4). Calculate the greatest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3020*z - 2170. Is x(11) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let u be 1*1\/3*-7. Let q = -2 - u. What is the third smallest value in 0, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 2*n**2 - n**2 + (5 + 131 - 23)*(n**2 + 3*n**2 - 5*n**2) + 0*n**2 + 0*n**2 + n**2 + 2 - 2 - 2*n**2 as y*n**2 + a*n + s and give y.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -36192 divided by -8\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 16*l**2 - 19*l. Is 20 a factor of o(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1022172721 to the nearest integer?\nAnswer: 31971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.066 (b) -0.5 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 16110190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/3089 - 6165\/40157. Which is the second smallest value? (a) -2\/17 (b) 7\/3 (c) -4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f = 28. Let n be ((-4)\/f)\/(2\/7). Solve 0 - 8 = n*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 25595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.480355 * 2\nAnswer: 0.96071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14476738 is divided by 1104?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 80 - 148 = 0. Suppose -5*x = 2*k - 3692, 2*k - t*k + 1464 = 2*x. What are the prime factors of x?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112905623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjssmsssrpgssrsjgs. Give prob of sequence rp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.514784 millennia?\nAnswer: 18177.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*a + 3, a + 2*a = r - 15. Let l be ((-70)\/30)\/(r\/27). Which is smaller: l or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2071 divided by -319.\nAnswer: -2071\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50363, -50368, -50373, -50378, -50383, -50388?\n\"Answer: -5*i - 50358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 divided by -12.\nAnswer: -140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 14. Let p be ((0 + 1)*11)\/(-1). Let v be u(p). Suppose i = f - 2*i - 20, 2*i = -v. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 16. Let v = 9 + j. Suppose -3*w + 6 = 0, v*b = b - w + 60. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f**2 - 103 - 68 + 147.\nAnswer: -32*f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.71457 - -3.72. Round k to 4 dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 + g**4\/12 - 2*g**2 - 2*g. Let n = 10 - 10. What is m(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*f**3 - 2*f**5 - 17*f**3 - 2*f**5 + (2 - 2 - 8)*(-2*f**5 - f**5 + 2*f**5).\nAnswer: 4*f**5 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = y - 24, 3*x + 6 = 0. Which is greater: 0.16 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9606889673 to four decimal places.\nAnswer: 0.9607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -715*h - 33634. Calculate s(-47).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 - 2 = 0. Suppose p*v - 11 = 4. Suppose 2*y = -2*y. Solve -10 = 2*w - 3*x + x, y = w + 3*x + v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + 5 + 3 + -3 + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -269, -1045, -2319, -4085, -6337, -9069, -12275, -15949?\n\"Answer: l**3 - 255*l**2 - 18*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 3:35 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.3 - 63.3. Let z = a - -51.9754. Round z to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354334*g**3*r**3 + 2*g**3*r**2 + g**3*r - g**2*r**3 - 11*g*r**3 - 2*g*r + 10*r**3 + 5 wrt g?\nAnswer: 2126004*r**3 + 12*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -12. Let t be (20 - 21)*(-4 + (2 - u)). Let a be 35\/3 + (-2)\/3. Calculate the highest common factor of t and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:16 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - 0) + -51 + 37\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 295*k**2 + 2918*k - 19474. Give h(285).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 9 - 1 + s + (3 - 2 - 3)*(3*s - s + 3*s).\nAnswer: -9*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(3\/8*4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**3 - v**2 - 4*v - 3. Let q = 12290 - 12291. Give d(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 7?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x. Let q be (-5 + (-2 - 111))*(-2)\/4. Let g(u) = q*u**2 + 45*u**2 - 115*u**2. Give z(g(f)).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 0)\/(-4)*-2. Suppose -3*o - 4*p = -3, -2*o - 2*o + p + w = 0. Let d be -4 + o - (-95)\/35. Sort -7, 5, d.\nAnswer: -7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8851*r**2. Let x(k) = -k. Determine x(w(j)).\nAnswer: -8851*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:41 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let o(p) = -39*p**5 + 5*p**2 + 3*p - 3. Let k(f) = -3*m(f) - o(f). Find the third derivative of k(w) wrt w.\nAnswer: 2340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/6*(-1125)\/625?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 101, 138?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 - 3. Let x be (-6)\/(-9)*(4 + -1). Suppose -48*d + 8 = -46*d, 5*h + 2*d = -7. What is the nearest to 2\/7 in h, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 59504905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2379 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1040804 by -5.\nAnswer: -1040804\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 4}. Give prob of sequence fhfh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116998290 a multiple of 5193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -20*d**2. Suppose 4*x + 48 = -36. Let z = 23 + x. Let c(i) = 2*i**z - 2*i**2 + i**2. Calculate c(s(k)).\nAnswer: 400*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icc when three letters picked without replacement from cciciiiccccii.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-393)\/(-57) - (-30)\/(-285).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 3*j - 12 + 38, -25 = -5*h + 2*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20647755 and 1668?\nAnswer: 82591020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*y - 3*g, 3*y - 3*g + 90 - 72 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 639065459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6 + 4 = 5*m, 2*m - 4 = -2*o. Suppose m*v - 70 = -3*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, 62, -1, -0.1, -112?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/5 or 21909.4?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -60793 in decreasing order.\nAnswer: -1, -6, -60793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2. Let x(j) = 10848272*j - 1. Calculate x(q(p)).\nAnswer: -75937904*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 63.537 and 0.2.\nAnswer: 63.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 2*t + 3*t)*(8 + 0 + 3)*(-1 - t + 1) to f + h*t**2 + a*t and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -19 + (-29 - -48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -7*t**5\/12 + t**4\/12 - 23*t**3 - 237*t**2. Find the first derivative of y(j) wrt j.\nAnswer: -70*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3112741 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217844664.\nAnswer: 2, 23, 2333, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-18) - 1877\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 188 = -59*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i + 43*i = 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 1:13 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 350\/(-490) + (-368)\/(-1358) and 41\/49.\nAnswer: 4753","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.196 (b) -0.5 (c) -3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/760)\/(1\/5)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2219, -19, -12 in increasing order.\nAnswer: -2219, -19, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 230663117 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 0.0432886094819?\nAnswer: 0.2432886094819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -763 + 766. Sort 0.5, -33, i, -1\/6 in ascending order.\nAnswer: -33, -1\/6, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 1)\/6 - (-3 - (1 - 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -2\/7 (b) 0.3 (c) 2\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 383 = 413. Let v(q) = 3 + 204*q + 2 - 3 + q**2 - m*q. What are the prime factors of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4539 + 4535 + 4537 - 13611 - 99*j.\nAnswer: -99*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -541556*b + 3790873. What is x(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + 1 + 9 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 13. Let p = -2 + 2. Let n be i(p). What is the greatest common divisor of n and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*s + 15, -3*w = -0 - 3. Suppose -5*a + 2*x = -2, s = -2*a - 4*x + 3. Suppose -10*m + 290 + 20 = a. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1291 (b) -8 (c) 0.1 (d) -119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6497 or -6493?\nAnswer: -6497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4108, 1.1, 12, 0.1?\nAnswer: -4108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 27 = 5*p, 0*o + 37 = 3*o + 4*p. Let f = o + -47. Find the common denominator of 101\/22 and 1 + (-62)\/f + 0.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3 - 213. Let o(s) = 8*s**2 - 5*s. Let g(j) = 39*j**2 - 24*j. Let v(a) = -5*g(a) + 24*o(a). Calculate v(m(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i*i**(7\/4)\/i)\/(i*i**0)**(-7)*(i*(i\/(i*(i*i\/(i**(-6)\/i)*i*i)\/i*i))\/i*i**(1\/3)*i)\/(i\/(i*i**6)*(i*i*i**(-1\/8))\/i) assuming i is positive.\nAnswer: i**(77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09818 rounded to three decimal places?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 13350342325?\nAnswer: -13350342323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + 73. Let r be (-30)\/9*(-15 + 0). Let t be (-4)\/10 + 970\/r. What is the highest common divisor of t and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g + 1. Let c(n) = n**3 - 18*n**2 - 41*n - 49. Let i(k) = -c(k) + 6*x(k). List the prime factors of i(25).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**(8\/3)\/(w\/w**2*(w*(w\/w**(-19\/4))\/w*w*w)\/w) assuming w is positive.\nAnswer: w**(-421\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-5 - -3)*1. Let i = 7 + f. Suppose 641 = 9*l - i*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3\/10 + 4373*s**2\/10 - 309641*s\/2 - 33313381\/10 = 0. What is s?\nAnswer: -61\/3, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15334 - -15338. Calculate the greatest common divisor of 783 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 1\/11 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 207*i + 204.\nAnswer: 3*(i + 1)*(i + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3\/4 - 1683*d**2\/2 - 688371*d + 33470014 = 0.\nAnswer: -1706, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10316 - 134106\/13. Sort -9, w, 30, -1\/8.\nAnswer: -9, -1\/8, w, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71114.6981 plus -166?\nAnswer: -71280.6981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 3*z - 9. Let c be t(7). Suppose 4*s = s + c. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 245\/5 + 93852\/(-1422).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o**2 + 8. Let g(x) = -190*x**2 - 90. Let n(l) = 4*g(l) + 45*u(l). Let p(h) be the first derivative of -2*h**3\/3 - 30*h + 5. Determine p(n(q)).\nAnswer: -50*q**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(500) + -2 + -2 + -4.\nAnswer: -6 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15253134 - 4161241 = -64379107. Round u to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**5 - 72*q**2 - 2*q wrt q?\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u - 1. Suppose -g = 2*i - 2*g - 6, 4*i + 4*g + 12 = 0. Let q = 37 + -12. Calculate the remainder when q is divided by v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7845548 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*m = 115751, 8*o - 2*m + 7*m = 231517. Is 194 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 44 = 14. Let a(u) = -u**3 - u**2. Let d be -2*(-3)\/2*-1. Let f(v) = -3*v**3 - 2*v**2 - 1. Let x(r) = d*f(r) + y*a(r). Differentiate x(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*s - 2*k + 26, -16 = s - 5*k. Let j = s + 17. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4505350 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 639 and 209663?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221 + 1?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 13*m - 10. Let f be c(-9). Suppose -5 = 3*k - f. Suppose 12 = -a - 5*s, 0 = -3*s - 9. Solve 1 = -a*l + k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -2\/7 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20\/18 + -1)\/((-21)\/(-287)) and 85\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/15 + 2*r**4\/3 + 2*r**3 + 8*r**2\/3 + 12*r. Suppose z(u) = 0. Calculate u.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 9*n + 8. Let f(v) = 2*v**2 - 9*v - 6. Let a(g) = -3*d(g) - 4*f(g). Let j be (8 - -1)*21\/((-126)\/(-4)). What is a(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q - 26*q + 113 = 2*v - 159, 4*q - 4*v - 272 = 0 for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 73073458.\nAnswer: 73073457.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -179, -360, -585, -848, -1143, -1464?\n\"Answer: s**3 - 31*s**2 - 45*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**6\/7 - 9*v**5\/7 - 93*v**4\/14 + 121*v**3\/7 - 9*v**2\/7 - 120*v\/7 - 2321. Solve n(y) = 0.\nAnswer: -4, -1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 1028 - 3823 = 0. Does 63 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = 80 + 18 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x**4 + 2*x**2 - 19. Let p(m) = m**2 - 1. Let l(j) = -o(j) + 2*p(j). Find the first derivative of l(z) wrt z.\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)\/((f**(-4)\/f)\/f) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhaahhahfhahhth. What is prob of picking 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (0 + -1 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 65. Suppose 2*j - 12002 = g + j, 0 = -t*g - 2*j - 59996. Round g to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eok. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.02, 16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*w, 0*w = -4*j - w - 25. Which is the third biggest value? (a) j (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = -12. Let c(m) be the second derivative of -m**3\/2 - 2*m. Let d(h) = -6*h. Let s(z) = -5*c(z) + 2*d(z). Calculate s(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32147, 64300, 96453, 128606, 160759?\nAnswer: 192912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 803775 and 1575.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944035 is divided by 236002?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 13. Let h be m(-2). Let i = -33 + 33. Calculate the remainder when 158\/2 + i + h is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 122 + -45 + -1 + (16 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9207.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16.03 (b) 4 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f + 1 - 3*f - 2)*(33*f + 14477 - 14477) to b*f**2 + y + l*f and give b.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k + 24*k - 104*k + 40*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128731741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1992, -51\/23, 0 in ascending order.\nAnswer: -51\/23, 0, 1, 1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**2*x))**(-3\/20))**18\/((x\/(x**(-7\/2)\/x))\/(x**(-7)\/x)*x**2*x\/x**1) assuming x is positive.\nAnswer: x**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (5 - -20 - 11) - -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207661 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 45?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1999244 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933366 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1797160, 1797158, 1797156, 1797154, 1797152, 1797150?\nAnswer: 1797148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1. Let d(b) = -19*b - 2. What is -2*d(m) + 2*f(m)?\nAnswer: 38*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (3 - (-5 - -3) - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 445523?\nAnswer: -445515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 3. Let j(i) = 2*i - 2. Let a be ((-8)\/(-14))\/(6\/21). Let l be j(a). Let t(f) = 0*f - f + l*f - 1. Calculate -2*k(q) - 4*t(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-3*6*(-2*sqrt(684) + -4) + -4 + -5))**2.\nAnswer: 108864*sqrt(19) + 3561736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1043094 or -1043073?\nAnswer: -1043094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 483*z**2 - 54*z + 243450 wrt z.\nAnswer: 966*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3570)\/65)\/(-7))\/((-116)\/(-377)).\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1273 - 1165. Calculate the greatest common divisor of i and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-36))\/(2\/(-12)). Suppose 0*x + l = x. Let p = 0.7 - 1. Is x greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198172?\nAnswer: 2, 13, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42592250 rounded to the nearest 10000?\nAnswer: -42590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*n = -6, 3*p - 6 = n - 2*n. Suppose 2*k + p = -k. Let t(i) = -2*i. Let m be t(k). Solve 0*v - m = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 - 3*j - 1. Let s(b) = -9*b**2 + 7*b + 2. Determine -7*l(x) - 3*s(x).\nAnswer: -8*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -3. Let g = -15 + q. Which is the biggest value? (a) 2 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose -c*m = -s - 6, -3*s + 8*s = -5*m + 70. Suppose 2*f - 4*z = s, 5*f - 55 = 3*f - 5*z. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npl when three letters picked without replacement from nllpllllnnlnnpllnpn.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w - 10. Suppose -10*q - 14 = -3*q. Let d be y(q). Solve -35 = 3*b + 2*s - d, -4*s = -4*b - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(72) + 1 + sqrt(72) + 1 + sqrt(72) + 1 + (sqrt(72)*-1 + sqrt(72) + 2 - (5 + (sqrt(72) - 1*sqrt(72)))))**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2792791112 + 38277994947921\/13706. Let o = 6\/623 + j. Find the common denominator of o and 37\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b - 33 - 205 = 0. Let o(d) be the first derivative of -3 + 0*d - 1\/3*d**3 - 4*d**2. What is o(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 2}. Give prob of picking 2 w and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*h = -14, -2*h - h = 12. Let s be (-2 - -5) + t + -2. Solve -2*q - 2*q + 12 = s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/7, -3, -2, 20, 5.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 201927*l**2 - 57511 wrt l?\nAnswer: 403854*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5190 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**(-1)*y)\/y**(3\/4)*y*y*y**(-2\/11)*y**(2\/11)*y*y*(y**(2\/15)*y*y*y\/y**(3\/4)*y*y)\/(y\/(y*(y*y*y**(-1)*y*y)\/y))**22 assuming y is positive.\nAnswer: y**(1699\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7644, 15645, 23608, 31533, 39420, 47269, 55080?\nAnswer: 62853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 288\/36)*(-4)\/(-25).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -963\/7 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1254 and -19\/264.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 8, c: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 889008 divided by -6.\nAnswer: -148168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**8\/(n*n*n\/(n**(-2)\/n)))\/(n**7\/(n**(1\/5)\/n)))\/(n**5\/(n*n*(n**0\/n)\/n*n)*(n\/(n*n\/n**(-2\/7)*n)*n)\/n*n*n**3) assuming n is positive.\nAnswer: n**(-403\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236872 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/24)\/(-13)*-7?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(440)\/(sqrt(8) - (sqrt(72) - -2*sqrt(72) - sqrt(72))))\/(-1*sqrt(1620)\/sqrt(9)))**2.\nAnswer: 11\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6290270 and 6759110?\nAnswer: 1088216710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 48*v**2 - 2*v**3 + v + 5 + 101*v**2.\nAnswer: -2*v**3 + 149*v**2 + v - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/7))**(-23\/3)*n**(1\/3)*((n\/(n\/n**1))\/n)\/n*n assuming n is positive.\nAnswer: n**(-361\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18830607, 18830608, 18830609, 18830610?\nAnswer: 18830611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2287.995335 + -2288. What is k rounded to four dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - ac?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a factor of 2395441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692056660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4177, 8379, 12581, 16783, 20985, 25187?\nAnswer: 29389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/310 - (-3 + 192\/93))*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -3301?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 304234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33848 and 32824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -13*h**4\/24 + 2450*h**2. Let c(l) = -480*l. Determine -6*c(p) + 225*i(p).\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770916201 and 913?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1100) + 2 + sqrt(1100)) + (sqrt(1100) + 0 + sqrt(1100))*-4)**2 + (-1*sqrt(110)*5)\/(sqrt(10) - (sqrt(10) - 2*sqrt(10)*4)) + -5.\nAnswer: 3195*sqrt(11)\/8 + 4495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 47066418*k + 184603975279227.\nAnswer: 3*(k - 7844403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b**3 + 137*b**2 - 8*b**3 - 8*b**3 - 10*b**3 - 2*b - 11*b**3.\nAnswer: b**3 + 137*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + -47. Is 1769\/11 - (230\/u - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = -b - 6*r, 4*b = 4*r + 36. Let n(p) = p**2 - 2*p**2 - 7 - 2 + 4*p + b. Calculate n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 32. Which is the fourth biggest value? (a) 4\/9 (b) i (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.6, -0.18, -5, -1?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((0 + -1)*-1). What is the least common multiple of (v - (-2 - -5))\/(-2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5207a (base 11) in base 4?\nAnswer: -102202302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 16 = 4*z, 3*z = -3*p. Let b = -389\/5 + 78. What is the third biggest value in 4, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 30371294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2278 divided by 3.\nAnswer: -2278\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12*b = 672. Suppose -32*p + 494 = -6*p. Calculate the remainder when b is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1 - sqrt(88))\/sqrt(8) + 6*(sqrt(11) + -1) + 5.\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 5*d. Let v = 6 - 12. Give l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1231 = -2*d, d = -7*t + 8*t + 608. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 5*d + 31. What is the tens digit of n(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooorr. Give prob of sequence ror.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 17*h**7\/105 + 77*h**3\/6 + 37*h**2 + 19*h - 1. Let j(o) be the first derivative of n(o). Differentiate j(l) wrt l.\nAnswer: 136*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 2*v**3\/3 - 7*v**2\/2 + 6*v + 11. Let j be i(-6). Suppose -j = -f - 2*f. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 97*j - 71*j - 245 = 2*k - 216*j, 5*k + 5*j + 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10011111000010?\nAnswer: 10011111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9105*i**3 + 6*i**2 + 9*i + 3. Let t be x(-4). Let n = -1162657 - t. Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 180. Suppose 4*r - r - l = 0. Let u = 412 + -292. Calculate the greatest common factor of u and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + b + 2. Suppose 2*s - 4*s + 22 = 0. Let x(n) = -13*n + 14 - 31 + 28. Let h(o) = -7*o + 6. Let u(a) = s*h(a) - 6*x(a). Give 2*u(i) - y(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4642*n - 26775 = -4693*n. What is the highest common factor of 483 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 15 - (-31 + 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -38*w**3 - 7*w**2 + 14*w - 46. Let x be n(4). Let z = -1081 - x. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 17 = -141. Let w = 61 - c. Suppose 2*n + 2*n + w = 4*b, -3*b = -4*n - 105. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 63*t - 27*t - 17*t - 27*t. Let p(j) = -2*j. Calculate i(p(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.541 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3*(-5 + sqrt(162))*6)**2 - 6*((-5 + sqrt(162) - sqrt(162))**2 + 0)) + -1.\nAnswer: -29160*sqrt(2) + 60439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*r - 20, r - 2*j = -18 + 8. Put r, 4, 3, 2 in descending order.\nAnswer: 4, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 8*o**2 - o + 10. Let g be s(8). Is 4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 14*x + 24*x + 102 + 15*x.\nAnswer: 45*x + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 793218 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 74 = 0. Which is greater: w or -76?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-8)\/14*(-69)\/(-138)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -96 in decreasing order.\nAnswer: 5, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 t when four letters picked without replacement from {t: 4, n: 6, y: 1, w: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1768158 (base 9) to base 5.\nAnswer: -223140431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y - 29. Let v = -6 - y. Let s(q) = -5*q**2 - q + 12. Let x(g) = g**2 - 1. Let d(r) = s(r) + 4*x(r). What is d(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 531, 0, -9, 4, -47 in increasing order.\nAnswer: -47, -9, 0, 4, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000644 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w + w)*(-4 - w**2 + 4 + (w - 2*w - w)*(0*w + 5*w - 4*w))*(-5 + 1 + 1)*(-40 + 2 + 15)*(-2 - 2 + 10).\nAnswer: 1242*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20137993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7447 * 93.\nAnswer: -692571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:10 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/12 - 15*o**2\/2 - o. List the prime factors of i(-11).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = -2*n, -u - 2 = 3. Suppose 28 = 2*f + 4*p, -n*p + 24 = 3*f - 24. Suppose -3*a + f = 2*l, l = 3*a - 0*a. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9196623?\nAnswer: 3, 163, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -29 (c) -1 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84422377*q**5 + q - 185942358 wrt q?\nAnswer: -1688447540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5929881, -11859766, -17789651, -23719536, -29649421?\n\"Answer: -5929885*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 566, 1124, 1670, 2198, 2702, 3176, 3614?\nAnswer: 4010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:44 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 0*u**4 + u**4 + u**3 - 3*u**3 + 3*u**3 + 2 + u**2 to the form n*u + b*u**2 + g*u**4 + a + l*u**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51389413, -51389414, -51389415, -51389416, -51389417, -51389418?\n\"Answer: -d - 51389412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -147 - 143 - 146 + 437. Let h(b) = -3*b + 1. Calculate 4*c(m) + h(m).\nAnswer: -3*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 10*u - 25. Give d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 7. Let a(q) = -2*q - 6. Let j be a(-5). Suppose -v = -c + 3*v + 18, j*c = -3*v + 72. Solve -5*d + h = -c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -225401, -23 in decreasing order.\nAnswer: 3, -23, -225401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*15\/12*(-72)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15764 divided by -3.\nAnswer: 15764\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 11*y + 4. Let o = 132 - 122. Suppose 2*k = -0*k - 4*v - o, -5*k - 37 = -2*v. Give p(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15741*c**3 - 29*c - 14610591 wrt c.\nAnswer: -47223*c**2 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51583405 to 4 decimal places.\nAnswer: 0.5158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-2))\/(3\/(-4)). Let f(b) be the third derivative of -b**4\/12 - 172*b**2. Determine f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108864, 217682, 326500, 435318, 544136?\n\"Answer: 108818*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4650 (base 13) to base 15\nAnswer: -2dcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 4*f - 1. Let k(z) = -z**2 - z + 8. Let o be k(3). Let n be l(o). Which is the closest to -4? (a) 2 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o - 3*o + 4*o)*(-1 + 1 + 2) - 65 + 65 - 4*o)*(2*o + 4*o - 5*o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7488 + -37438\/5. What is the closest to 3 in f, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2012 and -9 + (411\/685 - 353\/(-20))?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 - 6660*v**2\/7 - 1043559*v\/7 - 42450018\/7.\nAnswer: -3*(v + 83)**2*(v + 2054)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166760731.\nAnswer: 883, 188857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468450 and 90720.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let j(u) = -398*u. Calculate g(j(r)).\nAnswer: -796*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 175 or 524\/3?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)\/(4\/(4 + -8)). Let k(x) = -17 + x + 4 - c. Let r(h) = -2*h. Give r(k(t)).\nAnswer: -2*t + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110000011010 (base 2) in base 5?\nAnswer: -212234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 17*b**4 + 10576*b**3 - 171357*b**2 + 576224*b + 70180 = 0.\nAnswer: -638, -2\/17, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37090 + 63933. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60112 and 148999152?\nAnswer: 1936988976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:06 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + 2*p**2 - p - 2. Let i be (2 - 0 - 0)\/(-1). Let k(n) = -14*n**3 + 11*n**2 - 5*n - 11. Calculate i*k(m) + 11*h(m).\nAnswer: -5*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/(o\/(o\/(o*((o*o*o*o**(-4\/7))\/o)\/o*o))))**(-5) assuming o is positive.\nAnswer: o**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 16*o - 8. Calculate f(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 7*d + 5. Let w = 29 + -18. Let g = w + -7. Let x be z(g). Solve r - 2*j - j + x = 0, 4*r - 3*j = -9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57698850 divided by 5245350?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*((-120)\/65 + 2))\/(2\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5828816 and 50?\nAnswer: 5828866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/15)\/(6\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 4*a - 42. Factor -10 + 38*l - 17*l + 3*l**a + 10 + 9 + 15*l**2.\nAnswer: 3*(l + 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -243, -397, -573?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 413\/30 in 2, -0.1, 3\/7, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/6 + 9*t. Let k(y) = -2*y**2. Give k(r(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcpp when four letters picked without replacement from ppicpicciiicipic?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 5. Suppose 3*y = 4*h - 0*y + 16, 0 = -5*y. Let b be x(h). Sort b, -3, -1.\nAnswer: -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - 10*d + 9. Let g(r) = 20*r**2 - 29*r + 26. Let q(s) = -6*g(s) + 17*k(s). Let u be q(3). Let c(b) = -b - 5. Calculate c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*h + 31. Solve 3 = -3*p + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*w + 234, -277 = -4*m - 2*w - 81. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-36 - -21) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-50)*((-69)\/230 + 42\/(-60))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - (5 - 2)) + (3 - (188 + -171))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(5) + -1)*5 + -1*sqrt(320)*-4 + 0)**2.\nAnswer: -350*sqrt(5) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 296268*u - 3554640.\nAnswer: -4*(u - 74055)*(u - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 8, -79, 0.4, 0.1, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 - 8*m + 3. Let s(j) = -9*j**2 - 15*j + 7. Let r(f) = -7*b(f) + 3*s(f). Determine u, given that r(u) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w + 91 = 4*o, -106 = -4*o - 2*w. Solve 3 = m + 3*i - 9, -4*m + o = 4*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 3*i + 5. Determine h(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spppusspu. Give prob of picking 2 p and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 506*q - 2. Let y be m(-4). Let o = y - -8243\/4. Which is bigger: o or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 6 - 23 - -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/214872 and 179\/120?\nAnswer: 1074360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4320 and 1656.\nAnswer: 99360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166086, 332158, 498236, 664320, 830410?\nAnswer: 996506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, 1 d, and 1 k when four letters picked without replacement from {d: 2, b: 1, p: 8, s: 1, k: 3, j: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -656 or -4593\/7?\nAnswer: -4593\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/9))\/u)\/(u**(2\/5)\/u))**12\/(u*(u\/(u**0*u))\/u*u**1)**(3\/11) assuming u is positive.\nAnswer: u**(1583\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/1312)\/(9\/(-24)))\/((-4)\/(-58)*29)\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504 + 27*k**2 - 504.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9017*q. Let f(o) = 6*o - 6. Calculate f(u(n)).\nAnswer: 54102*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11035783 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713520482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28 - 30\/(-11 + 5). Calculate the greatest common factor of w and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 - 2*z**2 - 11*z - 11. Let j(y) be the second derivative of y**5\/10 - y**4\/12 - 2*y**3\/3 - 2*y**2 + 124*y. Calculate -11*j(v) + 4*m(v).\nAnswer: 2*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9527325.\nAnswer: 3, 5, 127031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1369008, 1369225, 1369442, 1369659, 1369876, 1370093?\nAnswer: 1370310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose a - j = 82, b*a + j = -j + 389. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*y - 18486 = 0, 3*t - 4*y + 6276 = 17376. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, l: 2, w: 15}. What is prob of picking 1 l and 2 w?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491.687*0.3.\nAnswer: -147.5061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u**2 - u**3 - 4*u**2 + 0*u**2 + 0*u + 1 + 29 - 20*u. Is j(-12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30a (base 14) to base 9.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 25253\nAnswer: -21\/25253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 85283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55460 is divided by 44967?\nAnswer: 10493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 54 = 3*z, -6 - 8 - 16 = 3*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 825*x**2 + 3268*x + 62. Give n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/12 + w**3 + 10*w**2 - w + 2. What is the hundreds digit of b(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1826664 and 112?\nAnswer: 3653328","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*x - 3*x, 0 = 2*q + 5*x + 9. Solve -4*p = -q*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38729 at least 43685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*f**3 - 69*f**3 + 2.\nAnswer: -77*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1416)\/(-40))\/(6\/290) - 0\/1. What is the highest common factor of 145 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 1312 = 1116 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/10 and -59\/191528852.\nAnswer: 957644260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 10. Let w(s) = s. Let g(a) = -d(a) + 2*w(a). Let p be g(7). Let c(v) = -v**3 - 2*v**2 + 6*v + 1. Does 8 divide c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 18*o - 3*x + 48 = 0, -4*o = 5*x - 63. Solve -15 = -5*y + 10, o = -4*d + y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Suppose -224 = 4*h + s*a, 0*h + 3*h + 2*a + 164 = 0. Let r = -33 - h. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1365\/(-63)*18\/(-16 - -7). Determine c, given that 2*c**4 + k*c**2 + 8 + 55\/3*c**3 + 100\/3*c = 0.\nAnswer: -6, -2, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-6) - 3) + (-2)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -146, -118, -74, -14, 62, 154, 262?\n\"Answer: 8*p**2 + 4*p - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-6))\/((-90)\/240*(-44)\/11).\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6530488.31 rounded to the nearest 10000?\nAnswer: 6530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -558, -560, -564, -570, -578, -588?\n\"Answer: -c**2 + c - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s)**(-28)\/(s**(1\/11)*s*s\/((s*s*s*s**14*s)\/s)) assuming s is positive.\nAnswer: s**(1262\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, 5.63, -5, -10, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6 from -0.0827686652.\nAnswer: 1.5172313348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 149. Let c(p) = -28*p - 748. Let u(z) = 2*c(z) - 11*y(z). Is u(-10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 3:09 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z + 9. What is p(-12)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(30)\/(sqrt(6) + sqrt(30)\/sqrt(5)))**2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1963, -7719, -17311, -30739, -48003, -69103?\nAnswer: -94039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -138. Let n = 44 - o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010001010110010 - 101?\nAnswer: -110010001010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o*t**6 - 1279*o*t**4 - 13*o*t + 839*t**2 wrt t.\nAnswer: 960*o*t**3 - 30696*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -5*s - 2, 69*b - 3*s + 42 = -0*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {z: 5, d: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 7596267.\nAnswer: 1\/2532089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132098104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 0 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454724 is divided by 7074.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2135\/9 - -237. Let h = -0.07 + 0.37. Let x = -0.5 + 1. Which is the third biggest value? (a) z (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*d - 4530 = -116*d - 5286 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = -24 - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 13695.\nAnswer: 13695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8275 by 2.\nAnswer: -8275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (2*(-14)\/49)\/(4\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5077.339 less than 8694?\nAnswer: 13771.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/53 or -1513503?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 840 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000086288182 rounded to seven decimal places?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6371 - 6371 + 84*a + (3 - 12 + 0)*(-4 + 0 + 3)*(-a - 2*a + 0*a) + (-6*a + 3*a + a)*(-1 + 4 - 1).\nAnswer: 53*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - 15. Let a = q + 30. Let r = -91\/114 - -12\/19. What is the nearest to a in r, 0.1, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79634 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 841, 5, 2, -1, 17, 9 in increasing order.\nAnswer: -1, 2, 5, 9, 17, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -936 and 852.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -374 + 409. Suppose 4*x - l = -r + 51, r + 112 = 5*x. Calculate the remainder when 64 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 100*k**2 + 170*k + 1130. Let q be u(-7). Calculate the highest common divisor of q and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*g = -129*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 + 46*w + 4. Let h be k(0). Let t = -1 + 1. Solve 5*a - 35 = -4*j, -h*a + 6*j - 2*j - 8 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(2299) - sqrt(228)\/sqrt(3)) - (4 + sqrt(95)\/sqrt(5) - (sqrt(19) - sqrt(19)*-4*4)))**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12555.69 kilometers in micrometers?\nAnswer: 12555690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0131 times -0.1\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + s + 1. Let a(f) = 6*f**2 - 15*f - 12. What is -a(g) - 15*l(g)?\nAnswer: 9*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*j + 1720004, 4*j = 2*u + 3*j + 1719998. Let z be u*4\/((-40)\/75). What is z rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*x + 4*i, -4*i + 2 = 3*x - 5. Suppose x*u = 20, m - u - 204 = -38. Calculate the remainder when m is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 262*s + 1. Let n(o) = o - 3. Let g be n(4). Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4699*g**3*p**2 + 1880*g**3 + 9*g*p**2 - 72276*g*p - 1 wrt g.\nAnswer: 28194*g*p**2 + 11280*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -329\/4 - -989\/12. What is the fourth biggest value in 0.07, -0.1, n, -0.2, -23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835 + 75 = -10*w. Suppose 0 = -4*y + 217 + 75. Suppose -y*i - 1602000 = -w*i. What is i rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eoeeeeoeeeeeooeeeee.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/14)\/(2\/20). Let t(l) = 7*l**3 + l**2 - 5. Let r(g) = -g**3 + 1. Give i*r(y) + t(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/337 and -23\/3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-9))\/5*-12. Let l(k) = -k**3 - 8*k**2 - 4*k + 6. Does 11 divide l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m + 176. Is l(-12) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -584*o + 8 - 537*o - 8 - 261*o to the form h*o + m and give h.\nAnswer: -1382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149402 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/1273 - 151415\/22914. Calculate the common denominator of l and 41\/6782.\nAnswer: 61038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s + 16*s - 42*s + 13*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2386 - 124 = 87*s. Solve -r - 31 + s = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 - (-1 + -10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12 and (99\/(-30))\/(3024\/1365).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28 + -37 + (-3 - 74\/(-6)). Factor 1\/2*i**3 - s*i**2 + 5\/6*i**4 + 0*i + 0.\nAnswer: i**2*(i + 1)*(5*i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2538 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 0*3\/9. Suppose 25 = 3*p - 0*p - 5*o, -p - 25 = 5*o. Suppose h - 2*m = -3*h + 44, p = h + s*m + 7. Calculate the lowest common multiple of 11 and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3056)\/(-48) + (-5)\/6. Which is greater: 62 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*p**3 + 43*p**3 + p - p.\nAnswer: -41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5*v = -35, -9*c + 9 = 4*v - 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*w - 1 = 2*u, 5*u - 11 = -4*w. Solve u = l + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11209046*t**3*w**3 + 988*t**3*w + 1746*t*w - t - 2*w**4 wrt w?\nAnswer: -67254276*t**3*w - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(153)*5.\nAnswer: 5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009352 rounded to five decimal places?\nAnswer: -0.00935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 459, 649, 801, 903?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - 10?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*q + 2003*j - 1998*j = -5, -4*q - j = -29 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/9))\/f*f\/(f*f**(-1))*(f**2\/f*f)\/f**(-1) assuming f is positive.\nAnswer: f**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18753, 37505, 56259, 75015, 93773, 112533?\nAnswer: 131295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 15, -21, 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -5*u - g - 0*g, 3*g = u - 108. Suppose -2*r = 5*l - u, 2*r = 3*l - 2*r - 77. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-4)\/12 + (-856)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.105 - -1.105. Which is the nearest to -3\/4? (a) o (b) 3\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18665 = -0*i + i, -18647 = i - 4*a. Let g = -9774 - i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(20)\/(sqrt(20)\/(sqrt(2)*2 + sqrt(2))))**2)*-6 - ((sqrt(98) - (sqrt(98) + -1)**2) + -4 - 2*sqrt(32)*6).\nAnswer: -11 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 585 - 583. Factor 2\/5*u**q + 8\/5*u + 6\/5.\nAnswer: 2*(u + 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0 - 2. Let r be -3 - -3 - (-4 - s). Let h be (4\/(-5))\/((-6)\/60). Calculate the greatest common divisor of h and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000654 to five decimal places.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u + 6. Let g = 53 + -45. What is the units digit of q(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6789 by 2263.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:46 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z\/(z\/z**2*z)))**39 assuming z is positive.\nAnswer: z**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r + 1. Let v be i(-3). Find the common denominator of (-32)\/(-80) + 258\/v and -57\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -26. Is u smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((7 - 2) + 0)) + (16 + -13 - -35)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 15*j**2 + 228*j - 2558. Give r(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -82*v**2 + 10*v + 167. Let o(r) = -41*r**2 + 4*r + 84. Let a(g) = 2*b(g) - 5*o(g). Differentiate a(j) with respect to j.\nAnswer: 82*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/3400 and -57\/272?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/106150 and -37\/300.\nAnswer: 636900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**1*x))**(-28))**31 assuming x is positive.\nAnswer: x**868","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ycccyyyccyyccyycyyyc.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2501, -2503, -2505, -2507, -2509, -2511?\nAnswer: -2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/5 + 66594*h**4\/5 - 266204*h**3 - 399396*h**2 + 11979342*h\/5 + 12578706\/5 = 0. Calculate h.\nAnswer: -3, -1, 3, 21, 33277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:16 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6314 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, d: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -14. Suppose -3*h - 2*r = -d*r - 95, 0 = -2*h - 3*r + 52. Suppose -h = -5*w - 9. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -13*q + 11*q, -1 = -3*q + 2*o. Solve 0 = i - q - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.03373305.\nAnswer: -0.00674661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 327298 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136669 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 5. Let f(j) be the second derivative of j**3\/6 - j**2 + 24*j + 1. What is -8*f(l) - 3*i(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 879*n = 877*n + 6, 21 = -5*y - 2*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + 5 - 5)*(-l**2 + 2*l**2 - 4*l**2) + (-12 + 12 - 8*l)*(-5*l**2 + 0*l**2 + 3*l**2))*(-4*l - 9*l + 15*l - 9).\nAnswer: 26*l**4 - 117*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22005 + 6?\nAnswer: 22014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-8 - -7) + -107 + 52 + (33 - 75).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 44, -14, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4113 + -4121. Let l(n) = 3*n + 7. Determine l(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.50289 decades in years?\nAnswer: 835.0289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/289 and 93\/2890.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {m: 1, l: 1, r: 1, h: 1, z: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by 1\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 9. Suppose 0 = o*d - 3 - 756. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-210*c**2 + 24 + 116*c**2 - 2*c + 96*c**2)*(1 - 1 - 2*c**2) as y*c**4 + n*c**3 + r + i*c + q*c**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 1d7487?\nAnswer: 1d7490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - f42b8?\nAnswer: -f42b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30.92 and -1806360.\nAnswer: -1806390.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -58*q - 8346. Let k(y) = -37*y - 5564. Give -7*f(u) + 11*k(u).\nAnswer: -u - 2782","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52648, 105312, 157990, 210688, 263412, 316168, 368962, 421800?\n\"Answer: p**3 + p**2 + 52654*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/4 - 5*s**3\/3 + 2*s + 2. Let v be x(-5). Is v bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382.3686 milliseconds to hours.\nAnswer: 0.0001062135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*o - 2*o - 176, -178 = -3*b + 5*o. Calculate the remainder when (15\/2)\/((-999)\/(-3402) - 2\/9) is divided by b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36254 and -360168.\nAnswer: -396422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - p + 1365. Is (-12)\/10 + 1 - (-86229)\/p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5\/7)\/r*r\/(r\/r**1*r))\/(r**1)**50 assuming r is positive.\nAnswer: r**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407841277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5427 + 8787. Is a a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11951, 807, 2 in ascending order.\nAnswer: -2, 2, 807, 11951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -2*2\/4. Let g be 1 + 21*-10 + o. Calculate the remainder when 17 is divided by (-2)\/8 + g\/(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 6*l - 82 + 314 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pav when three letters picked without replacement from pooyoaaovypqaqvv.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d - 259*d = -7325 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 513*i + 10. What is the tens digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-77) - (-326)\/(-22). What is the smallest common multiple of 33 and 90*(25\/h + 2)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r**2 - 1 + 10*r - 12*r + 88*r**2. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 645230 and 2?\nAnswer: 645230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 36. Let t(p) = 11*p + 9*p - z*p - 10 + p**2. Determine t(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7129309 to the power of 1\/2, to the nearest integer?\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -p - 4*p. Let d be -20*-2*(-3)\/p. Solve 0*w + c = -4*w - 9, 5*c + d = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2. Let l(t) be the first derivative of 0*t + 8 + 0*t**2 + 1\/3*t**3. Give l(s(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 1958125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -780835+-20.148\nAnswer: -780855.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - m + 0)*(4*m - 3*m**3 - 4*m) + 0*m**4 + m**4 - 2*m**4.\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 - -149. Let s(x) = -5*x**3 + 4*x**2 + x - 2. Let l(q) = q**3 - q**2. Let p(w) = -6*l(w) - s(w). Determine p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**2\/2 - 3. Let o(i) = -i**3 + 8*i**2 + 9*i + 3. Let j be o(9). Let a(b) = -b + j*b + 0*b. Determine y(a(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 283*m + 7538. What is b(-108)?\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 2. Suppose 4*i + c = -6. Let j(g) = g - 10. Let p(r) = 1. Let v(f) = 2*j(f) + 22*p(f). Calculate v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(168)\/sqrt(3))\/sqrt(8).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 15. Determine d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37883 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.8 (b) 0.4 (c) 1\/48 (d) 9 (e) 5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -141, -279, -457, -681, -957?\n\"Answer: -c**3 - 11*c**2 - 64*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 0, 1, 3, 4 in descending order.\nAnswer: 98, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (20 - 17 - (15 + -4 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-3 - 3*j + 3)*(-5*j - 4*j - 1 + 39*j).\nAnswer: 90*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002819 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24207 or -24217?\nAnswer: -24217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -94 + 9. Let j = 12 + z. Let w be (-92)\/j - (-12)\/(-30). Solve -2*y + 4*c = 18, 3*y = 2*c + c - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:08 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, 194\/19, -2.72, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -11 - 12 - 26?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 334*j - 332.\nAnswer: -2*(j - 166)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16288620 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = 0, 7*b - 2*b - 19 = w. Suppose -33 = -7*p + b*p. Let q(l) = -l**3 - 2*l**2 - 4*l. Calculate the remainder when q(-3) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 40. Suppose 7*q - 116 = t*q. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334592 is divided by 442?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -100101011110 (base 2) to base 11\nAnswer: -1890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 66 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2118*i**5 + 3*i**3 + 714570*i wrt i.\nAnswer: 42360*i**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2613175*p**3 + 2828845.\nAnswer: 7839525*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2)*(-2)\/(-4). Suppose q*p + p + 2*j = 15, 4*j = -5*p + 75. Suppose -2*c + 5*c - 62 = d, -p = 3*d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41d6 (base 14) in base 8?\nAnswer: 26140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*d**2 + 698*b**2*d*z**3 - 17*b**2*z**3 + 8*b*d**2*z**2 + 3*b + 2*d**2*z**3 - 3*z**2 - z wrt b.\nAnswer: 2*d**2 + 1396*d*z**3 - 34*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 7304142*a = 0 for a.\nAnswer: -3652071, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, w: 3, h: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 7*n**2 - 2*n - 2. Is 26 a factor of u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1050010012 (base 6) to base 2\nAnswer: 101011110010011010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2458 + 4690. Let q = 17831\/8 - s. Find the common denominator of 1\/(-3) - 17\/(-9) and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 4364457.\nAnswer: 4364456.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnnnybnnnpp. Give prob of picking 3 n.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227755*t - 86619*t**2 + 227755*t.\nAnswer: -86619*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194930*j = -194977*j + 940 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*t - 24 = -t, 0 = p + 4*t + 19. Let b = p - -9. Let u(s) = 3*s**2 + 4*s + 3. Calculate the remainder when u(-1) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = 12, -3*t - 2*r = 12. What is the tens digit of 65 - (-5 - t)*4\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:31 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8731395*a**2 + 1819596?\nAnswer: 17462790*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6802.47 rounded to the nearest ten?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -132?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(16\/7)\/(b**15\/b))\/(b**9*b*b\/(b**(-14)\/b)) assuming b is positive.\nAnswer: b**(-264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1798*d*w**3 - d*w - 13*d - 5*w**4 + w - 80 wrt w?\nAnswer: 10788*d*w - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3\/3 + 818*j**2\/3 + 6689*j\/3 + 1240.\nAnswer: (j + 8)*(j + 155)*(5*j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 67. Which is bigger: s or 35?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412 + 412 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6115, -4, -2 in decreasing order.\nAnswer: -2, -4, -6115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/4662*-3*10\/30*-6?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 28*b + 369. Find z, given that -3 - 1\/3*z**2 + b*z = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31483 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 - 1734*z**2 + 501126*z - 48275138 = 0. What is z?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11826*j + 11844*j - 178776 = 0. What are the prime factors of j?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 19 + 10 + -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let f = c + 3. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 11. Let c be (o\/(-12))\/(2\/(-6)). Let j = c - -9. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*r, 5*r = -5*q + 3*r + 148. Calculate the greatest common divisor of q and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2504 - -4?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 9:56 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56956844261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -195, -390, -583, -774, -963, -1150, -1335?\n\"Answer: y**2 - 198*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 0*u**4 + 0*u**3 + 10*u + 7*u**2 - 4\/5*u**5 - 74. Differentiate w(n) with respect to n.\nAnswer: -16*n**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1854 - -0.02?\nAnswer: -1853.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175)\/(sqrt(60)\/(sqrt(12)*-2)))\/(2*sqrt(605)*-5).\nAnswer: sqrt(7)\/55 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahhp when four letters picked without replacement from hhahkhhhp?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 120\/(-9))*24. Is v + 3*(-4)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152312446*h**6 - 136995535*h**2 wrt h?\nAnswer: 18277493520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8) + -4 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -69, -70, -47?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 3447.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -361656 and 0.08?\nAnswer: -28932.48","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8 + 4 = -3*a, -3*k + 19 = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 114\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -171*f + 304. Let l be x(-5). What is the greatest common factor of 38 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 30 = -246 + 68 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/233, 0.5, -0.03, 5 in decreasing order.\nAnswer: 5, 0.5, -4\/233, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 532572?\nAnswer: 532572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (120 - 115 - (-1 + 12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u + 73158 - 24403 - 24406 - 24346.\nAnswer: 15*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-20) + 2\/(-8). Suppose 0 = 3*p - 0*p + 3, j = 5*z - 5*p + 200999995. Round z to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -182 - -403. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 1169. Suppose -8*b = -4*b - a. Does 49 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 0.19, -0.001, -0.1, -9.4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(1008))**2 + sqrt(1008) - (sqrt(1008) + -1 + sqrt(1008) + 5 - sqrt(1008)).\nAnswer: 96*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8310827*k - 8310935*k = -7236 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 13, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 54*c**2 + c - 13. Let r be s(18). Solve -9 = o - r*d + 4*d, -3*o + 5 = 5*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -800 - -903 - (53 + 1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:19 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01775987 rounded to 4 dps?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3739 + -3737. Which is the second biggest value? (a) 17 (b) -16 (c) o (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 33104*x\/3 - 11034.\nAnswer: -2*(x - 16551)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -63. Suppose 2*x = 6*x - 8, 3*x = -p*n + 5925. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 150. What is i(31)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417406609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -478 - -305. Let n = 327 + x. What are the prime factors of n?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + -1 + (0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 28*v**2 - 31*v + 83. Does 5 divide u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 20997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/60478 and 42\/71.\nAnswer: 4293938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*u + 182 = 3*i, -3*u - 329 = -2*i. What are the prime factors of i?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbn when three letters picked without replacement from {b: 1, d: 1, n: 1, o: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s = 204. Let n = s - 44. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 28 - 5*s + 68 to r*s + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 7*d**2 - 9*d - 20. Let h be n(-6). What is the remainder when h*((-187)\/2 - 5) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*f - 11 + 3, -5*b - 2*f = 0. Suppose -5*z - 50 = 4*k, -b*k = 2*z - 6*z + 38. What is the remainder when k\/(0 + (-3 - -2)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 187*n - 5226. Calculate u(116).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632297 is divided by 272047?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-54)\/45)\/(2\/5). Let w = 2512\/5 - 502. Which is the nearest to w? (a) -5 (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7681, 31119, 70809, 127255, 200961?\nAnswer: 292431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 4*n**2 - n - 3. Let f be s(-3). Let d(m) = -m + 9. Suppose -4*q + 3*q = -4. Let r be d(q). What is the greatest common divisor of f and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 1. Let b be g(10). Suppose 15 = -2*w + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5436398 to the nearest integer?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -36 - (11 - 1 - (19 + -7))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -134906194524.7 and 173.\nAnswer: -134906194351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 + 200.54. Let k = l + 0.46. What is the second smallest value in 0, -0.1, k, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 - y. Let f(o) = o**3 + o**2. Determine 4*f(i) + r(i).\nAnswer: 4*i**3 - 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-7) + (-7)\/(28\/16). Calculate the common denominator of 101\/72 and (2 + 254\/(-126))\/(s\/186).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115\/6 in -2\/5, 6\/7, 4\/9, 2\/79, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163427, 326855, 490283?\nAnswer: 653711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84943358.\nAnswer: 2, 42471679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 470597.9008279 + -470598. Let s = d + 0.0991. What is s rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.95484 and 391.\nAnswer: -373.34244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1136 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*w**2 + 297*w**2 - 68*w**3 - 12*w + 71*w**2 in the form b + t*w**3 + x*w + f*w**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**4\/4 + 2*b**3 - 7*b**2\/2 + 12*b - 1120. What is s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 63*o + 191. Let z be b(-3). Calculate the highest common factor of 9 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 30, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 89 = -5*d, 2*d + 3*i - 5 = 24. Let p = d + -6. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8384?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*z + 15 = 0, -2*a + 4*z + 21 = -a. Sort a, -4, -134 in decreasing order.\nAnswer: a, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329769863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 2*q)*(28*q - 31 + 31).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58984852 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1673*q**2 + 1689*q**2 + q - q.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3714 + 3658 = -7*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 80, 134, 240, 416, 680, 1050, 1544?\n\"Answer: 3*p**3 - p**2 + 2*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4547725, 9095442, 13643157, 18190870, 22738581, 27286290?\nAnswer: 31833997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4551567 months to decades.\nAnswer: 0.0037929725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by (2 + 0)*(-3 + 12)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55188 and 86724?\nAnswer: 607068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/4)\/h**(-14))\/(h\/h**4)**(1\/3) assuming h is positive.\nAnswer: h**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 99 + 64*b + 17.\nAnswer: 64*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 1:24 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at most as big as 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318757955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-1))\/((-7)\/(-14)). Solve -v + 5 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 23. Let z = c + 0. Sort 6, -1, z in increasing order.\nAnswer: -1, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16989 and 1014253008?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 11*o. Let u(r) = 2*r + 32. Let d be u(-21). What is b(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d7 + -111?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53459 + 892 + 162096 = 33*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32377 or 32372?\nAnswer: 32372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 6*u - 25. List the prime factors of n(9).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/30 - 31*d**5\/30 + 12637*d**3\/6 + 5*d**2 + 28*d. What is the first derivative of c(h) wrt h?\nAnswer: 12*h**2 - 124*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*b**2 + 51*b**2 - 6*b**4 + (-b**3 + 0*b**3 + 2*b**3)*(-18 + 18 - 14*b).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -18*l**4 - 68*l**3 - 150*l**2 + 224*l + 12. Let a(i) = i**4 - i**3 - i**2 + 2*i - 1. Let z(g) = -12*a(g) - s(g). Factor z(o).\nAnswer: 2*o*(o - 1)*(o + 4)*(3*o + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 11*g**2 - 4336*g - 51872. What is a(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqbiqs. Give prob of picking 1 r and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (sqrt(468) + (sqrt(468) + sqrt(468) + -1 - sqrt(468)))**2 + ((sqrt(416)*-2)\/sqrt(8) + 0)**2.\nAnswer: -24*sqrt(13) + 2078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1906, -1919, -1950, -2005, -2090, -2211, -2374, -2585?\n\"Answer: -t**3 - 3*t**2 + 3*t - 1905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 43511*n**2. Let v(d) = -713*d**2. Calculate z(v(r)).\nAnswer: 22119643559*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = x - 30. Suppose -4*i - 5*s = -105, -3*s - 72 = -5*i + x. Suppose 0*b + i = 3*b. Solve -4*j = -o + 22, -j + 5*o + b = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189375909 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 4*w - 9*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-18)*(-14 + 18) + 6\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/4 + 4*d**3\/3 - 4*d**2 - 10*d + 607. What is j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 4. Let b be l(-3). Suppose b*v + 8 = 4*v. Suppose -4*k = -5*y + 18, 3*y - 4*k - 14 = -0*y. Solve v*m - 6*m = y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 46560 = -23405. List the prime factors of j.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -11. Let q = 7 - 9. Let m = t - q. Let l(s) = -s**3 - 4*s**2 + 7*s + 4. What is l(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**4 - 20900*b**3 + 31336*b**2 - 10444*b = 0 for b.\nAnswer: 0, 1\/2, 1, 2611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 n when three letters picked without replacement from {j: 4, n: 7, i: 1, s: 1, o: 2}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*n - 26*n + 33*n)*(-1 + 1 + 3*n - n + 1 - 1 + (-3 - 1 + 5)*(-n + n + 2*n) + 4*n - 3*n - 3*n).\nAnswer: 102*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -852*v**2 + 235*v - 488. Give k(2).\nAnswer: -3426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.2. Suppose -3*z = -0*a - 4*a, 3*a - 2*z - 1 = 0. Suppose -i + 2 = -3*x, x - 5 = -a*i + 1. What is the closest to x in 4, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277354, 277357, 277350, 277327, 277282, 277209, 277102, 276955?\nAnswer: 276762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 292*x**2 - 7861*x + 250. Calculate c(262).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43679\/110 + 2002\/5. Find the common denominator of z and (-81 - 2)\/(0 - -20).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/7)*k*k**(-2\/9))\/((k**41*k*k*k)\/(k\/(k*k**(15\/7)*k)*k)))**(3\/22) assuming k is positive.\nAnswer: k**(-2867\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2\/11, 0.1, -2.5, -5 in decreasing order.\nAnswer: 1\/5, 2\/11, 0.1, -2.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 1, 3*a - 24 = -u. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 = f + d, -232*f - 2294 = -235*f - 5*d. What is the remainder when f is divided by 105?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36870*c*p*y**3 + c*p*y + 42*c*y - 2*p**2*y**3 + 18*p**2*y**2 - 2*p**2 - 2 wrt y?\nAnswer: -221220*c*p - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 914 + 4*v - 914 in the form s + r*v and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*o + 271*o - 106*o.\nAnswer: 359*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/18660896?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*1844\/15*3. Find the common denominator of v\/704 + 4\/(-22) and 1\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677, -678, -679, -680, -681, -682?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*q - 170, -4*q + 216815*b + 128 = 216811*b for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32036\/22197 + -145\/151. Calculate the common denominator of 5\/42 and s.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*l - 62 - 13, 105 = 5*r + l. Let n = 41 - r. Let z = n + -9. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 3. Let y(q) = -q - 1. Let t be y(a). Let x(s) = 4*s - 2*s - 3 - t. Give x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120011020 (base 3) to base 16\nAnswer: -780c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 135 - 3942*t - 111 as j + i*t and give i.\nAnswer: -3942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 12*v + 7. Let c be q(7). What is the units digit of (56\/6)\/(4\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 + 17 = -14*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 7*m**2 + 3*m + 1. Suppose -24 = 10*u - 4. What is the remainder when (155 - (u + -1))\/2 is divided by i(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -17*i - 1972. Let b = i - -119. Solve j = o - 1 + 6, -j - o + b = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**2*q)\/q**(-1)*(q**6*q)\/q**(1\/5) assuming q is positive.\nAnswer: q**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 16*o - 48 = 30*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.3, -0.1, -1.727, -0.4?\nAnswer: -1.727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1391 + 1338. Sort -5, 1, -1, w.\nAnswer: w, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (330\/132)\/(10\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -845*o + 1. Let f(s) = 17*s + 1. Let c(y) = a(y) - f(y). Let w(l) = l. Give w(c(g)).\nAnswer: -862*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -425 in 7, -2\/5, 93, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84840550 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 times -6196?\nAnswer: -2565144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d - 6*d + 7*d + 58 + 6. Let l be t(14). Sort 0, l, 5, -1.\nAnswer: -1, 0, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose 0*l - z*l = -30. Calculate the greatest common factor of l and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 10*u + 18560 = -u. What is the highest common factor of 56 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:21 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)*d**2)**(9\/7))**(-43) assuming d is positive.\nAnswer: d**(1935\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*c - 112*c = -254*c + 55505 for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001284751759 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3053 in descending order.\nAnswer: 3, -2, -3053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278 + 43445*a**2 + 278.\nAnswer: 43445*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102812 or -102808?\nAnswer: -102808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*s - 276*s - 8877 = -33*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252 - 180. Suppose -4*f + 56 = -r. Suppose 0 = -3*n + 5*j + 97, -5*n - j + 100 = 3*j. What is the highest common divisor of n and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*d + 2*x - 26, -2*x = 2*d - 4. Suppose -2*y + d*y = 3*q - 36, -2*y + 6 = 4*q. Let b(z) = z**2 - 12*z + 11. List the prime factors of b(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10010111111001?\nAnswer: 10010111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 58)\/(-2 + 0)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -3)*-1 - 8. Is (-16)\/24 - 1142\/w*10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 2*c**2 + c + 53. Suppose 0 = 94*m - 100*m. Let x be a(m). Solve -5*t - x = -63 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 53*n**2 + 31*n**2 - 6 + 17*n**2.\nAnswer: -5*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a. Let o(n) = -36*n**2 - 69 + 69 + 9*n. Let d(y) = 79*y - 77*y - 3*y**2 + y**2 - 7*y**2. Let m(b) = 9*d(b) - 2*o(b). Calculate q(m(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 762*k**2 - 2 + 7*k**3 + k**3 - 763*k**2 - 39*k**3 to j*k**3 + v*k + h*k**2 + f and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 28*n**2 + 4 + 1231*n**2 + 27*n**2.\nAnswer: 1286*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1222352 and 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 18 (c) -0.5 (d) 0.1 (e) 12 (f) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10 - (-98 - 18886\/(-190)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -33. Let h(i) = 0*i + 4*i - 3*i + 7. What is the remainder when p is divided by h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131388610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17615a (base 16) to base 6.\nAnswer: -52501430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-4))\/(30\/24). Suppose d*g = 5*x + 6*g - 173, 2*x = 4*g + 58. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4293507425?\nAnswer: 5, 19, 179, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-3)\/54*-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 + 4*p**2 - 4*p + 5. Let c be s(-5). Suppose -2*g + 2*i = -10, 0*i = -2*g - 2*i + 14. Is 2\/g + c\/12 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(170)*-2*-3)\/(sqrt(1000) + sqrt(40) - (sqrt(10) - sqrt(810)*2)).\nAnswer: -108*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/7 - 716*u**4\/7 - 3508*u**3\/7 + 33522*u**2\/7 + 74709*u\/7 + 38394\/7 = 0.\nAnswer: -711, -9, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 31*x - 17. What is i(18)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 11. Solve -b - 2 = 0, -2*b = 3*d + g - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 5027242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8740 - 3750*i + 95*i - 307*i - 1247*i wrt i?\nAnswer: -5209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l - 2. Let r be d(-2). Let q(o) = 0 + 6*o**2 - 4 - 7*o**2 - r*o + 2. Let f(t) = -2*t**2 - 5*t - 2. Determine -3*f(m) + 4*q(m).\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 219*f + 435. Calculate the remainder when q(0) is divided by 406.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13374 is divided by 13355.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-306))\/(-8)*-6\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2715370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -767 (b) 0.7 (c) -1 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 523*m**4\/24 + 2*m**3\/3 + 89*m**2 - 7. Let t(l) = 2*l**2. Calculate t(o(w)).\nAnswer: 547058*w**2 + 8368*w + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 o when four letters picked without replacement from hbbbbhbxboob.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*j - 18*j + 18 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1489\/2 - -7461\/10. Suppose -3*y = -3*i + y + 17, 0 = -2*i - 5*y - 4. Solve -4\/5 - 2*u - 2\/5*u**i - b*u**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -96. Let r = g + -40. Let n be r*(16\/12 + -2). Sort -2, -4, n in ascending order.\nAnswer: -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*o**2 + 1122*o**2 - 881*o**2.\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let o be l(10). Calculate the greatest common factor of 275 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**2 + 2*n - 1. Suppose 0 = -3*h + 4*g + 2, -h - 4*g + 6*g = 2. List the prime factors of q(h).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676257 to the power of 1\/2, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.1 - 6.8. Let t = -94.3 + x. Let j = -85.5 - t. What is the biggest value in -4, j, -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) - 2*sqrt(84)))\/sqrt(12) + (2 + (sqrt(7)*2)**2)*6.\nAnswer: -4*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 178. Let t(w) be the first derivative of 0*w**2 + 0*w - 5 + 1\/2*w**4 + 5\/3*w**f. Find the third derivative of t(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**2 + 1\/525*y**7 + 1\/600*y**6 + 1\/1680*y**8 + 0*y**4 + 0 + 0*y**3 + 0*y + 0*y**5. Factor r(j).\nAnswer: j**3*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*((sqrt(275) + 1)**2 + -1).\nAnswer: 50*sqrt(11) + 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 257. Let l(u) = -22*u - 4. What is l(h(j))?\nAnswer: 44*j**2 - 5658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d - 11. Let m(a) = a + 4. Let x be m(0). Let o be i(x). Suppose -2*t = 4*k - 46, 5*t + o*k = -6 + 116. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 11009.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093867 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 6a?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/560)\/(165\/4840)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/24? (a) 0.1 (b) 0.022 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45834 at most 45831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 40. Let o be (-2)\/(-1)*n\/16. Let y(p) = -7*p. Calculate y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147870769385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 15*p - 51. Solve 2 = -p*v - v - 2*b, 3*v + 4*b = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 12 = 4*h, 0 = 4*h - 3*h + 5. Let y = 47 + p. Is 31 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + (0 - (-1 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(6275\/(-12)))\/(78\/130). Let f = 4052\/2259 - w. Factor -f + 4\/9*r**2 + 0*r.\nAnswer: 4*(r - 2)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -699, -1049, -1399, -1749, -2099?\nAnswer: -2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q - 30*q + 80*q**2 + 25*q**2.\nAnswer: 105*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20973200 rounded to the nearest one hundred thousand?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23743090 divided by 2\nAnswer: -11871545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2700\/300)\/((-27)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-56156.\nAnswer: -112312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0, 2\/61, -3\/7, -1 in descending order.\nAnswer: 2\/61, 0, -1\/6, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16*4*(-1)\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**3 + o + 1. Suppose -3*n + 14 - 2 = 0. Let a = -5 + n. Calculate i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjceeeljceze. What is prob of picking 1 j and 1 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**2 + 3*z. Let p = -3 + 6. Let c(x) = 7*x**2 + 4*x. Let i(o) = p*c(o) - 4*y(o). Let u(q) = q. Determine u(i(m)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1718*i**6 - 2*i**2 - 244*i wrt i.\nAnswer: -206160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z. Let o(s) = s**2 - 2. Let t(q) = 2*q**2 - 5. Let k(y) = -5*o(y) + 2*t(y). Calculate k(u(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/42)\/(-18 - (-1095)\/60).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*d + 6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 37*g**4\/12 + 18*g - 17. Let n(y) be the first derivative of a(y). Let i(c) = -c**2. Calculate n(i(d)).\nAnswer: 37*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1180*g + 40125. What is y(-34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvtdf. What is prob of picking 1 t and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 9*n + 7*n + n)*(-1 + 3 - 1).\nAnswer: -n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-1) + 375*(-10)\/3. Let y = z - -2022. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbbrbbgggg. What is prob of sequence gb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 9649 in decreasing order.\nAnswer: 9649, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3617856533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 1 - 2*a**2 + 3*a**2 + 2*a**2.\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-5 + -2)**2.\nAnswer: 60*sqrt(11) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + ((-312)\/6 - 4))\/2. Suppose -4*n - 992 = -4*k, 0 = 5*n + k - 3*k + 1252. What is the tens digit of (2*2)\/(f\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1632 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**6\/360 - x**5\/8 + 5*x**4\/12 - x**3 - 3. Let i(g) be the third derivative of k(g). Does 7 divide i(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 14*f = 4*g, -3*g = -4*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332307906391*o + 332307906391*o - 10*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.01 + -54. Let o = -0.989943 - r. What is o rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -aa + -1a12878?\nAnswer: -1a12977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 10. Let z be (x - -3) + 6*(-3)\/6. Let o(h) = -2*h**2 + h + 1. Let l(g) = -g**2 - g - 1. Let m(j) = z*o(j) + 3*l(j). Calculate m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131846 take away 0.1616?\nAnswer: -131846.1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -30. Let i = -9.2 + c. Let r = -8.8 + i. Is r >= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1360 and -87\/88570?\nAnswer: 708560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142373247 divided by -4?\nAnswer: -142373247\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -291 - -265. What is the hundreds digit of (1 + -755 - 0)*13\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/(-27)*(-5)\/110.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((28\/(-6))\/7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 8 = 0, 0*n + 8 = -2*z - 3*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.8, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 7*w**2 + 26 + 1 - 40 + w**2.\nAnswer: 8*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 400 - 249. What is the remainder when d is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16553671 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 11 - 8)*(-1852*n + 9775 - 9775) in the form z + i*n and give i.\nAnswer: 37040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93 - o**3 - 17 + 35*o**2 - 2*o - 81*o**2 - 54*o**2 wrt o.\nAnswer: -6*o - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2260, -2255, -2250, -2245, -2240?\nAnswer: -2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccicdxixccicic. What is prob of picking 2 i and 1 x?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3257 + -0.0335. Let j = -0.0408 + y. What is the smallest value in j, -3, 1\/4, 10\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -953946 (base 13) to base 3\nAnswer: -20120102222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -545.32 + 551. Let t = o + 0.42. Which is bigger: t or 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 52620*i - 684736.\nAnswer: 4*(i - 13168)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*t - 28 = 2*i, 4*t = 3*i. Let q(x) = 5*x - 4*x**3 - 16*x**2 + 21*x**2 - 2*x**3. Let z(m) = -5*m**3 + 4*m**2 + 4*m. Give i*q(r) + 5*z(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4604 - -2216236?\nAnswer: 2224143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1846499*r**4 + 3*r**2 - 59810900*r wrt r.\nAnswer: -22157988*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299 - 277. Let c(s) = 13*s - q*s + s + 9*s. Let o(f) = 2*f. Give c(o(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -4*g - 11*f + 42542, 0 = g + 4*f - 10649. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, p: 1, m: 2, a: 1, b: 1}. Give prob of picking 1 g and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 1, a: 1, m: 2, o: 1, i: 1}. What is prob of picking 1 m, 1 a, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 460351*t**4 - 50*t**3 - t**2 - 814729*t.\nAnswer: 11048424*t - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(45)*-2 + sqrt(45))\/sqrt(9))**2) + 4 + -5 - (-3*(4 + sqrt(125)*1))**2.\nAnswer: -1275 - 359*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5310*p. Let k(q) = 14*q - 3. What is k(n(x))?\nAnswer: -74340*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 6:51 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 7*a - 42. Suppose a*n - 15121 - 2729 = 0. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-4)*1344\/5096)\/(-4).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-790)\/(-316)*(-1)\/(-25)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -308*l**2 + 312*l**2 + l**3 - 2*l + 3*l**4 + 4*l**4 as p*l**3 + a + d*l + s*l**4 + h*l**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 3*p. Let j(h) = -7*h + 212 - 108 - 104. Calculate m(j(l)).\nAnswer: -98*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 - i + 3. Let o be (20\/(-16))\/(1\/(-4)). Suppose -5*g = -t + 2 - 5, -o*t - g + 11 = 0. Calculate the remainder when a(t) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 115880.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (70\/(-160))\/((-3)\/(-52)) and 37\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*1*6 - sqrt(432) - (-5 + sqrt(432)*-2))*3)**2.\nAnswer: 7560*sqrt(3) + 190737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10234005 + -4?\nAnswer: 10234001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*g - 54 = -187*g. Solve -32*l - 15 = -g*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2 = -0, -4*b - 4*z = -16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -2094, -4649, -8184, -12675, -18098, -24429, -31644?\nAnswer: -39719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 106*u + 770. Let y(o) = -85*o - 768. Let n(x) = -4*v(x) - 5*y(x). Let z(f) = -f. Calculate n(z(t)).\nAnswer: -t + 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 61*w - 146. Let r be k(18). Does 13 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8708214mm in kilometers?\nAnswer: 0.0000008708214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123794916 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 14 = -10*s - 3*i, -4*i = -3*s - 22. Let g = -13 + 11.1. Which is the second biggest value? (a) -0.1 (b) g (c) -5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27112691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1217348.02 + 1285960. Let m = 68611.83999946 - a. Let l = -0.14 - m. Round l to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 63*z**3\/2 + 85*z**2\/2.\nAnswer: -z**2*(z - 17)*(4*z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 636568002 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: Is 4 a factor of 11113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 109, 18, -4, -5.\nAnswer: -5, -4, 12, 18, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19147, -17664, -15193, -11734, -7287?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/18 and -43\/1842?\nAnswer: 5526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 9 + 36*r - 30*r**2 - r**4 + 28\/3*r**3. Solve s(p) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 198800 or 1391610\/7?\nAnswer: 1391610\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdmy when four letters picked without replacement from {v: 1, y: 3, r: 3, d: 2, m: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*d + 34, -2*d + 3*k - 7*k + 4 = 0. Let h be 68\/d - 8\/10. Solve -h = -2*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 15184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -66408 divided by 4?\nAnswer: -16602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u + 31*u - 13*u - 9*u. Let z(h) = 7*h. What is z(m(y))?\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*y - 32, 17 = 4*y + 1. Let o be (3 - 14\/6) + 80\/6. Solve -6 - 6 = 4*b - f, o = b + s*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 5*b - 3. Let s be t(4). Let g = 1 - s. Let w = -28 - -116. Calculate the highest common divisor of w and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227052 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/1408*8 - (5 + (-13150)\/(-110)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 17*y**2 + 8*y - 8. Determine m(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28\/13? (a) -2 (b) 0.2 (c) 2 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 232. What is the remainder when b(30) is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -222671.\nAnswer: 1\/222671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(135)\/(sqrt(36)\/(sqrt(24)\/sqrt(2))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*l**4 - 18099*l**2 - 8862160*l.\nAnswer: -312*l**2 - 36198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 12 = -2*t, -5*t - 4*l - 28 = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3780.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 - 3*f - 2. Let l be g(-3). Suppose 45 = 4*r - 151. Let w = r + l. Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 331*f + 336*f + 11 = 0, -5*v + 5*f + 5 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725897 is divided by 639.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uurun. Give prob of sequence nr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 330, 747, 1332, 2085?\nAnswer: 3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 887676481 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/567*-3)\/(5\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -665612 or -665611?\nAnswer: -665612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313084 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188555137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9956179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.379 - 10.379. What is the nearest to 0.118 in n, 3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 59*z - 7. What is the remainder when 256 is divided by v(1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 48, 81, 118, 159?\n\"Answer: 2*b**2 + 23*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s - 17*s + 711 - 949 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030049214 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5114?\nAnswer: 2, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5520)\/3312)\/(1\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 69*r - 1380. What is o(-21)?\nAnswer: -2829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -11 + (2 - (-6 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 30. Suppose 7624 = -2*g + t*g. What are the prime factors of g?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -132, -133, -124, -99, -52, 23, 132, 281?\n\"Answer: i**3 - i**2 - 5*i - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.5 - -19. Let z be (-2)\/(7 + 3)*-1. Sort r, 3, z, 2 in ascending order.\nAnswer: z, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*(-6 - (-2 + -5)). Let u(h) be the first derivative of -h**4\/4 - h**2 + 5*h - 4. Let j be u(0). Solve j*i + l + 0*l = g, -l + 1 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/12 + 17*q**2 - q. Let r(k) = 9*k - 2 + 2. Calculate c(r(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 596 - 592. Let t = 9 + -9. Which is the closest to -2? (a) t (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(p + p - 3*p)*(-6 + 2 + 5) as m + u*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**3 + 1. Let z(u) = u**2 + u - 1. Let j be z(1). Let t be n(j). Suppose 10*r - 12 = 6*r. Solve -4*g = p + t, -2 = -p + r*p + 2*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**3 - 10*g**2 + 9*g + 103. Let q(w) = -3*w**3 - 6*w**2 + 5*w + 52. What is -5*q(u) + 3*z(u)?\nAnswer: -6*u**3 + 2*u + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85211097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u - 526. Let m(j) = -j - 514. Determine b(m(c)).\nAnswer: 6*c + 2558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Let u be 20*(-9)\/(-36) + -5. Let m be 24\/42*(-7)\/(-2). Solve u = -m*g + w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:26 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 3*o**7\/14 + 37*o**6\/8 + 7*o**5\/3 - 125*o**4\/6 - 40*o**3 - 177*o**2. Suppose y(w) = 0. Calculate w.\nAnswer: -12, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41041\/8100 - -1\/8100. Calculate the common denominator of 43\/130 and a.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 74*n + 8 + 6 + 173*n wrt n.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13900 and 126\/15 + 39\/15 + -1?\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 177*h**2 + 170*h - 109. Calculate q(176).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/4 + 1641*t\/4 + 2884 = 0. Calculate t.\nAnswer: -7, 1648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1238 by 1007.\nAnswer: 1238\/1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 2*a + 11*a + 19*a to the form s*a + v and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from wgmgmwwgg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*k - 0. Suppose -j - 4*j + k*u + 65 = 0, 0 = -2*j - 4*u + 2. Let q(v) = v**3 - 8*v**2 - 10*v + 12. Calculate q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110497?\nAnswer: 47, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 9*f = 8160. What are the prime factors of f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + (1 - 1) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*(-6 + 12). Let n = -1287 - -3824\/3. Let z = -12 - n. Put x, z, 0 in decreasing order.\nAnswer: z, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.071? (a) 9 (b) -25 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 716 or 717?\nAnswer: 716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 489444?\nAnswer: 978888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 5*b + 539. Let u = b - -345. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -149*c**3 - 14*c**2 - 17*c + 20. Let v be s(-15). What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541298 is divided by 640.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-9) - 3\/9. Let o = -20 - u. Let y(a) = -2*a - 9. List the prime factors of y(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.207264?\nAnswer: -0.507264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2)*374\/44. Solve 4 = -2*x, -2*x = -5*s - 3*x - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.03381 or 8\/7?\nAnswer: -1.03381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -724, -1162, -1786, -2596, -3592?\nAnswer: -4774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41 - -0.278. Let r = c + 0.232. Is r not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(11)*6 - -2*sqrt(44) - ((-3 + sqrt(11) + 2 - sqrt(11)) + sqrt(11) + 2 + -5).\nAnswer: -15*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 4251801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -73904+-1.4\nAnswer: -73905.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1551457943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-seven halves of a centimeter?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 2:07 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 101376.\nAnswer: 101376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 13 = l - 3, m - 4 = 0. Let x = 7 - l. Solve 10*o = x*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*l + 5*g + 25 = -111*l, 5*g = 4*l - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + (-164)\/282. Suppose -y + 868 - 869 = 0. Is m at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105395 (base 14) in base 10?\nAnswer: 552263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 136431823?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 + 1 + c)*(-123*c**3 + 56*c**3 + 51*c**3).\nAnswer: -16*c**4 + 128*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - -1.6. Which is the smallest value? (a) t (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Suppose -5*k + 10 = 5*r, -3*r = -3*k - 4*r. Is (0 - 1) + (-158*l)\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4373819*t + 107 = -5*r - 4373815*t, r = 6*t - 11 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 5*g + 16. Let z(f) = -2*f**2 - 3*f + 8. Let q(r) = 6*d(r) - 11*z(r). Let a(p) = 9*p**2 - 4*p - 9. Give 6*a(i) + 7*q(i).\nAnswer: -2*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1637, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from wdutwwddttt?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13993310.\nAnswer: 2, 5, 19, 47, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 138 - 115 = -k, 0 = -5*k + 95*v + 655 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.245 - 16.245. What is the nearest to 0 in 3\/7, -2, -9, u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (0 - 1))\/(-25*60\/1500). Let a(k) be the third derivative of -k**4\/24 + 307*k**3\/2 - k**2. Is a(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 83?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3644 is divided by 519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 685.\nAnswer: -38\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -1\/4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -0.019751399.\nAnswer: 2.980248601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 37609.6.\nAnswer: -3760.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**2*g**2 + b**2*g - b**2 + b*g**2 - 238*b - 14*g + 1 wrt g?\nAnswer: 8*b**2*g + b**2 + 2*b*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 28*d**2. Let w(u) = -19 - 9954*u + 9954*u + u**2. Determine w(m(b)).\nAnswer: 784*b**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 141353460*-4\nAnswer: -565413840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 7*i + 48*i**4 + 18 - 18 - 9*i as o + g*i + f*i**4 + y*i**2 + j*i**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 z when three letters picked without replacement from {b: 2, x: 1, o: 2, r: 1, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 89*p - 70 = 0. Let s(i) be the first derivative of 16\/3*i**3 + 4*i**2 + 0*i + p. What is the second derivative of s(z) wrt z?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u\/u**(4\/7))\/(u**(-4)\/(u*u**(-7)))*(u*u**0)**5\/(u*u*u\/(((u**0\/u)\/u)\/u*u)*u)**(-45) assuming u is positive.\nAnswer: u**(1907\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1 - (-15)\/12). Which is the second smallest value? (a) 0 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 39\/6*-2. Suppose 0 = z*q - 8*q - 6. Find the second derivative of 3*t**2 + 2*t + q*t**2 + 0 + 0 wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43\/12, -181, 1.34 in decreasing order.\nAnswer: 1.34, -43\/12, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 2a731?\nAnswer: 2a729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 - 39 = 5*d. Let o = -23 + d. Solve -20 = 3*i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.93568 rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-110)*2739\/830.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddl when four letters picked without replacement from llwwllllddlwllwdddl.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12179629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1287, 1267, 1267, 1299, 1375, 1507, 1707, 1987?\nAnswer: 2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -603225.7 rounded to the nearest one thousand?\nAnswer: -603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 0*x**3 - 7*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 817405 to the power of 1\/2, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 27*p = -1530. Suppose 6*v - 3*v = 27. What is the remainder when p is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-795)\/35 + 2\/(-7). Let o = -20 - d. Suppose -o*q - 4*a = -211, -4*q + 4*a + 273 = a. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - 2000?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*o**2 - 139*k**3*o + 7*k**3 - 55*k**2*o**3 wrt o.\nAnswer: -4*k**3 - 330*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269\/13 - -2283\/143. Find the common denominator of 2\/27 and c.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121765469.\nAnswer: 7, 1933, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, -30, 1.\nAnswer: -30, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 9*h**2 + 15. Let g be v(9). Is 5 a factor of ((-235)\/g)\/(6\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 51. Let o = -15 - -18.35. Let r = j + o. Round r to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -27*r - 65. Let i be h(-5). Solve -34*p - i = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, -1, 3 in ascending order.\nAnswer: -4, -1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*y = 583533, -18 = 2*y + y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Suppose -4*a + 5*y + 12 = -a, -y = s*a - 12. Suppose 20 + 7 = 9*d. Is d smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 245 + 67. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -244711 - 2*h + 244711. Let l(q) = 36*q + 59. Calculate l(u(a)).\nAnswer: -72*a + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 124*r**3\/3 + 3*r**2\/2 + 1587*r + 917. What is the derivative of y(d) wrt d?\nAnswer: 248*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5 - 14*a**4 + 0*a**2 - 5 + 3*a**2 wrt a?\nAnswer: -336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 301, 599, 897, 1195, 1493?\n\"Answer: 298*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 7*u + 7. Let v be k(6). Solve r + 2 + v = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:57 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0515 + 26.0515. What is the second biggest value in -4, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 0*y**2 + 94 + 10*y + 2 - 2*y**2. Let x be b(16). Solve -5*v = -x*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1062*a. Let g be f(-2). Let w = -3786 - g. Find the common denominator of w\/(-660) - 2\/(-11) and 61\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577955.\nAnswer: 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) -4 (c) 3 (d) -45 (e) -2\/11 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 16. Let x = -45114.9993 + 45106. Let p = x - c. Round p to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45785 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 5*j - 4. Let a be z(4). Solve 28 = -2*k - k - 5*r, a = -k + r + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d**5 + 35673*d**4 - 2291805*d**3 - 5283705*d**2 - 3549243*d - 593028 = 0 for d.\nAnswer: -1, -1\/4, 68, 2907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -560 in 3, -3\/4, 0, 4\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 3 = -20*h - x, -2*h + 39 = 5*x. Solve -h*v - 8*g + 3*g - 19 = 0, -2*g - 10 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b42529 - -1?\nAnswer: b4252a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -8*h**5\/75 - h**4\/6 - 2*h**3\/45 - 10. Factor i(r).\nAnswer: -2*r**2*(r + 1)*(4*r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 11*w + 9. Let j be -6*(-12)\/(-8) - 1. Let g be a(j). Which is greater: g or -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-823 - 815 + 65080*d**3 - 824 + 2462)*(2*d**2 - d**2 + 0*d**2).\nAnswer: 65080*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81a098 (base 12) in base 8?\nAnswer: 7572364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 27. Let g be 476\/r - 1\/(-5). Suppose 17 = 4*w + 5*j - 10, 4*j = -4*w + g. Solve -v + 2 = -w*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*w - 2*w + 76, 0 = -4*s - 5*w + 93. Let j = -5 + -3. Let l = s + j. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - -2.09. Let p = -10.6 - -7. Let m = p - -4. What is the second smallest value in m, x, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*d + 3 = 817 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*i = c - 288*i - 10, 3*c - 46 = i. Solve 5*m + 5*r = -c, -4*r - 11 = m + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 9729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:52 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*h - 404 = 0, -71*n = -39*n - 38*n + 3*h + 234 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 14*l**2 - 25*l - 8. Let d be r(-12). Solve -2*w = d*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 10*l + 11. Let c(h) = -6*h**2 + 0 - 8*h**2 + 5 + 13*h**2 - 6*h. Let g(k) = -5*c(k) + 2*x(k). Give g(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, -2\/9, -4, -0.1, -113\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 10*i**2 - 10*i + 12. Let h = 7 + -11. Let j be (-8 + h)\/((-6)\/4). Let x be d(j). What is x rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*m + 12. Let z(d) = -d**3 + 6*d**2 + d + 4. Let s(t) = -t + 8. Let q be s(4). Let g be z(q). What is the greatest common divisor of g and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 14 = -l. Suppose 9 = 2*a + l. Solve 18 = -i - 4*q, -2*i + 24 = -a*q - 2*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Let v(z) = z**2 + 3*z - 12. Let m(t) = 5*c(t) + v(t). Let k be m(-9). Is (0 + k)*10\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1573 + -1553. What is the remainder when 380 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 - r - 3. Let p be j(3). Let c = 6 - p. Solve l - 4 = -c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*k, 4*k + 9*b - 4*b = 0. Suppose -3*d - 4*h + 2 = 0, k*d - d + 7 = -5*h. Solve 0*s - d*s = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**10)**31\/(w\/(w*w*w**17*w)*w**5*w*w))**(-3) assuming w is positive.\nAnswer: w**(-966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 9 = 6*j. Calculate the lowest common multiple of 2 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let k be 4 - (-1 + x) - -1. Suppose 4*b - 2*m + 4*m = 24, b - 6 = k*m. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 20, -5, -60, -157?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/5484816 and 35\/1476.\nAnswer: 5484816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2159*p = 2148*p + 407 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = 0. Let n = 6802216\/27 + -251934. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.934248t?\nAnswer: 934248000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2140 and 49645.\nAnswer: 21248060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 22. Let j(l) = -l + 24. Let q be j(0). Suppose o*z + 2*s + s = q, z - 5*s = -4. Solve z*y - y = -15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -14*a - 6*n + 52, 0 = -a + 2*n - 16. Determine l so that -2*l**3 - 2\/3*l**a + 0*l + 0*l**2 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (9 + -11)\/12 - (-5)\/((-150)\/(-785)) and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130478.4 millilitres in litres?\nAnswer: 130.4784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 18 + -7 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14276 is divided by 238.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1627002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 76 = -16. Find the common denominator of 37 and 4323\/102 + z\/170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -377 - -207303?\nAnswer: 206704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) -2 (c) -2\/7 (d) 23 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*c - 756 + 5588 = 0. Solve -2*k - 42 = -2*i - c, i = -3*k + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 4*p + 4956. Suppose p - 20 = 8*u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 188\/(-20) + 6\/15. Let i(b) = 8*b**2 - 17*b - 17. Let c(k) = 4 + 0*k**2 - 2*k - 6*k**2 + 4*k**2 + 6*k. Calculate w*c(f) - 2*i(f).\nAnswer: 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-12)*(-12)\/18. Let y = -0.133 + 0.633. What is the closest to -0.4 in y, 2\/21, s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-16) - (3\/5 - (-404)\/(-40)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c. Let k(g) be the first derivative of g**2\/2 - 6*g - 2. Let f be k(8). Let t(n) = -38*n**2 + 19*n**2 + 18*n**f. Give r(t(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 577408 and 1229768.\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 210?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204*c*d**3 + c*d**2 - 1666477*c*d + 11*c - 12010*d**2 wrt d.\nAnswer: -1224*c*d + 2*c - 24020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0.2 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - 10) + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130619 + 130618.4. Let s be (2\/4*-2)\/9. What is the fourth smallest value in -1, 2, s, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739142441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 451477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (494\/38)\/(715\/(-330))*24\/(-1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*p - 109 + 109.\nAnswer: 359*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058787 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (-1)\/(-4)*6 + 21\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8339 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43816962 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42144 + -23?\nAnswer: -42222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/12)\/((-6)\/(-16)). Let i be (1 - -14)*(-6)\/10*(-116)\/348. Let l(j) = j**2 + j. Let d(p) = -4*p**2 - 2*p. Calculate i*d(c) + s*l(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1459*q - 2456*q - 2756*q**2 - 4*q**4 + 204*q**3 + 10473*q - 256*q**2 + 12696.\nAnswer: -4*(q - 23)**2*(q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1003 - 336 - 332 + 28*w - 335 - 31*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915401, 915385, 915363, 915335, 915301, 915261?\nAnswer: 915215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368574389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 37*d**2 + 38*d + 13. Calculate q(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - k + (2*k - 5*k + 4*k)*(-2 + 1 - 1) + 0*k + 0*k - 3*k)*(-1362 - 2041 + 924).\nAnswer: 14874*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*b**2 - 159*b**2 + 288*b - 144*b**2 - 288*b.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 3*o, 2*h + 2*h - 4*o + 259 - 499 = -196 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -9. Let u(p) = 2*p - p - 1 - p**3 + 2*p**2 + s*p. Let y(o) = -2*o - 3. Let n be y(-3). Calculate u(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -483 + 483. Solve -4*o - 12 + 16 = g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123692303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -19. What is the third derivative of 14*c**2 + 10*c**4 - j - 38*c**4 + 2*c**2 + 0*c**2 + 3*c**3 - 2*c**2 wrt c?\nAnswer: -672*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3989 = 5*b - 5486. Suppose -9*k = -4*k - b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000415115 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -13 (c) 5 (d) 37 (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**3 + 9*x**2 + 178*x - 18. Let f(g) = 2*g**3 + 2*g**2 + 45*g - 4. Determine -9*f(w) + 2*v(w).\nAnswer: -6*w**3 - 49*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.3 (b) -5 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 8*y + 87. Let w(o) = 7*o - 10. Let f be w(9). Let n = f + y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2143549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -102.9999627. What is m rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*i**3 - 320*i**3 - 281*i**3 - 255*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 30871973.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 p when three letters picked without replacement from {x: 1, p: 2, h: 2, q: 1, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3074911*g**3 - 4744*g**2 - 2*g - 500.\nAnswer: 18449466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19030 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((12\/(-50))\/((-55)\/275))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 13*h**2 + 21*h + 16. Let n be p(11). Suppose n*y = 6*y - 2. Solve 0 = -5*c + 5*b - 20, 1 + 3 = -4*c - y*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14664425.17895 - -48?\nAnswer: -14664377.17895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 12 = 7*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 25*n = 23*n - 638, 4*h + 3*n = -1275. Which is bigger: -1269\/4 or h?\nAnswer: -1269\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 568, 1140, 1734, 2362, 3036, 3768, 4570, 5454?\nAnswer: 6432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 + 28. Suppose -q = 3*q - j. Let h = 75 - q. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/284)\/(18\/(-1112)). Let a be (6\/6)\/(-1) - (-292)\/284. Let g = a - h. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 w when three letters picked without replacement from {z: 7, w: 4, e: 6}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -8, -17980, 4 in descending order.\nAnswer: 4, 0, -0.3, -8, -17980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/25 - (-3)\/((-135)\/28). What is the closest to -2\/3 in -4, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*(-28)\/49?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 305, 2?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 4*n**2 + 3*n + 2. Suppose 5*x - 3*x + 14 = 4*o, 3*o + 2*x = 0. Suppose -o*p = -p - 4. Determine b(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -5 - (-1 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 457805 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2. Let j(f) = 1622*f. Give j(n(i)).\nAnswer: -4866*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**4 + 475*n**3 + n**2 + 129*n wrt n.\nAnswer: 36*n**2 + 2850*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - 0.2. Let i = 0.6 - 0.1. Let y = s - i. Which is the nearest to y? (a) -4 (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13046471941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27356 divided by 3?\nAnswer: -27356\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - 97 - (1 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -121. Let v = p - -73. What is the highest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1 - 7) + 0 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5781 and 738?\nAnswer: 34686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -995 by 1794179.\nAnswer: -995\/1794179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 606 + -603.57. Let l = -0.03 + a. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 - 35*f**3 - 80*f**2 - 60*f = 0. What is f?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59489.\nAnswer: 19, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*6)\/((-3)\/2). Let f = -7 - h. Let u = -61.8 + 62. What is the biggest value in u, 0, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 241352 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17681 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*t - 355, 4*t = 2*y + 3*y + 317. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 67332\nAnswer: -538656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336*s**2*t + 23*s**2*w**2 + 120*s*w - 13*t*w**2 + t*w + 1413*w**2 wrt w.\nAnswer: 46*s**2 - 26*t + 2826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4319*q**6*t**3 - 1083*q**6 - 56*q**2*t**3 - q**2 - 479*q*t - 2*t**3 - 2 wrt q.\nAnswer: 518280*q**3*t**3 - 129960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 5*r + 1. Let u be i(5). Let s(l) = 13*l**3 - l**2. What is the remainder when 83 is divided by s(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 = 2*h + 4*h. What is the lowest common multiple of h and 18?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1148*j**3 - 5*j**2 + 11*j - 21. Let z(o) = 234*o**3 + o**2 - 2*o + 4. Determine -2*s(q) - 11*z(q).\nAnswer: -278*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g. Let i(u) = -35*u**3 - 5*u**2 + 5*u. Determine i(p) + 5*w(p).\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 2*u**3 - 5*u + 33*u**3.\nAnswer: 35*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffd when four letters picked without replacement from ffdfdffffdff?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27666 divided by -27666.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a**5 + 76600*a**4 - 18469565*a**3 + 1326007225*a**2 - 659545355*a + 82299175 = 0 for a.\nAnswer: 1\/4, 161, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 - (-9 + 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from wstqsqsjjsjsssjjtj?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*(12\/20)\/3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6105318*0.1.\nAnswer: 610531.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51284 - 0.01642.\nAnswer: -51284.01642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 6*s**2 - 6*s + 10. Let j(p) = 2*p - 5. Let r be j(6). What is the units digit of t(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14005 = -5*s - 3875. Suppose 7*u - s = 25. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -167. Let i = 98 - g. Let m = 59 - i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -47224192292?\nAnswer: -47224192299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1433 or 17?\nAnswer: 1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -2272, 7 in decreasing order.\nAnswer: 7, -1, -7, -2272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*y + 5*w + 32, 5*y = -5*w + 50. Put 5, y, -1 in decreasing order.\nAnswer: y, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q - q - 3*q)*(-3 - 1 + 5) + (-873 + 1062 + 2308)*(0 + 0 - q) to the form n*q + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 293*n - 1187. Give a(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 (base 12) in base 15?\nAnswer: 25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5910*t + 10601*t = -10359*t + 1105774 + 429326 for t.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjt. Give prob of sequence jj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173125 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 897 - 511 = 0. Calculate the smallest common multiple of u and 1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 p when four letters picked without replacement from {o: 3, p: 6, e: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r**5\/7 - 38*r**4\/7 + 1362*r**3\/7 + 4742*r**2\/7 + 204*r = 0. What is r?\nAnswer: -17, -3, -1\/3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -29*l**2 - 95*l**2 - 43*l - 750*l**3 + 742*l**3 - 69*l + 4*l**4 = 0.\nAnswer: -4, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -984 - -1080.3. Let y = -96.299999391 + t. Round y to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 34*l**2\/3 - 1040*l\/9 + 800\/3.\nAnswer: 2*(l - 5)*(l - 4)*(l + 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 4)*(20 - 2*x - 19 + 4*x - 2*x**2) to the form b*x + u + r*x**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 15*z + 21. Let j be (-4)\/22 - ((-1068)\/(-33))\/(-2). Let q be c(j). Solve 5*l - 4*l = -q*y - 2, 0 = -4*l + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/50 and -34\/565.\nAnswer: 5650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 34. Suppose 0 = -k + l*b - b + 64, 2*b - 320 = -5*k. Is k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2922*a - 3178*a + 12032 = 0 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 199.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -717, -2322, -5433, -10548, -18165, -28782, -42897?\nAnswer: -61008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.8 + -4.8. Let o = 55 - d. Let q = -24.17 + o. What is q rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 50 = z. Let k = 41 - z. Let n be 8\/k + (-36)\/(-162). Which is the fourth smallest value? (a) n (b) -1\/3 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(16\/24*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 188*q**2 + 1 - 1.\nAnswer: 182*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 1. Let n be -4*35\/(-168) + 5\/((-90)\/11). What is the closest to -0.1 in 2\/59, n, r?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0 + 64*s + 0 + 80*s - 130*s. Let m(p) = -p**2 + 4*p**2 - p**2. Calculate u(m(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2019 and 2.0076?\nAnswer: -4053.3444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3140.13 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 0.0561 (b) -0.3 (c) 221 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -263, -513, -835, -1223?\n\"Answer: w**3 - 45*w**2 - 44*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 71*h - 326. What is the remainder when n(7) is divided by 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 422448.382 and -0.3.\nAnswer: 422448.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.035.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + 138 + (-3 + 4 - -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 23\/9 (c) -0.5 (d) 1 (e) 1\/6 (f) -13 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -917535, -1835068, -2752605, -3670146?\nAnswer: -4587691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(343) - (-3 + sqrt(343) + 1) - sqrt(343))**2 + 5*((sqrt(343) + 0)**2 + -5 + (-1 + 0 + sqrt(343))**2).\nAnswer: -98*sqrt(7) + 3759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10010110111100111 (base 2) to base 10\nAnswer: -77287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 2)*(-8)\/(-80) - 29\/(-290). Are -0.04229 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 27*r - 73. Determine q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - r + 17, 0 = 5*p - 13*r + 9*r + 5. Suppose 0 = p*k - 2*t - 37, -2*t + 0*t + 51 = 5*k. Solve -k = -5*q - 3*h, -3*q - 4*h - 3 = h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1730*d**3*s**3 + 3*d*s - 9*s**3 wrt d?\nAnswer: -10380*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.5. Let s = 20 + -21.1. Let i = 3.9 - s. What is the nearest to -1 in 0.1, i, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-24)*8\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66875, 66873, 66871, 66869, 66867?\n\"Answer: -2*g + 66877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h + 66. Let r be f(-10). Let t = 34 + r. What is the closest to t in -5, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16396?\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59644 is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*l + 49*l + 41*l + 33*l as d + p*l and give p.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let o = g + 13. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9*(-15)\/10*8. Let q(b) be the first derivative of -3\/2*b**2 - k - 2*b. What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14064 + 6320 = 242*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -310\/63 - -36\/7. Let j = -0.044 - -0.144. Let q = -0.4 - 0.1. What is the nearest to j in q, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17\/((-51)\/6) - -1047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and 0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-18)*(-10)\/(20\/4)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**4 + o**3 + o**2 + o - 2. Let f(l) = -40*l**4 + 2*l**3 + 6*l**2 - 148*l - 12. Let t(k) = 6*c(k) - f(k). Find the second derivative of t(m) wrt m.\nAnswer: 552*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 12, 41, 92, 171, 284?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -267, -520, -767, -1002, -1219?\n\"Answer: v**3 - 3*v**2 - 251*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 119694082 to the power of 1\/2, to the nearest integer?\nAnswer: 10940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + r - 10*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-462)*6*(-7)\/(-10)*9?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 462.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 548 and 8.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*c - 72 = 0, 387*c + 47 = 2*t + 386*c. Solve -x = -4*i + 9 + 4, 5*i - 2*x - t = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 4.5 (c) -1\/5 (d) 136 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -115797308?\nAnswer: 578986540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:16 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -38. What is the common denominator of -109\/20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**9\/12096 - 46*n**3\/3 + 63. Let p(s) be the third derivative of x(s). Factor p(v).\nAnswer: -v**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31350 plus 6.474?\nAnswer: -31343.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/16*(-1 + -5) and 53\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54752868 to the power of 1\/2, to the nearest integer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*c + 0*c**2 + c**2 + 34*c + (-3*c + c + c)*(-c - 2*c - 2*c) to the form i*c**2 + k*c + h and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 37. Suppose 2*n = j*u + 21, -6 = -n + 4*u + 7. Let s = -11 - -13. Solve -i - n = s*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdd when three letters picked without replacement from {d: 11, x: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22818539 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q - 39. Let p be y(-6). Suppose -p*t + 22 + 32 = 0. What is the highest common divisor of 45 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + 5*3*((sqrt(1008)*-4*-2)**2 + sqrt(1008))*6.\nAnswer: 1080*sqrt(7) + 5806085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-936)\/39*(-8)\/6. Solve -15 = -5*u, 4*r + 2*u + 2*u = k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/76, -0.0449, 1\/5, -5, -0.2 in increasing order.\nAnswer: -5, -0.2, -0.0449, 1\/76, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7966*f - 7803*f = -3586 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 768012 divided by -27429?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4 and -2*(-18)\/12 - 2890\/928?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 8 + (10 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/10611 + 180395\/42444. Is i > -12\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:56 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrrrxr. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7756\/(-1662) + (2 - (-39)\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 869.01 - 864. Let r = -2 - -1.99. Let b = u + r. Put -4, b, -2\/7 in decreasing order.\nAnswer: b, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-286)\/(-6) - (-4)\/(-6). Solve -3*t - 35 = -4*v - 6*t, -4*v - 5*t = -j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-297)\/2)\/9 - (-12)\/((-288)\/(-12)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, -5, -48, -119, -224, -369?\n\"Answer: -x**3 - 5*x**2 + x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1011476, 2022955, 3034434, 4045913, 5057392, 6068871?\nAnswer: 7080350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(-3 + 5 + 0)*(l + 3*l + 3*l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1200\/1400)\/(207\/7)*36\/8?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = 2*z + 20, -4*z - 4*a - 4 = 0. Let w be (6\/12)\/((-1)\/z). Let b(p) = 2 - 5*p - 2 + 2. Determine b(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 33 = -5*h + 18, -2*h - 6 = a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -81a97b (base 12) to base 7\nAnswer: -23153360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 15, n = 2*n + 5*t + 69. Let z = -58 - n. Suppose -273 = -11*b + 4*b. What is the greatest common factor of z and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111566 and 47814.\nAnswer: 334698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 9. Suppose d*c - 200 = 3*c. What is the greatest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 17*r**6\/6 - 49*r**5\/5 + 45*r**4\/4 - 11*r**3\/3 - r**2 - 528. Factor f(j).\nAnswer: j*(j - 1)**3*(17*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240774650?\nAnswer: 2, 5, 19, 253447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -1\/4, -0.05, -84.6, 0.404, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 121*b + 3760. What is d(-83)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.22 - -6.22. Sort m, -11, 3 in increasing order.\nAnswer: -11, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*o**2*y**2 + 5*o**2*y + 2*o*y + 24*y**2 - 1 wrt o?\nAnswer: -54*o*y**2 + 10*o*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 3*y**2 + 2*y**2 + (-8*y - 41 + 41)*(8*y - 2*y - 2*y).\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6382853.\nAnswer: 433, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/5 - 180353*k\/5 + 180352\/5 = 0 for k.\nAnswer: 1, 180352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34841019 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 8\/(-40)*-10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 + -386. Suppose -2*r = 3*r - v. Calculate the remainder when 82 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**2 - i - 2 + i. Let h(g) be the second derivative of -4*g**3\/3 - 410*g. Give h(j(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 229855, 229844, 229837, 229834, 229835, 229840, 229849?\n\"Answer: 2*x**2 - 17*x + 229870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 2, f: 1, n: 4, i: 3}. What is prob of sequence jnu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*m**2*p*v**2 - 58*m**2*p - m**2*v**2 - m**2*v - m*p + 1416*m*v**2 wrt p?\nAnswer: 13*m**2*v**2 - 58*m**2 - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwk when three letters picked without replacement from {u: 2, k: 3, y: 2, r: 2, w: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 24. Calculate the remainder when 42 is divided by m(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 329.962+82562\nAnswer: 82891.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 616*o**5 - 171*o.\nAnswer: 12320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 34*u + 72. Let k be l(-31). Let h(f) = -k*f - 170*f + 329*f. Let t(c) = -22*c. What is t(h(x))?\nAnswer: 132*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 769.79053?\nAnswer: -76.979053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -d + 2*y, -6*d - 8 = -d + 4*y. Let s = -1 - d. Suppose c + 5*j - 27 = 0, -2*c + 2*j = 9 - s. Solve c = -p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1458*t - 1777*t + 5363*t + 7926*t.\nAnswer: 10054*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.8 > -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-648)\/(-72) - -1*(1 - 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 + m + 8. Let i be o(-6). Let u be i\/(-4)*3 + 1. Let l = 95\/63 + -9\/7. Which is the closest to u? (a) l (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 506*g*i**3 + 85*g*i**2 - 5*i**2 wrt i?\nAnswer: 3036*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/566782 and 65\/82.\nAnswer: 23238062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -42*m + 30. Let f(i) = i**2 - 4*i - 87. Let v be f(-9). Let c(q) = q - 1. Give v*c(n) + l(n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21338623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2395348, -4790162, -7184976, -9579790, -11974604, -14369418?\n\"Answer: -2394814*d - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 9*n**2 + 13*n - 12. Calculate c(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1759, 7027, 15807, 28099?\n\"Answer: 1756*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 109*g + 1558. What is d(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*z**2 - 2*z - 62?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 4, -0.1, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -747*(-33)\/396 + -32 - 25\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.5 + -9. Let r = x - -1. Sort r, 1\/2, 0 in decreasing order.\nAnswer: 1\/2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 191112 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76749122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-203)\/(-2))\/(-7). Let i = 37 + t. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885 + 885 + 30*h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22222, -22220, -22218, -22216, -22214?\nAnswer: -22212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 88*d - 88. Let m(c) = c + 5. Let v(u) = -8. Let i(g) = -8*m(g) - 6*v(g). Let b(j) = 32*i(j) + 3*k(j). What is the first derivative of b(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-156)*(-4)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 12 - -6) + (-11 - -3 - -5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -43. What is the second derivative of 2*c - 49*c - 44*c**2 - 48*c**n + 45*c**2 wrt c?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let b(p) = 6*p - 5. Let j(r) = -2*b(r) + 10*s(r). Let n(f) be the second derivative of -2*f**3 + 39*f + 4. Calculate n(j(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911358932?\nAnswer: 2, 11, 89, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -2 - (20 - (-9 - (-27 - -3))) - -63.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1092005*t**5 + 54*t**4 + 33*t**2 - 50*t + 6119?\nAnswer: 65520300*t**2 + 1296*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -304.8142 to zero decimal places.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 60 (b) -5 (c) -1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*r**3*t**5 + 8*f*r**3*t - 2*f*r**3 + 12*f*r**2*t**3 - f*r wrt t?\nAnswer: 60*f*r**3*t**3 + 72*f*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12468 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:21 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 26*c - 24 = 0. Let r(i) = 6 + c + 6 - 15 - 15*i. Let h(j) = 2*j. What is r(h(d))?\nAnswer: -30*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 6*v + 8. Let t be h(-6). Let f be 11\/(-2)*-31*t. Suppose f = 4*r - 5*y + y, -317 = -r - 5*y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 48 + 12. What is the remainder when q is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-34456)\/(-20) - ((-54)\/(-30) + -2)?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - a**3 + 2*a**3)*(-30 - 6*a + 30) + a**2 - a**2 - a**4.\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-406)\/(-21) + 40\/(-30). Calculate the greatest common factor of c and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7213 - -7239. Suppose 5*s + 5*b + 15 = 0, 5 + 10 = -3*b. Calculate the highest common divisor of n and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((n*(n**(-6)\/n)\/n)\/n)\/n)\/n*n\/(n*n**(4\/7)))**(-10\/9))**(-36))**(-23) assuming n is positive.\nAnswer: n**(68080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqmmwqmmqmmqmw. Give prob of picking 3 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epqx when four letters picked without replacement from {e: 1, x: 1, q: 1, p: 2, b: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + f + 2*f + 2*f**2 - f - 37. Is r(-10) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 520\/17, -13, 27.\nAnswer: -13, 27, 520\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (1 - 5) + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 0, 356?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(21)\/sqrt(3) + (sqrt(7) - sqrt(56)\/sqrt(72)) + (sqrt(14)\/sqrt(2))**2*6 + sqrt(28)\/(1*sqrt(4)).\nAnswer: 20*sqrt(7)\/3 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 10) in base 9?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 17. Let s(c) = c + 4. Let h(i) = 18*s(i) + 4*v(i). Let r(w) = 6*w + 11. Let p(m) = 11*h(m) - 4*r(m). Let o(u) = u. Determine o(p(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 13) to base 10.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10599147 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314176 = -17*j + 21*j. Is ((-117)\/(-156))\/((-6)\/j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226575331*o**3 - 20404566*o**2 + 2?\nAnswer: -1359451986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q + 90. Let h be x(-8). Suppose -5*b + 14 = -2*z - 9*b, -h*z = -b + 4. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236*f + 502*f - 2 + 563*f + 22*f.\nAnswer: 2323*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvcvvvvvvvv. What is prob of sequence ccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -245526\/5 and -49106 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 403379*o. Let t(n) = -n**2. What is t(v(x))?\nAnswer: -162714617641*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**4\/24 - l**3\/3 - 23*l**2. Give f(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 210000 = 0. Round k to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**8\/1680 + 13*b**7\/1050 + 41*b**6\/600 + 47*b**5\/300 + 3*b**4\/20 - 283*b**2. Solve l(j) = 0 for j.\nAnswer: -9, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2099 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaqqqyyqqyyqq. Give prob of sequence xqa.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = z + 1, 0 = -3*d + 2*z + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -512873, -512869, -512867, -512867, -512869?\nAnswer: -512873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323846 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from ggatlggwt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1892*p**3 - 6*p**2 + 3. Let l(z) = -8366425*z**3 - 26530*z**2 + 13265. What is 26530*d(m) - 6*l(m)?\nAnswer: 3790*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 47*x**2 + 143*x - 227. What is r(-5)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -198*z - 4761. Calculate w(-24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11774 and 1862?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 18. Let f be (2 - j)*1\/(-6). What is the nearest to f in -2\/9, 5, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**8\/336 + u**4\/12 - u**3\/6 + u. Let g(r) be the second derivative of j(r). What is the derivative of g(d) wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59, 67, 71, 71, 67?\n\"Answer: -2*l**2 + 14*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = d + 5*s, -8 = d - 3*s. Let g(k) = -k. Let f be g(-1). Let y(m) = d - 4*m + 3*m - f. Let h(z) = -5*z**2. Determine y(h(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 28*r**3 + 5*r**3 - 6*r**2.\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0082053 - -21176.\nAnswer: 21176.0082053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 72*w**2 - 100075. Let t(d) = -24*d. What is f(t(j))?\nAnswer: 41472*j**2 - 100075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 120*k + 122*k = -378, 4*k = -8*n + 3*k + 363 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(-3 + (sqrt(76) + -5*(sqrt(76)*-2 + sqrt(76))**2 - (-2*1*sqrt(76) + sqrt(76)))).\nAnswer: -1920 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2. Let f be b(0). Suppose f = -0*s - 5*s. Suppose s = -13*v + 6*v + 77. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 428\/(0 + 4)*1. Differentiate 9*z**4 + 30 - 107*z**2 + b*z**2 with respect to z.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 258 = -4*x, 0 = 266*x - 271*x - 4*n + 336. Let i be (-150)\/(-1)*(-4)\/(-6). What is the greatest common divisor of x and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012101100121 - 20?\nAnswer: -10012101100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12124256 (base 7) in base 9?\nAnswer: 2028148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(-4)\/140*-7. What is the nearest to 0 in -0.3, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k + 44. Let b(x) = 2*x**2 + 139*x - 1336. Let m be b(9). What is the greatest common divisor of m and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 10*b - 12. Let i be o(10). Let t be (0 - -7)*i\/(-14). Solve 3 - t = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 - 5*q**2 + 4*q. Let w(n) = -5*n**3 - 4*n**2 + 3*n + 1. Give 3*s(z) - 4*w(z).\nAnswer: 2*z**3 + z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18342 = 9*m - 6*m + 3*w, 0 = -m + 2*w + 6129. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14795, -29335, -43875, -58415, -72955, -87495?\n\"Answer: -14540*m - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -3) + 13 + (1 - 0 - 18).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 20)*(1 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2148456*i**2 - 2148435*i**2 + 4296892*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323597615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12244 + 1873198\/153. Let w = f - 4\/17. Which is bigger: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -1 (b) -5216 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(396)\/sqrt(12))\/sqrt(3))**2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - f - 2*f - 5 + f.\nAnswer: -5*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*0*(3 - (-55)\/(-22))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(40*m - 64*m + 43*m) + (5 - 3 - 3)*(2 - 2 - 2)*(0 + 0 - 2*m) to the form q + r*m and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*o + o + 10*o to t + n*o and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*l - 12 = -20, 2*c + l - 23 = 0. Let b = -49 - -63. Solve 12 = -c*a + b*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11097?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11 = -4*f - 2, -28 = -5*r - 3*f. Suppose -5*l + 3 = -12. Suppose l*j + 5 = -5*z, -4*j + 2*z = -0 - 2. Solve j = -4*o + 3*o + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 2, v: 2, k: 4}. Give prob of sequence kkq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h**(1\/4))\/h)\/h)**(-2\/107))**5*((h**(5\/4)*h)\/(h**4\/h))**(-1\/6) assuming h is positive.\nAnswer: h**(87\/856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o - 26*o - 2 + 2.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -53*c - 6. Let d be q(-2). Suppose -4*m = 24 - d. Suppose 0 = 3*h - 0*h - 2*v - 1, h = -4*v + m. Solve -16 = a + h*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -343, -640, -937, -1234, -1531, -1828?\n\"Answer: -297*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/37, 11, -1\/3, -1\/2 in decreasing order.\nAnswer: 11, -2\/37, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-6))\/c*c**4)\/(c**(-7)\/c**(-3\/8))*(c*c**(-2))\/c**(-1\/17)*(c*c*c\/(c\/(c**0*c))*c*c)\/c**(-1) assuming c is positive.\nAnswer: c**(1317\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 66*r - 339. What is w(61)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -38 - 6. What is the highest common divisor of i and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1344782 and 155\/424668?\nAnswer: 8068692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 5*v + 1. Let c(s) = 2*s**2 + 2417*s - 4. Give -c(o) - 3*j(o).\nAnswer: o**2 - 2432*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -412 divided by -1\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 - -3. Let z = 157 - 159. Which is the closest to -3? (a) z (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(22)\/sqrt(2)*-1)*4 - (sqrt(65) + (sqrt(65) - (-1*sqrt(65) - sqrt(65))*3 - sqrt(65)))\/(-2*sqrt(500)))*-6.\nAnswer: 219*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = 22. Suppose -v - 5*n + 15 = 0, -2*v - n - 23 = -k*v. Suppose -4*p + 68 + 46 = 2*w, -4*p + 3*w = -119. Solve -p = v*i - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -499 (b) -3 (c) -0.5 (d) 10 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2\/7, 113 in ascending order.\nAnswer: 2\/7, 1, 3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -331725?\nAnswer: -331726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53.09 and 171?\nAnswer: 9078.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -28. What is the greatest common factor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:12 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j**2 - 5*j - 3. Let p be r(6). Suppose -3*o + 1 = z + p, 0 = -3*z + 5*o + 22. Calculate the greatest common factor of 6 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008950341 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204623 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 319201025 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 4, c: 7}. What is prob of sequence pp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -337196*a. Let c(w) = 4*w + 9. Give c(l(j)).\nAnswer: -1348784*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -21357978 divided by 131\nAnswer: -163038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -591*m - 2. Let b be c(-2). Suppose 3*k = 5*q - b, 5*k = -3*q + q - 1977. Let y = -204 - k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.70803 less than -1?\nAnswer: 72.70803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niegiigixn. What is prob of sequence xe?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.03 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1255548 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/6)\/((v**(1\/11)*v*v)\/v))\/(v\/v**(1\/2))**(2\/25) assuming v is positive.\nAnswer: v**(-3791\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375965, 375960, 375955, 375950?\nAnswer: 375945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 100011000100100 (base 2) to base 3\nAnswer: 220122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 124 + 83 - 95)*(15 + 19 + 5)*(3*d**4 - 3*d**4 - 2*d**4).\nAnswer: 156*d**5 - 8736*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 67*r + 633. Let p be b(-11). Are p and -0.41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 26740 = 30*r. Are r and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 12*u + 9. Calculate the lowest common multiple of 20 and j(12).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r = -101*r - 1133 + 179 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 25 = 34*b. Let m(i) = -i**3 - i**2. Let g be m(-2). What is the nearest to 1 in g, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + v**2)*(8*v - 29*v + 3 - 1).\nAnswer: -21*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4*93\/(-124))\/((-333)\/6)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a81a4 (base 12) in base 15?\nAnswer: -1907da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196526 - 196526. Let j = -4 + 3.6. Let g = j - -0.3. Which is the closest to u? (a) -2\/9 (b) g (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 409102, 818070, 1227028, 1635970, 2044890, 2453782?\n\"Answer: -z**3 + z**2 + 408972*z + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 5*p)*(p**2 - 4*p**2 + 5*p**2) + (-p - 4*p + p)*(53*p**2 - 1791 + 1791).\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*p + 309 = 396. Let x be (2 - -20)*1 + -2. Let y be (-15)\/(-42)*6\/x. Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*t + 20 = 130*t. Let i(h) = h**2 - 2*h + 1. Let y be i(1). Suppose 5*l + v - 2 = 0, -l + 0*l + 2*v + 7 = y. Sort l, 9, t in ascending order.\nAnswer: t, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -142, -117, -72, -1?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*p = -126, 39 = 3*a + 3*p + 144. Let j = a + 33. Solve 3*r - t + 9 = j, 2*r + 6 = 2*t + 2*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1\/9819?\nAnswer: 1\/9819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.4, 11474009?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.1569 rounded to one dp?\nAnswer: 65.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 - (-2552)\/(-33))*(-32)\/2. Let s = -1344 + z. Are 100 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -5. Suppose 3*i = -5*t + 35, -i + 0*t + q = 2*t. Let j(z) = z - 5. Let k be j(7). Solve -3*l + 1 = k*m, i*m = -4*l + 8 + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 43.2. Let y = p + -0.2. What is the third biggest value in -5, -1\/4, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 15*a - 18. Let y be c(-16). Let o(v) = 2*v - 1. Calculate o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418665 and 7163.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1046*m**3 + 587*m**3 - 4*m + 3506*m**3 + 6*m - 880*m**3 in the form j*m + f*m**3 + a*m**2 + b and give f.\nAnswer: 4259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -280812 bigger than -280810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(4*q - 9*q - 3*q)*(3 - 51 - 50).\nAnswer: -1568*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmooopafyapf. What is prob of sequence ym?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 46*a - 12*g - 21*g - 42 = -29*g, -11*a + 21 = g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1 (c) 207 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5167 is divided by 678?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + 2 + (sqrt(612)*3 - sqrt(612)) + sqrt(612) + -2 + (3*(-1*(sqrt(17) + sqrt(85)\/sqrt(5)) + -1*sqrt(17)*2))**2.\nAnswer: 24*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13806 + 55221\/4. What is the second biggest value in s, 1, 0.057?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 43*n - 45*n + 6 - 15.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*a + 282 = -11*c, -14*a + 5 = 4*c + 165 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**8\/252 - 2*a**7\/105 - a**6\/30 - a**5\/45 + 3*a**2 - 58. Factor p(f).\nAnswer: -4*f**2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + 11.7. Let l = n - 9.2. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-32) + (148089\/10)\/(6\/5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13. Suppose 0*d + 88 = 5*d + 4*k, g = 4*d + k - 66. Solve 0 = h - 5*h + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -403.\nAnswer: -80.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from snnsvzvnonnosuuvvn.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (1 + sqrt(1053)))**2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(-1\/3)*h))\/h*h)\/(h*h**(-2\/55)))**(-37) assuming h is positive.\nAnswer: h**(14023\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2\/11, -3, -1\/4, 489, -0.2, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1080*t - 4541 - 4536 + 9077 to j + k*t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16840875?\nAnswer: 3, 5, 44909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2f2dc3 (base 16) to base 13\nAnswer: 843440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420144200 (base 5) to base 2.\nAnswer: -110100101000111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7752257 + 7752219.00051. Let a = x + 38. What is a rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 10*w**3\/9 - 11*w**2\/3 + 4*w\/3 - 157. Suppose d(r) = 0. What is r?\nAnswer: 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 - 5)*(11*t**4 + 3*t - 30*t**4 - t) to b*t**4 + m*t + n*t**2 + z*t**3 + y and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 + g - 1. Suppose 0 = -24*r - 18*r - 42. Let d(a) = 5*a**3 - 6*a**2 - 6*a + 3. What is r*d(l) - 6*f(l)?\nAnswer: l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16) + 1\/8*-26?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o, 4*p + 24 = -2*o + 122. Solve -5*c - d = p, -2*c - 4*d = -7*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/8 - (-2)\/(-8). What is the second derivative of 0*b**5 + 81*b - 74*b - 20*b**i wrt b?\nAnswer: -400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 733.5 - 733. What is the second biggest value in g, 32, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -10. Let k be (3 + -5 + 2)\/f. Suppose 48 = 4*q - k. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1\/2, -0.1, 7513 in ascending order.\nAnswer: -0.1, 1\/2, 2, 5, 7513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9995, -19878, -29739, -39578, -49395, -59190?\n\"Answer: 11*j**2 - 9916*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86421369.\nAnswer: 3, 1831, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*t + t = 1128, -5*t = u - 214. Suppose -u = -4*g + 8. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/300 + 13*w**5\/150 + 13*w**4\/20 + 9*w**3\/5 - 602*w**2. Factor n(g).\nAnswer: 2*(g + 1)*(g + 3)*(g + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 9 - (28 + -66 + 25).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339434272 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 3. Let n be -5*(7 + 39\/(-5)). Let s be 329\/188 + 13\/n. Solve -c = h - s*y, 0*y = h - y - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 9. Let r = 0 - i. Suppose 7*m - 2*m + 5*g = 10, 0 = -r*m + 4*g + 27. What is the closest to -2 in 0.2, -5, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 14) in base 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9*-3)\/(539\/462).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/28 - 11\/7. List the prime factors of 0\/2 - (-9 + h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, b: 6}. What is prob of picking 3 p and 1 b?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i. Let j(l) = -211*l**2 - 4*l. Give j(k(n)).\nAnswer: -3376*n**2 + 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.2 (b) -1 (c) 1 (d) -0.0328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 79 - 287 = 0. Suppose 3*h = 133 + w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.2. Let l = 1443\/4 + -212353\/588. Let m = 3\/49 + l. What is the closest to w in -3\/7, m, 0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-510)*(-54)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 10 = 3*n. Let v = n - -5. Let q = v - -13. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36980759732*m**2 + 18490379864*m**2 + 18490379871*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhaqxxp. Give prob of sequence bqa.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2 + 1 - 2*k + 1. Let d(m) = -256*m**2 - 12*m. Let j(t) = 30*t**2 + t. Let h(c) = d(c) + 12*j(c). Determine g(h(v)).\nAnswer: -208*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009241 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 6) + (-9 - 65\/117).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbg when three letters picked without replacement from rkgkgbaaw?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 10*f. What is m(14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.758 - 0.75750672. Round k to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76\/145 + -18\/145. Sort 94, -5, b, 2\/9, -4 in descending order.\nAnswer: 94, b, 2\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/30 and (-10)\/(-60) + 2\/(-324)?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(243) + sqrt(243) + -1))**2 + sqrt(15)\/(sqrt(5) + sqrt(20)*-6)*6.\nAnswer: -14262*sqrt(3)\/11 + 35031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 77 = 4 + 29 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001241624 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 - (181 - 114) - -5?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2654 + -2996. Which is smaller: -1022\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 242, 259, 276?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 557 = 737. What is the lowest common multiple of 120 and k?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, v: 5, k: 1, a: 6, l: 2}. Give prob of picking 3 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3 - 5. What is the third derivative of m**2 + 3*m**2 + 2*m**c + 0*m**2 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47946309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 3*m**2 - 5*m. Let a be v(-4). Let x(t) = -a*t**2 + 2*t**2 + 3*t**2. Let l(f) = f - 3*f - 5*f + 2*f. Calculate l(x(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1\/33 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*x + 22, -5*l - 6 = 3*x + 23. Let a be (-6)\/(-9) + l\/6. Which is greater: 1\/9 or a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 667066, 2, -5, 502 in descending order.\nAnswer: 667066, 502, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i - 49. Let o be r(6). Let n be 1 - o - 28\/(-7). Solve -2*m - 10 = -n*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (-5)\/(-1) + 1. Let l(t) = -23*t**2 - t. Calculate l(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -64*d**2 + 3*d - 6. Let a be y(4). Let u = a + 1591. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -845 - -460. Let m = b - -803. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-12)\/45)*434\/35. Let p = 184 - d. Sort -5, p, -1\/6, 1\/2.\nAnswer: -5, p, -1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 32. Let q(d) = -7*d - 3. Let w be q(-1). Solve 3*t + u = -w*c, t + 0*c - 5*c = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 205662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -50\/3*a**2 + 4*a + 11\/6*a**5 - 130\/9*a**3 - 7\/6*a**6 + 7 + 355\/36*a**4. Suppose u(r) = 0. Calculate r.\nAnswer: -5\/3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 14436.5?\nAnswer: 14433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 5\/6*x**3 + 1\/12*x**4 - 5\/2*x**2 - 10 + 5*x. Let a(s) be the first derivative of i(s). What is a(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/36 and 55\/938628?\nAnswer: 938628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/24)\/((-1)\/8) - (1 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203101 - -23?\nAnswer: 203130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9663 and 2.\nAnswer: 19326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -25.034. Let n = l + 0.024. Let y = 0 + 0.5. What is the biggest value in n, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/(12\/24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*u + 10, -5*g + 2*u + 1 + 0 = 0. Let s(h) = 1 + 2*h + 1 - 4. Let v be s(1). Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*h + 1348 + 1073 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192.8 - -232. Round o to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 53 - 26)*(-57*s**4 - 61*s**4 + 116*s**4 - 14*s).\nAnswer: 6*s**4 + 42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3930 divided by -1310?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = -4*z + 5*p, z - 4*p + 172 = 21. Let h = z - -3181\/19. Is -1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 17*s - 13. Let y be l(-17). Let z be (0 - 5)\/(2\/(-10)). Let f = z + y. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, 2\/3, 0.03096, 2\/13?\nAnswer: 0.03096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(19*c**4 + 6*c - 6*c) + 4*c**2 + 5*c**4 - 4*c**2.\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3340644*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.51198 and -2.\nAnswer: 10.51198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134655 (base 7) to base 12.\nAnswer: -12a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(1\/3))\/x)\/((x**(-3\/2)*x)\/x))\/(x**(-2\/3)*x\/x**0) assuming x is positive.\nAnswer: x**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171831334?\nAnswer: 2, 85915667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-40)\/14)\/((-26)\/(-182)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-10962)\/36*32\/(-336)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208671395 to the nearest integer?\nAnswer: 14445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81596, -163188, -244780, -326372?\n\"Answer: -81592*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 918 and 2862.\nAnswer: 48654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p*p\/p**21)))\/(((p**(-1\/8)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(-127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 - 47 - 40 + 21*l in the form d*l + g and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -146442*c + 1610849. Determine d(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-8 - (-93)\/6) + -1 + -5. Solve -3*h = -5*k + 3 - m, 5*h - 10 = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - 9. What is the first derivative of 58*k**2 + 34*k**2 - 69*k**2 - a - 3 wrt k?\nAnswer: 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 474 = -3*v, -3 = 3*v - 2*v. Let c = 112 - 168. Let q = c - h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 124*w**3 - 6572. Let v(h) = -9*h**2. Calculate z(v(y)).\nAnswer: 30132*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 14. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4309374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1465.71 * -18\nAnswer: -26382.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 take away 0.099462?\nAnswer: -0.289462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 55, 244, 615, 1228, 2143?\nAnswer: 3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 35473190.\nAnswer: 35473187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 4. Let b be j(-3). Let w(q) = -q**2 - 8*q - 12. Let g be w(b). Let h(i) = 0*i - 2 + 3*i - i + 4*i**2 + i**g. Calculate h(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*d + d + 9, 0 = -5*d + 2*f + 20. Let k = d + 12. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 14.3 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -331054248*o**3 - 347009578 wrt o.\nAnswer: -993162744*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-8 - -2)*1. Suppose y = 4*y + 6. Let u = y + d. Is u greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366064287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:37 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*g - 6, 0 = -4*u - 2*g + 9 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38.64 and -47630431501.\nAnswer: -47630431462.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b**2. Let m(l) = l**4 + 3*l**3 + 2*l**2. Let d = 6 + -4. Let q(s) = d*m(s) - 6*c(s). What is the third derivative of q(r) wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3384549 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 33\/(-6) - 2\/4. Let r be (4 + v + 1)*2\/3. Let i = -0.3 - -0.1. What is the closest to 1 in i, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x + 1. Let z be h(-4). Let t = -12 + z. What is the remainder when t is divided by (-4)\/(-10) + (-66)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((12320\/126)\/20)\/(22\/(-33)))\/(16\/6).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44742241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 31*b**2 + 135*b + 173. Calculate x(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236 - -236. Suppose b = 2*s - 451 - 121. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -61 - 33) + -67\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 405 = 5*z, o - 2*z - 2*z = 56. What is the remainder when o is divided by ((-60)\/(-1200) - 3\/(-4))*(-15)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3807, 3825, 3859, 3915, 3999?\nAnswer: 4117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -3.07. Which is the nearest to 1? (a) -5 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -2*(sqrt(700) + sqrt(700)*-1))**2*4 + -2 + -4.\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 3. Let o(a) = 4*a - 12 - 22 + 36. Let u(p) = o(p) + 2*w(p). Determine u(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-444540)\/(-2390))\/((-11)\/(11\/6))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*o**3 + 3*o**2 - 3*o**2 + 455*o**3 - 230*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 569329*g*x**3 - 104*x**3 + 5*x + 139 wrt g?\nAnswer: 569329*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 4*z**2 - 8*z - 6. What is the units digit of k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -3\/7, 4.\nAnswer: -3\/7, -0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 426\/20*12535\/7521*1\/2*4.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 123. Let o(l) = 4*l + 8. Let g be o(f). What is the highest common divisor of 224 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/9, 2\/9, -7498?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 128*z**3. Suppose 0 = 2*r + c - 7, r + 24 = 3*c + 2*c. Let o be u(r). What is the highest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**5\/5 - 13016*m**4\/5 - 12112*m**3 - 86432*m**2\/5 - 6912*m = 0. What is m?\nAnswer: -1080, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 42898 - 46498 - 5*m - m.\nAnswer: -3*m - 3600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7\/6, 1, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/80 and 119\/260.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90728 is divided by 90728.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y**2 + 0*y**3 + 1 + 5*y - 1\/5*y**5 + 0*y**4. Differentiate d(n) with respect to n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*p = 52, 0*y - 2*y = -3*p - 4. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*l + 4, 0 = -2*s - 2*l + 5*l - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 1. Calculate v(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*a + 5*a + 14*a - a + 4*a - a + (-2 + 2 - 2*a)*(-2 + 1 + 3) - 9*a + 19*a + 10*a + (-3*a + 3 - 3)*(3 - 12 + 2).\nAnswer: 85*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*t + 11*t = 0. Suppose 1095 = 5*m - t*m + s, -2*m - 2*s = -446. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -950 in ascending order.\nAnswer: -950, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 615 = -0*r - 5*c, r - 123 = -5*c. Suppose 0*o + 3*w = -4*o - r, -5*o + 5*w - 145 = 0. Find the common denominator of 28\/5 and 2*3\/2 - (-425)\/o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3 + 12176*n**2 + 9438 wrt n?\nAnswer: -3*n**2 + 24352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203343 + 425?\nAnswer: 203770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -10201?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -155 + 58*c + 155 in the form q + m*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1564 in 4\/7, 0, 3, 1.8, 1\/2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -3 (c) -3\/7 (d) -4 (e) -0.23904\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 + 0.13. What is the third biggest value in 6, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1\/3)\/x)\/x*x)**(29\/4)*(x**(-2\/7))**(-20))\/(x**(-5)\/(x**(-2\/3)\/x)*(x**1*x)**(-2\/49)) assuming x is positive.\nAnswer: x**(3947\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2 (c) 0.4 (d) -26 (e) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5807 is divided by 47.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4449 is divided by 278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 3*x - 2*x + (0 + 2 + 0)*(2*x + x - 2*x) + 2661*x - 1120*x - 751*x + 5*x - 2*x - 4*x in the form t*x + d and give t.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -70. Suppose 4*a - 6*a = -3*i - 14, -a = -5*i - o. Find h, given that 2\/3*h**a + 2\/3*h**2 + 4\/3*h**3 + 0*h + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3325 and 887950.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 1. Let r(z) = -4*z**2 + 12*z + 9. Let x(t) = r(t) - 5*y(t). Let d be x(-12). Solve -2*n - 1 = -4*n - 3*i, -d*n - 2 = 2*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 - 2*j. Let o be x(-2). Suppose -o*a = -40 - 52. Suppose 0 = 19*q - a*q + 996. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and -23\/5408?\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((2 - 4)\/4). Let d be t - (-24 - (-5 - -2)). Suppose d = u - 3*x, x + 41 = 2*u + 6. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/98231?\nAnswer: 5\/98231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-14))\/(1\/48))\/((-705)\/3290)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159\/4 + 40. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 <= 116014.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 18*d**3 + 12*d**2 - 12*d + 15. Let v(p) = 8*p**3 + 6*p**2 - 7*p + 7. Let x(g) = -3*k(g) + 7*v(g). What is the least common multiple of 18 and x(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w - 10*w - 6*w - 14*w in the form o + u*w and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -137. Solve 0 = 3*i + i - 3*b + f, 28 = -5*i - 2*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 6*w**2 + 19*w - 6. Let b(h) = -5*h - 9. Let k(d) = 7*b(d) + 3*n(d). Let o be 6 + 0*(-4)\/(-20). What is k(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1261 = 1867. What is k in -22 + 76 + 54*k + a*k**3 + 18*k**2 - 780*k**3 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/195)\/(((-4)\/1)\/(-12)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -167, -657, -1479, -2633, -4119, -5937?\n\"Answer: -166*h**2 + 8*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 4, 17, 50, 109?\n\"Answer: t**3 + t**2 - 11*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*o = 4*o - 25, -r - 10 = -3*o. Let n(w) = w**3 + 7*w**2 - w - 6. Let v be n(r). Suppose 0 = -c - v + 4. Sort 5, -3, c in increasing order.\nAnswer: -3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/31548 and 46\/758175.\nAnswer: 724815300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**4 - 200*u**2*x + 669*x wrt u.\nAnswer: 8*u**3 - 400*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -8126477.8?\nAnswer: -8126477.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - ((-278)\/3)\/(2\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 675002*s**3 - 6783121*s**2 wrt s.\nAnswer: 4050012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 71*f**2 - 68*f + 292. Calculate n(-72).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 602, 5007, 16954, 40211, 78546, 135727, 215522, 321699?\nAnswer: 458026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -163 in descending order.\nAnswer: 5, 0, -4, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 18 = 0, 0 = -4*i + 2*y - 6*y + 24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n + 2*n. Suppose -r = -n*r + 123. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 13*g**2 + 24*g**2 - 9*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 138 = -17*u. Find the third derivative of -u*z**4 - 33*z**4 + 40*z**2 + 28*z**4 wrt z.\nAnswer: -672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010222 (base 3) to base 6.\nAnswer: 25212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 592 - 412. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 94*n**2 - 397*n + 28680. Calculate t(95).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/216 and -13\/5058?\nAnswer: 60696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*r + 238087804 + 1607471906. Suppose -4*p - 7*f + 2*f + r = 0, 0 = 3*f + 6. Round p to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**(1\/13))\/y)\/y*y*y)\/y*y**(2\/17)*y*(y\/y**1)**(2\/11) assuming y is positive.\nAnswer: y**(451\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3\/7*l + 6\/7 + 3\/7*l**3 - 6\/7*l**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = y + 55 + 3, 4*g - y - 47 = 0. Let q be 8\/6*(-3)\/(-2). What is the biggest value in q, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**2 + 9*t - 5. Let k(l) = 11 - 31 + l - l**2 + 19. Calculate c(g) - 5*k(g).\nAnswer: -g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 10*j + j = 0. Solve j = -5*n + 9*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7068 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131*i**4 - 412647*i**3 - 351*i**2 - 170679*i?\nAnswer: -3144*i - 2475882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-9 + 4 - -2) - (2 + -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/((o\/(o**16*o))\/o*o))\/(o*o**19))**50 assuming o is positive.\nAnswer: o**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 1 + 3. Let h be 10 + -9 - (i + -17). Suppose 157 = 4*o - 115. Calculate the highest common divisor of h and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1734, -2551, -4844, -9351, -16810, -27959?\n\"Answer: -123*u**3 + 44*u - 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 21. What is z(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-33))\/((220\/(-30))\/22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.204961 rounded to 3 decimal places?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -2)*(16 - 492\/30). Let b(p) = 4*p**3 + 3*p**2 + 3*p. Let z(g) = 4*g**3 + 2*g**2 + 2*g - 1. Give f*b(d) - 3*z(d).\nAnswer: -4*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (239\/(-1) - 1) + 4. Let i = -232 - c. Let x = 3 - 0. Solve i*h + 5 = x*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8 (base 14) to base 11\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*p - 60. Let j be -4 + -3 + (-30)\/(-2). Let k = 52 + j. Calculate the highest common factor of p and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2478 to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g + 11*g - 17*g)*(-58 + 13 - 59) to j*g + f and give j.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = 0, -4*a + 13*y = 8*y - 43. Solve a = l + 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + 13\/4. Suppose -k*m = m + 8. Let c(y) = -14*y - 3. What is the units digit of c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 15*p + 12. Calculate the smallest common multiple of 16 and w(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r + 2*r + r)*(382 + 80 - 177 + 232) to b*r + p and give b.\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jivnjinijvnnn. What is prob of picking 1 n, 1 j, and 1 i?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -810, -809, -808, -807?\n\"Answer: c - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 4619480?\nAnswer: -4619473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74090*s**3 - 274 - 37048*s**3 - 37046*s**3)*(-3 + 3 - s)*(2 - 2 - 1).\nAnswer: -4*s**4 - 274*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 - 3*w**3 - 2*w**3 + 7*w**3 - 3*w**3 - 3*w**3 + ((3*w**2 - 6*w**2 + 0*w**2)*(-3 + 3 - 2*w) - w**3 - 2*w + 2*w)*(4 - 2 + 0).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 + 5*w**3\/3 + 5*w**2\/2 + 6*w + 2. Suppose -9*o - 36 = -0*o. Determine a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9651 - -17213. Does 105 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5766 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z + 1. Let t(g) = 4*g**2 + 4*g + 1. Let v(p) = -3*p - 94. Let r be v(-32). Determine r*j(k) - t(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 10 = 3*i, 2*i + 10 = -c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0*w**5 + 0*w**6 - 167\/210*w**7 + 118*w**2 - 1\/6*w**3 + 0 + 7\/8*w**4 + 0*w. Find the second derivative of s(b) wrt b.\nAnswer: -2004*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/81075 and -88\/5175?\nAnswer: 243225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84703*r**2 + 16 - 4*r**3 - 84699*r**2 + 169407*r**2 - r to the form w*r**3 + k*r**2 + z + g*r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 501.2752 millimeters?\nAnswer: 501275200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*l - 131647, -3*l - 93099 + 5336 = -2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.948522 to three decimal places.\nAnswer: 1.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1605*r. Let d(h) = 3382*h**2. Determine d(y(b)).\nAnswer: 8712116550*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t**3 - t**2 + 7*t - 11. Let n be b(3). Let m = n + -309. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00155 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 720095 to the power of 1\/2, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-19 - -46) + -27 - (37 - 3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38\/7 + 176\/35. Let x = 15 - 13.8. Let k = -0.2 + x. Which is the nearest to k? (a) i (b) -2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -16138?\nAnswer: 16137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -5, -1\/74, -278?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*m + 2*o - 29, -3*m = -5*o - 5. Suppose -4*n + 1362 + 2016 = 2*w, -5*w = -m*n - 8370. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171883900 to the nearest 1000000.\nAnswer: -172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.14 or 35087\/29?\nAnswer: 35087\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 1. Let w = n - -13. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iij. What is prob of picking 2 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18)\/((-3)\/(-6)*-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 0*o + 15 = -3*o, -r + 5*o + 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241\/5 + -48. What is the closest to 19 in w, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a milligram in micrograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1695436*p - 684666 wrt p.\nAnswer: -1695436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 614*y + y**2 + 16 - 621*y + 0*y**2. What is the tens digit of n(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1339\/309*2)\/(9\/108)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-1)**2 + (5*sqrt(20)\/sqrt(4) - sqrt(5)).\nAnswer: 4*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 - ((0 - -5) + (-26 - -23)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181 + -1269\/7. Let y = -1.5 + 0.5. Which is the nearest to y? (a) 5 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 251, 528, 863, 1286, 1827, 2516?\n\"Answer: 5*f**3 - f**2 + 245*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -163, -666, -1513, -2704, -4239, -6118?\n\"Answer: -172*t**2 + 13*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 4*c - 438 + 4567*c**3 + 635*c**3 + 438.\nAnswer: 5202*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*h - 190103 + 3389 = 193*h + 761*h for h.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*(sqrt(17) - -3*sqrt(17))*-3)**2 + (2*-3*sqrt(1377)*5)**2)*1.\nAnswer: 1484100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q - 12 = 0. Let l = 10 + q. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*b**4 - 17308*b**2 + 60320625 wrt b?\nAnswer: 72*b**3 - 34616*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 31 (b) -58 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (306\/4)\/((-5859)\/1302).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus -0.0395?\nAnswer: -23.9605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58310 and 1530?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 1 + 5. Let r = 0 + 1. Let q be 6 + -1 - (2 - r). What is the closest to m in 5, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) -20 (b) -12 (c) 2\/19 (d) 270\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -974 less than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 4*p + 3. What is the remainder when 7 is divided by y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3490674 and -149\/1586670.\nAnswer: 17453370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 465523349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 1. Let n be y(0). Let b be (-11)\/22*(28 + 0)*n. Let c(p) = p**2 + 10*p + 35. List the prime factors of c(b).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 1ce6?\nAnswer: -1ce8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -7*m + 4*m. Let z be (-2)\/4*20\/15. Suppose -o = o - 6. Which is the closest to m? (a) z (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 985, 864, 663, 382?\n\"Answer: -40*d**2 - d + 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**2 - 4*o + 4. Let l be b(2). Let d = -32 - l. Calculate the greatest common factor of d and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*f - 50, -4*v - 5*f - 6*f - 36 = -6*f + 14 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2080 = 605*p - 865*p. Let d(a) = -a + 37. Let z(i) = 2*i - 110. Calculate p*d(j) + 3*z(j).\nAnswer: -2*j - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(18\/2) - 1. What is the closest to y in 4, -1, 2.3, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 3, t: 1, z: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3792*k**2 + 1898*k**2 + 1900*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8047*x**2 - 10261*x + 2.\nAnswer: -16094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18406 - 35559 = -43*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1383, 5, -1991 in ascending order.\nAnswer: -1991, -1383, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 2*z + z)*(4 + 0 - 2).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/12 + o**3 + o**2\/2 - 4*o. Let x be z(6). Suppose 2*b + 11 = 3*l - 3, -b = x. Is 2 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 - 396. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) - 39\/60. Let l = -9.8 - -10. Sort -0.3, q, l in decreasing order.\nAnswer: l, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(4\/7))\/(k*(k**8*k)\/k)*(k\/(k\/(k*k\/k**(-7)*k)))\/(k*k**7))**(-8) assuming k is positive.\nAnswer: k**(368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:36 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3138690615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*z + 117*z - 3 + 1 to d + s*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -313 times -1\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = -4*b + 164, -632*b + 36 = 3*p - 323*b - 310*b - 13 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5470 - 54779\/10. Calculate the common denominator of -26\/375 and j.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**3 + 30*w**2 + 144*w + 330. Calculate f(6).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 64\/80*(-5)\/3*(-33)\/(-242)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017165042 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*5*-2*(sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68)*-1))) - sqrt(68)))\/((sqrt(4) - 4*sqrt(20)\/sqrt(5)) + sqrt(20)\/sqrt(80)).\nAnswer: 320*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 3*b - 29 = v, 0 = 2*v - 16*b + 3*b + 128 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 6*f**3 - 8*f**2 - 9*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -43*u**4\/2 + 121*u**2\/2 - 165. What is the second derivative of y(l) wrt l?\nAnswer: -516*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 5 - 2 - 3 + 3 + (-5 + 2 + 4)*(-4 + 3 + 3))*(3*f + f + 5*f) as h + g*f and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o - 8 = 0. Let m be (-2 - 0)*-2 + o. What is the remainder when 49 is divided by ((-1)\/m)\/(4\/(-104))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821 at most as big as 4609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12*u**2 + 335*u - 20. Calculate the remainder when 135 is divided by d(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311.15*-1.3.\nAnswer: 404.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 - 54*s**4 + 438*s**3 - 1010*s**2 + 912*s - 288.\nAnswer: 2*(s - 12)**2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b**6 - 1 - 128*b**4 - 2*b**5 + 210*b - 49*b**4 + 2*b**2 + 211*b**4 - 138*b**4 + 0 wrt b.\nAnswer: 960*b**3 - 120*b**2 - 2496*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 3*i - 27*i + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-455)\/1820*(-50)\/(-1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -3)\/4)\/2. Let q(m) = -m**3 - m**2 - m + 6. Give q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -98*o**5 + 1022*o**4 - 862*o**3 - 3398*o**2 - 1632*o - 216 = 0.\nAnswer: -1, -2\/7, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*f + 56. Solve z - 6*z + 50 = 5*h, -3*h = -z - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 27. Find the second derivative of y*f + 0*f - f - 10*f**4 - f wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - 6\/54*-7. What is the highest common divisor of v and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 6. Let i be k(-4). Let u(m) = 2*m + 5. Let t be u(i). Suppose 2*j + t = 7. Solve -5*w - 13 = 3*r, -r + 5 - 16 = j*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 22*a + 192. Suppose -2*r - a = -5*r - 4*s, 4*s + 52 = 2*r. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 3*n - 72. Let p be 3\/(n\/(-15)) - 1. Suppose 0*t + 172 = p*t. What is the remainder when t is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 0*f**2 + 2*f**2 + f)*(37*f**3 - 82*f + 82*f).\nAnswer: -111*f**5 + 37*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 603846279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -7*t + 38, 157*c = 156*c + 6*t - 42 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*q**2 + 0)*(-383*q - 127*q + 182*q)*(-3 + 2 - 4) as o*q + n + h*q**3 + j*q**2 and give h.\nAnswer: -3280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26179795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.6 + -1.6. Let l = v - 11.85. Let f = l - 0.14999995. Round f to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 19*i - 30. Is (-4)\/(-10) + (-8913)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264.9571 + -0.0429. Let g = -264.99999694 - t. What is g rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csasj. Give prob of sequence aj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -41?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7482)\/(-377) + (-1)\/13*-2. Let b be -9*(-64)\/r*(-4 - 6). Let u = -150 - b. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -21, -35?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - g - 5. Determine j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*44\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(17) - sqrt(68)))**2*-1 - (sqrt(153) + sqrt(153) + -1*sqrt(153)*2 + sqrt(153))\/((sqrt(81)*-2)\/sqrt(9) + sqrt(9)).\nAnswer: -126 + 31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2)*l*l**3*l*l)\/(l**(1\/2))**(7\/2)*(l**(2\/9)\/l**(-1\/5))\/((l*l*(l*l**(-1\/7))\/l*l)\/l*l**(-1\/10)) assuming l is positive.\nAnswer: l**(7453\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 16835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h - 2*h. Suppose 0 = -3*j - h*a - 3*a - 6, 0 = 2*j - 2*a + 16. Let r(n) be the third derivative of n**4\/24 - 7*n**3\/6 - 2*n**2. Determine r(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 249025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 + -140 + 2 + -3 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 163 + 7. Let j = -384 + 400. What is the remainder when t is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 8. Let i(d) = -4*d + 14. Let l(m) = 3*i(m) + 5*s(m). Calculate l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41968*c**3*s**4 + 61*c**3*s - 307*c**2*s**2 wrt s?\nAnswer: -1007232*c**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:17 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7310 = -4*a - 1578. Suppose -12*b = a - 65789. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 36, 66, 106?\n\"Answer: 5*m**2 + 5*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-26))\/(4\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1037 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -420027454, -420027455, -420027456, -420027457, -420027458?\n\"Answer: -k - 420027453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 6 = 4*j + 8*o, 2*j = 4*o - 30. Solve 0 = -5*w - 11*m + 12*m - 8, -j*w = m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o = -90*o - 3. Let d be ((-63)\/27)\/(1\/o). Solve 0 = 5*u + d + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 300\/(-360) + (-5238)\/(-5508). Factor 128\/17 + 60\/17*t - r*t**2.\nAnswer: -2*(t - 32)*(t + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 44 = -4*u. What is the first derivative of 52*n + 21*n + 11*n + u*n - 11*n + 188 wrt n?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10130023 (base 4) to base 10\nAnswer: 18187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 38*b\/9 + 4.\nAnswer: 2*(b + 1)*(b + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.241967kg to grams.\nAnswer: 9241.967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + 9550\/75. Suppose 0 = -z + 5, q = 2*n + 2*z + z. What is the remainder when n is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 184, 4\/3, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3039 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*n = 2*n - 20, 2 = 3*m - 2*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 174648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 684*m - 16 = 27*y - 11*y - 679*m, -8*y + 5*m = -97 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 - 3 - 1 - 8*p - 2 + p**3 - 2. Let b be z(-5). Let i(l) = 5*l + 1. What is the units digit of i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*n - 165303*n**2 + 131*n + 136*n.\nAnswer: -165303*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 260555969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose 4*a + a = -b + 19, -2*b - 10 = -2*a. What is the units digit of 8 + -2 - h\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 5*c**5 + c**5 + (35*c - 89*c + 1 + 36*c)*(3*c**4 - c**4 - c**4).\nAnswer: -20*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1781836 and -37\/441.\nAnswer: 16036524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -47*u**2 + 381*u + 31. Give a(10).\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (31575\/35)\/5 - 6\/14.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3357 and 687812?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-7)*1040\/(-2600)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112311101 (base 4) to base 12.\nAnswer: 46155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/(-5 - -7). Let z = -70 + -121. Let s = -1525\/8 - z. Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20100 greater than or equal to 20101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/20 - 11*q**4\/12 - 3*q**3\/2 + 7*q**2 + 67*q - 2. Give u(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 93577192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 7*r**2 + 3*r - 8. Let h be q(-6). Suppose 0 = -5*v - h. Let i = -1 - v. Which is the smallest value? (a) -1\/7 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/11 + 964*f**3\/11 - 3594*f**2\/11 - 6180*f\/11 - 1625\/11 = 0. Calculate f.\nAnswer: -325, -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 280 - 4. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*(-7)\/(336\/30)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + -2 - 49000\/(-100) is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r - 2*g + 10, 0 = -3*r - g + 7. Suppose -r = 3*j - 7. Solve -j*q + 4 = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1154957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(931))**2*4 + -3.\nAnswer: 59581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5929*a**2\/4 - 21945*a\/2 + 81225\/4.\nAnswer: (77*a - 285)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + b)*(5 - 14 + 7)*(3*b**2 - 11*b + 11*b) to q*b**3 + z + u*b + w*b**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 226*w - 14. Let c be m(-8). Let q = c + 14555\/8. What is the common denominator of 104\/(-44)*((-20)\/(-8) + -3) and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*x = 127*x + 905. What are the prime factors of x?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11125629 less than -0.01647545?\nAnswer: 11125628.98352455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 4917.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 17*y**2 - 2 + 1 - 2*y**3.\nAnswer: -2*y**3 + 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2313 + 1911 = 192*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4 + 2*k)*(0*k**4 - 3*k**4 - 5*k**4 + (3*k**2 + 3*k**2 - 5*k**2)*(k**2 + 3*k - 3*k) + 0*k**4 - 2*k**4 + 0*k**4).\nAnswer: -18*k**5 + 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 1, e: 5, x: 2, v: 7}. Give prob of sequence eb.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 + 6*a - 3. Let y be s(5). Solve 0 = -y*o + 2*u - 8, 4*o + 2*u = 5*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 1, 5, -2.\nAnswer: -9, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*w**3 + 1330*w**2 = 0. Calculate w.\nAnswer: 0, 266\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12986*t - 13014*t - 112 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10644540385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(539)*-1) + (sqrt(11) - sqrt(55)\/sqrt(125)) - (sqrt(33)\/(sqrt(3)*2) - (sqrt(396) + 2))**2.\nAnswer: -1347\/4 - 66*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -82, -157, -254, -373, -514?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34613*p - 108 = -34663*p - 358 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 0.111\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3238 - -388591\/120. What is the common denominator of o and -25\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.006?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5436979, -5436981, -5436983, -5436985, -5436987, -5436989?\nAnswer: -5436991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(432) + (sqrt(432) + sqrt(432) + 0)*2)**2 + 2.\nAnswer: 21602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u + 11. Let i = 4309 - 4315. Let p(v) = 11*v + 10. Give i*z(l) + 7*p(l).\nAnswer: 5*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*v + 88. Let g = -2 + 4. Suppose -3*u + g*u + 25 = 0. What is the highest common factor of u and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k + 2. Let n(a) = 17*a - 2. Let g(q) = -59*q + 7. Let t(r) = 2*g(r) + 7*n(r). Calculate -c(u) - 6*t(u).\nAnswer: -13*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus 0.413742086878?\nAnswer: 13.413742086878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4\/5 - 1294*y**3\/5 - 10498*y**2\/5 + 2358*y = 0.\nAnswer: -9, 0, 1, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.049 (c) -1 (d) -0.5 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3528 and 253647324?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62328690 is divided by 4287.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 2. Let z = 24 + -22. Suppose -3*w + 96 = -5*p, 5*w - 49 - 77 = -3*p. What is the remainder when w is divided by f(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r - 1. Let z(a) be the first derivative of -11*a**4\/2 + 2*a**3\/3 - a**2 + 3*a - 6735. What is -2*l(y) - z(y)?\nAnswer: 22*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -10 - (17 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4296 or 227682\/53?\nAnswer: 4296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 11*h - 16*h = -39, 0 = 2*h + 6. Solve -43*b - j = 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95754 = -12*l + l - 4*h, 34816 = 4*l + h. Calculate the highest common factor of 133 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -53. Are m and 1\/33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 23*v - 24*v = -1552. Calculate the remainder when v is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 + 3*f + 5. Let g be n(-3). Solve -g*j - 11 = -4*q, -5*j = -q - 4*q + 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4781 + (-4)\/((-1 + 5)\/2). Calculate the highest common factor of 177 and i.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(972) + -2*sqrt(972))*5)**2.\nAnswer: 218700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 126, 115, 88, 39, -38?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 43*o - 118*o + 10*o.\nAnswer: -148*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 479 = 48*y + 133 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(8\/(-7350)) + (-52)\/(-208) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50064 (base 7) to base 4\nAnswer: 2330103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -31 and -31 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*b = -32, 3*i + 35*b - 11 = 40*b. Let u(p) = -p**2 - 8*p - 17. What is u(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Let w = 1.3909 - 0.3909. Which is the closest to p? (a) -0.3 (b) w (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 0, t + 61 = 4*n - 279. Let g = n - 60. Suppose 5*f + 5 = 3*m, -2*f - f + g = 4*m. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30663*c = -30519*c + 1440 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1338 + 1350. What is the remainder when 322 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.18, -0.5, -5, 3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let x = -113\/21 - -40\/7. What is the nearest to 0.1 in x, -3\/5, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 36 - 2*h**3 - 136 - 16 - 68.\nAnswer: -2*h**3 - 299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 48, -731, -1528, -2349, -3200, -4087?\nAnswer: -5016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 219262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**2 + 15*u - 8. Let a be i(12). Round a to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + (1 - 1))*111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 687235778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2 + 4*y + 3. Let r = -18 - -14. Let w(k) = k**3 - 3*k - 2. Let t(j) = r*w(j) - 3*n(j). Let b be t(2). Solve b*h = -0*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.873 + -0.073. Let v = t + -11.9. Round v to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(4) + 5.\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 272722 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*g - 28 = 7*d, 0 = 2*d + 5*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-1\/45)*d\/(d\/(d\/(d*(d**(-1\/4)*d*d)\/d*d)))*d**(5\/3)*d)\/(d**(2\/3)*d**0)**(2\/7) assuming d is positive.\nAnswer: d**(61\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2 - 8*g**2 + 0*g**4 + 3*g**4 + 2*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 0*y + 7*y**2 - y**3 + 7 + y. Suppose x - 7 = o, -o - 25 = -3*x - x. Is i(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let v = 440 + -434. Let s be (-1)\/6 - 99\/(-3807)*v. Are s and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1429*h**2 - 1 - 226*h**2 - 1.\nAnswer: -1655*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pghdpkkkhepkkdppkp. What is prob of sequence kde?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**6 + 314*z**4 + 15*z**2 - 32?\nAnswer: -360*z**3 + 7536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11526*z = 11558*z - 448 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.206 rounded to 1 decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 4 = -4*f - 4*o, -4*f - 2*o = -22. Let v be 0 + (6 - (-1 + f)). Let m be 9\/(-7) + v\/3. Is m > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + 2*k**2 + 1. Let q be s(-2). Suppose 3*v - 3*d - 41 - 22 = 0, -3*v - 4*d = -q. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1973323 or 1973322?\nAnswer: 1973323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -6\/7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y + 321 + 306 - 96 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 3*y**2 + y - 4. Give i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 7 = 4*n - 21, 5*z = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12176 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -80620 rounded to the nearest one thousand?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.3 (b) -3\/4 (c) 6491181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71*((-7)\/(-3)*(-1620)\/(-1260))\/(-3)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - (-2)\/10. Suppose -3*l = 11 - 35. Suppose 3*r - 5*f - l = 0, 5*f + 8 = 3. Solve -3*c + 14 + r = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 48 = 12. Let z = 325 + -323. Solve 5*w - a + z = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -3. Let z be ((0\/2)\/2)\/1. Let s = x - z. What is the highest common factor of 30 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-2)\/(sqrt(180) + sqrt(180)*1 + sqrt(180) - sqrt(180) - sqrt(5)))\/((-1*sqrt(2000))\/(-2*sqrt(1210) + sqrt(1210))).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18568 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1117, 1158, 1197, 1234?\n\"Answer: -p**2 + 44*p + 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*p\/p**(2\/3))\/((p**(-2\/7)*p)\/(p\/p**(-25))) assuming p is positive.\nAnswer: p**(580\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 + 2 + 4)\/(4\/(-2)). Suppose d*n - 80 = -4*n. Solve -5*t = -n - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402 + 13*w - 402 to the form h + g*w and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, i: 1, h: 1, y: 4}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2359*w - 3475 - 53141 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-875) - (-4)\/50\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*o - 2, 22*o = 20*o + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*z = -32, 2*z + 2 = -j - j. Find the third derivative of 15*i**j + 1 - 34*i**5 - 48*i**5 - i**2 - 16 - 15*i**4 wrt i.\nAnswer: -4920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 188. Determine z(-51).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 5 + 20*x - 16*x)*(x**2 - x**2 - x**2) + (3*x**2 + 2*x**2 - 2*x**2)*(5*x - 2*x + x).\nAnswer: 14*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 38186*x + 4162266. Determine z(-109).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111413 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 smaller than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9207*-223.\nAnswer: -651.3161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 14) to base 10.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**2*q**3*w - 10*o**2 + 159*o*q**3*w**2 + 19*o*q**3 + 2*o*q**2*w**2 - 2*o*q**2*w + 1201*o*w wrt q.\nAnswer: 12*o**2*w + 954*o*w**2 + 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**18)\/p*p*p**13 assuming p is positive.\nAnswer: p**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6581, -13051, -19403, -25637, -31753, -37751, -43631?\n\"Answer: 59*l**2 - 6647*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7681 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 4*w**2 + 2*w - 7. Let r be g(-3). What is the tens digit of 37 - (-2)\/(-6)*(10 + r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*j - 5634 + 36459 + 39487 = -323*j for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 991*t + 89186. Determine d(-90).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19173 - 58*d + 30*d + 27*d.\nAnswer: -d + 19173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -146753?\nAnswer: -146724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3495654931.\nAnswer: 23, 11239, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13718 and 148238.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, x: 2, y: 3, f: 1}. What is prob of picking 1 f and 2 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178847645.\nAnswer: 5, 35769529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, 0, 4 in increasing order.\nAnswer: 0, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-72) - 40\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155069.061 + -251584351.061. Let r = k + 251429280.72999941. Let c = r - -1.27. What is c rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1503 divide 96277671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 78*l**2 - 77*l + 23. Let y be d(77). Suppose 2*t + 41 = 1. Let h = y + t. Solve h*o + 5 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363728542?\nAnswer: 2, 887, 205033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aayaaaaaaaaya.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 4*m - 3. Suppose -7 = -4*y + 9. Let i be p(y). Sort i, 1, -5 in decreasing order.\nAnswer: 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) - sqrt(44)*1)*4 - sqrt(44)) + sqrt(44))\/(-2*1*sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.5. Let y = 375.76 - -3.24. Let d = -382 + y. What is the third biggest value in d, g, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from bbbbbbbbbbbbbblbbbb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 6661*d**2 + 33268*d + 243. What is i(5)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - b - b)*(-213 + 159 - 89 + (-3 + 3 - 2)*(2 + 0 - 4)) in the form y*b + o and give y.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 16.7, -109, -2\/19?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -13, -94, 17, -6 in increasing order.\nAnswer: -94, -13, -10, -6, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by 369?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.669752 microseconds in minutes?\nAnswer: 0.0000004778292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 - -305 - (1 - -19) - (8 + 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edydydudeeyddudyudue. What is prob of sequence ey?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 15*a**2 + 32*a - 9. What is z(-17)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 6*a + 2*a)*(40353 - 95571 + 42945) to the form l*a + n and give l.\nAnswer: 24546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/233592216 and 91\/120?\nAnswer: 1167961080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3794476, 3794468, 3794460, 3794452, 3794444?\n\"Answer: -8*q + 3794484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -23. Suppose 5 = -6*k - 37. Let j be 7\/(-1) - (4 + k). Sort 0.5, j, l in increasing order.\nAnswer: j, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56607058357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -79033262 divided by -7184842?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, q: 2}. What is prob of sequence qnq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v + 7*v + 0*v - 34*v - 8*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-306)\/(-17) - 62)*(-3 - -1) is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1712078448 to 3 decimal places.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o - 10 = 0. Let n be (0\/o - 1)*-4. Let r = -17 + 16. Which is the nearest to r? (a) -0.1 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111010 (base 2) to base 6.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - r**4 + r**4 + 3*r**4 + 7 - 7 - r**4 - r**4 + 0*r**4 + (3*r**2 - 4*r**2 + 3*r**2)*(2*r**2 + 3*r**2 - 3*r**2) + 258 + 293*r**4 - 314*r**4 - 242.\nAnswer: -18*r**4 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4198, -6, 5, -14, 4 in ascending order.\nAnswer: -4198, -14, -6, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2, 2.3, 2\/3, 1\/3, 1\/61682?\nAnswer: 1\/61682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135574666.\nAnswer: 2, 677, 100129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13646 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, v: 1, l: 1, h: 1}. Give prob of sequence hvlh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36453, -36452, -36417, -36330, -36173, -35928, -35577, -35102?\n\"Answer: 3*h**3 - h**2 - 17*h - 36438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239.592 and -0.49.\nAnswer: -117.40008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*f + 52 = 0, -w - 6 = 2*f - 6*f. Is 13 a factor of 0\/w + 22 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 5*g - 50. Give a(-14).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvv when three letters picked without replacement from kkvbbvbbb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101490 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735038890?\nAnswer: 2, 5, 13, 2131, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -51. Suppose -3*f + g*p = -155, -f + 5*p = -36 - 34. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * -4.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7 + 9*m + 0*m - m**2 + 8*m - 5*m. Let b be y(13). Suppose -4*h - 14 = -a, 3*a + 36*h - 41*h - 14 = 0. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 15*n**2 - 4 + n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -2\/15*c**3 + 1\/15*c**6 - 1\/10*c**4 + 0*c + 0*c**2 + 2\/25*c**5 - 5. Factor t(a).\nAnswer: 2*a**2*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 273*z**3 - 5*z**2 - 15*z - 12. What are the prime factors of o(5)?\nAnswer: 11, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -4, 0.029734?\nAnswer: 0.029734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(10 + -9 + 8). Let h be 0 + 1 - 71\/65. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 45 = 0. Suppose 11 = 5*b - o. Solve -3 = u - b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-5))\/((-4)\/(-50)). Suppose d + f = -3*k + 137, 3 = 3*d. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/(2\/15). Suppose d = -m + 25, d - v*m - 16 = -3*m. What is the lowest common multiple of (10 - 0)*(-22)\/(-110) and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -16*w**2 - 102*w + 7322. What is c(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*i**2 - 211*i**2 + 106*i**2 - 167*i + 124*i**2.\nAnswer: 151*i**2 - 167*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let y(d) = 2*d**2 + d. Let m(w) = 3*f(w) + y(w). Let u = 9 - 9. Let r be m(u). Solve 3*t + c = -3*c - 8, r = 2*t + 4*c + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62 and -663.\nAnswer: -41106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/5 - 558*v**2\/5 - 111*v + 1114\/5 = 0.\nAnswer: -557, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97\/9 - 436\/63. Let z = -67\/21 + b. Factor 0 + z*d**2 + 0*d - 4\/3*d**3 + 2\/3*d**4.\nAnswer: 2*d**2*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.283\nAnswer: 0.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1, 1\/17, 10\/13, 5, -4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -784319 (base 11) in base 2?\nAnswer: -100110001001110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -327\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 9*q**2 - 14*q - 3. Let o be g(7). Let j(z) be the second derivative of z**4\/12 - z**3\/3 - 5*z**2 + z. What is the units digit of j(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.103 and -761.1.\nAnswer: -78.3933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-18540)\/204)\/15 + 6\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325 + -6 + 2 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/5 and 43\/28207772?\nAnswer: 141038860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 5*g + 3. Suppose 0 = -5*x + 5*b - 5, -3*b + 3 = -2*x + 5. What is o(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(14)\/sqrt(2) + 4).\nAnswer: -8 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23b0c (base 13) in base 12?\nAnswer: 31b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3041269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/40404 and -51\/175084.\nAnswer: 525252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 605042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 + 405*w - 1527. Determine v(-71).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2. Let w(m) = -m**2 - 37*m + 41. Let g be w(-38). Let l(x) = -g*x + 9*x**2 - 11*x**2 - 5*x - 4*x. Give l(d(k)).\nAnswer: -18*k**4 + 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 378\/78 - 41\/((-6396)\/(-12144))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13641*q**2 - 11240*q wrt q?\nAnswer: -27282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*d + 205, -4*z + 5*z - 105 = -5*d. Suppose 6*a - z = a. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + -1458?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1) + 3 - (0 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 339*l + 14601. Calculate g(-43).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245 - 496 - 1452*g + 249.\nAnswer: -1452*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 795758079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*(sqrt(26)\/sqrt(2) + sqrt(13)) - (0 + sqrt(65)\/sqrt(5))))**2.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 1)*(1 + p**2 - 1).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(288)*-1*5)\/(-3*sqrt(96) - sqrt(6)) + 5)**2.\nAnswer: 200*sqrt(3)\/13 + 5594\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7 = -2*z - j, -3*j - 16 = -4*z. Calculate the remainder when 1*(0 + z) - -13 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -164320\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -15\/546011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2299) + (-1*sqrt(2299)*-3 - sqrt(2299)))**2 - 4*(sqrt(2299) + (-1 + sqrt(2299))**2))*-5.\nAnswer: -57452 - 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + 31 + (16 - -17) + -30?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 179241*d - 179253*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoof when four letters picked without replacement from zffeoqfqeooo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/4966 and -101\/428.\nAnswer: 1062724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*a - 945*a - 976*a as q*a + f and give q.\nAnswer: -2109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -540 + 515.65. Let y = 0.35 + c. Let k = y - -22. What is the closest to 0.1 in k, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 467 in 5\/6, -0.5, 1, 0.5, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**2 - 27*j**2 - 21*j**2 - 21*j**2 + 84*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**4\/2 - 4488*a**3 + 1599945*a**2\/2 - 2096748*a - 787968 = 0. What is a?\nAnswer: -1152, -1\/3, 3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1100111220101?\nAnswer: 1100111220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -33. Let x(l) = l**3 - 8*l**2 - 67*l + 522. Let k be x(8). Let c = h + k. Let a(n) = n**2 + 3*n + 2. Calculate a(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4729*r**3 - 5414?\nAnswer: 14187*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 6:46 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or -2\/1271?\nAnswer: -2\/1271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 7*f**2 + 8*f. Calculate q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.51500073 - -0.515. What is r rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-6)*f*f\/f**2)\/(f\/(f\/(f\/f**0)))**48 assuming f is positive.\nAnswer: f**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -2*s + 3*s. Which is the nearest to 3? (a) -0.5 (b) s (c) -2\/5 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z**3 - 3*z**2 - 2*z**2 + 9*z**2.\nAnswer: -34*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 1) + (886 - 846).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108466 by 4400.\nAnswer: 54233\/2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4016689 is divided by 2971?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -12022202010200?\nAnswer: -12022202010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 121026252 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, o: 2, b: 5}. Give prob of sequence ozzo.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -373\/6. Let z = -5 + 3. Which is the third biggest value? (a) l (b) -1\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + q - 1. Let m(s) = -13*s**3 - 52*s**2 + 52*s - 52. Let w = 3130 - 3131. What is w*m(r) + 52*a(r)?\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 580638 divided by -47\nAnswer: -12354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/20 - (-10)\/(-8). Let d(b) = 10*b**2 + b. Let n be d(x). Let v(h) = 85*h + 256. Let q be v(-3). Solve q = -4*s + n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -43*a + 4229. Determine m(99).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403614.8 microseconds to milliseconds.\nAnswer: 403.6148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -4 - (-6)\/1. What is h in -h**3 + 3*h**3 + 2*h**5 + h - l*h**3 + h = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**6\/10 + u**3\/3 + 70*u**2 - 5*u + 36. What is the derivative of y(o) wrt o?\nAnswer: 12*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.0306.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 42 + 42.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 148*d + 2905 - 68285. What is the remainder when 520 is divided by d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**3\/6 - 3*p**2\/2 - p. Let k(w) = 2. Let o be 4\/(-18) + 38\/9. Let z(g) = o*k(g) + 3*v(g). Determine z(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42138 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4370 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*m + m + 4 = 0, -4*r = 5*m - 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*d**3*n**2*z**2 + d**3*n - 3*d**2*z**3 - 7*d**2 - 4*d*n*z**3 + n**2*z**3 wrt n?\nAnswer: 44*d**3*z**2 + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 264\/10 - ((-49)\/65 - 48\/(-312)). Solve g*w + 75 - 264 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2 + 339432*m - 1697110 = 0.\nAnswer: 5, 169711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:35 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 10. What is x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36250 + 18*b + 94736 + 18*b.\nAnswer: 36*b + 130986","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 11*m**2 - 4*m**2 - 2*m in the form n + j*m**2 + h*m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 8. Let i be z(12). Let m(y) = 0*y - i - 3*y - 4 + 6*y. What are the prime factors of m(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13474 + 13687.03. Let m = v + -214. Let p = m + -0.03. Which is smaller: p or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 7 - -1 - 7) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*m**4 + 0*m**4 + 2*m**5 - 664911*m**2 - 3*m**5 + 44*m**3 + 664747*m**2 wrt m.\nAnswer: -60*m**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 811*y**7\/7 - 86*y**3\/3 + 3*y**2 + 813*y + 1. What is the second derivative of f(s) wrt s?\nAnswer: 97320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120120021 (base 3) to base 7\nAnswer: -156316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from xhahhooahhahaoo?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16965 and 522?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.59983 milligrams to grams.\nAnswer: 0.01959983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*v - 22, -5*u = 7*v - 2*v - 30. Let t = u - 3. Let l = 1 + t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*-3*(sqrt(121) - 1*sqrt(121)))\/((sqrt(55)*-1)\/sqrt(5) - -2*sqrt(44)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*u - 25, 0 = 3*u - 3*h + 26 + 7 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22615?\nAnswer: 5, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356 (base 8) to base 10.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*l**2 - 2 - 965*l + 965*l in the form c*l**2 + t*l + i and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6713222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaggdxxaxwg. What is prob of sequence gg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d = 56*d - 10. Suppose -d*j = -3*v - 1, 3*v - 24 = -2*j - j. Let a = j - -7. What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 - 1 + 4*d**3 + 1.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143477 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39187, -3, 2, -2.1.\nAnswer: -3, -2.1, 2, 39187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 54120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1535 - -1534.2. Which is the nearest to -1? (a) 5 (b) -2 (c) -3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 738866*p. Let d(c) = 81*c + 3. Determine d(t(w)).\nAnswer: 59848146*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 33344 divided by -8\nAnswer: -4168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165297087 is divided by 284.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) -0.01 (c) 162692\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11552*s**2 - 3*s + 34061?\nAnswer: -23104*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -40. Let b be x\/(-36)*-266 + 4\/6. Let n = b + -42. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 102*i**2 - 9*i.\nAnswer: 102*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 1, m: 3, x: 1}. Give prob of picking 1 u and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1263\/(-618) + 2)*(-75)\/9 and -71\/14.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 0 + 0)*-47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 75010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 715769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 = 2. Let q(x) = 3 - 5 + 4 - 4*x**3 - x - w*x**2. Is 9 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(104)*2*-3 - sqrt(104)) + sqrt(104) - (sqrt(104) - (sqrt(104) + 1*sqrt(104)*1) - sqrt(104)))\/(1*sqrt(56)\/(sqrt(7) - sqrt(7)*2)))**2 + 5.\nAnswer: 40*sqrt(13) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2796 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 3011*l**4\/12 - 37*l**3\/2 + 12*l**2 + 9*l + 4. What is the first derivative of t(s) wrt s?\nAnswer: 6022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 6. Suppose -i = -5*k + 9, 0 = 4*f - 2*k - 46. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**4 + 0*p + 0*p + 0 + 0 + p**4 - 3 - p**4 + 3 + (p + 0*p - 2*p)*(0*p**3 + 2*p**3 + 0*p**3) - 3 - 3*p**4 + 5*p**4 + 0*p**4.\nAnswer: -7*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r + r**3 - 3 + 5*r**2 - 4*r**2 - 3*r - 4. Determine b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*d - 15, -3*d + 2 = w + 5. Let r = -0.8 + 0.3. What is the second smallest value in r, d, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 4 + 20. Let g be (((-480)\/(-28))\/t)\/(9\/42). Suppose 0 = -7*v + 5*v + 36. Solve -v = 5*n + s - 0*s, 3*n + g = 4*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 360608165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320064 by 3.\nAnswer: 106688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1188 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363265752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3618*a + 3591*a + 27 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 29.9. Let g = -18.9 - m. Let s = 18.21 + g. What is s rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-8)*9\/(297\/(-44)). Find r such that -2\/5*r**4 + 1\/5*r + 0 + 2\/5*r**2 - 4\/5*r**p + 3\/5*r**5 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 212 (b) -0.4 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.7 (b) 0 (c) 8 (d) 409 (e) -9 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27506732 - 18063532. What is t rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045591 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/9 in 1, 3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 3*y**2 - y + 3. Let n be r(-4). Let l be ((2 - n) + 1)\/1. What is the remainder when 36 is divided by -3*(-2 + (-28)\/l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3 - 3 - 2*l + l + 0*l + (0*l + 2*l - 4*l)*(-3 + 2 - 1))*(4 - 1 - 5).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 19 = 2*o, o + 2*a - 6 = 3. Let d = -11 + o. Let y be (10\/d)\/((-2)\/(-4)). Sort y, -3, 1 in decreasing order.\nAnswer: 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.095 + 10.9677162.\nAnswer: 10.8727162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.24516 decades in years?\nAnswer: 542.4516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 176 = 6*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -116, -161, -222, -305?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 j, and 1 h when four letters picked without replacement from hujujp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 17. Suppose 2*j - 3*z = 90, g*z + 2*z = j - 35. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7849227.\nAnswer: 3, 29, 83, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1090 - 3272\/3. What is the nearest to 0.1 in n, -0.05, -7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 + -73. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24265086 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105598897\/512 + 206248. Calculate the common denominator of p and 33\/128.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 58638*m + 234541. Determine q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154 - -78)\/228*(-42)\/(-6).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 162?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmffmmpcfcc. What is prob of picking 1 c and 1 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12221, -24449, -36679, -48911, -61145, -73381?\nAnswer: -85619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 + (56 - 35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32869171 is divided by 16434580?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*g + 32, 5*t - 44 = 4*g + 36. Suppose -5*u + a = 4, 4*a = -0*a + t. Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -339, -376, -449, -570, -751, -1004, -1341?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = -0*a, -w - 5*a = 20. Suppose 4*x - 358 = v, 0 = -w*x - v + 253 + 199. Suppose -5*m - 2*z + 453 = 0, m + 2*z - x = z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i**4 + 2*i)*(-2 + 0 + 1) + 2*i**4 + i**4 + 0*i**4 + 3*i**4 - 3*i**3 + i**3 - i**4.\nAnswer: 3*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-62)\/248*24\/(-5). Factor s*a + 0 - 2\/5*a**2.\nAnswer: -2*a*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -131. Let l = d - -106.9999925. What is l rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -17 + (-12 - -20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 2. Let n(s) = s**2 + 4*s + 2. Let b be n(-4). Let r be j(b). Factor -11*i + 7*i + 4 - 3*i**2 + 0*i**r + i**4 + 2*i**3.\nAnswer: (i - 1)**2*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 10*q + 17. Determine d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -l + 34, -5*l + 5*z + 175 = z. What is the highest common factor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21037375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:08 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -278611 (base 15) to base 16\nAnswer: -1d03b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sskksskkkkkskskskkk. What is prob of sequence kkk?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*a**2 + 3*a - 969 wrt a?\nAnswer: 28*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/(-14) + 512\/56 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 642*i + 1984 - 1984 to q + c*i and give c.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**4 + 9*c**3 + 27*c - 9. Let l(p) = 3*p**4 - 4*p**3 - 13*p + 4. Let s(z) = 4*b(z) + 9*l(z). Find the second derivative of s(d) wrt d.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 787400 and 15500.\nAnswer: 3937000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3210123232 (base 4) to base 2.\nAnswer: 11100100011011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*c + 8 - 12 = 0, 2*c = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7*s**2 - 9 + 1.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.3, -0.3519, -1\/2, 4, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l**6*l))*l*l)**33\/(l*(l**(-1\/8)\/l)\/l*l**(-2\/19)*l) assuming l is positive.\nAnswer: l**(40163\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*q = -q + 2, 3*u + 2*q = 10. Suppose -5*x - 2*y - 3 = -y, u*x + y = 0. Let r(g) = g**2 + g - 1. Determine r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*189\/168)\/(-39).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140488 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -788993005.\nAnswer: -788993004.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 33 - 103 = 0. List the prime factors of (4 - -1249)\/j + 2\/2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**6\/120 + d**5\/60 + d**4\/12 + 161*d**3\/3 - 78. Let a(o) be the third derivative of k(o). Calculate a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7 + 2*o + 10*o**2 + 6*o - 2*o**3 + 3*o**3. Calculate the smallest common multiple of y(-9) and (-4)\/((-8)\/30) - 1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 21. Let u = 39 - 104. Let y be (-4)\/(-26) - 120\/u. Solve 3*t = 6 - p, -t - 2 = y*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + -10 - -15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q**(2\/3)\/q))*q*q)*q)**(-3\/31)\/((q**(-3\/2)*q)\/q*((q*q*q**(2\/7)*q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-355\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -613 + 669. Which is smaller: 54 or v?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b**2 - 4*b + 1. Let x(c) = -11*c**2 + 5*c - 1. Let m be -1 - (7 + (-1 - (-6 + 4 + 7))). Determine m*x(k) - 3*p(k).\nAnswer: -11*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11816086*-15\nAnswer: -177241290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-2772)\/(-154))\/(2*(-6 + 1))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**3 + 17*g**2. Let u(z) = -3*z**3 + 9*z**2. Give 7*u(w) - 4*y(w).\nAnswer: -w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4392*j = -4*k - 4395*j - 14, -j + 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14466 * 1.418\nAnswer: -20512.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1365.1 + 0.96.\nAnswer: -1364.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 + 2*u - 2*u + 42*u**3.\nAnswer: 51*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5586575208647 minus 1.13?\nAnswer: -5586575208648.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 - (-325 - -129) - (-1 + -41).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -255644 (base 8) to base 4\nAnswer: -111232210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 419765 and 93029.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:38 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 14*i. Let b(c) = -c. Let t(l) = -14*b(l) - 2*g(l). Factor t(x).\nAnswer: -2*x*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27930, -27928, -27926, -27924, -27922?\nAnswer: -27920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 + 4 - 7 - 233*u**3.\nAnswer: -233*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 12. Suppose 3*v + 16 = -4*w, -10*v = -12*v - 3*w - 11. Let t(l) = -l - 11. Determine v*x(n) - 5*t(n).\nAnswer: n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 229?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 3.49\nAnswer: 1.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 35. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**2 + 288*g**2 + 258*g**2.\nAnswer: 525*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4275 and 342.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*b, -i - 3 = i - 5*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**2 - 3. Let k(b) = -7*b**2 - 3. Let v(z) = 7*z + 48. Let h be v(-6). Let d(g) = h*k(g) - 5*o(g). Let x(q) = 7*q**2 + 8. Give -8*d(n) - 3*x(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q**5)*q)\/(q*q*q*(q**(9\/4)\/q)\/q*q*q))**5*(((q*q**(-6)*q)\/q)\/q)\/q*q**(3\/5)*q**(-6)*q*q*q*((((q**(3\/2)\/q)\/q)\/q)\/q)\/q*q assuming q is positive.\nAnswer: q**(-1063\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -14232.\nAnswer: 23\/7116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-47)*(a\/a**(5\/6))\/a**(-4\/7) assuming a is positive.\nAnswer: a**(2005\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3253 + -16089. Let c = d + 3936. What is c rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -127\/229823?\nAnswer: -127\/229823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (17\/(-85))\/(8\/280)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.01 (c) -3\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)\/v)\/v)**(1\/8)\/(v**(-2))**24 assuming v is positive.\nAnswer: v**(143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584481.\nAnswer: 3, 194827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -3*h**4\/8 + 3*h**3\/2 - 13*h**2. Let q be v(-4). Suppose -22*o + 21*o + q = 0. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-6)\/(-10))\/1. Let t = -1.8 - 0.2. Let i be (16\/(-704)*-55)\/((-2)\/(-8)). What is the closest to w in 0.4, i, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:05 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101\/7 - 195\/14. Let g(h) be the second derivative of -1\/20*h**5 - u*h**2 + 1\/6*h**3 + 0 - 4*h + 1\/12*h**4. Solve g(v) = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(272) - (sqrt(17) + sqrt(17) + 1 + -1).\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 3*q**3 - 2*q**2 - 2*q + 3*q**3 - 3*q**3 - 4*q**3 + q**2 - 2*q**3 - q**2 + (4*q**3 - 6*q**3 + 0*q**3)*(-2 + 4 - 1).\nAnswer: -5*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320012900.\nAnswer: 2, 5, 3200129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((3192\/126)\/38)*(-33)\/(-9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48942325, -97884640, -146826953, -195769264, -244711573, -293653880?\nAnswer: -342596185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 5*y - 3*h + 13, -5*y - 2*h + 16 = 0. Let u be y\/(1\/(2 - 4\/(-8))). Solve -4*d + 25 = -3*i, -u*d + 11 + 15 = -2*i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 - 321 - (-7 + 13 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.532 and -18.\nAnswer: -27.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -494 or 1\/2?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + k**2 + k**2 + (2*k**2 - 2*k**2 - 2*k**2)*(-1 + 3 - 3) + 0*k + 0*k - k**2 - 7*k**2 + 5*k**2 - 26*k**2.\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 13) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -141, -176, -171, -114?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2\/3 (b) 2 (c) -4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.88 + -75.88. Which is greater: f or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 61. Let m(r) = 15*r**2 - 10*r - 11. Does 10 divide m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1, -15, -2, -1\/10, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4270*g - 6. Let v(x) = 21337*x - 32. Give -11*b(w) + 2*v(w).\nAnswer: -4296*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1856 and -105\/1234472?\nAnswer: 9875776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(-7*g + 17 - 17)*(-30 + 16 + 3).\nAnswer: -154*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60322416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97921\/195 + 502. Let j = g - -6\/65. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157945973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1\/3, 7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.8 + 74. Let v = 0.3 - d. Which is the third biggest value? (a) -0.4 (b) 1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -5, -8, -13?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/4 - 20*c**2 + 11595*c\/4 - 16965\/2.\nAnswer: -5*(c - 39)*(c - 3)*(c + 58)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -278d890b + 0?\nAnswer: -278d890b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from oggpjptkjkpjgkjgj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 139198922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73.162 or 13?\nAnswer: 73.162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(42)\/(sqrt(30)\/sqrt(5)))*-6.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*q - 15, -4*h - 2*q + 25 = -q. Suppose 54 = h*p + 2*i, 3*p - 12 = i + 27. What is the tens digit of (-256)\/(p\/(-3)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22269 - 22269 + 28*b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 6*f**2 + 115*f - 93. Let d be c(-9). Solve -d = -3*j + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7)**(2\/3) assuming l is positive.\nAnswer: l**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (702\/150)\/((-216)\/(-3600))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285810 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1729 and 50635.\nAnswer: 354445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o. Let l(x) = -5*x**3 - 3*x**2 + 6*x + 1. Let f be 6 + 264\/60 + (-3)\/(-5). Suppose 6*y - 47 + f = 0. Give y*d(u) - l(u).\nAnswer: -u**3 + 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*q**2 + 1031*j*q - 81*q**2 - 2 wrt j.\nAnswer: q**2 + 1031*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k = 55*k + 11. Let h(v) = v - 4. Let q be h(k). Let w(u) = u**2 - 7*u + 4. Let o be w(7). Solve d + 2*r = -0*r - o, -d - 5*r = q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 164392*y + 163983*y - 19 in the form u*y + o and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/375 - -17\/3000. Let z(c) be the third derivative of -2*c**2 + 0 + 0*c + 0*c**4 + 1\/336*c**8 - i*c**6 + 0*c**3 + 0*c**7 + 0*c**5. Factor z(b).\nAnswer: b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9424)\/(-14136))\/((-6)\/(-46))*3*-3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2168090.9737 - 2167622. Let u = -469 + r. Round u to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(176) + sqrt(176) + sqrt(176)*2 + 0 + sqrt(176) + 4) + -3)**2.\nAnswer: 4400*sqrt(11) + 110484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -165878075 divided by 265?\nAnswer: -625955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212 - -205) + -11 + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.3, -1, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215 + 6. Let i = -217 + u. Which is the biggest value? (a) -0.2 (b) -19\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20513173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/66*2). Let w be (-20)\/6*(-33)\/a. Suppose w*b - 6*b - 68 = 0. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118.1 + -118.101174. Round j to five decimal places.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4325850.\nAnswer: 2, 3, 5, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 - (0 - 3) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 31*a + 149. Let c be v(-6). What is the closest to 5.7 in -0.2, 0.2, c, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2 + 11*f - 3. Let d be g(5). What is the second derivative of z**4 + 6*z**4 - 16*z**d - z**4 + 28*z + 21*z**2 wrt z?\nAnswer: 72*z**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 2*a + 3, -1 + 0 = -l + 3*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a + 6. Let h(c) be the third derivative of -5*c**4\/24 + c**3\/3 - 4*c**2 + 40. Determine 5*b(y) - 16*h(y).\nAnswer: 10*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5893 * -0.05.\nAnswer: 294.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202291 is divided by 3377?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let z(n) = 79*n**2. Determine z(i(f)).\nAnswer: 316*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22883 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47067645 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*d + 10, 0 + 8 = -w - 4*d. Let y be w*(3\/2)\/3. Are 1\/11 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8592b (base 12) in base 13?\nAnswer: -12b703b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 10, -4, -18, -1, 16 in increasing order.\nAnswer: -18, -4, -1, 3, 5, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1 - (-4)\/2. Suppose r - l*q = 11, 3*r + r + 5*q = -7. Suppose r*u = 14 + 6. Solve -35 = 4*z + 5*c, -4*c = -z + u - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6420 and 1070.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-66201*g - 240 + 132426*g - 66370*g) in the form r + f*g and give f.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**(-1\/8))*n*n))**(23\/4)\/(n*n*n*n**27*n*n**(-6)) assuming n is positive.\nAnswer: n**(-961\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1332, -1091, -512, 573, 2332, 4933, 8544, 13333?\nAnswer: 19468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11955177\/468 + 45\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13988066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let t be (-22)\/(-4) + 2\/(-4). Let o be 2 + 0 + (-2)\/(-2). Solve w - 2*u + x*u = -5, -w - t = o*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91 + 0*o + 2*o + 122*o**2 + 91 to r*o**2 + d + c*o and give r.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + -3 + sqrt(1539)*-1 + sqrt(1539) + sqrt(1539))*-1 + 3)**2*-1.\nAnswer: -1548 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 45710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 67*x**2 + 133*x - 265. Give n(65).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f - 1. Let k be p(1). Suppose 4*q - 11 = -3. Suppose 5*r - o - q - 1 = 0, -2*r + o = 0. Calculate the highest common factor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1121 + -4330413?\nAnswer: -4325252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(-5)))**(10\/9)\/(w**(10\/7)\/w**(2\/27)) assuming w is positive.\nAnswer: w**(584\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*u - 40, -58 = 4*v - u - 27. Let x(k) = -3*k**2 - 15*k - 4. Calculate x(v).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/7 + 18*b**4\/7 + 124*b**3\/7 + 408*b**2\/7 + 640*b\/7 + 384\/7 = 0. What is b?\nAnswer: -6, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:28 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 3. Let z be v(-5). Suppose z*a - 69 + 6 = 3*c, -4*a = 4*c - 136. Suppose 1067 = 26*r + 235. Is r <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxzzfztzft. Give prob of picking 2 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*m**3 + 739*m - 739*m + (-96*m - 130*m + 3*m)*(0*m**2 + 3*m**2 - 5*m**2) as i*m**2 + b*m**3 + k*m + c and give b.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/3 + w**3\/3 + 229*w**2 + 161*w. Find the first derivative of j(v) wrt v.\nAnswer: -8*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 154*z**2 + 8*z + 18. Let p be s(-8). Suppose 30*n = 12*n + p. What are the prime factors of n?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(7 - 2 - (25 - (-26 - -39)))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2536 is divided by 312?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.5 - -7. Let w = 14.3 - 632.3. Let o = w + 615. Put -5\/7, o, z in increasing order.\nAnswer: o, -5\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) + sqrt(76)*3))\/sqrt(4)*-1 - ((-2 + (sqrt(190)\/(sqrt(30)\/sqrt(3)) - sqrt(19)))**2 + -5).\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 + 6*y + 24. Suppose -40 = 98*s - 93*s. Let k be f(s). Suppose -114 = -x - 3*b, -2*x - 2*x + 4*b + k = 0. 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: Suppose -3*u + 1411 = -0*u + 4*d, -1864 = -4*u - d. What are the prime factors of u?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 936.3 + -935.8. Sort -0.5, 93, -0.2, g in ascending order.\nAnswer: -0.5, -0.2, g, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 34*l - 34*l + 2)*(0*l - 18 - 2*l + 19).\nAnswer: -6*l**3 + 3*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (22\/(-3))\/((-2)\/3) and (102\/119)\/((-6)\/(-28))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1562, 1560, 1556, 1550, 1542, 1532, 1520?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159 + 4?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - a = -12, 2*x + 594*a - 21 = 595*a for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*v**3 + 2571*v**2 + 272956.\nAnswer: 165*v**2 + 5142*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19417595 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8683, -1, -21\/5 in increasing order.\nAnswer: -8683, -21\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/6)\/(f\/(f*f**(-5)*f)*f))\/(f\/(f\/((f*f*f**(-5))\/f*f))*f*f*f\/(f\/((f\/(f**(-2\/5)*f))\/f)*f)) assuming f is positive.\nAnswer: f**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35081091 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 383.9 - 401. Let k = 18 + m. Suppose -2*l + 3*l = -3*j, -3*l = -2*j. Sort -3, k, j.\nAnswer: -3, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b. Let z(r) = 1. Let n(i) = -3*i - 5. Let u(l) = -n(l) - 5*z(l). Calculate f(u(q)).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 29. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095542761 rounded to seven dps?\nAnswer: -0.0000955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + 2*j**2 + 6*j. Let w = 2 - 1. Let q(t) = t**3 + t**2 + t. What is w*n(x) - 4*q(x)?\nAnswer: -x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520 divided by 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 16 - 32)*(37*k - 37*k + 4*k**2) + (2*k + 4 - 4)*(-k - k + 0*k) + 2*k**2 - 4 + 4 + 4*k**2 - 7*k**2 - k**2 + (-3*k**2 + 3*k - 3*k)*(-5 + 2 + 4).\nAnswer: -133*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 5)*(-l**2 + 0*l**2 + 2*l**2).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(2 - (2 - -1)). Let t = 14 - y. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.012, -0.3, 2\/3, 0.15 in decreasing order.\nAnswer: 2\/3, 0.15, -0.012, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (3 + -3395)\/(-2). Suppose l - 284 = -3*b, 298 = -5*l - 3*b + z. Round l to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**5 - f**3 + f**3)*(-388 - 111 + 98).\nAnswer: 802*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -192*n + 128. What is l(3)?\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64066 times 6?\nAnswer: 384396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -42. Let y(c) = 2*c**3 - c**2 - 2*c + 2. Let o be y(n). Calculate the highest common divisor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539*k = -531*k - 13544. Let u = -657 + k. List the prime factors of u.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 1:53 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 + s - 5. Let d be t(0). Let n be d - -3 - (-12)\/2. What is the second derivative of -21*l**4 + n*l**4 + 7*l + 12*l**4 wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001843 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.3044305 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2. Let g(s) be the first derivative of -7*s**3\/3 + 64. Calculate y(g(u)).\nAnswer: 147*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171155\/205386*(-6)\/55.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 42 + 36. Find the third derivative of -7*j**2 + b*j**2 - 6*j + 8*j**2 + 19*j + 150*j**5 wrt j.\nAnswer: 9000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 9*j. Let r be s(8). Let z = r - 14. List the prime factors of 4\/z + 708\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22202 - 0?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 707.998662 + -708. What is p rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**5 + z**5 - 4*z**5 + (0 + 2*z**4 + 0)*(0*z + z + 0*z).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 3*q = -2*q + 19 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.07, -476, 3\/214, 1\/11 in increasing order.\nAnswer: -476, -3, 3\/214, 0.07, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c = -19*c + 66 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -2409, -6240, -11603, -18498?\nAnswer: -26925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 249964 (base 12) to base 7\nAnswer: 5036035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*k - 19 - 37. Sort k, 0, -36 in decreasing order.\nAnswer: 0, k, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-3)\/18). Let b = 281 + -329. Let y = j - b. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2 + 0*x + 3*x + 0*x + 2075*x**2 - 2*x. Let o be n(2). What is o rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/30 - 3*d**2. Let t(h) = -h - 2*h + 0*h. Calculate t(l(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/214 and 53\/644.\nAnswer: 68908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let g be 34 + -35 + 742\/2. Let r = g + -366. What is h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -2. Let l = 3245.83 - 3246.53. What is the fourth smallest value in -3\/7, u, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185163 and 62?\nAnswer: 370326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.68575 centuries in years?\nAnswer: 1468.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s**2 - s. Let k be r(2). Let x be (8\/k - 0)\/(-2). Let d = 113 + x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8153.946 centuries in years?\nAnswer: 815394.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.04 - -63.24. Let h = 0.25 - -0.05. Sort h, -5, 0.7, y in increasing order.\nAnswer: -5, y, h, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 13085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1911437029.\nAnswer: 31, 701, 87959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 120, 150, 178, 204, 228, 250, 270?\n\"Answer: -j**2 + 33*j + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -81. Is (-9)\/p*6*40\/(-45) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 4, 20.\nAnswer: -4, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - y + 1 - 2)*(y - 4*y + y) to d + g*y**2 + u*y and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -102*d - 16. Let p(m) = 51*m + 10. Let n(i) = 4*h(i) + 7*p(i). Let j be n(0). Let y(r) = -2*r**2 + 5*r + 7. Calculate y(j).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgmgjrgmgrrrag. What is prob of sequence jmag?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 46. Suppose -5*v = 2*l - 30, -5*v + 2*l + 10 + h = 0. Let z(a) = -a**2. Let b(y) = y**3 + 6*y**2 - 2*y + 2. Give v*z(q) + b(q).\nAnswer: q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282737 is divided by 219?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000878745 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/(-48)*3\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2ab223 + 20?\nAnswer: 2ab243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 8*v**2 + 2*v + 11. Let x be h(-8). Let o(g) = 5*g + 1 - 3*g - 2 - 1. Let z(j) = -18*j + 20*j + 4 - 6. Determine x*z(p) + 6*o(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrrrlddl. Give prob of picking 2 l and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 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: Collect the terms in 0*d - d - 108*d**2 + d.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -24*u**2 - 19 - 31*u**2 + 63*u**2 + 1 - 23*u**2. Let d(a) = a**2 + 1. Determine -18*d(f) - t(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1350 = 3*l, 3*t + l + 197 - 1007 = 0. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w - 1. Let u(f) = -2 + f - 2 + 4. Suppose 189 + 189 = 3*p. Suppose -4*g = -0*a - 5*a + p, 0 = -a + 2*g + 30. Give a*u(x) - 2*k(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132400?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2341 - -13?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153) + -2)**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145 plus 0.12856?\nAnswer: 0.27356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 13. Suppose -3*l + 1 = r. Let u be l\/3 + (2 - 1). Is -0.1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 8*p**2 - 7*p + 3. Let w be c(-7). Suppose 0 = 3*k - 5*r - w - 27, k + 3*r + 4 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eae - 2?\nAnswer: eac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 277*r - 143*r - 3 - 139*r - r**2. Let z = -26 - -21. Give o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(99))\/(3*(sqrt(9) + (sqrt(324) - sqrt(9)))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120174181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2*(0 + sqrt(320)) - sqrt(320)) + sqrt(320)))**2 + -4 + -3 + 1 + -1*(1 + sqrt(320)).\nAnswer: -8*sqrt(5) + 11513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 2*w - 2*w + (-4*w + 2*w + 0*w)*(2 - 3 + 4))*(122*w - 64*w - 71*w) to p + q*w + g*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/20*3\/(-42)*-8. Let t = -20 + 15. Which is the second smallest value? (a) t (b) o (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1402059302 to the nearest integer?\nAnswer: 37444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*sqrt(18))\/sqrt(6) + (sqrt(3)*3 - sqrt(3)) + -5 + sqrt(3))**2.\nAnswer: -128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 2, -10, -28, -52?\n\"Answer: -3*c**2 + 3*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 5*w + 0*w)*(-3 - 3*w + 3)*((-2 + 2 - 2)*(2 - 7 - 6) + 3 - 3 - 1 - 1 - 3 - 1).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - 8*p + 19 - 32*p - 5*p.\nAnswer: -64*p + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 177, 173, 167, 159, 149?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -94*w**2 - 2*w + 1. Give d(1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/7 (b) 3\/2 (c) 0 (d) -0.1 (e) 0.5 (f) -2\/405297 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -22958\nAnswer: -5\/22958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 9*h - 2 + 10*h)*(-h**2 - h**3 + h**2).\nAnswer: h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 951*l**2. Let b(o) = -1535*o. Determine b(p(h)).\nAnswer: -1459785*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**10\/40320 - w**9\/20160 + w**8\/8960 + w**7\/3360 - 7*w**4\/12 - 4*w. Let i(k) be the third derivative of z(k). Factor i(r).\nAnswer: -3*r**2*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/5 + 56*a**4\/5 - 328*a**3\/5 + 108*a**2\/5 + 270*a - 1188\/5 = 0.\nAnswer: -33, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -393*c**2 + 620*c + 328. Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(66) + 2*sqrt(66) - sqrt(66)) - sqrt(66)) + sqrt(66) + -5*1*sqrt(66))\/(3*1*sqrt(150)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 3, 21.5, 15.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -2.01. Let k be (19 - 21) + 14\/4. Which is the closest to 1\/2? (a) t (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t**2 + t**2 - 2 + t**2 wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.272 + -117.\nAnswer: -118.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -2*f + 2, 15 = 3*f + 2*n. Let z(m) = 2*m + 3*m - f*m - m. Let b be z(0). What is the nearest to 0 in 3, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*r**3 + 2 - 84*r**3 - 338*r**3 + 39*r**3 in the form u*r + t + x*r**2 + v*r**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose -h + 5*h - 8 = r. Suppose -5 = -h*v + 3. Solve 1 = -q, 7 + 1 = v*g + 4*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4133242, -4133240, -4133238?\n\"Answer: 2*b - 4133244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -142754.5\nAnswer: -142700.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993454641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15968 is divided by 3900?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49748?\nAnswer: 2, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 374 + -275. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4064327*m + 3696*m**2 - 4064327*m + 1510*m**2 as o*m + g + s*m**2 and give s.\nAnswer: 5206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 87.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 336800 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 1725.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((70\/(-6))\/(-5))\/(3\/9). Let f = x - -12. Let o(q) = 29*q - f*q - 12*q. Let c(k) = -19*k**2. What is c(o(t))?\nAnswer: -76*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -1224\nAnswer: 1223.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8429558*r**2*w**4 + 3*r**2 - 47597*r wrt w?\nAnswer: -33718232*r**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 6, x: 1, s: 4}. Give prob of sequence sq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f - 305. Let b = -37 - f. Suppose -29*w = -14*w - 240. Calculate the greatest common factor of w and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 4, p: 4, n: 1}. Give prob of sequence wpw.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -55\/7*x**7 - 206\/3*x**3 + 1\/4*x**4 + 0*x + 0*x**6 - 5 + 0*x**5 + 0*x**2. What is the third derivative of t(z) wrt z?\nAnswer: -6600*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 49 + 70 - 661 = 0 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -139215499\nAnswer: -139215491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 878?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100413 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxmxxxxxmmxx. Give prob of sequence mmxm.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5)*70\/84. Let c = 8 + -8. Find y such that n*y**3 + 0*y - 1\/3*y**5 - 1\/3*y**2 + c + 1\/3*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*z + 66*z**2 - 199*z - 486*z**2 + 395*z**2.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8271 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezvhzheezeheeezzvh. Give prob of picking 4 h.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1)\/14*3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 11908 = 3822. What is the second derivative of 67*i**2 - 62*i**2 - a*i - 29*i**3 + 7*i**3 wrt i?\nAnswer: -132*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3 + 31500*h**2 - 2376897*h + 2345400 = 0.\nAnswer: 1, 75, 10424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3577 * 6409.5\nAnswer: -22926781.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 10*v**2 + 20*v - 8. Let k be o(-11). Let s = -102 - k. Calculate the greatest common factor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*z - d, 2189*z - 2189*z + 4*d - 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-2) + (2 - 5). Solve -4*j + r = -10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-36))\/13 - 6\/72*-3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 1\/6 (b) -140 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrtt when four letters picked without replacement from {t: 10, r: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 296*n + 650*n - 354*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -258*n - 269 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = -185. Let h be -4 + -3 + -4 + m. What is the greatest common factor of h and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8606267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7\/4)*z**(3\/5)*z)\/(z**(-3\/8)\/((z\/z**(-3))\/z)))**(-1\/40) assuming z is positive.\nAnswer: z**(-129\/1600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 636 divided by -4\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/30)\/(1410\/(-47)). Is f not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-276))\/((-385)\/(-2310)). What is the biggest value in y, 2\/3, -229?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 12 = -38*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178673405 to the power of 1\/2, to the nearest integer?\nAnswer: 13367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 506572.\nAnswer: 2532860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 877473227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -635.4603 + 636.7603164. Let t = r + -1.3. Round t to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609547769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/67)\/(s\/(s*(((s**(-3\/5)*s)\/s*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-546\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = x - 8 - 12, -x + 24 = 4*r. What is the remainder when x is divided by (45\/2)\/5*(-10)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Solve n*a = 3*c + 5, -c - c = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1000703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 2*r - 2. Let f = 4 + -6. Let o(a) = a - 1. Let b(j) = f*o(j) + l(j). Let h(s) = s - s + 2*s**2. What is b(h(g))?\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.446 rounded to 1 decimal place?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 3*s**2 - 2*s**2 + (-7*s + 2*s + 4*s)*(3*s - s + 0*s) + s - 2*s**2 - s + 2 - s + 2*s**2 - 3*s**2 - s to d*s**2 + v + h*s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5455 is divided by 113?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 9, -17 = -s - 2*d - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -140 (b) -3710 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 take away 206307487041?\nAnswer: -206307487040.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155563 + 155564. Let u(r) be the first derivative of 2*r**3\/3 - r**2 + 3*r - 1. Determine u(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261341066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -14*d - 60. Let v(q) = -q**2 + 4*q - 4. Let z be v(3). Let n = z - d. Solve 4*w - 8 = -n*y, w = 3*y - w - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.179 + 20.121. Let r = 19.356 - d. Let w = 0.084 + r. Round w to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11970092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -375?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 + 5*s**2 + s**3 - 36 + s**4 + s**2 - 3*s**2 in the form k + u*s**3 + l*s**2 + t*s**4 + n*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2170 divided by -2170.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i + 19424 = 52*i. Let c = i + -1558. Does 58 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -3008, -6769, -12036, -18809?\nAnswer: -27088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 3.3 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*a**2 - 119 + 119 + (-3*a**2 + 0*a**2 + 2*a**2)*(1 + 3 - 2) + 274*a - 274*a - 22*a**2.\nAnswer: -47*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-38 - -2084)\/(-66)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 163*s + 5 - 14*s - 1.\nAnswer: -177*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*s = h + 3, -4*h - s = -6. Let i = 3 + h. Suppose i*u = 7*u - 3. Solve -4*f = u - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 205 = -168 + 443. Let k(t) = -24*t + 1. Calculate the remainder when k(-1) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2084422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/60 - f**4\/6 + f**3\/3 - f**2. Let c be d(4). Let q(b) = 4 - 2*b + 2*b**2 - b**c - 5. What is q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6 - 3. Let o(g) = -3*g - 18. Let r be o(-9). Suppose r = 2*x + 3. Solve -c*b = 5*j - 4, x*j - j - 5*b = 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130040 - 4322?\nAnswer: 120213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17745 and 5070.\nAnswer: 35490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*s - 60 = -4*o - 224*s + 439*s, 6*o - 18*o + 44 = 4*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0 (b) 5 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384318166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 8, -3*s + 18 = u. Let h be 10\/u*(-4)\/30. Suppose -7 = -3*k + 2*d, 0 = 3*k - 3*d - 2*d - 13. Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/8*i + 35\/4 - 5\/4*i**2 - 1\/8*i**3.\nAnswer: -(i - 2)*(i + 5)*(i + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 17*a**2 + 4. Let o(v) = -9*v**2 - 2. Let n(k) = 2*k + 17. Let j be n(0). Suppose -7 = 4*z + j. What is z*f(x) - 11*o(x)?\nAnswer: -3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*105\/40*84\/(-9). Let o = -47 + r. Let y(a) = -a**2 + 3*a + o*a - 5*a. Let s(t) = -4*t - 2. Give y(s(j)).\nAnswer: -16*j**2 - 16*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011583 rounded to four dps?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/246 and -27\/410.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 1402, 3299, 5966, 9409, 13634, 18647?\nAnswer: 24454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/10 + 13 + (-17071080)\/(-150) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -797?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2577*g = 2591*g + 266 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1877321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137 + 137 - 26*z to the form d + m*z and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11187800 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -19*l + 499. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154.6464895 + 678366562.3535105. Let b = 678367020.999839 - j. Let p = b + -304. What is p rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trzyllrlrlur. What is prob of picking 1 l, 1 y, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 7*d - 12. Let n(b) = -b**3 - 13*b**2 + 10*b - 45. Let i be n(-14). Suppose -2*f - i = 7. Calculate z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 + -4661a1?\nAnswer: -46615f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 174206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11300 + -4?\nAnswer: -11304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-4 + 0 - -6) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388643 + -7 - (-1 - (-1)\/(-2)*8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 54*w**2 + 12*w - 5. Let d(v) = -27*v**2 - 6*v + 3. Suppose 3*t = -0*t - 9. Let x(k) = t*i(k) - 5*d(k). Factor x(c).\nAnswer: -3*c*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1207108, -1207173, -1207234, -1207291, -1207344, -1207393, -1207438?\nAnswer: -1207479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*g = 288, 6*u + 5*g - 11 + 63 = 7*u for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*x**4\/2 + 213*x**3\/2 - 1897*x**2 + 3918*x + 10764 = 0. Calculate x.\nAnswer: -23, -26\/17, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1473 + 1479. Let s be ((-4)\/3 - -2)*3. Suppose 0 = -u*w - s*w + 1952. Is w a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36950.22 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4844 and 9436?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22846287 by -7615429.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:18 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 119, 181, 237, 287?\n\"Answer: -3*h**2 + 71*h + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 378*m**3 - 11*m**2 - 1 - 752*m**3 + 369*m**3 - 2*m to the form i + v*m**3 + n*m + u*m**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216144915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21232 divided by -8\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*b + 686 + 1556 - 3222 = 0 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfer when four letters picked without replacement from jjjfeeejrejjje.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 97 (base 15) to base 8\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 131790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 96*q + 418. Let r(i) = -i**2 - 47*i + 206. Let g(a) = -3*l(a) + 7*r(a). Calculate g(-45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270041.\nAnswer: 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1543573, -3087187, -4630801, -6174415?\nAnswer: -7718029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/15 and -49\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -98?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 1. Let j be 1\/(((-6)\/4)\/(-3)). Suppose a + j*a = -4*k + 4, 3*k = -a - 2. Calculate the remainder when 20 is divided by d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/60)\/(((-2973)\/(-65406))\/(4\/77))?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 + -0.06. Which is the closest to 0.2? (a) 3\/5 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22638 divided by 130\nAnswer: 11319\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5\/576, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 5, e: 4}. What is prob of picking 1 e and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/4 - y**3\/3 + y**2 - 2*y - 4. Let g be f(2). Suppose 8 = -g*v + 128. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8. Suppose 3*p + 29 = 5*u, q = u - 5*p - 11 - 8. What is the derivative of 2*d - d - 3*d + 3*d + u wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jssjjjsjsjssjjjsssj. Give prob of picking 1 s and 1 j.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, t: 7}. Give prob of sequence wwt.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50299874 is divided by 7185690?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/3792 and -151\/120.\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*u**5 - 5614*u**3 + 62*u + 1875.\nAnswer: 1140*u**3 - 33684*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 535 - 629.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 20025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 7 = 5*y - 27, -5*y = -3*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**3 + q**2 - 20*q. Let h(p) = 5*p**3 - 7*p. Give -7*h(z) + 2*i(z).\nAnswer: -3*z**3 + 2*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76900*f**3 + 2 - 107 - 76905*f**3.\nAnswer: -5*f**3 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-16)\/12) - 3. Factor h*p + 2\/3*p**2 + 0 + 3*p**3.\nAnswer: p**2*(9*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*d + 9, 4*s - 2*d + 2 - 16 = 0. Suppose -3*f + 5*f - h = 2114, 4204 = s*f + 4*h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1772754383.\nAnswer: -1772754382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + -5.1. Round j to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2088904166 to the nearest integer?\nAnswer: 45705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 50325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*sqrt(1620))**2 + -4 + (sqrt(720)*5)**2.\nAnswer: -576*sqrt(5) + 43932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 2*h - 274. Let i = h + 683\/5. Which is the third smallest value? (a) -1\/3 (b) -4 (c) i (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + a = -21, 2*a + 3*a = -2*h + 5. Differentiate 3 - 5*r**2 - 5*r**2 + 8*r**2 - h with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 3 - -10) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2052 * 3\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 16) to base 14\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 3*i = 23*z - 20 + 7, 0 = -2*z - 5*i + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -274*i. Let k(c) = -535*c**2 + 33*c. Determine m(k(o)).\nAnswer: 146590*o**2 - 9042*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -20 + 16 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -0.2 (c) -2\/75 (d) -8 (e) -4 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 4*g + 2*g + 0*g + g - 2*g + (-2*g + 4*g - 3*g)*(-2 + 2 - 2))*(-95*g**2 - 1260*g + 644*g + 617*g) as d*g + z*g**3 + y + p*g**2 and give z.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 187200 and 23400?\nAnswer: 187200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100756000 rounded to the nearest one million?\nAnswer: 2101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 3*sqrt(833) + -1 + sqrt(833) + (sqrt(833) + -1 + sqrt(833))*2 + ((sqrt(833) + 2)*-1 + -5 + -1 + sqrt(833))**2.\nAnswer: 61 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-3)*3\/9. Suppose k*j - 47 = 3. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 9*g + 8. Let f = -74 - -74. Suppose f = 5*a + t - 41, -2*t + 5*t = -4*a + 35. Determine y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/4)\/((-33)\/(-88)). Solve 6*y + n = -28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87.34*44.\nAnswer: -3842.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**5 + 3272*x**3 + 2*x**2 + 11704*x wrt x?\nAnswer: -40*x**3 + 19632*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 71?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79443, 79154, 78865, 78576, 78287, 77998?\nAnswer: 77709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 314467590 a multiple of 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2817 and 12.\nAnswer: 11268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1123843864 by 280960966.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 53*u**3 - 6*u**2 + 5*u - 2. Let n be h(3). What is n rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 12946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from wnpwemwtmee.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26040 is divided by 2003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 26 = -3*y + 2*g, -g = 3*y - 43. Let s be (8\/y)\/(2\/(-20)). Let t(p) = -p**2 - 5*p + 7. What is the units digit of t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.28, -3, 38.5?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*b**2 + 349*b*n**2 + b*n + 16*n**2 - 4982*n wrt b?\nAnswer: 118*b + 349*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 375915 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let r(q) = 1235295*q. Determine r(m(v)).\nAnswer: -2470590*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*(-5496)\/(-2290)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 + 22 = 0. Suppose m = 4*t - 49. Calculate the greatest common factor of 70 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195506676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257817103*w**2 + 33600*w + 1410 wrt w?\nAnswer: -515634206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1855 (b) 2\/9 (c) 2 (d) 2\/19 (e) 122.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -1 (b) -1\/4 (c) 0.4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 237495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/((-15)\/(-20))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 3*m - 1. Let d(z) = 3*z - 2*z**2 - 2 + 0 + 0. Let y be (-34 - -28)*(-20)\/(-40). Calculate y*d(u) + 4*r(u).\nAnswer: -2*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 10925203*n**2\/5 - 1193601261424*n + 716159970240.\nAnswer: -(n - 1092520)**2*(5*n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 60. Calculate the remainder when (-13 + 1 - -6) + 32 + 0 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -1\/2*q**3 + 0 + q**2 + 1\/12*q**4 + 3*q. List the prime factors of d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(1007\/(-152) + 10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/(-81) - (-6680)\/180. Let x be (1 + (-10)\/(-14))*21. Suppose i*r - x*r = 2942. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248144 = 248144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*1)\/sqrt(3) - (sqrt(4050) + -1) - (2 + (-1 + sqrt(72))*6)**2)*6.\nAnswer: -15642 + 1488*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 4*m - 4. Let g be 3 - ((-5)\/(-1) + -4). Let l be c(g). Solve l = 2*h + 3*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1227 and -1491107?\nAnswer: 1489880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17 + 180\/28)*(-749)\/4. Is 1979 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2 + 148*j + 146 = 0 for j.\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 8*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1030*v + 561*v + v**3 + 469*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -6. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -10203123112122?\nAnswer: -10203123112133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 1828*r - 5 = -1831*r, 9 = 4*l + 5*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -25, 30, -4, -9 in increasing order.\nAnswer: -25, -9, -5, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a**3 - 18*a**2 + 18*a - 18. Suppose -2*f = -r + 7 + 3, 2*r - f = 8. Let p = -4 + r. Let g(l) = -l**3 + l**2 - l + 1. Give p*i(m) - 36*g(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 178*r + 3106. Let q be f(-16). Solve -2*a = -q*i + 6, -3*a - 9 = -5*i - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + a**2 - 4*a - 6. Let v be z(-1). Sort -1, v, -19, -3 in increasing order.\nAnswer: -19, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = 1, -17 = 2*x - f. Let o be -1 - (-3 + x + -1). Let s = -7 + o. Calculate the remainder when 13 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -401210 by -2.\nAnswer: 200605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1\/(4\/384). Calculate the remainder when 0\/(-2 + 4) - s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 1 - 447\/(-198) - 0 - (-210)\/(-1260). Suppose -5*g - 2 = 5*m + 8, 5*g + 10 = 2*m. Which is the closest to -0.5? (a) 3 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18453 or -18451?\nAnswer: -18451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 + 3*x + 1000. Is 50 a factor of u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - 148*n - 5. Let c(h) = 2*h + 1. Determine 5*c(m) + g(m).\nAnswer: -5*m**2 - 138*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 9 = -41 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.332539845 to two decimal places.\nAnswer: -4.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a**4 + 0*a + 1\/2*a**3 - 1\/35*a**7 - 8*a**2 + 0*a**6 + 0*a**5 + 0. What is the first derivative of k(l) wrt l?\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -9*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7857 and 3321?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8813 is divided by 4403.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389201306 to the power of 1\/3, to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 + 124. Suppose x = -q + 7. What is k in 5*k**4 - 5*k**2 - 3*k**3 - 11*k**5 + 33*k**q - 17*k**5 - 2*k**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1082 - -1080) + (1 - 1) + (-1 - (-12 + 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991744120.\nAnswer: 2, 5, 2683, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2604 + 4224. Does 70 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2161 - -1?\nAnswer: 2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6033066 nanograms?\nAnswer: 0.0000000000000006033066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 20, 6 in decreasing order.\nAnswer: 20, 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 807317\/2640 - 4889\/16. Let x = 4\/55 - k. What is the nearest to 0.1 in -0.4, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*f - 1\/5*f**3 - 2\/5 + 0*f**2 = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327102 is divided by 331774.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = -0*k - 23*k + 58 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 3*d - 17. Let k be p(-4). Which is the third smallest value? (a) 0 (b) k (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 9*k + k + 7*k to z + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/208 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzpccyzfucpy. What is prob of sequence fzy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/(-50) + 5)*((-9)\/(-6) + 0)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o + 15*o + 18*o**2 - 21*o**2. Let s(x) = -32*x - 1. What is i(s(g))?\nAnswer: -3072*g**2 - 192*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.28 + -36.7. Let n = y + 0.52. What is the nearest to n in -2, -5, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 132. Let u(d) = 3*d - 129. Determine 2*m(g) - 3*u(g).\nAnswer: -g + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11107 + 99961\/9. Which is the fourth biggest value? (a) 0 (b) w (c) 3 (d) -1.85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1663? (a) 0.112 (b) 2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 211, 126, 33, -68, -177?\n\"Answer: -4*v**2 - 73*v + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -259*a - 241. Let n(j) = 259*j + 240. Let r(i) = -6*n(i) - 7*p(i). Differentiate r(h) with respect to h.\nAnswer: 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1)\/((-1)\/13). Let u = n - -174. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7))**2 + 4 + (4 + sqrt(7)*1 + sqrt(7))**2.\nAnswer: 16*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 566.00871 to 0 dps.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/9 + 2 + 18\/(17 + -14). Factor 4\/9*y**2 + 0 + a*y - 2\/9*y**3.\nAnswer: -2*y*(y - 3)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 620382 * 32.\nAnswer: 19852224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*w - 6 = 4*w, 4*w = 3*h + 2. Suppose -15*a + 3*a + 636 = 0. Suppose 3*v + 11*l - 16*l = a, -2*l - 8 = 0. Put -4, v, h in descending order.\nAnswer: v, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.041 and 1605?\nAnswer: 1605.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3176\/(-10))\/(334\/(-1670)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367 = 4*r + 399 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 246*o - 7. Determine a(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -311\/8. Which is the nearest to -1\/4? (a) 3 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45b (base 14) to base 10\nAnswer: -865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 213 = s, 4*c = -4*s + 992 - 204. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 16) to base 5\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/17 + -9 + (-15099319)\/(-323) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhegg. What is prob of picking 1 e and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15*f**2 - 2*f + 1. Let l(x) = -x - 5. Let b be l(-6). What are the prime factors of v(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 141, -0.2, 1, -0.12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 2, l: 4, f: 8}. What is prob of picking 2 f and 1 s?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25038)\/1788 - (-9 + -6 - -1). Suppose 0 = 5*p - 5 - 0. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*y + 69*y + 2*y**3 + 177 + 41*y wrt y.\nAnswer: 6*y**2 + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 + 81. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -0.4. Let v = -0.5 + b. Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 - 206976*j**2 - 413916*j + 1655760 = 0. Calculate j.\nAnswer: -68990, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86248*1.\nAnswer: -86248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20555 is divided by 3116?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let u(g) = -g + 10. Let k be u(9). Let l(b) = 2*b - 3 + b + b**2 + k. Let n be l(-3). Determine y(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 8:14 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 469 and 3819?\nAnswer: 26733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1480, -2 in descending order.\nAnswer: 1480, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 277741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*l - 24 = 526*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/7 - 8226*m\/7 + 8212 = 0.\nAnswer: 7, 4106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 48*f - f + 14*f.\nAnswer: -2*f**2 + 61*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, -2\/3, 0.067, -1\/4, -1.8, 33?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-88)\/(-6))\/((-2)\/(-6)). Suppose -b - 8*b = -72. Suppose -b*u = -10*u + z. What is the greatest common factor of u and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-14)*((-12)\/98)\/((-265)\/(-742))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 4 = o + q, -o = 3*q + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4505, 15, 4.\nAnswer: -4505, -5, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2 - 3*q**2 + 2*q + 0*q**2 - 1 + 6*q**3. Let f = -22 + 24. What is the remainder when w(f) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1560*c**2 - 5032*c**2 - 3925*c**2 - 1203*c**2 in the form h*c + w*c**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)\/(155\/25 - 6). Let v = -12 - -11. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -927756 divided by -18.\nAnswer: 51542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15317*g - 2*b = -15351*g - 48, -24 = -g + b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3247 + -3173. Solve -47 + g = -9*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.86 + 1.66. Let o be -1*-2*(-5)\/(-60). Which is the second smallest value? (a) 0.04 (b) -3 (c) y (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 + 12*p**2 - 32*p + 2. Let a be f(4). Suppose -138 = -9*y + a. Solve y*r = 41*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 49704*s - 52 + 7 + 2 - 21. Let h be t(-34). Round h to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001010010000111011101 (base 2) to base 10\nAnswer: -2433501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 128917, 129015, 129179, 129409?\n\"Answer: 33*m**2 - m + 128885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/90 + l**4\/18 + l**2 - 3*l. Let b(d) be the first derivative of p(d). Factor b(r).\nAnswer: 2*r*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z - 10 = 0. Let k(a) = -3*a**2 + 29*a + 10. Let l be k(10). Is z less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635, -2538, -5707, -10142, -15843, -22810?\nAnswer: -31043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 244 divided by 61\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 296 + 1080 = 0. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*21\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3143 (base 10) to base 7.\nAnswer: 12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-15 + 8)) + 1 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 3. Let w be z(6). Let q(h) = w*h - 2 - 1 + 2. Let t be q(1). Solve t*p - 3 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebmqbrebbqrqrbe. Give prob of picking 1 e, 1 b, 1 m, and 1 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 74\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5416949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 10128*k - 70700.\nAnswer: -4*(k - 2525)*(k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -727, -728, -729, -730, -731, -732?\n\"Answer: -s - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 153.458 and -3.25?\nAnswer: -498.7385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.98 + 0.02. Let f = 3 + -8. Which is the third biggest value? (a) h (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 46932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5\/7 + 40072*g**4\/7 - 100440432*g**3\/7 + 57320136*g**2 - 300840588*g\/7 = 0.\nAnswer: 0, 1, 3, 5007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000) - (sqrt(3000) + sqrt(3000)*1 + sqrt(3000)) - sqrt(30))\/(-2*sqrt(294) + sqrt(294)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -11*s + 103 + 7 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 - 9*u - 7. Let k(d) = 8*d**2 - 9*d - 6. Let t(m) = -6*k(m) + 7*w(m). Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -16 - (1 - -3 - 19 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 401 - 99 = 0. Suppose 4*w + 16 = -264. Let f = u + w. Solve -4*y = -0*y - 5*i + f, -12 = 2*y - i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o**3 - 42*o**2 + 9*o - 18. Determine u(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 19 - 24)*(-3 - 1 + 0)*(0*k - k + 0*k)*(-k**3 + 2*k - 2*k).\nAnswer: 296*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 4 (c) -0.05 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251551, -251550, -251547, -251542, -251535, -251526?\nAnswer: -251515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11*(2\/10 - 16\/(-20)). Let n(u) = -21*u + 29 + q*u + 9*u. What is the units digit of n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 14*f - 12*f + 2*f + (1 - 2 + 2)*(2*f - 3*f - f) as a + w*f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 296\/5, -0.1, -2\/99.\nAnswer: -1\/2, -0.1, -2\/99, 296\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1101752 (base 14) to base 16\nAnswer: 7b297c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyual. Give prob of sequence uwa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = 3*f. Sort 1\/3, f, 0, 2 in descending order.\nAnswer: 2, 1\/3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7266 + -7264.6. Which is the closest to 1\/4? (a) 1\/2 (b) -1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 - b. Is 4 a factor of c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*o**3 + 4627095*o**2 + 25697768?\nAnswer: -12*o**2 + 9254190*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -32.025. Let v = 0.125 - l. Let x = 0.13 - 13.13. Is v at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7136 divided by 3568.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(2*sqrt(162) - sqrt(162)) + 0 + (-2*(2 + sqrt(539)))**2 + 0.\nAnswer: 1009*sqrt(11)\/9 + 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1027)\/((-2)\/480 + 0). What is a rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(-2\/3)*s*s**4*(s*s**4)\/(s*s**6*s) assuming s is positive.\nAnswer: s**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 4*n**2 - n**2)*(-n - 1 - 4*n + 0*n).\nAnswer: -10*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*0\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 5*z - 1. Let y be (3 - 3) + (-4)\/(-2). Let p be (y - 1)*3\/1. Let d be j(p). What is the third smallest value in -3, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0424 times -98\nAnswer: 4.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 3 (c) -1 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**(-6))\/r))\/r**(-6))\/(r**9\/(r*(r\/(r**(-4)\/r))\/r)) assuming r is positive.\nAnswer: r**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**5 - 105*t**4 + 175*t**3 + 1305*t**2 - 2690*t + 1320 = 0.\nAnswer: -22, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*b + 2*b - 15, -y - 7 = -2*b. Sort y, -4, 23.\nAnswer: -4, y, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.1 (c) 0.15 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13340*j - 13335*j = 4*x - 157, -2*j - 4*x - 46 = 0 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142 - -141.7. What is the nearest to 0.1 in 2\/17, l, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10122538 is divided by 9924?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h**3 + 76 - 39 - 40.\nAnswer: -42*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3937*d + 3940*d + 3*b - 14 = 4*b, 0 = 56*d + 5*b + 70 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-338)\/5 + 70\/7700*-44?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, -1, 2 in descending order.\nAnswer: 15, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1093, -3699, -8047, -14137, -21969?\n\"Answer: -871*o**2 + 7*o - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.5 (c) -2\/3 (d) 52 (e) -1.57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1707.4 and 0.1.\nAnswer: 170.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40, -41, -42?\n\"Answer: -k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Let p(r) = 2*r**3 - 3*r**2 + r + 1. Let h be p(k). Let g(s) = 2 + s**2 + 2 + h*s + 2. Give g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, 30.\nAnswer: -5, -4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.057 (c) 0.39 (d) 1\/7 (e) -0.3 (f) -0.0929\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2, 1202 in increasing order.\nAnswer: -3\/2, 2, 1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 times -497831?\nAnswer: 3932864.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 28, 36, 46, 58?\n\"Answer: p**2 + 3*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-1))*r)\/r**(-2)*(r*r**(-5))\/r**4*(r**(-7)*(r\/(r**(-1\/3)\/r))\/r)\/(r*r**1*r*r)**23 assuming r is positive.\nAnswer: r**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 184, 589, 1372, 2659, 4576?\n\"Answer: 21*o**3 + 6*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130312 + 2?\nAnswer: -130310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 0.44. Which is the third biggest value? (a) j (b) 1\/16 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1683317*a**2 - 1683317*a**2 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 8, -9020, -85, 1 in descending order.\nAnswer: 8, 4, 1, -1, -85, -9020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 9*p**2 - 1180*p - 9582. Calculate u(-8).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/142 and -47\/8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -639.73 - -639.23. Let t = 1 + -7. Which is the third smallest value? (a) t (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 11:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7 + 3 - 3 - 2 - 120*x.\nAnswer: -120*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -468 or -455?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29760 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**4 - 60*s**3 - 105*s**2 + 60*s + 108 = 0.\nAnswer: -18, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1 (c) -3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/104 and 3081\/130*3\/9?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 346 + 725203.5.\nAnswer: 725549.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/3 + 2*t**5\/5 + 14*t**3 - 4. Find the third derivative of m(j) wrt j.\nAnswer: 120*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 852.3997 years?\nAnswer: 0.8523997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*l = -24, 103*n = 106*n + 7*l - 24. Calculate the remainder when 763 + (0 - 2\/(-2)) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234321 minus -29?\nAnswer: 2234350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + (-5*(sqrt(132) + (sqrt(132)*2 - sqrt(132)) + sqrt(132))*-4)\/((sqrt(192)*-2 - sqrt(12)) + 2*sqrt(108) + sqrt(12)))**2.\nAnswer: 240*sqrt(11) + 9921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 950000 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -26*r + 296. Let s be q(11). Suppose -3*u = t + s, -4*t = 4*u - 5*u - 25. Solve 21 = -3*f - t*g, 0*f + 3*g = 2*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4485 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 451946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141192 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (5\/1 + -5)\/((-6)\/(-3)) - -36 and ((-360)\/(-21))\/(4\/28).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(5\/6))*j*j**4\/j)\/(j*j**(-1)\/j*j)**6)\/(j**(-12)*((j\/(j\/(j*j**6)))\/j)\/j)**(-7) assuming j is positive.\nAnswer: j**(-275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223519487.\nAnswer: 3, 7789, 52361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8*q + 4*t = -140, 3*t = -9. Suppose -3*u + q = -u. Let i = 45 - u. Solve -2*o + i = -5*g, 5*o = -g + 4 + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14675?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q. Let m(i) = 1277*i**2. Give m(r(z)).\nAnswer: 11493*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 426110458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 10290 = 4*a + 28*a. What is the remainder when a is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7409603 to the power of 1\/2, to the nearest integer?\nAnswer: 2722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*d**3 + 1114*d**2 - 2512*d + 360.\nAnswer: 2*(d - 2)*(d + 45)*(13*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 2. Calculate the remainder when 21 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*z = -9920, -4*z + 19339 = 4*j - 20245. Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2932 and 4.\nAnswer: -11728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**2 - 1\/20*w**5 - 1\/30*w**6 + 2 + 0*w**4 + 0*w**3 - 10*w. Find v such that j(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - 196*12\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 37969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -2\/23 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 1044*g + 6 + 9 + 1 + 3001*g to the form n + c*g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 - -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*l = -2*v + 59, -l + 161 = 3*v. Let u = v + -122. Let b = u + 170. List the prime factors of b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338060459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:58 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/3*(-12)\/16*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 16*v. Let c(r) = -r**2 + v*r**2 + 7 - 4. Let i(n) = n**2. What is i(c(h))?\nAnswer: h**4 - 6*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 1, -1050, -3 in descending order.\nAnswer: 49, 1, -3, -1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 24. Let n be -216*116\/(-29) - -18. Calculate the highest common divisor of r and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 45*k**2 + 13*k - 505. Give p(45).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 17*w - 18*w = 9, -8 = 8*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4693 - -4706.1. What is the nearest to -1\/3 in -0.5, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 6. Let a be y(8). Suppose 0 = -0*n + a*n - 4. Factor 66*i**2 - 24*i**3 - 20*i**n + 6 - 26*i - 2.\nAnswer: -2*(i - 1)*(3*i - 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/90 - (14\/18 + -1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1584 and 1232?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -30. What is the closest to -6 in a, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7030117cm to micrometers.\nAnswer: 7030.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33848263 - 22188263. Round x to the nearest one hundred thousand.\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:24 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Let s(v) = -1 + 0*v - 2 + 7*v - x*v. Let d be s(8). Sort -5, 2, d.\nAnswer: -5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 2, i: 4, z: 1, k: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3112 + -4?\nAnswer: -3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 7*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by 4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14167, 14166, 14165?\n\"Answer: -i + 14168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36389 - -36387. What is the closest to -55 in -3, -0.2, z, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/20 - m**4 + 7*m**3\/3 + 5*m**2 + 320*m. Determine d(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53817\/542 or 99?\nAnswer: 53817\/542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11512454?\nAnswer: 2, 5756227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 306*c - 36 + 66 - 36 + 225*c. What is the tens digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7713 divided by -25745?\nAnswer: -7713\/25745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 36.81\nAnswer: -11.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/29, 0.05, -0.2, 1, -4174?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2, -5, 57, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*3*sqrt(84) - sqrt(84)))\/((sqrt(972) - -2*sqrt(972)) + (-1*sqrt(96))\/sqrt(8))*5.\nAnswer: -50*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + (37 - 7) - (51 + -59)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0 - 3 + 2)*(319*m - 112*m - 3 + 2).\nAnswer: 414*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 9835533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 3*p - 2*p)*(2*p - p - 2*p) + 0*p - p**2 + 0*p + 11 - 9*p**2 - 11 + (2 - 2 - 2*p)*(-2*p - 2*p + p) as l + c*p**2 + b*p and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/93 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/8 - 283167*p**2\/8 - 20046029055*p\/8 - 20045745889\/8.\nAnswer: -(p + 1)*(p + 141583)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10915455 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 + 1737*g**2\/4 - 111024*g.\nAnswer: 3*g*(g - 192)*(g + 771)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 17*l + 52. Suppose 5*r - 6 + 1 = 4*j, -r + 22 = -5*j. Let w be f(r). Sort -28, w, -1 in increasing order.\nAnswer: -28, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**3 - 11*q**2 - q + 7. What is k(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017887881.\nAnswer: 1193, 853217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 3*s - 42. Let w be l(-6). List the prime factors of (-11)\/(90\/w - 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3\/7)\/((-22)\/(-77)). Let i = 4.5 + -5. Let g = 3 - 11. Which is the nearest to g? (a) i (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255*49\/2205*6\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + 1. Calculate b(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 21. Let u(t) = t**3 + t + 13. Let m be u(v). Suppose -m = -4*k - 1. Solve -3*o = -w + 6, k*w + 2*w - 2*o = 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176 + -217 + (33 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 11*n**5\/4 + 307*n**3\/6 + 45*n**2 + 3. Find the first derivative of y(s) wrt s.\nAnswer: 330*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11342 + -11344. Put r, 4, -517 in ascending order.\nAnswer: -517, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 5*g**2 - 7*g + 9. Let m be k(6). Let q = 3 - 0. Suppose 24 = m*a - b - 2, 0 = -q*a - 2*b + 29. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.82 - 40564.\nAnswer: -40565.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10017715.\nAnswer: 1\/2003543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -1. Let h = -0.5 + n. What is the closest to -1 in 0.4, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.86 + 0.86. Let v = -32.2450419 - 2.7549521. Let x = v - u. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/2627 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z**3 - 31*z**3 + 12*z**3)*(2*z + 2 - 2) - 4*z**4 + 4*z**4 - 2*z**4 as y*z**3 + x*z + h + a*z**2 + v*z**4 and give v.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxox when four letters picked without replacement from oxxrjixjxx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/3938 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200120 (base 3) to base 7.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 241474128*h**3 - 1400237761.\nAnswer: 724422384*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.626806s in minutes?\nAnswer: 0.4437801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, f: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -3*u. Let q be u + 1*(1 + -16). Let m = q + 20. Calculate the greatest common divisor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(65))\/sqrt(5) + (sqrt(13) - (sqrt(13) + (sqrt(13) + 2 - sqrt(13))*-4)))**2.\nAnswer: -20*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1774 and -0.02.\nAnswer: 35.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 296178608 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 14. Let t(q) = -2*q**3 - 6*q**2 + 8*q + 3. Let m be t(k). Let a be (-2)\/4 - m\/(-14). Solve -a*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 406*a**2 + 8*a + 10. Suppose 5*s - 41 = -51. Is o(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -10 (c) 0.7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 46 = 13*o, 5*o + 716 = -3*u + 678 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2413*g + 2418*g + 4 = 0, -2*d - g + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p - 410 = 4*i, -2*p = 3*i - 141. Suppose -29 = -4*g + 3*h, h + 4*h = -2*g + 47. Let s = p - g. What is the remainder when s is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(29\/((-1102)\/399)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**7\/2520 - z**4\/3 + 3*z. Let g(r) be the third derivative of n(r). Let f(v) = 1 - 1 + 2*v. Determine f(g(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 1, 11, 3, 0, 7 in increasing order.\nAnswer: -37, 0, 1, 3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152) - sqrt(152)*2))\/(sqrt(288) + -2*sqrt(288)) + sqrt(19) + 0 + -2 + 5*sqrt(684) + -3.\nAnswer: -5 + 185*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + q + 3*q**4 + (-q - 2*q + 5*q)*(3*q**3 - q**3 - 3*q**3).\nAnswer: q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 + 2. Let d be o(6). Let y = 1.7 + -1.839. Let z = y + 0.339. Which is the closest to z? (a) 0.4 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 + 15*k - 2.\nAnswer: 15*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:41 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*y**5 - 386*y**2 wrt y.\nAnswer: -9840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-13\/3))**3)**(-1\/87) assuming q is positive.\nAnswer: q**(7\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12148 - 3*a**2 + 2*a**2 + 12050 + 2*a - a**2 + 2*a**2 + a**2 + a**2 + 0*a**2 + 0*a**2 - 2 + 2*a**2 + 2 + (-1 + 1 - a)*(a + 0*a - 3*a).\nAnswer: 6*a**2 + 2*a - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-325*q**2 + 140*q**2 + 108*q**2)*(-q + 0*q + 0*q).\nAnswer: 77*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 - 8 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1 - (-41 - 2). Calculate the greatest common divisor of 66 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985854785 to the power of 1\/3, to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6920)\/2900*-5 - (-8)\/116) + 3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -50781*u**2 - 57*u - 226. Let m be y(-6). Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1476)\/615 - (-28)\/10. Which is the nearest to 2? (a) 0.3 (b) 4 (c) h (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*c - 306, 2*c = -0*f + 5*f + 296. Let v be (38\/(-3))\/((-10)\/75). Let u = f + v. Solve 3*r - 5*t - u = 0, -3*r = -4*t - 41 + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 812, 2736, 6480, 12650?\nAnswer: 21852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4792 and -39\/6589?\nAnswer: 52712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m + 1. Calculate u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -33*x - 58*x - 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1602532938 rounded to 2 dps?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 28 = 4*d, -3*d + 2*k - 4 + 14 = 0. Suppose 3*a + 10 = -4*r, -2*a + d*r = 3*r - 16. Solve 5*z = a*b - 5, -4 - 2 = -3*z + 3*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z + 126. Calculate b(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.021 and 3223?\nAnswer: 3222.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 511241 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 1 f when three letters picked without replacement from yyiyffyyyiiy?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by -5\nAnswer: -284\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 + -2. Let s = -13.5 - -4.5. Let j = s + 13. Sort u, 1\/8, j.\nAnswer: 1\/8, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 7. Let o be i(7). Let p = -3.2 + 3. Which is the closest to 4? (a) -3\/8 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/9*210\/40. What is the greatest common divisor of 32 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 72.18204 decades?\nAnswer: 0.7218204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -3)\/(0 + -1). Let j be (-90)\/(-3) + (b - -2). Is (24\/j)\/((-2)\/(-265)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1617, -3189, -4717, -6201?\nAnswer: -7641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 68. Let p = z - -12. Calculate the remainder when (-16)\/3*(-2 + -7) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txrzqtr. Give prob of picking 1 r and 1 t.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6228307.0000005 - 6228304. Let t = 0.3 + -3.3. Let r = t + p. What is r rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2658 = -535*o + 9112 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**13*u)**(-3\/26)\/(u**(-2\/27))**(-22) assuming u is positive.\nAnswer: u**(-253\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 191196 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*m - 59, -m - 4*a + 3*a + 27 = 0. Solve -5*u - m = -12*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p + 30*p**3 - 58*p**3 + p**3.\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*f = 30, 9899*h - 9894*h + 11*f = -79 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 70. Let i = -27 - n. Let a = 221 - 445\/2. What is the third smallest value in a, -5, 1, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -556.7?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 216 = 2*q + 3*d, -5*q + 3*d + 540 = 0. What is the remainder when q is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 35067984?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194286 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*sqrt(125))**2.\nAnswer: -180*sqrt(5) + 4509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 990 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 68 - 31. Suppose -9059953 = y*r + 2847047. What is r rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 17 = -1. Suppose -k*o + 176381 = -c, -3*o + 9439 = -c - 122847. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 128*l**2 + 11*l - 719. Give q(64).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1.9, -1, 322, 2\/35 in descending order.\nAnswer: 322, 2\/11, 2\/35, -1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-30))\/(1\/(-4)). Let y = 4.7 + -5. Which is the closest to 1? (a) -0.4 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 29\/3, 908, 5, 3\/4, -0.1 in descending order.\nAnswer: 908, 29\/3, 5, 3\/4, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -46 in ascending order.\nAnswer: -46, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.012\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -23\/88273 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(49)*-3)\/sqrt(7) - (sqrt(21)\/(sqrt(27)\/sqrt(9))*3)**2*-2.\nAnswer: 9*sqrt(7) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36065 + 63?\nAnswer: 36118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(612) + 3 - sqrt(612)) + -2)**2.\nAnswer: -36*sqrt(17) + 5513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 9*j + 42, -29 = -32*l + 35*l + 5*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2 + 527011*w - 1581042 = 0.\nAnswer: -527014, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(200)*-2)**2*1 - (-5 + -1 + 1 + sqrt(200))) + 3.\nAnswer: 150*sqrt(2) + 824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3b6297 (base 12) to base 11\nAnswer: -613355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*g + 4557 = 645*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -3*o**5\/10 - 19*o**4\/12 + o**3\/2 - 3191*o**2 - 894*o. Find the first derivative of v(x) wrt x.\nAnswer: -18*x**2 - 38*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, b: 4, c: 2}. Give prob of sequence cbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -118, -1, -0.628?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3207\/104 at least as big as -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlylpptltl. What is prob of sequence tpl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 165917998 divided by -268042\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2008776206520 plus 115?\nAnswer: -2008776206405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1011*m**6 - 557*m**5 + 2*m**3 + 29675113*m**2.\nAnswer: 121320*m**3 - 33420*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27035, 27564, 28093, 28622, 29151?\nAnswer: 29680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = p, 4*v = -4*p + p - 10. What is the fourth smallest value in v, 1\/3, 1\/11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x*x)**(9\/2)*(x\/x**(1\/2))**(-4\/9) assuming x is positive.\nAnswer: x**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpfhppjpxjhpphjpp. What is prob of sequence xhf?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11140 + 11143. Let f = -21 - -20.64. Let i = f + -17.64. Which is the second smallest value? (a) -0.5 (b) l (c) 0 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 8. Let g(f) = 8*f - 6. Let v(x) = 2 - 1 + x + 0. Let i(u) = g(u) - 3*v(u). What is -5*i(c) - 6*w(c)?\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:03 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128104966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31927 (base 11) in base 3?\nAnswer: -2100121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143.386 - 143.896. Let m = 0.05 + 4.95. What is the third smallest value in -0.2, 4, t, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-4 + (9 - (8 - (1 - -1))))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21653, 11, -4 in descending order.\nAnswer: 21653, 11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12307)\/(-2382))\/(1\/15). Is 0.4 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307727*q**2 - 4*q**3 - 1307727*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2324907 or -1?\nAnswer: 1\/2324907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5812?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 8. Let j be b(-7). What is the units digit of (-5 - -2) + j\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601260 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + 2 + (-10 - (5 - 9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1009\/276579 - 2\/3501. Is 1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n**3 + 17*n**2 - 17*n - 2. Let m(x) = 4*x**3 - 6*x**2 + 6*x + 1. Let d be 15\/25 - (-172)\/(-20). Let c(z) = d*m(z) - 3*o(z). Give c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 10*n + 15. Let p be t(-11). Suppose -h + 2*m = -3*m - 37, p*h = 4*m + 196. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 44 (c) 0 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/9 + 25916*h\/3 - 777880\/9.\nAnswer: 4*(h - 10)*(h + 19447)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1234*c. Let j(s) = -7*s**2. Calculate j(k(t)).\nAnswer: -10659292*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -121a62 + -4?\nAnswer: -121a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c + 0 - 1\/6*c**4 + 2*c**2 + 1\/60*c**5 + 2\/3*c**3. Find q, given that a(q) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 416638.444228.\nAnswer: -416635.444228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3059, 3009, 2971, 2951, 2955, 2989, 3059, 3171?\n\"Answer: w**3 - 57*w + 3115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvaeaenneeapepven. Give prob of sequence pav.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1947, -1956, -1979, -2022, -2091, -2192, -2331?\nAnswer: -2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + 0*b)*((-3*b**2 + 3*b**2 - b**2)*(1 + 4 - 4) - 106 + 106 + 46*b**2 + 2 - 2 + 2*b**2).\nAnswer: -141*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2282 - -2277. What is the smallest value in 43, 1, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) -4 (b) 50 (c) -1.02 (d) -3 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 173, 175, 177, 179, 181?\n\"Answer: 2*l + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 22*b**3 - 20*b**2.\nAnswer: -2*b**2*(b - 10)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - 4*p**3 + 16*p - 16.\nAnswer: (p - 2)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.27 in 0.3, -5\/3, -1, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/4335 and -43\/2754.\nAnswer: 234090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/6 + -3. Sort -2, k, -0.3, -3 in increasing order.\nAnswer: -3, -2, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39043 - 3*d**2 - 19527 - 19516 + 6*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 4. Let o(u) = -4*u**2 - 3. Let c be (-3)\/(3\/4*-2). What is c*t(f) + 3*o(f)?\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232217 (base 8) in base 3?\nAnswer: -1010122112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 + 72 + 204)*(7 + 2*g + 9 - 13).\nAnswer: 398*g + 597","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89700 and 29900.\nAnswer: 89700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = -2. Suppose -4*t = 5*d - 33, -d = -t - t - 1. Let w = t - 7. Put w, -3, p in descending order.\nAnswer: p, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2. Let k = 5 + -6. Suppose -36 = 4*u - 4*a, -16*u + 13*u - 5*a + 37 = 0. Let v(m) = -m**2. What is k*p(f) + u*v(f)?\nAnswer: f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*l**2 + 37*l**2 + 690 + 396*l**2.\nAnswer: 370*l**2 + 690","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 - 2*t. Let n(s) = -s**2 - s. Let v(x) = x - 4. Let u be v(2). Determine u*n(w) + g(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20400 and 24480?\nAnswer: 122400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 8. Suppose -28*k - 8 = -29*k. Suppose k*l = 14 - 62. What is x(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 20*x**2 - 19*x - 47. Determine w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) 0.6 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32122 - 310?\nAnswer: 31212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2717 divided by 19.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12006.58842 - 0.168\nAnswer: 12006.42042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*c - 36 = 0, -38 = 3*s + 7*c + 2*c - 7*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -31. Suppose -56 = -2*h - 3*j, -4*j = -3*h - 5*j + 77. Let c = h + -3. What is the lowest common multiple of s and c?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - k. Let y be q(1). Let s = 23232\/7 - 3317. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110883 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98400, 98398, 98396, 98394?\nAnswer: 98392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -473*n + 474*n - 2*a + 11, 3*n = 3*a - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*o = 5*q - 6, -5*q = 4*o + 8. What is the remainder when 10\/8 + (-3807)\/(-324) is divided by (q - -2) + (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18303)\/(-2) + (-54)\/108 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 92 - 34133*x + 99.\nAnswer: -34133*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19276848 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 864204156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -0*f - 4*n, 3*n - 21 = -3*f. Suppose -f*c + 168 = 11*c. Calculate the least common multiple of 10 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336616 is divided by 203.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27*w = 206022500. What is w rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261363799981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/12 + 5*f**3\/6 - 3*f**2. Let z be m(4). What is the third smallest value in -2\/19, z, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -4, -112.\nAnswer: -112, -10, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/16)*i*i*i**(-16\/5))\/((i\/(i*i**(-7\/6)*i*i))\/(i*i**11)) assuming i is positive.\nAnswer: i**(2777\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/280 and -103\/12?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621810366?\nAnswer: 2, 3, 241, 487, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20702 is divided by 827.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 3*a + 2. Let v be l(-2). Let z be v + -3 + 4 - -1. Suppose -c + g + 9 = -0, z*g + 8 = 0. Solve -c*j - 2*k + 33 = 0, 4*k - 15 - 6 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 8 + 184 + u - u + 3*u.\nAnswer: 2*u + 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 10. Let g = -1 + r. Put 5, -1, 3, g in ascending order.\nAnswer: -1, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1011 + 1016. Let j(x) = -x**2 - 5*x + 1. Suppose -5*d - 3*i = 22, 6*d = 2*d + 2*i. Let n(u) = -u**2 - 1. Let o(r) = d*n(r) + j(r). Determine o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-36) - 11547\/81. Let b = -130 - r. Does b = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 30024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 54*u**2 - 251*u + 4515. Give a(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 462 - 49. Is g*4*5\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7. Let o(z) = 24*z + 120. Let s(b) = -12*l(b) + o(b). Let i(w) = w + 1. Give 36*i(x) - s(x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - -6?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55495621 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1664 and 896?\nAnswer: 11648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1746281*m**2 - 586422 wrt m.\nAnswer: 3492562*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129307227 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 36*m + 522\/5.\nAnswer: 2*(m - 87)*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26.8, 0.5, 1, 4\/3, -0.3.\nAnswer: -26.8, -0.3, 0.5, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*9 + 126\/21\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 13\/400 (b) 2\/26275 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*l + 20. Solve q + l = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epfp when four letters picked without replacement from vqpqqqfvjqppe.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 0, 2*i + 109 - 9 = d. What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x + 29*x - 7*x + 223*x**3.\nAnswer: 223*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/29353375 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202200 + -20?\nAnswer: -202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2*(-2)\/1. Suppose 4*i + 1 = 21. Let d = 90 + -89.5. Which is the second biggest value? (a) r (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -5) + 1 + -2. Factor 4 + 5 - 1 + 2*y**n + 0 - 8*y.\nAnswer: 2*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236209796 to the nearest integer?\nAnswer: 15369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16189930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 5*x = 16*v + 27, -5*v + 20 = 3*x. Let a(y) = 33127*y + 6. Is a(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 660170.1 grams?\nAnswer: 660170100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 2.2. Let d = -32905.8 + 32906. Suppose 4*b = 4 + 8. What is the fourth biggest value in 2\/9, w, b, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 21*t + 72. Does 9 divide x(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 1 + 23. Calculate the remainder when 58 - z*2\/(-4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -0.3. Let z = p - 0. Let l = 6 - 6.3. Which is the third smallest value? (a) 0 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) -1 (b) -3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2 (base 13) in base 2?\nAnswer: -10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154 is divided by 709.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6212781 + -6212801.000056. Let g = 20 + p. Round g to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnlffvfqnlflqdv. What is prob of sequence dqv?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1646, 1664, 1684, 1706?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1860 and 2602140.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 13) to base 10\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/21343 and 29\/119.\nAnswer: 362831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*j + 33, -3*o - 4*j = -4*o + 21. Solve -o*k + 3 = -6*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.0442 millennia to months.\nAnswer: 744530.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124730 a multiple of 985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*z - 6, 5*g - 5*z + 3 = g. Suppose g*c + 7 = -14. Let a(r) = -r**3 - 4*r**2 - 2*r - 4. Let v be a(-3). Is v greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8515 - 0.1451. Let r = j + 3. What is r rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (26 - 39) - (47 - 9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -83. Differentiate -13*i**2 + 9 - 19*i**2 + x*i**2 with respect to i.\nAnswer: -58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 483520*a + 11689579520 = 0 for a.\nAnswer: 48352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2892, 11570, 26030, 46272?\nAnswer: 72296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from -7543866040.\nAnswer: -7543866040.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 at most 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.277, 2\/7, 0, -7, 9?\nAnswer: -2.277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6176, 6102, 6018, 5918, 5796, 5646, 5462, 5238?\nAnswer: 4968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -s, 4*s - 4*i = -7*i + 62. Sort -3, 3, s in ascending order.\nAnswer: -3, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22793 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*n = 0, -2*r + 4*n + 172 = 160 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*2551957\nAnswer: -331754.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.02 plus 557?\nAnswer: 515.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 93858, 186231, 278604?\n\"Answer: 92373*z + 1485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 - 30*t**2 + 46*t**2 - 3 + 43 in the form u*t**2 + h*t + m and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f + 10 = 0. Let a(r) = 4*r**2 - 2*r - 3. Let c be a(f). Suppose -17 = -2*j + c. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299 - 299.00129. What is y rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*h + 4*f, 15 = -25147*f + 25142*f + 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5\/13 + 278*v**4\/13 + 3868*v**3\/13 + 3586*v**2\/13 = 0 for v.\nAnswer: -11, -1, 0, 163\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 20017651?\nAnswer: 20017651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 24849.\nAnswer: 24849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 3, h: 7, y: 5, a: 2}. Give prob of picking 2 j, 1 h, and 1 m.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 173561179663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 29. Determine u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -315.0922 + 315. Round z to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*a - 16 = 0, 2*z + z + 2*a = 8. Solve z = -2*b + 3 + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/4 + 27*s**4\/4 - 243*s**3\/4 + 729*s**2\/4 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 13 = -2*o, -5*c + 2*o + 718 = 0. Suppose 11*j - 43 = c. What is the remainder when 74 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3 + sqrt(7)) + -1 + sqrt(7) + -4)*2)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0577191 hours?\nAnswer: 207788760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 21*w**2 + 11*w - 13. Let g be i(10). Which is the second biggest value? (a) -1 (b) 2 (c) -1\/6 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/15*(-30)\/(-8). Suppose -h = 1 + 3, 5*d - c*h = 535. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -154*w - 4*w - 11*w - 8800 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(34*(-145)\/(-986))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599461849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4000 + 116*h + 4000 as o + j*h and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 442222 (base 5) in base 16?\nAnswer: 3bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -49 - 29) + -22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - -26?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.0445 - -37. Let x = -0.1445 - q. Which is the nearest to 2? (a) x (b) 0.2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -s - 50. Suppose 4*t = -15 + 183. Suppose -10*r = -s*r + t. Calculate the lowest common multiple of 6 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 538 divided by 23627\nAnswer: 538\/23627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2777 divide 39100160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22261141 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a53027 (base 11) to base 10.\nAnswer: -14088664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.91454 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 5. Let i be a(-5). Let t(j) = -j + 3. Let z = -18 - -21. Let d(m) = m - 5. Determine i*t(w) + z*d(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/84448 and -11\/192?\nAnswer: 506688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -182*b + 163. Let q be j(-29). Is q\/4 - 3\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*p**2 + 2*h**3*p + 2862*h**3 + h*p**2 + 20454*h*p wrt h?\nAnswer: -12*h*p**2 + 12*h*p + 17172*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, m: 1, b: 7}. Give prob of sequence dm.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815484 is divided by 407732?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 155 = -0*f. Let z = f - 22. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -20*m**5 - 124*m**4 - 172*m**3 + 124*m**2 + 192*m = 0.\nAnswer: -16\/5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246552762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3911110821.80109 + -5.\nAnswer: 3911110816.80109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -434*b**2 - 367*b**2 + 882*b**2 to t*b**2 + x*b + c and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36015 (base 15) to base 9\nAnswer: 282122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 24126085.9815?\nAnswer: -24126085.9115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13987*u - 37189*u - 15036*u - 16913*u.\nAnswer: -83125*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 2*t**3 - 3*t**3)*(3*t - t - 4*t) + 5*t**4 - 5*t**3 + 5*t**3 - t**2 + t**2 - 2*t**4.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*k - 1106*k + 98851 - 14257 = 2359*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.17 and -8835510.923.\nAnswer: -8835511.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.3077 decades in years?\nAnswer: 793.077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1879 divided by -77785\nAnswer: -1879\/77785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84048116*n + 57628534 wrt n.\nAnswer: 84048116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/17)\/(k*k**(-1)\/k) assuming k is positive.\nAnswer: k**(19\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*p**4 + 7*p - p**2 - 5*p**4 - 2*p + 0 in the form w*p + t*p**3 + d*p**4 + g + s*p**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:22 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5005 + 869. Let m be (12504\/k)\/(-3) - -2. Let j = m + 29533\/4136. Find the common denominator of j and 25\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -80. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36, 77, 118?\n\"Answer: 41*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 12*k - 3. Let w(g) = -g**2 + 229*g + 1171. Let j be w(-5). Calculate l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 7}. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*d**2 - 155*d + 155*d + (2 - 2 - d)*(65*d - 30*d - 24*d) + 4*d**2 + d**2 - 4*d**2 + (-3*d + 6*d - 2*d)*(-d + d - 2*d).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179.7 - -174.7. Let p(a) = a + 2. Let h be p(2). What is the smallest value in h, v, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.057 + 10.943. Let k = -11.1 + l. Which is the closest to k? (a) -1\/2 (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*m + 4152 = 12*m + 1432 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, 365, 5, 2\/9 in decreasing order.\nAnswer: 365, 5, 1, 2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b - 4. Let n be d(-5). Suppose 3*k = 7 - n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7170, -28241, -62496, -109233, -167750, -237345, -317316?\nAnswer: -406961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10383188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 1. Let p(b) = -b**3 + 9*b**2 - 2*b. Let f be p(0). What is q(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*z + 137*z - 91*z as h*z + a and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3545 + -401?\nAnswer: -4146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -20. Suppose -3*m - 49 = -2*h, v*m - 4 - 6 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 738 and 420?\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tov when three letters picked without replacement from {o: 2, t: 10, v: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 31.3. Let j = -0.3 - w. Let h = -24 - -117\/5. Which is the closest to -0.1? (a) h (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000957806 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 3*f**4 + 0*f**4)*(-2*f + 7 + 2 + 3*f).\nAnswer: -f**5 - 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 79*t - 81*t - 3, -5*t = 2*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.016 + 0.0173. What is l rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 11*o - 3*o + 17*o**2 + 7.\nAnswer: 17*o**2 + 8*o + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from ddvkakkkvdvkzadaqaaz.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5885512, -5885521, -5885530, -5885539, -5885548?\nAnswer: -5885557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 348 = 333. Let q(o) = -o**3 + 7*o**2 - 7*o - 1. Let f be q(6). Let s = -3 - f. Solve s*w = j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50086635451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29\/2227 + -1244545\/26724. Let l = 76\/3 + c. Calculate the common denominator of l and -73\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a*c**3 - 2*a*c + 10*a - 12*c**3 - 1 wrt c.\nAnswer: -24*a*c - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 6. Let j(i) = -1. Let o(v) = -11*j(v) - 2*u(v). Let f(n) be the first derivative of -n**2\/2 - 1. Let h(a) = -6*f(a) + 2*o(a). Give h(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133696 is divided by 5006?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w - 7 = -82*w - 3*d, -w + 23 = 5*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 11*l**2 + 11*l - 21. What is the lowest common multiple of 56 and b(-9)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - -9 - 3) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/4))**40)**(2\/61) assuming o is positive.\nAnswer: o**(-60\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2629.789l to millilitres.\nAnswer: 2629789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:03 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 11, q: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1098, 4492, 10180, 18162?\nAnswer: 28438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 10. Let z = -21 - -13. Let o be u(z). Solve -10 - o = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7155062 tonnes in kilograms?\nAnswer: 715.5062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 138 = 2*d, -199 - 149 = -5*d + i. What is the common denominator of 321\/132*4\/2 and d\/(-48)*15\/(-50)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -6373.01762292?\nAnswer: -6367.01762292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166 = 89*w + 703 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-812)\/(-348)*(-432)\/28.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 77.39152mm?\nAnswer: 77391520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 520077 times 4\nAnswer: 2080308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 10*v**2 - 5. Let s be a(8). Suppose -3*i - 2*i + t - 234 = 0, -20 = -5*t. Let r = s + i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -558 - 16.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/20*(-40)\/(-825)*5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -371*n + 503. Determine r(2).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*g - 19. Let c = 14 + g. Let t be 2 + (c - 4)\/3. Is t less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/10)\/(2\/(-5)). Let t = -25 + 25. Suppose -12 = 4*h - 36. Solve -j + t*j + 9 = -5*i, -h = x*i - j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -14*k**3 - 67408931*k**2\/2 - 20285550466399*k + 7244841601805\/2 = 0.\nAnswer: -1203731, 5\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 2618 - 7157 = 0. Let i = 949 - x. Does 51 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:22 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.226 * -12.66.\nAnswer: -66.16116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/7)*b*b)**(-37)*(b**1)**8*(b\/(((b*(b\/(b\/((b*b**(4\/3)\/b)\/b*b))*b)\/b)\/b)\/b)*b\/((b**(1\/6)*b)\/b))**(1\/6) assuming b is positive.\nAnswer: b**(-2581\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21530920 by -10.\nAnswer: -2153092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 35*c - 350. Let k(a) = 5*a - 52. Let f(n) = -20*k(n) + 3*p(n). What is f(9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8304)\/(-31140) + (-116)\/(-15) - (32 - (1 - 2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 10603 = -2*u, -21209 = -4*u - d. Let g(m) = 1361*m + 226. Let j be g(-2). Let h = j + u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/35*12\/((-576)\/40)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-3))\/(1\/8). Let m = l - -14. Calculate the remainder when (-5)\/m + (-31)\/(-2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -140.95, 2\/7, 0.3 in decreasing order.\nAnswer: 0.3, 2\/7, -140.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -317, 3, -69, 32 in ascending order.\nAnswer: -317, -69, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {d: 1, q: 18}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*o**2 - 2*o**3 - 195223*o + 98066*o + 97589*o = 0. Calculate o.\nAnswer: -27, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -575, 2, -5895, -2, -5 in decreasing order.\nAnswer: 2, -2, -5, -575, -5895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -290, -673, -1220, -1937?\nAnswer: -2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d. Suppose -2*l + 15 = 5*j + 3, 0 = -j + 4*l + 20. What is the nearest to 0.1 in d, j, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + 1 + sqrt(363) - sqrt(363)*-1*-2))**2 + (-1 + -6*(-2*sqrt(363))**2)*-3.\nAnswer: -22*sqrt(3) + 26503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0242 - -214.9758. Let d = t - 106. Let w = d + -108.13. What is w rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.025 - -39.876. Let x = -0.499 - g. Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39307, -78638, -117977, -157324, -196679, -236042?\n\"Answer: -4*b**2 - 39319*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23629624 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -26, -3, -18, 1, 107 in descending order.\nAnswer: 107, 1, -3, -13, -18, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 3. List the prime factors of (-52)\/(-10)*(1 - b).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.9987 + -14. Round c to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h. Suppose h*l - 2*l + 4 = 0. Suppose -m = 4*r + 27199, -r + l*r - 5*m + 6805 = 0. Round r to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152151161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:48 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j - 20. What is the least common multiple of 6\/12*(-20)\/7*-7 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*s - 2927 = -13744 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 238223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) - -1*sqrt(288)) - sqrt(288) - 1*sqrt(288))\/((sqrt(960)*-3 + sqrt(960))\/sqrt(10)))**2*1 + 3.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3*(7 - 1). Let p = 9 - 6. Suppose -20 = 4*o, 2*o = -4*m - p*o - 21. Solve 5*b + 4*v - m = 21, 6 = -3*b + g*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*m - 1326 - 96*m + 1203 to u*m + h and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3089\/6 - 515. What is the closest to 0 in m, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 718 (base 9) to base 3\nAnswer: 210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 y, and 1 q when four letters picked without replacement from {j: 5, y: 1, o: 2, d: 4, q: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31189006?\nAnswer: 2, 257, 60679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -881, -906, -979, -1124, -1365?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-228)\/(-20) - 4\/10. Suppose -2*d = 5*s + 17, -4*s + 5*s = d - 2. Let v be (-1)\/s - 196\/(-6). Calculate the greatest common factor of v and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797705 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3122289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 302492 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 67, -177996?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 80. Let a = 69 + v. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let c(h) = 5 - 2 + 43*h - 3. Give c(a(g)).\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45752 is divided by 182?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/4? (a) -4 (b) 2\/3 (c) 3 (d) 18 (e) 4 (f) -1.967\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + sqrt(1900)*1 + 1 - sqrt(1900))**2 - (3 + sqrt(1900) + sqrt(1900)*1)**2) + -1.\nAnswer: -5709 - 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -161, -132, -103, -74?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:26 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6619, -14117, -22495, -31759, -41915?\n\"Answer: -c**3 - 434*c**2 - 6189*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:04 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-63)\/(-35))\/(6\/20). Suppose j + 10 = p*j. Solve 9 = j*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11696659541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130*i**3*l**2 + 2*i**2*l**2 - 6198*i**2*l - i*l**2 + 9*i*l - 414169*i + 2*l**2 + 3*l wrt i?\nAnswer: 780*i*l**2 + 4*l**2 - 12396*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 509\/14 or 37?\nAnswer: 509\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/41, 92, 2, 2\/73, -2\/5 in descending order.\nAnswer: 92, 2, 3\/41, 2\/73, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-4)\/10)\/((-32)\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*d*o**4*u + 19*d*o*u**3 - 12*d*u**3 + d + 14*u**3 wrt o?\nAnswer: -88*d*o**3*u + 19*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85120431, 85120446, 85120461, 85120476, 85120491?\nAnswer: 85120506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - (-2 + 29 - 54)) + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + 851\/161. Let s(u) = 10*u**2 + 2*u - 9. Is s(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -58?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**6\/15 - 17*x**5\/30 + x**4 + 8*x**3\/9 + 89*x. Find w, given that a(w) = 0.\nAnswer: -1\/3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6116 (b) -80 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1014 (b) -0.38 (c) -1 (d) -4 (e) 4 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*v + 274 = -445*v + 953*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 6*h + 2*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4*2\/4)\/1. Suppose 4*r - 113 = -2*o + 113, 2*r - 104 = h*o. Let x be 120\/r + (-2)\/11. Solve -2*q + 6 = x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7257 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 23 + 28. Let u = 0.2 + -0.3. Suppose 0 = -4*y - 16, 5*q + 6*y = y - 15. What is the closest to 0.2 in u, q, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11904, -12029, -12160, -12297, -12440?\n\"Answer: -3*o**2 - 116*o - 11785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 26. Suppose 5*l + 91 = -3*y, -y - k + 77 = -3*l. Let g be (6\/l)\/(68\/(-85)). Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95.909 - -96. Let u = n + 7.309. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3910, 3905, 3890, 3859, 3806, 3725, 3610, 3455?\nAnswer: 3254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnwn when four letters picked without replacement from bnwbwwmobbomnnbwn.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55 and -1.777.\nAnswer: 97.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 13, 0.448, 2\/7, 1.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1054, -1995, -3562, -5755, -8574, -12019?\nAnswer: -16090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.2 (c) -11 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f + 2*r, 4*f - 4 = 2*f - r. What are the prime factors of (3 + (0 - f))\/1 - -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 11*b + 47. Solve -b*n + 13*n - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**3 + 22*b**2 - 10*b + 33. Let a(o) = -o**3 - 7*o**2 + 3*o - 10. Let z(m) = -7*a(m) - 2*d(m). Let c = -7 - -11. What is z(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*18\/42. Which is the nearest to 0? (a) -5 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*u - 13*c + 14*c, -4*u - 28 = -4*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/15 - 1496\/(-10). Let i = r - 19. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*b + 3*b = 13, -2*k + 107 = -2*b + 115 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/14590 and 67\/8496.\nAnswer: 61978320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271\/52 - -84\/13. Suppose -1 = -3*k + 5. Let m = 7 - k. Which is the second smallest value? (a) m (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.9166537ns?\nAnswer: 0.00000000000247684825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 8) in base 2?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10877\/5 - 2085. Let y = i - 2227\/30. Calculate the common denominator of 47\/58 and y.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184278 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: What is the ten thousands digit of 51742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300122023 (base 4) in base 3?\nAnswer: 212101120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s**2 - 57*s + 18. Let y be t(-6). Calculate the least common multiple of 9 and y + (-24)\/8 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - c + 1. Let j be o(1). Let w be 1\/4 + (-19)\/j. Let d be w\/2 - 1\/(-2). Let b(t) = -t**3 + 2*t**2 + 2. Determine b(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udwdagauv. What is prob of sequence wu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -232, -464, -772, -1162, -1640?\nAnswer: -2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 + 2*q**2 + 3*q. Let d be b(3). Let o = 37 - 25. What is the highest common divisor of o and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3158, -3156, -3152, -3146, -3138, -3128, -3116?\n\"Answer: l**2 - l - 3158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:26 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0*y**2 - y + 2*y**2 + 2 + 6*y. Let j be w(-3). Suppose 4*m + 5*d - 15 = 0, m - d = -j*d + 12. What is m rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 347, 360, 383, 416, 459?\n\"Answer: 5*k**2 - 2*k + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*t**3 - 2*t**3 + 48*t**3)*(2 + 3 - 8) as z + b*t**2 + f*t + o*t**3 and give o.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 296? (a) -2\/41 (b) 2 (c) -0.2 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, -721 in decreasing order.\nAnswer: 14, -1, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -574 divided by -1\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-4)*19\/(-6498)*-19.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r - 7. What is the units digit of n(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Let h be -2 + 11 - 9\/(-9). Suppose 0 = -y*p - 4*s + 20, 2*p - h = -s - 0*s. Solve 2*x - g = -0*g - 15, -2*x - 30 = -p*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367702 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 248, 228, 196, 152, 96, 28?\n\"Answer: -6*y**2 - 2*y + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101313 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369709573?\nAnswer: 43, 359, 88729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/616 - 3\/88. Which is the second biggest value? (a) z (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2579*m**2 - 1610 wrt m.\nAnswer: 5158*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -546*(-183)\/(-28548) + (-265)\/2?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*r - 131*r + 5000 = 0. Let n = r - 1248. Factor 0*s + 2\/3*s**n - 8\/3.\nAnswer: 2*(s - 2)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -31 - (5 - -2)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(567) + -4)*3 - ((sqrt(567) - (0 + -3 + sqrt(567) + sqrt(567)))*1 + 0))**2.\nAnswer: -4590*sqrt(7) + 16776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733954 to the power of 1\/2, to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*b - 2115 = 0, 0 = 5*r + 2*b - 3279 - 7230. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*191684\nAnswer: 95842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1239)\/118*(-6)\/6*14?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-15)*(1962\/192 - 1) and -163\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524, 2\/9, 0.1, 6\/5, 5.\nAnswer: 0.1, 2\/9, 6\/5, 5, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 5*a**3 - 10*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309\/2 + 160. Let u(p) = p**2 - 6*p + 11. Let g be u(5). Is f greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.06 (b) 0 (c) 1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723308 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 38. Suppose -j = -o + 12. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 49 - 7*k**3 - 6*k**3 + 14*k**3 as v*k + o*k**2 + h + y*k**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2 and 17\/5197?\nAnswer: 10394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1405 - -1407. Sort 20, y, -1 in descending order.\nAnswer: 20, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-9) + 78\/(-117)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 4*y - 16. Determine w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5157 + 5157.03. What is the fourth smallest value in -2, 1, x, 3, -0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 8:17 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1710 + 175 + 981)*(-1 - z + 1 + (z + 2 - 2)*(-2 + 3 + 0) + 1 - 1 + z + (1 + 1 + 0)*(5*z - 2*z - 2*z) + 0*z + 2*z + 0*z + 0*z - 3*z + 2*z - z + 4*z - z).\nAnswer: 17196*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 0*z**2 - 11*z**2)*(z - 4*z + 2*z) - 4*z**3 + 5*z - 5*z.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (9 - 3))\/(-3 - (-496990)\/165666) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15 = -8*s. Suppose -5*q + 886 = -s*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 - 68870*v**2 - 27*v**4 + 130*v**4 + 71608*v**2 wrt v?\nAnswer: 120*v**2 + 2472*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2*p**3\/15 - 54*p**2\/5 - 1458*p\/5 - 21. Factor l(z).\nAnswer: -2*(z + 27)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 1. Let r(q) = -258*q**2 + 1. Let b(f) = -f - 1. Let v(a) = 3*b(a) - r(a). Let u(y) = -3*i(y) + v(y). Is u(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302619455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u**0*u**(1\/2)\/u*u**0\/u assuming u is positive.\nAnswer: u**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/40*40\/(-2). Suppose m + 188 = h*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 8 = 5*x + 5*d, -x = 2*d - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 25760.\nAnswer: 25760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - i - 2 = 0, -5*i - 2 = -5399*u + 2699*u + 2693*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:01 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6188 divided by -4?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 5*o + o)*(o + 4 - 4) - 2*o - 7*o**2 + 2*o + 3*o - o**2 - 5*o + 0*o.\nAnswer: -6*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120 and 20488160.\nAnswer: 20488160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 5*t = -538 + 533 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59339369*u - 4002185?\nAnswer: 59339369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -407*d**3 + 823*d**3 - d**4 - 4*d + 3*d**2 - 407*d**3 to t*d + s*d**2 + z*d**4 + h*d**3 + c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -27.571135?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**3 - 21*s**3 + 6*s**3.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*j - 12, 0 = 4*i - 1352*j + 1359*j + 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*q*r - 1908*l**2*r**2 + 2*l*q*r + 39*l*r**2 - 3*l*r - 2*q*r**2 - 18*r wrt l.\nAnswer: -6*q*r - 3816*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411 (base 5) in base 10?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10)*-7)\/((-58)\/(-58)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1755*j + 1508*j = 157*j - 2182*j - 200944 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.5, -2\/3, 1 in descending order.\nAnswer: 3.5, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8195689um?\nAnswer: 819.5689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h*o**3 + 150460*h*o**2 - 75*h*o + 93146*o**3 - 17*o**2 - o - 4 wrt h.\nAnswer: -5*o**3 + 150460*o**2 - 75*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:18 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 5.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let m be a(-2). Let w be (0 - m\/(-5))*5. Suppose -24 = -u - 4*k, 20 = -2*k + 6*k. What is the highest common divisor of u and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*c + 131 = 131 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 - 4*x**3 + (-x**2 + 3*x - 3*x)*(-2*x - 3*x + 6*x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 8543409\nAnswer: -51260454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r + 2. Suppose 0 = r*p + p. Solve 0 = -5*h - 3*z, p = -0*h - h - z - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 5610 = -6402. Suppose h + 2*h - 81 = 0. Find the common denominator of 101\/52 and 9\/(-24)*j\/h.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23825 and 6.\nAnswer: 142950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 513 = 2*h - 729, -4*h + 2496 = -4*n. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 5)*1\/(-2). Suppose -36 = 12*b - 3*b. Put q, 4, b in increasing order.\nAnswer: b, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j - 117. Calculate z(-26).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 37*i - 438. Solve -3*j = x, j - 3*x = 2*x - i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 9 = -y. Let n be 1376\/(-14) + (-52)\/(-182). Let q = 100 + n. Put y, q, -4 in decreasing order.\nAnswer: q, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/((-4)\/2)*1. Suppose -l*u + 19 = -4*u. Let z = -17 + u. Solve -15 = -5*x, 5*q - x = z*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15\/7)*x**(-10\/9)*x*(x**(-10\/3))**(2\/13))**(-21) assuming x is positive.\nAnswer: x**(2266\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 180 = -12*w, 526*q - 523*q - 140 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 5*q + 15, -3*h + 7 = -4*q. Suppose -h = 2*p - 1. Is (p\/(-3) - -1)*6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 6*w + 2. Let d be a(4). Is 1225\/21 + (-4)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + k - 2. Let l be q(-5). Let v = l + -13. Solve 0 = 3*o + m + 3, -o + v*m + 8 = -7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 + 6*o - 19. Let i be x(6). Let l = 90 + i. Which is the third biggest value? (a) 0.2 (b) l (c) -0.4 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121847413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60\/383 + -563\/1149. Suppose -u + 1 = -0. Let a be (1\/4)\/(u\/(-6)). Put q, -2\/5, a, 3 in decreasing order.\nAnswer: 3, q, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(500)) + (-1*sqrt(20) + sqrt(20) + -5 - (-3 + sqrt(320))**2).\nAnswer: -332 + 68*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (-10 - 58) + 32.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-950)\/(-50)*42\/21*1\/(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2017, -4765, -8233, -12427, -17353, -23017?\n\"Answer: -o**3 - 354*o**2 - 1679*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000328348394 rounded to six dps?\nAnswer: -0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h**2)*(1 - 3*h**3 - 1) + (-783 + 1473 - 741)*(3*h**5 - 2*h**5 - 2*h**5).\nAnswer: 45*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 - 2*l + 39. Calculate f(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-7 - -18) + -8 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -21228 in ascending order.\nAnswer: -21228, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1533)\/219 + (2 - -7). Solve -3*t - 15 = 0, 6*x - 11*x + 10 = -o*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -1) + 3 + 10 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.831 to one decimal place.\nAnswer: 53.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 4788881298\nAnswer: -4788881297.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1339395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-1 + 0)\/1. Suppose -5*p = -4*r - 46, 0 = -0*p + 2*p + 4*r - 24. Suppose p = -x*y + 2*y. Calculate the highest common divisor of 35 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s. Let r(n) = 33*n. Let j(c) = -10*r(c) - 78*y(c). Let p(h) = 7*h. Let l(i) = -6*i. Let d(b) = 6*l(b) + 5*p(b). What is d(j(k))?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -23*r**3 + 2*r + 1. Let m be l(-1). Suppose -h = -3*j + 92, -16*h = -4*j - 12*h + 136. Differentiate 5*g - m - 3*g + j wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a + 7 + 26 + 5*a - 10. Suppose 3*d = 5*q + 16, -2*q + 1 + 1 = 0. What is the remainder when d is divided by y(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11763*q**2 - 2 + 2 - 11765*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = 107*c - 936 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4232302 months in decades?\nAnswer: 0.020193585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cd - 2?\nAnswer: -cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*(q*q**(-10)*q*q)\/q)\/q)*q*q*q**5)**35 assuming q is positive.\nAnswer: q**560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3343, 4?\nAnswer: -3343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077.\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 4:09 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103037\/(-1102))\/((-22)\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19808199869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1113 - 146. Let q(t) = -3*t + f - 967. Let k(n) = n - 3*n + n. What is k(q(s))?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 18. Let w(a) = 7*a - 35. Let j(g) = 5*v(g) - 3*w(g). Let y be j(8). Solve 1 = -u + 5*b, -5*b - y = -4*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37\/(370\/(-910)))\/(-7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54646927\/4680 + 151792\/13. Find the common denominator of -111\/160 and b.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 6. Let b(d) = 2*d**2 + 2*d + 19. Let l be b(g). Suppose 5*r - l = 47. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c + 378 = 0. Calculate the remainder when (c - -3)\/3*(-3 + 0) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.98. What is the nearest to 1\/2 in -0.4, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640878?\nAnswer: 2, 19, 29, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 6:00 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -14 - (73 + -73) - (9 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*l = -26, 8 = -3*o - 3*l + 2. Suppose -6*b + o*b + 20 = 0, 23 = 4*s - b. Calculate the smallest common multiple of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 385*f - 3120. Calculate u(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22*w**2 + 34 - 18 + 17*w + 24*w**2. Let v be l(-8). Solve 13 = 7*u - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p - 2 - 27*p - 27*p - 22*p in the form x + g*p and give g.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from jssjsjs.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8278 - -1?\nAnswer: -a8277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-26 - -53) + (3 - -1) + 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 20 = -55. Is -2 - (-4 + 2) - m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -8 - ((6 - -1) + 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4906364201?\nAnswer: 4906364201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13988898*d**4 + 11140231 wrt d?\nAnswer: -55955592*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14306 + 18364 = 90*c. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2 + 10. Let i(t) = 3*t**4 + 2*t - 7. Let q(a) = -a**4 - a + 2. Let f(g) = p*i(g) + 7*q(g). What is the second derivative of f(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 5*n + 2 + 0*n**2 - n**2. Let h be d(4). Suppose -4*w + h = -2*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3.98. Let i = -2.98 - y. What is the nearest to -0.1 in 5, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 - 137\/(-9). Let x be 3 - 8\/(-12)*c. Suppose -x + 37 = 2*y. Solve 4*d = -0*d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + 1304\/(-7). Let s(w) = 46*w**3 + 553*w**2 + 8*w - 235. Let z be s(-12). Does b = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 210\/(-21)*(0 - 8\/20). Sort -3, 516, w in decreasing order.\nAnswer: 516, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(119) + -2*sqrt(119)*1)\/(sqrt(49)\/(sqrt(28)\/sqrt(4))).\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51564684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, 19, -1 in descending order.\nAnswer: 19, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33956309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -854085559*o**2*v**5 + 7060801*o**2*v - 10*o**2 wrt v?\nAnswer: -17081711180*o**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 1:46 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/15*-3 - -47. Let s = 14 - 12. Suppose s*p - 4*p + 24 = 0. What is the highest common divisor of q and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a + 601071483*a**2 - 601071484*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 0*t**4 - 1\/21*t**7 + 0 + 21*t + 0*t**2 + 0*t**6 + 0*t**5 + 2*t**3. Find the second derivative of w(q) wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4\/(i*i**(1\/3)))\/(i**(-2\/3)\/i)**(-27))**(-1\/11) assuming i is positive.\nAnswer: i**(127\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*sqrt(1700))**2)*2.\nAnswer: 54398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 138*k**2 - 2356*k - 18. Determine v(-118).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, k: 1, p: 1, t: 2}. What is prob of picking 1 u, 2 p, and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32\/13 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -5 (c) 2\/11 (d) 94 (e) 6.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1\/147121289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/4870 and 99\/14.\nAnswer: 34090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3892048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.057 and -10935363625910?\nAnswer: 10935363625910.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15644334 (base 9) in base 11?\nAnswer: -4464239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1045, -1163, -1353, -1615, -1949?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3\/3 + 3*h**2\/2 - 13*h. Determine p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26099.84 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/(-231) - 177\/33. Suppose -60 = -3*h + j, 6*h - 4*j - 72 = 2*h. Sort o, h, 3, -1 in descending order.\nAnswer: h, 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*a - 4*m - 13, 4*m = 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(0 + sqrt(3) + -4))**2.\nAnswer: -48*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/380 and (1130\/190)\/(-86 - -34)?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069 rounded to four decimal places?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 - 29*b**3 + 11*b**3.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 0.5, -16\/9, 8?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i + 384 + 222 = 129 - 2643 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, t: 1}. What is prob of sequence aata?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -155, -168, -217, -314?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 4. Let c be k(-6). Let r(l) = -l**3 - 2*l**2 - 2*l + 3. Let s be r(c). Let a = s - -35. 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: Solve 31*r = 214 - 59 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 48 = 3*l. Suppose 5*i + 43 + l = 0. Is 8\/(-44) + (-816)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 146. Let x(a) = 6*a - 730. Give 11*s(j) + 2*x(j).\nAnswer: j + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 33*n - 1. Let u(y) = y. Let k(q) = g(q) - 5*u(q). Let m be k(2). Let s = 63 + -41. What is the highest common divisor of m and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -2 + 15 + (-6 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose 1 = 5*m + t*l + 2, 0 = -2*m - 5*l - 14. Solve -1 + 10 = -m*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13979*y**3 + 2*y**2 - 15*y - 7653837 with respect to y.\nAnswer: 41937*y**2 + 4*y - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 706, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/106)\/((-2)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocbpo. What is prob of sequence bo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 235*b**3 - 82*b**2 + 2*b - 3. Let w(v) = 118*v**3 - 35*v**2 + v - 1. What is -7*w(u) + 3*x(u)?\nAnswer: -121*u**3 - u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, 7, -4\/5, -1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y + 5 = 0. Let f(u) be the first derivative of -u**4\/2 + 7*u**3\/3 + 5*u**2\/2 - 3*u + 2. Is f(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311033976 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 801.979 centimeters in meters?\nAnswer: 8.01979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380*w + 2589*w - 163772 + 496092 = -2945*w for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/72 - 77*w**3\/36 - 713*w**2\/6 - 13849*w. Solve z(y) = 0.\nAnswer: -46, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 9*q - 5*q + 17, -3*q - b - 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 112. Suppose 0 = -5*o - x + 80, -2*o - 3*x + x + 32 = 0. Suppose 3*y = r + 5*y + o, y = -2*r - 17. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z**6)**(-3\/5)*(z**(-4)\/z**(-2))**(2\/17) assuming z is positive.\nAnswer: z**(-428\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, -122, -40, 2, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/15))\/a**9)\/(a*a*a*a**(-4)\/a*a*a*a**(-2\/3)) assuming a is positive.\nAnswer: a**(-112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106257740 to the power of 1\/2, to the nearest integer?\nAnswer: 33260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(2\/11)*p*p**6*(p**1)**31 assuming p is positive.\nAnswer: p**(431\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -8. Suppose -x + 4*l + 22 = x, -s = 5*l. Which is greater: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -108387?\nAnswer: 108382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -819618*m**4 - 18*m**3 + 12064132?\nAnswer: -3278472*m**3 - 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**5\/6 - i**2\/2 + 45. Let p(m) be the second derivative of b(m). Let s(o) = 3*o. Calculate p(s(h)).\nAnswer: 90*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**8\/12 + 8*u**7\/21 - 3*u**6\/5 + 4*u**5\/15 + u**4\/6 - 20*u**2. Solve m(x) = 0.\nAnswer: -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**2*q**3 + 24*h**2*q**2 - 17044*h**2*q - h*q + 2*q**4 + q wrt q?\nAnswer: -60*h**2*q + 48*h**2 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 58*s**2 - 8*s + 87. What is m(-58)?\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 10. Let b be f(9). Suppose 2*g - 2 = b. Suppose -j + 389 = 4*k - 402, 0 = g*j + 25. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -542.4 + -568. Let g = -1265 - z. Let y = g - -155. Sort -7\/3, 0.2, -0.3, y in decreasing order.\nAnswer: y, 0.2, -0.3, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 4*w**2 - 3*w)*(-5 + 2*w + 5)*(-w - w + w) to the form r + j*w**2 + h*w**3 + y*w**4 + t*w and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6969, 8549, 10185, 11877?\n\"Answer: 28*h**2 + 1496*h + 5445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0*a + 3*a + 9 = 0, 10 = 4*c - 2*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.155 plus 26?\nAnswer: 19.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.953 + 0.047. What is the biggest value in 1\/2, -4\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1445 - -2444. What is the greatest common factor of a and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-3)\/(-9)*-6779 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 34, 52, 70, 88?\n\"Answer: 18*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) + (-24)\/9. Suppose -z + 0 + 7 = 0. Let r = u + z. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)\/(t**(2\/15)\/t)*((t*t\/t**(-3\/5)*t)\/t*t)**(-2\/71) assuming t is positive.\nAnswer: t**(-2606\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 865491 at most as big as 1730981\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94 - 79 + 188)*(-2*b**4 - 2*b**4 + 2*b**4) to the form o + a*b**3 + f*b**2 + c*b**4 + u*b and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-10576)\/13881.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 587, 870, 1153?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 922 - 746. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.3 - -56. Let k = q - 1.7. Let m = -11 + k. Sort 2, 4, m in decreasing order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 1 + o + 4*o**2 + o. Let w be h(1). Let u = w - -3. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 8 = -3*v + 21*h, -5*h = -v + 20. Suppose -2*p = 5*i, 3*p = -4*i + 7 - 0. Put v, i, 4, 2 in descending order.\nAnswer: 4, 2, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -2111?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -24*h - 61. Let q(v) = v**2 - 13*v + 29. Let g be q(9). List the prime factors of y(g).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1285 less than -79613\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2180, -1, 2.\nAnswer: -2180, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0)*(-1 + 1 - 2)*(-14*x**3 - 11*x**3 + 10*x**3).\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108513779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176776 divided by -4652?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + 5 + -4 + sqrt(76)\/sqrt(4) + sqrt(19) + 5.\nAnswer: 7 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21208 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/4916245 or 1?\nAnswer: 128\/4916245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -442?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) 3\/2 (c) -26902 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -2\/51, 20, -1?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(20) + (5*sqrt(5) - sqrt(5)) + -1)*-2*1.\nAnswer: -4*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2803 + -2803. What is the second biggest value in -2\/5, u, 5\/14, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -27, -34, -45?\n\"Answer: -2*w**2 + 3*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (-42 + (-47 + 20 - -48)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204891 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 7*z**3 - 8*z**2 + 19*z + 8 + 8*z**3. Let d be b(3). Solve 4*f - n + 4 = 2*n, d*n = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.3, 4, -3, -0.3, 2\/5215?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 518578.18 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16223 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: b\"What is the gth term of 27, 107, 227, 375, 539, 707, 867, 1007?\n\"Answer: -2*g**3 + 32*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.79 + -12.49. Put 1, b, 1\/7, 14\/9, 1\/8 in decreasing order.\nAnswer: b, 14\/9, 1, 1\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28373593 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(75) + (sqrt(75) + 2 + sqrt(75))*4) - (-2*sqrt(75) + 5 + sqrt(75) - sqrt(75) - 1*(sqrt(75) - -2*sqrt(75))))**2 + 1.\nAnswer: 2730*sqrt(3) + 13117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4696.51 millennia to years.\nAnswer: 4696510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4388 + -21113\nAnswer: -16725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 15. Let l = 17 - 10. Let y = m + l. Which is the smallest value? (a) y (b) 1\/6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10.8. Let c = -1.2005 + f. What is c rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**7\/2520 - s**6\/1080 + s**5\/360 + s**4\/72 - s**3 - 1. Let h(w) be the third derivative of l(w). Find b such that h(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 8*w**2 - 9*w + 2. Suppose -3*s - 31 = -10. Determine i(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t + 6 - 5*t**2 - 2*t**2 + 6*t**2. Let z be d(-9). Find the third derivative of 8 - 25*v**2 + 4*v**2 + 11*v**z - 8 wrt v.\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -65\/44, 1, 2\/5, -0.5, -24?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*w = 303, 5*w - 27 = -12. List the prime factors of u.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 - 5*o**2 - 2*o**2)*(0*o + o + o)*(-2*o + 4*o + 0*o).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 10*b**2 - 14*b + 15. Let t be w(-11). Let d be ((-9)\/12)\/((-3)\/t). Let m = d - 8. Calculate the remainder when 7 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589811976 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-18) + (-8)\/(-36) + 39. Let h be 156\/38 - 4\/a. What is the third derivative of -10*o**2 - 10*o**4 + 6*o**h - 8*o**4 wrt o?\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1349021816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 104, 241, 444, 719, 1072?\n\"Answer: s**3 + 24*s**2 - 2*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1853458 - -5\nAnswer: -1853453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21164 and 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -5 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141761 - 141759.49199. Round r to 2 dps.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81780 greater than or equal to 70\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62105*k**3 - k - 1838 wrt k?\nAnswer: -372630*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddfk when four letters picked without replacement from {k: 2, d: 7, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.3 + 40.4254. Let o = k - 0.13. Round o to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071*u**3 - u**2 + 7*u - 29*u - 12*u - 203*u**3.\nAnswer: 868*u**3 - u**2 - 34*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6\/1043, -18, 0.025, 1?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, -15, -6, 0.2, -77 in descending order.\nAnswer: 0.5, 0.2, -0.2, -6, -15, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 1249?\nAnswer: 157374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.24 (c) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6116061528?\nAnswer: 2, 3, 2693, 31543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2559*p + 9013 - 24215 - 18065 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 - 4*l**2 + 7*l - 4. Let n(y) = -15*y - 7*y - y**2 - 1 + 23*y. Calculate -j(r) + 4*n(r).\nAnswer: -5*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201128079 by -29.\nAnswer: -6935451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 94 - 3\/7*t**2 - t**3 + 27\/28*t**4 + 0*t. Factor i(x).\nAnswer: 3*x*(x - 1)*(9*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*w*x**5 + 211*w*x**2 - 4*w - 385*x**6 + 10*x**3 + x**2 - x - 2 wrt x?\nAnswer: -780*w*x**2 - 46200*x**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y - 16*y**2 - 22*y**2 + 32*y**2 - 14. Let v be u(1). Let s(l) = -l - 6. What is s(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 44*g**4\/3 + 36*g. Let w(u) = -2*u. Calculate o(w(z)).\nAnswer: 704*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 5*p - p + (2 - 4 + 1)*(6 - 3*p - 6)*(0 + 4 - 3) to the form w*p + x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*d + 2*d - 34 = 0, -4*d - 22 = -2*l. What is the first derivative of -7*j**2 + 11*j**2 - 4*j**2 + l*j**4 + 3 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 261.3?\nAnswer: -3135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13017.\nAnswer: 3, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 4*k + 36. Let s = 11 + k. Calculate the lowest common multiple of -3*s\/((-21)\/(-20)) and 11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48161459 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2639 and -40\/4356641.\nAnswer: 396454331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.0608, -47, 3, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 48918860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 2560*h - 53200.\nAnswer: 5*(h - 20)*(h + 532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbwhwwwh. Give prob of sequence wbh.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -34349 and 0.16329.\nAnswer: -34348.83671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 494 - 194. Suppose -5*o - 2*s + u = 0, -2*o = -o - 4*s - 82. Suppose -4*t + 2*t = -o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1185 divide 663674655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -922 + 1804. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 23 = -4*s, 38*y - 10 = s + 34*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2702, 2704, 2706?\nAnswer: 2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2198*p**3 + 97*p**2 + 11*p + 65. Let w(z) = 733*z**3 - 34*z**2 - 4*z - 22. Let v(u) = -4*n(u) - 11*w(u). What is the third derivative of v(y) wrt y?\nAnswer: 4374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/(-18) - (-159)\/(-36) and (-2014)\/1092 - (-4)\/26?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 4439?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8204 - -14318. List the prime factors of h.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(28)\/sqrt(4) - (sqrt(315)\/sqrt(5))\/sqrt(9)) + -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39851, 79704, 119557, 159410, 199263?\nAnswer: 239116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 50. Let w = -19 + y. Put w, 1, -4 in descending order.\nAnswer: w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 7*v - 5*v)*(-1 + 3 - 1)*(2 + 2 - 5) - 3*v + 3*v + 2*v + (-2 + 2*v + 2)*(1 + 2 - 1) + 0*v + 19*v + 2*v.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 12. Let q(c) = c**2 + 2*c. Let b be q(-3). Let k be (b - 5) + 3 - 16\/10. What is the closest to p in k, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436770 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -62, -217, -518, -1013?\n\"Answer: -8*n**3 - n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2549, 5096, 7643?\nAnswer: 10190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**2 - 2*j**2 + 3*j - 13*j**2 + 3*j**3 to v*j**3 + p*j + t*j**2 + k and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 22.328, 2\/11 in ascending order.\nAnswer: 2\/11, 6\/7, 22.328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1450, -1466, -1494, -1534?\n\"Answer: -6*q**2 + 2*q - 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n + 0*n + n)*(-2*n**2 + 4*n**2 - n**2)*((3 - 6 - 1)*(0*n**2 + n**2 + n**2) + 4*n**2 - 2*n**2 - n**2).\nAnswer: -77*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -174, 58 in decreasing order.\nAnswer: 103, 58, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -279 - -295. Suppose -r + 3*l = -x, 4*l + 29 = 4*r - l. Is r less than or equal to 3\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**5*g**2 + 2*a**4*g**3 - 2*a**2*g**3 - 14*a**2*g wrt a?\nAnswer: -840*a**2*g**2 + 48*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*c**3 - 1 - 128*c**3 - 1 + 980*c + 67*c**3.\nAnswer: -c**3 + 980*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1014466916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*g + 26*g + 3*n - 171, 0 = -3*g - 4*n + 260. Calculate the highest common divisor of 10784 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4859938*m**3 - 2148528*m**2 wrt m.\nAnswer: 29159628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1224 minus 646.142?\nAnswer: -646.2644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/45*(-265)\/18*-4. Which is greater: p or 11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57205 + 143*j**3 + 163*j**3 - 149*j**3 - 57205 + 282*j**3.\nAnswer: 439*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 4 - (0 - ((-5 - -7) + -3))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 - 62 - 4*l**3 + 7*l - 67 + 129 + 5*l**2. Let a(q) = -q**3 + 3*q**2 + 4*q. Calculate -5*a(r) + 3*j(r).\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 14*z - 12)*(-4 + 4 - 2)*(-27 + 32 - 28).\nAnswer: -644*z - 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640 divided by -222.\nAnswer: 320\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1485 and 175815?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 6:15 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-13 - (1 + -10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*f + 558*f + 3*n + 3 = 0, 5*n = 2*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-120)\/(-160))\/(0 - (-11553)\/(-8)). Is f > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12195569 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((27\/(-6))\/(2\/(-20)))\/(-1). Let h = -34 - t. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/14 and -38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/12 - k**3\/6 - k**2 + k. Let r(l) be the first derivative of o(l). What is the derivative of r(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (400\/30)\/(-20) - 4\/30. Which is the fifth smallest value? (a) 3 (b) -64\/3 (c) 2\/9 (d) n (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:32 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 7525752*n - 7079617895688.\nAnswer: -2*(n - 1881438)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -368 * -0.874934\nAnswer: 321.975712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.57 + -0.07. Let s = a - -0.5. Let w = -1.1 + 0.1. What is the second biggest value in s, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/((-24)\/21) + 7. Suppose h = y - 2, 3*i - 13643718 = -3*y + 1026288. What is i rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1100110111000111?\nAnswer: -1100110111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 15. Let w be v(-12). Let z = -17 - w. Let h(n) = -20*n. Let d be h(-1). What is the greatest common factor of d and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 + 20*g**2 + 28*g + 12 = 0. Calculate g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68601452 is divided by 5649.\nAnswer: 5645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (1 + 30)) + 9 - (9 - 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 19) + 22 + 6 + -8?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*3)\/(9\/(-6)). Let x be ((-2)\/(-6))\/(7\/(-105)). Let c = x + u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*y = -x + 541*y + 17, 23 = -4*x - y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912356.12 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4\/5*h**2 + 4\/5 - 6\/5*h = 0?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (1\/(-2))\/(4\/(-144)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f + 4*f + f + 2*f - 5*f - 2*f - 2*f + 2*f - 2*f - 2*f + 6*f + (-1 + 0 + 3)*(1 + 2*f - 1) + 3*f - f - f + 3 - 3 - f)*(3*f - 5*f + f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y - 2*y**3 + 4*y**3 - 3*y**3 + 4*y**3 + (-3*y**2 + 4*y**2 + 0*y**2)*(2*y - 2*y - y) - 5*y**3 - 7*y**3 - 10*y**3.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-52 + 56 - (-4 + 4 + -1 - -60))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l - 36696 - 35749 + 72445.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11000101110000001101 (base 2) to base 3\nAnswer: -1112011002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/60 + 18\/(-8). What is the nearest to -1\/2 in k, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 139. Let f = t - -91. Let o be (-1 + 3 + -1)*-1. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208569138 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(1246 + 669 - 379)*(4 - 4 - 2*k) to i*k + a and give i.\nAnswer: 6144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78942 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 14*o + 144*o - 11 - 9.\nAnswer: 130*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4235\/(-180) + (-6)\/27 and (-1)\/6*-2 + (-2)\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)\/(2\/3) - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 410 + 434. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 49*d + 126. Let p(w) = 10*w + 25. Let j(c) = -11*p(c) + 2*r(c). Let m be j(14). Let u = -105 - m. List the prime factors of u.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*q = -92*q - 2603 - 5348 - 1247 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -317004828\/120635 + 35\/24127. Let s = -2617 - n. Calculate the common denominator of (-1 - 1) + 1\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 41. Let u be -3 + 2 + 2\/(-1). Let i be 9\/2*(-2)\/u. Sort -11, 5, d, i in descending order.\nAnswer: 5, d, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-5)))\/v**(-1\/3)*v**(-6\/5)*v*v*v**(-5)*v assuming v is positive.\nAnswer: v**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9) + (6 - (-7 + 0 - -23)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o - 1. Let k(y) = -7*y**2 + 11*y - 6. Let z(b) = -15*b**2 + 23*b - 12. Let h(j) = 7*k(j) - 3*z(j). Determine -6*c(v) + h(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(4\/9))\/x*x**(1\/3)*(x\/x**4)\/(x*(x\/(x*x\/(x\/(x*((x*x**(3\/8))\/x)\/x))))\/x) assuming x is positive.\nAnswer: x**(-133\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3 = 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 13, r: 1}. Give prob of picking 2 r and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991 = -3*v - 166. Let p = -137 + 247. Calculate the greatest common divisor of v and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 22086470 in decreasing order.\nAnswer: 22086470, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 3. Let t be g(-5). Let p = t - 73. Let y be (1220000\/2)\/(5\/p). What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 1:58 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -579 + 604. Let v be (h\/(-9)*-3)\/(4\/469920). Round v to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -61. Let n = -31 - m. Is 3 a factor of 369\/12 + (-2)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 181. Solve z*d - 3*t - 28 = 0, -6*d = -7*d - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -156. Let r be 20\/3*f\/30. Let a be (r - 0) + (-3 - (-3 - -2)). Solve -v + 4*v + 12 = 0, 2*l + a = -2*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4 - 5*c + c**3 - 2*c**2 + 9*c**2 - 1. Let n(y) be the second derivative of 2\/3*y**4 - 3*y**2 + 0 - y**3 + 3*y + 1\/20*y**5. What is 6*h(t) - 5*n(t)?\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5664)\/4224 + 1\/11 - (-22)\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 1, t: 1, v: 1, f: 1, n: 1}. Give prob of sequence nft.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -99.254. What is p rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**2 + 2. Let t(r) be the third derivative of r**7\/2520 - 3*r**5\/5 + 34*r**2. Let i(z) be the third derivative of t(z). What is g(i(q))?\nAnswer: 44*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(245) + -3*sqrt(245)*2 + -3*(-1 + sqrt(245)) + sqrt(245).\nAnswer: -49*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 + 65848355*d + 329241650 = 0. Calculate d.\nAnswer: -13169666, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 63*s - 42*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 - 6*u - 4. Let m be g(-1). Is 5\/(m - 138\/72) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (312\/(-32))\/(1*567\/(-168))*45\/(-6)\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146 a factor of 281924022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 148*k.\nAnswer: -4*k*(k + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295\/72 - -38\/9. Let m = -5.14 + 6.14. Let h be 3\/9 - 2\/(-6). Which is the nearest to m? (a) h (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 11:30 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*b - 220743 + 236980 = 1750*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:20 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/19, 3, 4, 272, -116?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 229 = -2*o - 7*m, -4*m = 20. Let i = o + 112. Solve -5*l = -0*f + 2*f + 3, -23 = -3*l + i*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-15))\/(-2 - (-124)\/60). Let b(i) = 3*i**2 - 15*i - 1. What are the prime factors of b(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3453*m**3 - 489*m**2 + 489*m**2)*(1 + 55*m + 2*m**2 - 55*m).\nAnswer: 6906*m**5 + 3453*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 22*b + 46. Give t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7703*s + 4621806. What is g(-600)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (199 - 310 + 254)*(-3 + 8 + 4)*(1 + 1 + 0)*(r + 2*r - 2*r) in the form d + i*r and give i.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147250154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62842710.\nAnswer: 2, 3, 5, 7, 17, 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 + -16.3636\nAnswer: -16.3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -6. Let u = -45 + 51. Solve -3*f + 10 = -n, 5*n + l = 4*f + u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973791029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + o + 2. Let a be k(-1). Differentiate t**2 - 8 + t**2 + 3*t**2 + a*t**2 with respect to t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/4)\/((-300)\/(-200))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500757491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuchihhihcihhichuci. What is prob of picking 2 c and 2 h?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -51*j - 254. Let l be n(-5). Suppose 0 = 4*g - 3*g + 8. Is 3 a factor of (-110)\/g - l\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 7 - 51. Let r(m) = -2 + 1 + 2*m**2 + 2*m**2. Let a(p) be the first derivative of 7*p**3 - 5*p - 3. Calculate y*r(j) + 2*a(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34885 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38917\/10 - -3897. Find the common denominator of g and 13\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 9:18 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o - 23*o - 267*o.\nAnswer: -229*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 952, 1916, 2882, 3850, 4820?\nAnswer: 5792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -7*t**5\/20 + t**4\/4 + t**3\/2 - 515*t + 3. What is n(-2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 4*x + 3. Let z(v) = 11*v + 171. Let q be z(-16). Let c(p) = -8*p**2 + 5*p - 3. What is q*j(a) - 4*c(a)?\nAnswer: -3*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907831 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (-5 + 3 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/34 and -41\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 35. Let c(y) = -y - 3. Suppose 4*q - 5*g - 48 + 12 = 0, -g = q - 9. Calculate the smallest common multiple of q and c(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjtjtjcjktjjjtj. Give prob of sequence jcck.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14106105665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3784899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-487 + 150*i + 487)*(3*i**4 - 2*i**4 - 2*i**4).\nAnswer: -150*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yooooyoyyyyyooooryyo. What is prob of sequence oor?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -2\/19 (c) -1\/6 (d) 0 (e) 4 (f) -3 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 8*g - 93*g = -712. Put 36, 4, g in decreasing order.\nAnswer: 36, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*h - 0*h + 22, -q + 6 = h. Solve -6 + 16 = h*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1825\/(-146)*120\/175\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)\/j**(-1\/36))**(4\/5) assuming j is positive.\nAnswer: j**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 168 + 160 + 170 - 644 + 166 + 7*h. What is a(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:48 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173.2 - 4.2. Let z = -169.0138 + m. What is z rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901.\nAnswer: 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (33 - 39).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, p: 3}. What is prob of sequence pnpp?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 2*q + 4. What is the units digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 4389412*x\/7 - 4389410\/7.\nAnswer: -2*(x + 1)*(x + 2194705)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 8. Let b be y(5). Suppose -2*j + 1 = -b. Suppose 0*l = -l + j. Solve -q + 6 = l*q, 3*q = 5*v + 31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -25. Let u = -12 + k. Suppose -q - 2*h = h - 49, 4*h - 212 = -u*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:46 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 521 + -283. Which is greater: m or 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*w - 26*w + 15. Suppose 2*c - 5*k + 110 = 7*c, c - k = 18. Suppose -c = -4*f, 5*u + w*f - 1005 = 2*f. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 4462 - 20204 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50869378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -6*k + 187. What is the remainder when k is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q**3 - 36*q**2 - 24*q + 16.\nAnswer: -2*(q + 2)**2*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -211, -978, -2535, -5146, -9075?\nAnswer: -14586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1120820059?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11689 - 46755\/4. Let m = -3\/25 - 13\/100. Which is the nearest to h? (a) 1\/3 (b) 0.6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 11. Let p = 17 + 20. Suppose -n - 4*m = -p, -n + 0*m - m = -22. Calculate the remainder when w is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 30908992.\nAnswer: -61817984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32522 is divided by 10547.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by (22 + -6)*(5\/4)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 81 = 0. Suppose -36 = 4*u - 8*u. Calculate the greatest common factor of u and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -406, -621, -846, -1087?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h + 32 = 0. Let x be (13\/(-2))\/(1\/h). Suppose -3*g + 5*w + 27 = -17, g - 5*w = 18. Calculate the highest common factor of g and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/3 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(11) + 3 + sqrt(1331))*-3)**2.\nAnswer: 5832*sqrt(11) + 129033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -169 (b) 0.4 (c) -2\/3 (d) 4 (e) -49\/2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 6. Let h(q) = -5*q + 5. Let u(d) = -5*h(d) + 4*s(d). Let n(r) = -r**2 + 25*r - 21. Let f be n(24). Is 2 a factor of u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 505*i**3 - 675*i**2 - 31185*i.\nAnswer: -5*i*(i - 99)*(i - 9)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.2 and 2992259.\nAnswer: 2992245.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -x + 119, 5*x - 6*c + c - 635 = 0. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + v + 23 - 7 = 0, -2*u - 3*v = -7. Let a(l) = -9*l**3 - l**2 + 5*l. Let m(t) = 14*t**3 + 2*t**2 - 8*t. Give u*m(h) + 8*a(h).\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 10. Let w be m(6). Solve w*p + 6 = -2*b - 0*b, 0 = 3*b + p + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/20180 and 36\/261331?\nAnswer: 5226620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let k(y) = 6*y + 2. Let i(p) = -k(p) + 3*x(p). Let o be i(-4). Suppose -10 = -v + o. Solve -5*z = -3*c + 15, 7*c - 3*c = -3*z + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**4\/24 - 5*k**3\/3 + 2*k**2. Let g(i) = i**3 - 3*i**2 - 85*i - 33. Let h be g(11). Give t(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-5))\/((-6)\/30). Suppose -2*y + 5*w - k*w + 24 = 0, -4*y + 4*w + 44 = 0. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*w**5 + 33977*w**4 + 974790*w**3 + 3469195*w**2 + 2548586*w + 20328 = 0. What is w?\nAnswer: -242, -28, -3, -1, -1\/124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:45 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(2\/75)\/(f\/(f\/(f*f**5*f))*f\/(f*f*f**(-1)))*(f**(1\/2)\/f**(-2))**(-3) assuming f is positive.\nAnswer: f**(-2179\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/(-252))\/(1*2\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 22 - 17. Let u = 1 - o. Suppose -2*c + 12 = u*z, 3*c + z + 0*z - 16 = 0. Solve 1 = -3*k - c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1177677*f**3 + 4*f**2 + 23*f + 124?\nAnswer: -7066062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/726)\/((-2)\/6)*-11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332557 is divided by 332377?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 107. Suppose s - 6*f - 120 = -f, 0 = x*f + 2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + l = -0*l + 12, -b - 2*l = -9. Let t(c) be the third derivative of -c**4\/24 - 7*c**3\/6 - 4*c**2. Let o(y) = -y - 10. What is b*o(n) - 7*t(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1728 and 37\/2349.\nAnswer: 150336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7756.8 + 7757. What is the biggest value in 0.1, -0.3, g, -4, 25\/6?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16456 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b. Let a be o(-1). Let s(q) = 2*q + 0 + q - 2 - q**a. Let z(c) = 2*c**2 - 4*c + 3. Give -4*s(y) - 3*z(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Sort -1, h, 4 in descending order.\nAnswer: h, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000275979177 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/2, -10, -0.2, -4.\nAnswer: -10, -4, -1\/2, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*d + d**3 - 2*d**2 - 173*d + 0*d**3 as o + j*d**3 + n*d**2 + g*d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = 24. Let x = h + -3. Suppose 8*i - x*i = -4*j + 41, -4*i + 58 = 5*j. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2275, -4915, -16897, -33671, -55237, -81595?\nAnswer: -112745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -11, -75, -193, -383?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p - 33*p = -b - 17, -4*b = 20. What is the remainder when 1925 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8491245 by -1139.\nAnswer: 7455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 3*z**2 - 18 + 3*z**2 - 10*z**3 - 1029*z.\nAnswer: -z**3 - 1029*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101117 or -202233\/2?\nAnswer: -101117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*h**3 - 63*a**3*h**2 - 24*a**3*h - 1121*a**2*h**2 + a*h**3 + 2*a wrt a?\nAnswer: -6*h**3 - 378*h**2 - 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18846 by 9.\nAnswer: -2094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(208) + (-1*sqrt(208) - sqrt(208)))*-4)**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 6*r - 9. Let d be q(-7). Let o(a) = -a**3 - 17*a**2 - 25*a - 48. Calculate the remainder when o(d) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8249155 divided by 5.\nAnswer: -1649831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19339 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -819 + 819. Solve 3*l = l - 4, 2*t - 5*l - 8 = b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -32. Let u be (3\/f)\/(3\/5). Let a = 0.5 - 0.1. What is the nearest to u in 1, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) -12 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 4, -4, 147, -1 in descending order.\nAnswer: 147, 12, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let n(b) = -1411177*b**2 + 3*b. Calculate n(s(i)).\nAnswer: -12700593*i**4 - 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 12 + -22 + 13\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -86, 2, -6306, 20, 4, -5.\nAnswer: -6306, -86, -5, 2, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1850)\/(-2960) + 1685\/120?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 14 = -54. Suppose 5*f = -5, t - 2*f - l = -t. Suppose 0 = -4*x - 8, -5*x + 17 - 2 = 5*b. Solve 2*o - b = t*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-78) - (-24 - 730\/(-30)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 6*d + 7. Let u(g) = -g**2 - 4*g + 8. Determine -3*o(i) + 4*u(i).\nAnswer: 2*i**2 + 2*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057404035 to 7 dps.\nAnswer: -0.000574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -3.49 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16007, 65905, 149685, 267341, 418867, 604257?\n\"Answer: -g**3 + 16947*g**2 - 936*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*c = 89 + 59, -250 = -3*p - 4*c. Let f = p + -52. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 31*j**2. Let w(i) = -i - 2. Let y(h) = 5*h + 11. Let a be ((-92)\/(-69))\/(2\/(-3)). Let k(z) = a*y(z) - 11*w(z). Give k(c(t)).\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 500*h**3.\nAnswer: -4*h**3*(h + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7899952 months in millennia?\nAnswer: 0.0002324996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -56*h + 287. What is the smallest common multiple of 258 and h?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5542 - 5194. Which is the closest to 0? (a) 1 (b) 2\/7 (c) m (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(15\/7))**(-29) assuming r is positive.\nAnswer: r**(-435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*w**3 + 10408*w**2 - 10408*w**2.\nAnswer: -61*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s, -3*i + 135 = s + 3*s. What is the greatest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:52 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4158579*i**2 + 8358352 wrt i?\nAnswer: 8317158*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 7*g + 32. Calculate s(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -258580?\nAnswer: 258583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 649695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 2*c**3 + 2*c**3 + (-5*c - c - 5*c**2 + 3*c**2)*(-3*c - c + 2*c).\nAnswer: 5*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1387)\/(-38) - 2340\/312\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)\/z*z**(-9)\/z)\/(z\/z**(1\/2))**(-4\/7) assuming z is positive.\nAnswer: z**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:43 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-35) + 4\/14. Suppose 3*v + 4*b = 0, 0 = -r*v - 5*v - 5*b + 5. Suppose v = p + p. Solve p*u = 4*f, -3*u + 0*u = 5*f - 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.058+495.4899177408\nAnswer: 495.5479177408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**7\/p*p))\/p**(-5))\/(((p\/p**12)\/p)\/(p\/(p**(-1\/5)*p))))**(-1\/25) assuming p is positive.\nAnswer: p**(-56\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40515 and 96360?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854118 < 3854119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(627)\/(sqrt(11) - sqrt(110)\/sqrt(90)))\/(sqrt(192)*2 + sqrt(3) + sqrt(24)\/(sqrt(32)\/sqrt(4) + sqrt(8))).\nAnswer: 3*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 17. Let z(j) = -2*j + 9. Calculate -4*r(n) + 7*z(n).\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 106819728.\nAnswer: 106819728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11387566, 11387563, 11387560?\nAnswer: 11387557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*v**2 + 284*v**2 + 167*v**2.\nAnswer: 518*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4*y = 35. Let k be (3 + y)\/5 - 102. Round k to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1931255833 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (0 - 0) - (3 - -6)) + (1389 - 1436)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -14*u + 0 + 0. Let q(x) be the second derivative of -x**3\/3 + x. Give q(t(f)).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/36*12\/(-2))\/(6\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1767 = 2*o - 7*o + 5*l + 1772, 6*o = -l - 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2995466219?\nAnswer: 22859, 131041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33506 (base 9) to base 8.\nAnswer: -53411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 503340 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, u: 2}. What is prob of picking 2 w and 1 u?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/931 and -17\/798.\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6*(-7)\/(-42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/56*(-6)\/(-63)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*d - d**2 + 2*d**2 + 45*d)*(4*d - 3*d - 2*d).\nAnswer: -d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 49*x**2 + 560*x + 59. Let t be n(-31). What is the second smallest value in 0.73, t, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2737 + 860. Which is smaller: -1874 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/(-306))\/((-2)\/9)*-8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 566400 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d - 16 = 3*w, 5*w = -d + 8. Solve c = f + d, -7*c = -4*f - 2*c - 37 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1626768 and 2169024?\nAnswer: 6507072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.003, 3310\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.071 and -0.06?\nAnswer: 0.00426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 293*f**2 - 929*f**2 - 48 + 306*f**2 + 310*f**2 in the form p*f + l*f**2 + k and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((-9)\/12)\/((-6)\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -833\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2 + 6*f**3 - 5*f + 2*f - 4*f + 3*f = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 5}. What is prob of sequence tts?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147\/68 + -1481\/748. Sort n, -1\/5, -0.1, -10, -9 in increasing order.\nAnswer: -10, -9, -1\/5, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 34*u - 108, s + s = -4*u - 0*u + 36 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660188 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(2\/(-18)*10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22302 and 13806.\nAnswer: 289926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.68701 - -88.30801. Let u = 87.025341 - r. Let k = u - -0.596. Round k to five decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14562913*y**3 + 7146*y**2 + 20 wrt y.\nAnswer: 87377478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:05 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57859?\nAnswer: 57859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 42*j**2 - 4999*j + 132. Calculate the remainder when 1869 is divided by x(119).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579995626 to the power of 1\/2, to the nearest integer?\nAnswer: 24083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11170)\/(-870))\/((-7)\/3). Let c = -39\/7 - g. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -78157?\nAnswer: 78144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*z - y, 0 = -2*z + y - 3 + 17. Let n be (1 - 3) + (142 - 0). Suppose -n = -5*g + 140. Calculate the highest common factor of z and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*s - 37 + 193 = 2*s, -215 = 17*y - 14*y + 10*s for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 5, -147?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 26*o + 236. Let s be (40\/o)\/(15\/(-3)). Factor 3\/8 + 1\/8*z**2 + s*z.\nAnswer: (z + 1)*(z + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3146 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -5 (c) -4103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 8.14, -1\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v + 14. Let n(q) = -25*q + 27. Let s(b) = 9*c(b) - 4*n(b). Let d(i) = -6. Determine 7*d(y) + 2*s(y).\nAnswer: 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011871*-0.118.\nAnswer: -0.001400778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -127668*b + 992953?\nAnswer: -127668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -147. Let p = 25 - j. What are the prime factors of p\/1*(-5)\/10?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 747, 1452, 2157, 2862?\n\"Answer: 705*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 152 = 32 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 535, -5, 276039 in decreasing order.\nAnswer: 276039, 535, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633536 + j + 316661 + 316647.\nAnswer: j - 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 10*p + 10. Let j(z) = 2*z**2 + 6*z + 6. Let g(d) = 5*j(d) - 3*n(d). Let a(i) = -374*i. Determine g(a(v)).\nAnswer: 139876*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttththtttthttth. What is prob of sequence htht?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9210250.\nAnswer: 2, 5, 7, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*c + 5747, 3*k = 8*k + c - 28735. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 - -4144. What are the prime factors of w?\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132766370 rounded to the nearest one hundred thousand?\nAnswer: 4132800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -17 - (1 + 3 - 3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630.841 minutes in seconds?\nAnswer: 517850.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 135794*h - 135796.\nAnswer: 2*(h - 67898)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116*r*y**3 + 11*r*y**2 + 279*r - 3*y**2 + 80 wrt y?\nAnswer: 348*r*y**2 + 22*r*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 3\/4 (b) 5 (c) -0.4 (d) -4\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/6*6*-5. Suppose -5*f + 642 = s, -2*f + m + 195 = -4*s. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 3\/11 (c) 5 (d) -0.0778\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 10:09 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26610 and 6742290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.6. Let n = -0.15 - 0.05. Which is the nearest to n? (a) 5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84607 or -84605?\nAnswer: -84605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 + (14 - (41 + -25 + 8)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -l - 116012, -3*l + 144998 = -12*h + 7*h. Let o be -10 - h\/2821 - (-2)\/(-7). Are o and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 9*d**2 + 21*d + 11. What is l(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -6741, 3 in ascending order.\nAnswer: -6741, -54, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 44. Let o(c) = -2*c**3 - 135*c**2 + 72*c + 280. Let x be o(-68). Put x, p, -4 in decreasing order.\nAnswer: x, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 4*m**2 - 2*m - 1. Let q be f(-3). Let g be 121\/44 - 6\/2. Which is the closest to 1\/3? (a) 3 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.38 (b) 6 (c) 2 (d) 0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 16*c + 5. Let j be q(-7). Suppose -j = -3*g - 16. Suppose 7 = -2*a + 5*o, -a + 2*o + g = 3. Solve -n + 15 = -a*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*u + 20*u + 105*u to the form f + q*u and give q.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 95 - 196 + 5*m + 100 - 2*m - m**3 - 2*m. Let d(p) = 9*p**3 - 6*p + 3. What is -4*a(i) - d(i)?\nAnswer: -5*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422166977?\nAnswer: 2422166977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:32 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, 5, -3 in decreasing order.\nAnswer: 5, 1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-13)\/(-156)*12\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-12)*(-3670)\/12. Let i = 229 + n. Suppose -3*x - 3*f = -18, 4*x - x - f - 6 = 0. What is the third smallest value in x, i, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -4865.901\nAnswer: 1946.3604","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:43 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*u + 143*u + 131*u + 705 = 0 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29081*f + 29077*f + 36 = -3*s, 1 - 46 = s + 5*s + f for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 12*l - 6. Let f be o(-13). Suppose 5*n + f = 32. What is the remainder when 25 + n\/(-3 + -2) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125333761 to the nearest integer?\nAnswer: 11195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2281 - -3801. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1. Let m be f(1). Let q(n) = -n**3 + 49*n**2 + 263*n - 5563. Let v be q(52). Put 0, v, -77, m in descending order.\nAnswer: v, 0, m, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 + 27 = 6*u. Let n be 0\/(-5) + 3 - -10. Let l = n - -15. What is the highest common factor of l and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 35 = -114. What is the remainder when 394 is divided by v?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/(-783))\/((-2)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*c**3 + 222*c**3 + 234*c**3 + 221*c**3 + 196*c**3 - 1106*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + 0 + 3356*q**2 + 0 - 3345*q**2 in the form u*q + n + o*q**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51606 - -89211. List the prime factors of r.\nAnswer: 3, 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888*c**3 - 2770*c**3 + 3653*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 28 = 28*p - 24*p, -3*p = 16*v - 76 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 10 = 94. Is -14902*((-1)\/w)\/((-14)\/21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/5 + 1212*y**4 + 72378*y**3\/5 + 36084*y**2 - 120705*y - 451800 = 0.\nAnswer: -2008, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -i, 8 = 2*v + 3*i - 5. Find the common denominator of (556\/(-396) + (-4)\/(-22))\/v and -21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + 1 + sqrt(108))**2 - (-2 + (sqrt(108) + 1*sqrt(108))**2)).\nAnswer: -1224 - 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 5*h + 1. Calculate the remainder when s(6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27355705049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 633\/(-6)*(-10)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let c(t) = 1365*t + 73 - 60 + 266 + 1084*t. Let n be (-3)\/3 + -2 + 282. Let o(r) = 35*r + 4. Let p(s) = n*o(s) - 4*c(s). Calculate p(g(l)).\nAnswer: 62*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(252) - (-3*sqrt(252))**2*6) + ((sqrt(252) + -2 + 4)**2 - sqrt(252)).\nAnswer: -13348 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -10*((-48)\/10)\/6 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 300*g**2 + 585*g - 290.\nAnswer: 5*(g - 58)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9003089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2 + (4 + 1 - 4)*(1 + 1 - 4))*(-85*r + 172*r - 14 - 89*r).\nAnswer: 10*r + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 4*b**2 + 4*b**2 + b**2 + b**2 - 3*b**2 + (b - 4*b + 5*b)*(3*b - 2*b - 3*b) + 26 + 11*b**2 - 26 to y*b**2 + a + m*b and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1 (c) -412 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + g + 3 + (-913*g - 1425223 + 1425223)*(-5 + 2 + 4) to z + p*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -43616 divided by -26\nAnswer: 21808\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-214*h + 2256 - 2256)*(0 - 3 + 2 + (1 + 2 - 1)*(-3 + 0 + 4) + 14 - 6 + 2) to the form d*h + b and give d.\nAnswer: -2354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 2\/3*d**3 + 0 - 2*d**2 + 78*d. Calculate j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2587\/195 + -13)*(-10)\/(-4). Let q be (-48)\/(-18) - (0 + 2). Find s, given that -i*s**2 + q*s + 4\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 156. Let u(r) = -5*r - 364. Let b(o) = 7*n(o) - 3*u(o). Let v(x) = -456*x. Give v(b(h)).\nAnswer: -456*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032123334 (base 5) in base 15?\nAnswer: -2ddc99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1277 + -1273. Suppose -4*t - 29 = -5*j - t, j - p*t - 16 = 0. Suppose 0*s - 3*s = -4*r + 26, -4*s - 8 = 0. Solve -r = -5*a + j*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1143100)\/(-1130036) + 4\/(-346)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815941729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17461 is divided by 416?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/15 - 6678368*s\/3 + 11130610 = 0.\nAnswer: 5, 16695915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1443 - -1453. Solve -40 = 5*q - 5*a, -2*a + j = -5*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 14*u + 8*u. Let t(p) = -2*p**2 - 4*p - 8. Let m(s) = s**2 + s + 2. Let c(y) = 4*m(y) + t(y). What is b(c(n))?\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 712.8438 centuries?\nAnswer: 71.28438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*b - 218*b + 470 = -482*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 533935551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - -181*(-5 + 4). Let k = c - -193. Solve -3*j - k + 12 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2215 - -4564. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b11971 + -2?\nAnswer: b1196e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o**4\/4 + 140295*o**3\/4 - 189783*o**2 + 303831*o - 151956 = 0. Calculate o.\nAnswer: -1876, 6\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -1\/3, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00149661 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -812000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135208 by -2.\nAnswer: -67604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 30\/705 - (-9 + (-13242)\/(-282)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 75*c - 19*c - 25*c + 3 - 24*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -3 + sqrt(704) + -2)**2 + -5.\nAnswer: -672*sqrt(11) + 4513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-44)\/(-12))\/((-1)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2725, 3 in ascending order.\nAnswer: -2725, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 7\/130*b**5 - 3\/13*b**2 + 29\/78*b**4 - 2\/65*b**6 + 67*b + 1\/3*b**3 - 2. Suppose g(n) = 0. What is n?\nAnswer: -1, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-125)\/(-3))\/((-22)\/(-198)). Suppose -7*y - 4*u - 377 = -10*y, -3*u - p = -3*y. List the prime factors of y.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from fqqqqf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdde when four letters picked without replacement from {u: 1, f: 1, e: 1, d: 6, a: 11}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8662.554ug in milligrams?\nAnswer: 8.662554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 872 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 7*x**3 + 172*x - 172*x.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16245183 - 689.269\nAnswer: -16245872.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**3\/3 - c**2\/2 - c. Let f be n(4). Suppose f*t - 35 = 2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -2 - -1) + (13 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + -151 + 62 + 74.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 57157928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8157 - 8157 - 17*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k - 10*k**2 + 1 + 4 - 46*k + 99*k - 80*k**2.\nAnswer: -90*k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501193511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 5\/2, 5, -0.4 in descending order.\nAnswer: 24, 5, 5\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9599.411 years in millennia?\nAnswer: 9.599411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2735*b + 1985*b + 2943*b - 826*b - 1529*b.\nAnswer: 5308*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*x - 5, 2*p = 2*x - 0*x + 20. Suppose -p - 31 = -12*h. Solve -i - 2 - h = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218654 and 190548?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7825662 divided by 33443.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -2*r + 3*o, 5*r = -3*o - 19. Let l = 3 + r. Calculate the least common multiple of (11*1)\/(0 - -1) and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 334 (b) -1 (c) -448076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -0.05, 5, -192, 1\/5 in decreasing order.\nAnswer: 5, 3, 1\/5, -0.05, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39179536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1368?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1132124 (base 6) to base 13\nAnswer: -209c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rys when three letters picked without replacement from rrryrsss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let x be (-15)\/(-6) - (7 + (-46)\/4). Let u be -2 + 5 - (1 - x). Solve 3*s + i = -u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25155.728 + -25276. Let u = c + 0.272. Let z = u - -120.00051. Round z to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-12\/11)))\/(d\/((d\/d**(-13))\/d)))**(-32) assuming d is positive.\nAnswer: d**(-4256\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u + 33 = 0. Let l(m) be the third derivative of -m**4\/12 - 7*m**3\/3 + 5*m**2 - 1. Calculate l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 26*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/84*7\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b1 - 2?\nAnswer: -6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5883, 9858, 11919, 12060, 10275, 6558?\n\"Answer: -t**3 - 951*t**2 + 6835*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 19 + 25 = 0. Solve 4*q - 4*p = -12, 5*p = -u*q - 3*q + 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-4 + 45\/10). Suppose 4*j + 0*d - 2640012 = 3*d, 0 = -2*j + b*d + 1320012. What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 26. Suppose 5*z = 35 - l. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-6)*0\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*v + 1068*v = 1176 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 + 13*k - 9. Let s(i) = i**2 - i - 1. Let j(q) = f(q) - s(q). Determine u, given that j(u) = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 2\/(-11) + (-148)\/(-66)*9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:26 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 432 = -4*t, -3*t - 2*f + 324 = f. Let j = -29 + t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -4*y**2 - 1\/105*y**7 + 1\/30*y**5 - 1\/168*y**8 + 1\/60*y**6 + 0 + 0*y**4 + 0*y + 0*y**3. Factor m(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 700665365 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 2816 + 2516 = 0. Sort 4, -2, b in decreasing order.\nAnswer: b, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18 + 0.02. Let r = 1.89 - -0.11. Put r, h, 4 in increasing order.\nAnswer: h, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26988716 and 1246.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 15. Suppose -5*h = -5*s + 3*s - 2972, -o*h = -s - 1783. Suppose 4*j + 7*j - h = 0. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/8 + -2 + (-477)\/(-24). Calculate the greatest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 5448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-37.9.\nAnswer: -75.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 354, 366, 378, 390?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -479948760 divided by 444397?\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b + 13. Let f(n) = -4*n - 8. Let l(z) = 5*z + 9. Let i(c) = 3*f(c) + 2*l(c). Let x(u) = 5*i(u) + 2*m(u). Determine x(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 - 33*m**2 - 851*m - 8. Let r(v) = -2*v**3 - 25*v**2 - 850*v - 6. What is 3*b(o) - 4*r(o)?\nAnswer: -o**3 + o**2 + 847*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 745*o**4\/6 - 12607*o**3\/6 - 3185*o. What is the second derivative of d(m) wrt m?\nAnswer: 2980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 105 - 105. What is the first derivative of -15*g - 28 - 13 + x*g - 4 wrt g?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*1*2\/(-33). Let b(n) = -n**3 + 4*n**2 - 2*n + 7. Let x be b(4). What is the closest to -1\/4 in x, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5277 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (-2*sqrt(14))\/sqrt(2) + sqrt(70)\/(sqrt(10)*1) - (-6*(-2 + sqrt(7) - sqrt(7))**2 + -3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 + -5. Suppose -s + 6*s - p = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612759641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11)*3 + 0 + 0.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7 - 1 = 0. Is 11 a factor of (3 - 5)\/(t\/198)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + w = -24, w + 3*w - 9 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (87\/(-58))\/(-2 + (-10)\/(-4)). Let c be (0 - (-3)\/m)\/((-15)\/(-75)). What is the smallest value in c, 0.1, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100001000000 (base 2) to base 12.\nAnswer: 1a680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.101 - 161.101. Let w = l - -157. What is the second smallest value in 61, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 177, 190, 219, 270, 349?\n\"Answer: k**3 + 2*k**2 + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/18096 and 37\/78624?\nAnswer: 2280096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*7\/(63\/6). Find the second derivative of 59*m**4 + 9*m**5 + 6*m**5 + 26*m - 59*m**j wrt m.\nAnswer: 300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -203010 and 108.2.\nAnswer: -21965682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {z: 4, j: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4398657350.\nAnswer: 2, 5, 17, 5174891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000263 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - y + 9 = 0, 165*b = 160*b - 2*y. Suppose 6 = -5*s + 2*f, -5*s - f + 2 = -1. Suppose 6 = 3*j - s. Put 3, j, -5, b in ascending order.\nAnswer: -5, b, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 46*z - 45*z - 50137, -3*x = 15. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x - 25 = 0. Let g(w) = -5*w**2 + 3*w - 8. Let n(h) = -14*h**2 + 8*h - 23. Let z(l) = -17*g(l) + 6*n(l). Give z(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:47 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 63*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 4, f: 2, b: 4}. Give prob of picking 3 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15664 - 15664.0000074455. Round h to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 315, 486, 513, 390, 111?\n\"Answer: -u**3 - 66*u**2 + 376*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 11*r**2 + 16*r + 10. Let h be w(-10). Let b = 83 + h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 26*o + 12 + 2 to h*o + d and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*v - 125385 = -1158*v - 1175*v for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (sqrt(252) + 0 - sqrt(252)))**2 + sqrt(252))*5*-1.\nAnswer: -1260 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 390.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 6, s: 1, j: 6, c: 6}. What is prob of sequence yj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 7*d = 4*d + 10, -5*d = -i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 + y**3 + 2*y**2\/3.\nAnswer: y**2*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19d6c5 (base 14) to base 6\nAnswer: 31421553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -257158, -257159, -257160, -257161, -257162, -257163?\n\"Answer: -m - 257157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s - 625 + 676. Put s, 34, 0, -5 in increasing order.\nAnswer: -5, 0, s, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5098 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiuj when four letters picked without replacement from viuuurruuvujuruuur.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(1\/6)\/y))*y*y**5*y)\/((y\/y**(-1\/7))\/y)**(-3\/20) assuming y is positive.\nAnswer: y**(2599\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47111 is divided by 6916?\nAnswer: 5615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190799686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742 a factor of 60125130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p + 10. Is j(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*d - 6, -177 - 168 - 177 = d - 3*q - 512 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(((-2544)\/32)\/(-159))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*j - 2 + 0 = 0, -7 = 5*o - j. Let c = 3 - 14. List the prime factors of (-6)\/12 + c\/o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5406 + 5406. What is the third biggest value in g, 0.2, -32, 1, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/2 - (-82 + 76). Let k(p) be the third derivative of 0*p + 0 - 8\/3*p**3 + 1\/5*p**5 + 4*p**h + 0*p**4 - 1\/30*p**6. Suppose k(f) = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*v = 1, 32*i - 34*i + v = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9672 or -9170?\nAnswer: 9672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-18)*(3 + 1). Let -2\/9*r + 4\/9*r**2 - f*r**3 + 0 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -19. Suppose f*b - 3*i = 3 - 0, 3*i = 4*b. Calculate the remainder when 3 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((330\/(-297))\/((-4)\/(-36)))\/(2\/4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23373104 divided by -16322.\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x*x*x\/x**(9\/5))\/x*x**(2\/35)*x)\/(x\/(x**(-3\/8)*x)*x*x**7) assuming x is positive.\nAnswer: x**(-1433\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 25\/4. Put -1\/2, 1, o, 2\/7 in descending order.\nAnswer: 1, 2\/7, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0145 + -0.3145. Which is the closest to -0.3? (a) 2\/5 (b) 0.1 (c) h (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 175, -1, -2 in increasing order.\nAnswer: -17, -2, -1, 4, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 48 = -4*g, -2*n + 511*g + 37 = 514*g. Factor -24\/11*w**n + 10\/11*w + 4\/11.\nAnswer: -2*(3*w - 2)*(4*w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 f when three letters picked without replacement from syyfyyf.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 14, x: 5}. What is prob of sequence xxn?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(-1 + 2 + 0) + 2 - 2 + 1 + 0 - 1 + 3)*(234 + 77 + 2)*(3*g**4 + 3*g**2 - 3*g**2).\nAnswer: 3756*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 764312011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -d636c (base 15) in base 9?\nAnswer: -1244553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/5 + 46\/45. Solve 4\/9*w + c + 2\/9*w**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323243685 and 17415?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-12)\/(-9)*-1*(-23)\/(-782)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/66)*b)\/b*b)**15 assuming b is positive.\nAnswer: b**(665\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13442 and 1690.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -72. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:35 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/152469 and -68\/9.\nAnswer: 152469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1821 + 19145*l**2 + 935 + 888 in the form z*l + i*l**2 + d and give i.\nAnswer: 19145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 9*g**2 + 3. Let w be v(-9). Suppose 0 = 2*i - w*d - 92, -i + 92 = i - 2*d. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239*s - 1389 + 672 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 28, 4, -34\/3?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -145, -254, -329, -370, -377?\n\"Answer: 17*g**2 - 160*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 141 - s + 84.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*r = -12, b - 4*b = -4*r + 12. Suppose -2*h - 6 + 24 = b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302413 + -102?\nAnswer: 302311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13707, -27492, -41277, -55062, -68847?\n\"Answer: -13785*z + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from {m: 2, l: 7, i: 5, o: 4}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1395 by -12336.\nAnswer: 465\/4112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*sqrt(252)*-2 + -5*(0 + sqrt(252)) + sqrt(252))**2 + 2)*4.\nAnswer: 16140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 14 + 2. What is the second derivative of 39*v**w - 39 - 33 + 109 - 36 + 85*v wrt v?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -445.684 - -448. Let l = u - 2.13. Round l to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let u(x) = 2*x - 2. Determine 4*c(s) - u(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.74 and 5.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/413 - 116\/413. Let g = -1167\/4 + 292. Let n be (10 - 153\/18)*9\/6. Which is the closest to g? (a) n (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 0*r**3 + 4*r**3 + (r**2 + 2*r**2 - r**2)*(-4*r + 2*r + 4*r) + 2*r**3 - r**3 - 3*r**3 - 3*r**3 - 3*r**3 + 4*r**3)*(115*r - 57*r + 118*r).\nAnswer: 352*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311*h + 2786*h - 97*h + 1491*h to f + x*h and give x.\nAnswer: 3869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/4)*c*(c*c**(10\/7))\/c*(c*c**(1\/2))**(-5\/11) assuming c is positive.\nAnswer: c**(461\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1913*a + 3815*a + 4128*a to s*a + j and give s.\nAnswer: 9856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o + 385 = 27*o. Sort o, 100, 3, 4.\nAnswer: 3, 4, o, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - y - 137 = 0, -2*u + 4*y + 91 = -y. Let g = -23 + u. Let j = 18 - g. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7999.5 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + b + 26 - 243)*(0*b**2 - 4*b**2 + 2*b**2 + (0*b**2 + 3*b**2 - 6*b**2)*(3 - 1 - 4) - 3*b + b**2 + 3*b).\nAnswer: 5*b**3 - 955*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose 901 = -2*g + 909. Solve 5*x - 1 = -5*k + g, z*x = 4*k - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(275).\nAnswer: 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7071.84 centuries?\nAnswer: 8486208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 15*b + 8. Let a be d(8). Suppose -3*v = 1 - a. Solve 0 = r - v*h - 1, 3*r + 6*h + 17 = h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159513260 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (35 - 0) - (-32 + -23 + 62).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**5 + 6*s**4 + 3*s**3 + 3*s**2 - 3. Let m(o) = -o**4 - o**3 - o**2 + 1. Let w(v) = -3*m(v) - z(v). Determine k, given that w(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -6 + (672\/66 - 5). What is the third smallest value in 1\/11, n, -24\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + 3*l + 1. Let n(y) = -2*y**2 + 37*y + 1728. What is the remainder when d(-3) is divided by n(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/5, 0.4, 19, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let q(x) = 11*x**2 + 2*x**2 - 1 - 15*x**2 + 30*x. Give q(h(k)).\nAnswer: -8*k**4 - 60*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2964 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 + -112. What is the second derivative of 318*j**z + 52222*j**3 - 254*j - 52222*j**3 wrt j?\nAnswer: 3816*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7719 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45196183, -90392368, -135588555, -180784744, -225980935?\n\"Answer: -b**2 - 45196182*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8455.443 litres?\nAnswer: 8455443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 - 46*q**2 + 95*q - 48 = 0. What is q?\nAnswer: -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -4*o**4\/3 + o**2\/2 + 218*o + 2. Determine h(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 157*w - 149. Calculate the remainder when z(6) is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1161?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-5\/6) assuming w is positive.\nAnswer: w**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.85 + 2.65. Let y = 12 + o. Let d = y + 12. Which is the closest to d? (a) -1 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -w + 13. Which is the closest to w? (a) 0.2 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2325, 4678, 7031, 9384, 11737?\nAnswer: 14090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose -4*v - u = -11, 3*v - u = 5*v - 7. Solve -l**2 + p*l**2 + v + 0*l**2 - 1 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, b: 1, i: 2}. What is prob of sequence me?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 315*y + 313*y - 273 = 611*y, 0 = 4*l + 3*y - 52 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/3*(3 - 4)*-3. Let k = y - 22. Suppose -m = -5*t - 4*m + 23, -29 = -k*t + 2*m. Calculate the greatest common divisor of 56 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 9:43 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a tonne in kilograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 + 25. Let o = -55 - y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1396085 = 1396120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2092 times -7\nAnswer: 14644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586794 is divided by 15046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r - 1. List the prime factors of t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -17 - z + 17. Let m(f) be the third derivative of -f**4\/12 + f**2. Determine k(m(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391*l**3*n**4 - 2*l**3 - 207*n**2 wrt n?\nAnswer: 9384*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1258a8c?\nAnswer: -1258a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.00844+-32383848313\nAnswer: -32383848313.00844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064262 to three dps.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 - 38*o\/5 + 68\/5.\nAnswer: 2*(o - 17)*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*u - 2*s, -3*u + 2*s + 3*s + 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/165583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30390112758 - -5.274\nAnswer: -30390112752.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 + 64*y + 402. Let f be r(-8). Which is smaller: 6\/47 or f?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-28)\/6)\/((-2)\/(-24)). Let o be (-2 - (2 + -4))*-1. Suppose o = j - 6*j + 40. Calculate the greatest common divisor of y and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 5 = -19*k, -l - 3*k + 29902 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 136915392, 136915391, 136915390?\nAnswer: 136915389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f - 9. Let w be q(12). Calculate the highest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2597800 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 10*m - 372. What is x(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196376*k**3 + 10*k + 19723?\nAnswer: 1178256*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -2d?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0266 - -5.4966. What is g rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 20\/8)*-2. Let r be ((-12)\/(-3) - 3) + d. Suppose 2*q + 6*n + 4 = 2*n, r*q - 2*n = 32. Solve 3*f - 3 = -q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1169.073811321 + 0.6\nAnswer: -1168.473811321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 613154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from ioooapoopohoay?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010 = 3*q + 21*p + 980, 4*q + 80 = 2*p for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -146573 + 146553 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 8*u - 3*u)*(-3*u**2 - 2*u**2 + 6*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5470836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:51 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:00 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 4*b - 1. Let k(p) = p**2 + p + 1. Suppose 3*d + 2 = -99*l + 98*l, 0 = 2*l - 14. Determine d*k(i) - m(i).\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -23. Let f = -13 - c. What is the tens digit of f - ((-3)\/3 - 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -s + 10. Let y(a) = 8*a + 8. Let q(g) be the first derivative of -7*g**2\/2 - 7*g - 2. Give s*q(f) - 6*y(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - j**2 - 7. Let p be d(-4). Let g = 180 + p. Calculate the greatest common factor of g and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z - z + z + (7*z + 3*z - 3*z)*(0 - 2 + 0) to m*z + b and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let i(x) = 450*x**2 + x. Determine i(d(a)).\nAnswer: 450*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*j = 24, -4*m = -10*j + 9*j - 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134405445 by 3345.\nAnswer: 40181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 26. Let t = y + -19.48. Round t to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*f**2 - 18\/7*f.\nAnswer: -2*f*(f + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10008?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 47*g**7\/14 + 49*g**4\/12 + g**2\/2 + 8*g - 1. Find the third derivative of f(d) wrt d.\nAnswer: 8460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 3012*d - 1.\nAnswer: -3012*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 33 = -3*a. Does 8 divide 204*a\/((-21)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 281, 426, 573, 722, 873, 1026?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + -4 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -433041570 divided by 11103630?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/(-3) - (-32)\/(-12) - (-111)\/3 and 489.\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + sqrt(98).\nAnswer: 6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330\/(-418) - (-9)\/6*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 42 in descending order.\nAnswer: 42, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4127*c + 11 = 4122*c, -2 = 2*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and (-185)\/(-3 + -2) + -1.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5916 - 5920. What is the second smallest value in 0, -2\/5, 1.6, i, -0.02?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g + 853*g + 83*g**2 - 82*g**2.\nAnswer: g**2 + 878*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**3 - 2*s + 1. Does 3 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528622080 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 45720.\nAnswer: 45720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let t(f) = 2*f + 22. Let c(x) = -5*j(x) + t(x). Let n(y) = y - 8. Let v(m) = 6*c(m) + 17*n(m). Determine v(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-336)*-21)\/((-1)\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -2, -15\/136, -4 in decreasing order.\nAnswer: -15\/136, -1\/8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0426 - 0.0426. Is x less than 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -223 - -251. Calculate the remainder when 71 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 45*m + 48 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28301 + -16232. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -198, -445, -790, -1233?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**6\/120 + w**5\/10 + 5*w**4\/12 - 15*w + 1. Find x such that l(x) = 0.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1773, 1730, 1673, 1596, 1493?\n\"Answer: -g**3 - g**2 - 33*g + 1808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4122 = -3086. Calculate the remainder when a is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*3*(-1)\/2. Suppose p*w - 3*c = -w + 64, -5*w + 80 = -3*c. Solve -w - 5 = 4*l - s, 2*l + 3*s = -7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*z - 6 - 7 - 4 + 1914*z + 4.\nAnswer: 1518*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 28?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36a9 + 2833?\nAnswer: 620c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -23. Solve -t = -m + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + (-28)\/(-8). Solve 3*c = -3*h - 6, j*h - 5*c - 6 = 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967 rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*i + 45, -o + 66 = 5*i - 3*o. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c + 11*k + 1005, -3*c + 56*k + 63*k = -55*k + 178*k + 371 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63002, -121289, -179588, -237905, -296246, -354617, -413024, -471473?\n\"Answer: -c**3 - 58280*c - 4721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.88574386 rounded to 3 decimal places?\nAnswer: -1.886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1922 divided by 18\nAnswer: -961\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44147*o + 44147*o - 176*o**5 + (-2*o**3 + 2*o**3 - 2*o**4)*(0*o + 5*o - 4*o) + (-2*o**2 + 4*o**2 + 0*o**2)*(0*o**3 + o**3 + 0*o**3).\nAnswer: -176*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p - 15694 = -450*p + 7766 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + -3*(((sqrt(363)*3 - sqrt(363)) + sqrt(363))*-1)**2 + -3).\nAnswer: -19598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + 4*v)*(v**2 + 2*v**2 - v**2) + (0 - v**2 + 0)*(-4 + v + 4) + 4*v**3 - 4*v**3 + 3*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 4.1, 15, 1\/3, -0.6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {w: 6, d: 7, y: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 = -b, -2*q - 2*b + 0 = -6. Suppose 127 + 83 = -7*h. Sort q, h, -4 in ascending order.\nAnswer: h, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = r - 10, 3*j = 6*j - r - 18. Let g(a) = 5 - j*a + 8*a - 5. Let w(x) be the third derivative of x**5\/60 + x**2. Determine g(w(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*n**2 + 0*n**4 - 1\/2*n**5 - 1\/2*n + n**3.\nAnswer: -n*(n - 1)**2*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000904166 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 1453 = -823. Suppose -2*t = -3*g - 475, 2*t = 5*g + 317 + 148. Calculate the highest common divisor of l and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24801 is divided by 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o + 79255 = 8*o. What are the prime factors of o?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15164 - -425?\nAnswer: -14436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 376690\/15718 - (-4)\/116.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277 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: What is the second derivative of 9*i + 4*i**2 - 12*i + 7*i wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 8?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + f - 2, 5*a - 6 = -3*f. Suppose 7*u - 4*u = a. Suppose k - 19 - 41 = u. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-4 - 2) + 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1686864 and 0.03?\nAnswer: -50605.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-20386159)\/(-2343) - (-6)\/(-11)) + 2\/(-6).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 251555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -38, -47, -42, -23?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = x + 2*g, -4*x + 2 = g. Let n be (-26)\/(-8) + x\/(-4). Suppose -w + 8 = n*w. Solve -v - 2*b = -5, -w*v = -5*b + 8 + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -40. Let t = n - -12. What is the nearest to t in 0.2, 5, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 9 = 5*f, 5*f + 64*k = 68*k + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/((-210)\/(-234)))\/((-1)\/(-5)). Suppose 3*a - 35 = -4*k + 47, a - k - b = 0. Calculate the highest common divisor of 1054 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4004 - 331 = -5*c, -2*c + 3*p = -1749. Let u = 1917 - c. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f + 4*i + 5718 = 0, 0 = -4*f + i + 7624. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8645, -4714, -783, 3148?\n\"Answer: 3931*q - 12576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let a(d) be the first derivative of 2*d**3\/3 + 590*d - 907. Give a(s(l)).\nAnswer: 2*l**2 + 590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 16, 21, 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 6*l**2 + 0*l - 1 - 6*l. Let j(b) = 10*b**2 - 5*b. Let i = -2 - 4. Let c(x) = i*j(x) + 5*r(x). What is the derivative of c(t) wrt t?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 79*l**2 - 124*l - 5. Does 25 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -35, -3\/4, 2, -16438, 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 3*t**2 - 2*t**2)*(21*t**2 - 7*t + 7*t) as o*t + i*t**2 + r + m*t**4 + s*t**3 and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*h + 202 = 0, -4*h + 12 + 4 = 0. Let k = l - -40. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 26*h**2 - 52*h - 942. What is n(-19)?\nAnswer: 2573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21120 (base 5) in base 8?\nAnswer: -2602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - 0?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n**2 - 12*n + 24. Let f(k) = 11*k**2 - 7*k + 14. Let z(d) = -12*f(d) + 7*w(d). Let c(r) be the first derivative of r**2 + 1. Give c(z(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -941 - 5002 = 7*z. Let j = z - -870. Calculate the highest common factor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p, 0*u = -u - 5*p - 95. Let r = u - -107. Suppose o = v, 0 - 4 = -2*v. Solve o*w = w - r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1715 + -1720. Which is the second biggest value? (a) 3 (b) j (c) -4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 + t. Let n be f(-1). Let p(z) = -3 - z + 5 - n. Let w(i) = -i. What is w(p(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (3 + 5 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1719 + 1a?\nAnswer: -16cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -4, 1936, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**5\/65 - 15*n**4\/13 - 2*n**3\/39 + 30*n**2\/13 + 628. Solve w(k) = 0 for k.\nAnswer: -1, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181544653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1192 or -0.9?\nAnswer: 1192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 28, 17, -5, 7, 2.\nAnswer: -5, 2, 5, 7, 17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 - 2*w**3 + 2*w**3 + 10*w**2 - 10*w**2 - 4*w**3 + (-w**2 + 4*w - 4*w)*(5*w - 3*w - w))*(-2 + 47 - 2) to i*w**3 + x + u*w + s*w**2 and give i.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7435614079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 223*q + 53006. Give o(-238).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**4 - 23*n**3 + 121*n**2 - 303*n + 194. Let c(l) = 3*l**4 + 48*l**3 - 241*l**2 + 607*l - 387. Let p(b) = 6*c(b) + 15*r(b). Factor p(u).\nAnswer: 3*(u - 7)**2*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 69121360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.134009 rounded to one dp?\nAnswer: 96.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (-11 - 16\/(-1)). Solve -7*m = -2*m + 3*b - 35, m + 6 = g*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89742899?\nAnswer: 127, 487, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10415, 10390, 10353, 10298, 10219?\nAnswer: 10110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**2 - 5247*n + 5247*n. Let v(g) = -7*g + 12. Give v(j(y)).\nAnswer: -77*y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 1:59 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 + 45 - 45 + 2*d to m*d**2 + k*d + j and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.843485 to two dps.\nAnswer: 153.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*p - 14 + 22 = 0, 5*m - 16 = 3*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2199263724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/27)\/(6\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1611610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 77 = -31. Let v be 34*(-2 - (-5 - -4)). Let x = 20 - v. What is the highest common factor of x and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -858 or -76?\nAnswer: -858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose 8*a = 5*a. Suppose -g + 10 = -3*h, g - 2*h + 0*h - 8 = a. Solve 8 = -p*r + 3*f - 0, r - g*f + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (2 - -7 - -4). Suppose -3*s + 0 = 3*k - x, -2*k + 18 = -4*s. Is 22\/33*(-771)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 88*y - 73*y - 229 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 11:39 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252193.\nAnswer: 252193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 13. Let d = 2.9 - 3. Let l = 1 + -1. Which is the biggest value? (a) v (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 10*o + 17. Calculate z(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 692 - 5545\/8. Calculate the common denominator of -69\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/84)\/((-12)\/(-14)). Let n = 3 - 3.2. Which is the third biggest value? (a) t (b) -0.05 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 3:03 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - i - 18 = 0, -8*p + 5*p + 15 = -2*i. What is the least common multiple of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(-2))\/o))\/(o\/o**2))\/(o**(-1))**(-2\/37) assuming o is positive.\nAnswer: o**(-2\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b - 441 = -476 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/3 and -67\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532353000 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -158.8611095525?\nAnswer: 162.8611095525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/441056 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0)**2 + 1 + sqrt(3)*5 + sqrt(3) + 4*((4 + sqrt(75))**2 + sqrt(3) + -1*sqrt(363) + sqrt(363)).\nAnswer: 170*sqrt(3) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-5))\/(20\/325). Is b less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than 20955876528985?\nAnswer: 20955876528971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90 - 52*c**5 - 23*c + 95 - 184 wrt c.\nAnswer: -1040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 = 760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*t - 40, 7 = -5*r + 2*t + 75. What is the remainder when 41 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/(3\/(-45)). Let r = f - 3. Let 2 - 2*o**r - 4*o + 4*o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000069599 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (-16 - (-37 - -6 - (28 - 22)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 24. Suppose 2*i = -3*i + 15. Let c(q) = 3*q - 4. Let t be c(i). What is the greatest common factor of p and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((0 - 147\/(-28)) + -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 148, 314, 504, 724, 980, 1278?\n\"Answer: z**3 + 6*z**2 + 141*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in 0.5, -25, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2803.2 * 0.3\nAnswer: 840.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1261.08198 to 1 dp.\nAnswer: -1261.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101000 (base 3) in base 11?\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u\/u**8)**(-9\/8) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 4*r**2 + 4*r - 8. Suppose 8 = -44*p + 46*p. Let l be i(p). Is 10 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23926 is divided by 724.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.056, -3, 965.\nAnswer: -3, 0.056, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*u - 250 = -u, a + 3*u - 266 = 0. Suppose -7*p = 6*p - a. What is the common denominator of ((-118)\/120 - (-8)\/p)\/(-2) and 47\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13549*p**2 + 2*p. Let v(i) = 1192528788*i**2 - 176033*i. Calculate 176033*b(w) + 2*v(w).\nAnswer: -13541*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 11:23 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 t when four letters picked without replacement from ljtljljljjjtjeltejjj.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 10. Let s = -3 + 12. Let m be 2\/12 + (-3)\/s. What is the closest to -0.2 in m, r, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -5 (b) 9 (c) -15339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1487*i - 15990 = -1120 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.301 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-15) + (82501\/2465 - 20\/290)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2282220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-110)*627\/(-14877)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/30 - 284*p**4\/3 - 322624*p**3\/3 + 1059*p**2. Factor f(v).\nAnswer: -2*(v + 568)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -800 + 1470. What is the remainder when 36\/(-42) + x\/14 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15*a. Let f(l) = 8*l - 4*l - 3*l. Determine f(h(w)).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838523159 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1.359, 0?\nAnswer: -1.359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 416.26 - 402. Round x to 1 dp.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 80717880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 510290.9ml?\nAnswer: 510.2909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 24*c**2 - c - 706. What is a(-24)?\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24041?\nAnswer: 29, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 8*u**2 + 4. Let j be y(8). Solve 0 = j*k + 5 - 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.892 and -3.\nAnswer: 2.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -2\/17, 0.21 in ascending order.\nAnswer: -2, -2\/17, 0.21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(1 - c - 1) + (518 - 19*c + 0*c - 519)*(-11 + 8 + 7) to the form y + t*c and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26, 47, 86, 149, 242?\n\"Answer: l**3 + 3*l**2 + 5*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 52 + -51 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 275 - 5 = 0. Solve n = 3*a + 50 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3)*((-3)\/(-1))\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*s. Suppose -6*z + 2*z + 92 = s. Solve z + 12 = -5*x + 3*m, 3*x = -2*m - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 2, u: 2}. Give prob of sequence gug.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 11. Let q be n(-4). Let h = 0 + q. Solve -h = 3*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 112946*a + 112900*a + 414, 0*o - 3*a - 45 = -2*o - 8*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-20) - 8\/5. Let q = g - -1. Let d(t) = t. Let l(u) be the first derivative of -2*u**2 - u + 1. Determine q*l(a) - 6*d(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 7*z + 3. Let h = 35 - 33. Let w be (-8 - -10)*7\/h. What is s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 - -3?\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i, 0 = -0*z - 4*z + i - 23. Let m = -2 - z. What is the units digit of (15\/(-4))\/m*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1276393\/4 + 315126. Let z = -3951 - b. Calculate the common denominator of 6*(3 - 14\/8) and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + -11 + 19. Calculate the highest common factor of 9 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**3\/6 + 64*a. Let w(t) = 0*t**2 - 2*t**2 + 0*t**2. Calculate l(w(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 8 = 5*a + 34 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 46036799655\/207 + (-1)\/3. Suppose -3*a = -4*l + 222399994, 4*a - 5*a - s = -4*l. What is l rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 4*d**7\/7 - 5*d**3\/3 - 3. What is the third derivative of v(w) wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let j(h) = 7*h**2 + 4*h + 1. Let t be j(3). Let a(y) = -2*y + t - 76. Calculate a(p(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*w + 4*j + 4, 3*w = j + 9. Suppose 3*u - w*z - 13 = 27, 2*u + 3*z = 21. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5298, -10934, -16910, -23226, -29882, -36878, -44214?\nAnswer: -51890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.1 and 2.\nAnswer: -122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9568, 9758, 9948, 10138, 10328?\n\"Answer: 190*d + 9378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146.812 - -0.188. Let x = 146.95 - v. What is the second biggest value in 0.1, 12, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 16*x + 450. Let q be (x\/(-30))\/(2\/4). Is -13\/3 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744, 743, 742, 741?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 76*m**2 + 171*m - 1231. Calculate v(78).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2675*(0 - (4 - 3)). Let w = 893 - p. What is w rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 12 + (1 + 3 - (42 + -74))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -39*f**3 - 195*f**2 + f + 3. What is k(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5349 kilometers in centimeters?\nAnswer: 653490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/((-39)\/468)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2*-5)**2.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 6*j**2 - 6*j - 6. Suppose 0 = -5*v + 2*w - 21 + 59, 6 = 3*v + 3*w. Let k(x) = 5*x**3 - 7*x**2 + 7*x + 7. Give v*k(l) + 7*c(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/2889 and -155\/97584.\nAnswer: 878256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 41*u**4 + 2*u**3 + 58. Let d(k) = -162*k**4 - 9*k**3 - 232. Let g(f) = 2*d(f) + 9*t(f). Differentiate g(r) with respect to r.\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 516 - 536. Let c(o) = 3*o + 65. What is c(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41957.21 centuries?\nAnswer: 50348652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2, -4, 1 in decreasing order.\nAnswer: 2, 1, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 29*r = 245. Let n = r + -44. Suppose n*w = 478 + 52. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-24) - 157*2\/(-4). Let m = -8 + 10. Suppose 7*b - m*b = t. Solve 0*h = -4*h - b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/15 + 2836*i**2\/5 + 2053214*i\/15.\nAnswer: -2*i*(i - 4483)*(i + 229)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 257aa2 (base 11) to base 16\nAnswer: 631ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -66426683221 and -0.31?\nAnswer: 66426683220.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.209662 decades in millennia?\nAnswer: 0.01209662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/28)\/5*(11 - -3). Solve 4 = -4*m + 3*k, m + m + g*k - 20 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 11*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g + 2. Let a be z(2). Let s(c) = c**2 + c - 1. Let x(d) = -5*d**2 + 7. Let v(u) = 6*s(u) + x(u). Give v(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s + 4. Let y be h(0). Let q(l) = 27*l - 430. Let i be q(16). Calculate the highest common divisor of i and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 bigger than -2833628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -16447562\nAnswer: -4934268.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221958158 to the nearest integer?\nAnswer: 14898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(i\/((i**13*i)\/i))\/i))\/(i*i**(-3)\/i))\/(i\/i**(-13)*i\/i**(-6)))**19 assuming i is positive.\nAnswer: i**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180 * 8311.\nAnswer: -1495980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 10022201?\nAnswer: 10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 394*y - 1597. Give k(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4)**(-1\/12)\/(i**(-3\/10)*i**(-13)))**23 assuming i is positive.\nAnswer: i**(8947\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 21*q - 60. Let f = 11 - 8. Calculate the remainder when q is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53206613 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2. Let q(v) = 1173634*v. Determine q(p(t)).\nAnswer: -2347268*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -0.01, 0.8, 1, 52, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x - 10. Give m(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 3, b: 1, p: 2}. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -576, 417, 5, 3.\nAnswer: -576, 3, 5, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 - 2*m - 5. Let k(f) = -7*f**2 - 3*f - 5. Let v(w) = 7*k(w) - 6*x(w). Let l be v(-8). Calculate the greatest common factor of l and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107837*w = 107840*w - 2*t + 117, 69 = -5*w + t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 7 = 2*t + 5*q, q = 4*t - 3. Let a(x) = 4*x**2 - 5*x + 7*x - 5 + t + 2*x**3 - 4*x**3. Give a(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7397, 14201, 21005, 27809, 34613, 41417?\nAnswer: 48221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 18*l**2 + 23*l - 18. Let k be d(17). Suppose 5*g + 126 = 2*w, -g + 3*w = -4*g - k. Let i = g + 30. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525500 a multiple of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-14)\/((-336)\/(-8)))\/((-4)\/(-78)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306916349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*c - 14, q + 2*c - 21 = 2*q. Let z = 9 + q. What is the closest to 2\/3 in 3, -2\/17, z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12*j**2 - 2*j - 1. Let z(h) = h**2. Calculate g(o) - 4*z(o).\nAnswer: 8*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + z = -194, -19*s = -20*s - 3*z + 58. What is the remainder when 1596 is divided by s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h. Suppose -2*w + w = h. Let i(v) = v + 7. What is the units digit of i(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24 - 12 - 4 - 86*q**4 + 243*q**4 + 43 wrt q?\nAnswer: 628*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exa when three letters picked without replacement from {a: 1, x: 1, v: 1, s: 2, r: 1, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/3 - 10*a**3\/3 - 2*a**2 + 6*a.\nAnswer: -2*a*(a - 1)*(a + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 722*o**3\/11 - 42370*o**2\/11 - 13434*o\/11 - 1062\/11 = 0.\nAnswer: -3\/19, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5187\/342 + 4\/(-24). Solve 59*y + 9 = r + 58*y, -3*y = f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from qqqqqqqqqrrquuqrqq?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 82180*1.4\nAnswer: 115052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -545482 - -253082. Round u to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 113. Solve y + m = -0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6*v - 94 = 5*s - 49, 3*v = 18*s + 99 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 11*w + 6. Let v be q(7). Suppose d = -l + 1, -3*d + 5*d - 23 = 5*l. Calculate the lowest common multiple of v - (3 + -9)\/3 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1302*a**3 - 652*a**3 - 652*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4a0 (base 15) to base 10\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 40.832. Let z = -0.14 - w. Let q = z + -0.02771. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 + 3*v**2 - 5*v + 9. Let x(c) = c**3 - c**2 + c - 1. What is i(d) + 3*x(d)?\nAnswer: -2*d**3 - 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 1. Let s(q) = -4*q**3 + 7*q**2 + 2*q + 2. What is 5*p(m) + s(m)?\nAnswer: m**3 + 7*m**2 + 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5087 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**3 + 399*n**2 - 8*n + 15. Let i(l) = 2*l**3 - l + 3. Calculate -6*i(u) + k(u).\nAnswer: -2*u**3 + 399*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -166 + 135 + -35 + 10 + 7\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c**2 + 2*c + 1. Let g(b) = -27*b**3 + 58*b**2 + 14*b + 7. Let a(k) = -3*g(k) + 21*v(k). Find the third derivative of a(i) wrt i.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*h + 51*h - 126*h - h**2 + 4*h**4 + 2*h**3 to the form i + s*h**2 + g*h + z*h**3 + k*h**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 69. Suppose 5*j - 95 = -r*k, 2*k + j + 53 = 4*k. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boob when four letters picked without replacement from bbbbbbbbbbbbbbboobbb.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccv when three letters picked without replacement from {v: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 = 41*n + 128 + 32 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Suppose -q = k*i - 5*q - 16, -4*i - 3*q + 23 = 0. Let w(a) = 5 - i - 2*a. Let l(f) = -6*f**2. Determine l(w(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1962 and 53\/2943?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from {b: 10, u: 1, y: 7}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 3*y - 3*y)*(6388*y - 25580*y + 6395*y - 7623 + 6395*y + 6388*y) to the form j + n*y**2 + q*y and give q.\nAnswer: 7623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -799\/9 + 89. Let g be 1\/14*(-2 + 4). Let l = 3.4 - 3. Which is the nearest to h? (a) g (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11101 is divided by 5547.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 173, 0.238?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 702\/195*20?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, s: 1, z: 4, p: 2}. What is prob of sequence rr?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 23 in decreasing order.\nAnswer: 23, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 266*x**2 + 374*x - 4. Give g(-2).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**4\/8 - 2*k**3\/3 - 23*k**2. Calculate w(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042596857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*m + 122, 3 = -m + 3*c + 37. Suppose 6*t = t + m. Let a(n) = 4 + 3 - 2*n - t. What is a(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 46 - 165*b + 171*b - 121 + 37 + 47. Determine c(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*h**2*k + 14*a**3*k**3 + 3*a**3*k - 49*h**2*k**3 - 2*h*k wrt h.\nAnswer: -2*a**3*k - 98*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*l**5 + 7131*l**4 + 7623*l**3 - 70035*l**2 + 48942*l + 6312 = 0. What is l?\nAnswer: -263, -4, -1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 - 8*u**2 - 7*u + 4. Is c(-4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 36*t + 44. List the prime factors of n(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 0, -0.3, 6\/31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(-15\/11)*z**0\/z**6)**(-33) assuming z is positive.\nAnswer: z**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010882689 rounded to 6 decimal places?\nAnswer: -0.001088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + d - 12 + 0*d)*(-2 - 5 + 3)*(0 - 2 - 1) in the form i + x*d and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 130*i - 162*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, 98, 147?\n\"Answer: 49*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*f - 779 - 4941 = -1424 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23882*s**4 - 23835.\nAnswer: -95528*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 - 3*i**3*k**2 - 6*i**2 + 7*k**2 - 18 wrt i?\nAnswer: 8*i**3 - 9*i**2*k**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -24 - 64. Let q = -39 - a. Calculate the common denominator of -30\/7 and (-445)\/q*(-3)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16\/381 + 32161\/5334. What is the common denominator of -5\/2696 and m?\nAnswer: 18872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 j, and 1 z when four letters picked without replacement from eeuejjuzzzejjjzjuu?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**4 + 5*l**2 - 5*l**2 + (l + 3*l - 6*l)*(132*l**3 + 69*l**3 + 18*l**3) as h*l**4 + u*l**3 + y*l + s*l**2 + n and give h.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121? (a) -1\/6 (b) -2 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3027904 and 506.\nAnswer: 3027904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 + -2. Let m = 9.15 + -9. Let x = o + m. What is x rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 861472 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/((-1)\/(-4)). Let u = -2 - a. Suppose -4*x + 13 = s, 1 + 4 = u*x - s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1884 - 50?\nAnswer: -1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342344 (base 11) to base 7.\nAnswer: -4426211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -39, -88?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 338.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t**2 - 621*t - 2105. Determine c(-58).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -1240*f + 1262*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/7 + 15784*z - 435985648.\nAnswer: -(z - 55244)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11592501.\nAnswer: 3, 61, 63347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b**3*q**2 - b**3 - 7*q**2 + 25*q + 4 wrt q.\nAnswer: 40*b**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*w = -5*w + 10884, -v - 5*w + 2703 = 0. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*s + 8*s + 4*s + 4*s**2 + 199*s**3 - 3*s wrt s.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -49. Suppose -2*h + b + 222 = 0, h - t*h + 133 = 5*b. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -83001a0?\nAnswer: 8300196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10 and 179\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12948479*q**3 - 24325479 wrt q?\nAnswer: 38845437*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3691 by -11.\nAnswer: -3691\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujuiujojqujjlijluu. What is prob of picking 1 u and 1 j?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156064?\nAnswer: 2, 3, 37, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c = -2*i + 8, 4*c - 36 = i. Solve -38*m = -30*m + c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 + (3 - -12) + 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.731242 nanograms to grams.\nAnswer: 0.000000002731242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3015 + 3?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 17 (c) 0.06 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -5 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 24*w - 28*w = 2, -l - 5*w = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5127, 12931, 20735, 28539?\nAnswer: 36343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a - 57. Give i(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9 + 3. Suppose 0 = 4*a - 2*j - 0*j + 16, 0 = a + p*j + 13. Is 415 - a\/((-5)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7244 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 1978?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4148 and 14.\nAnswer: 29036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 8:11 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*m - 5533 + 1417 = 9824 for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123160 <= 123162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5775 - -5837. Calculate the lowest common multiple of 8 and d.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.2 (b) 5 (c) -14\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/3442 and -41\/52.\nAnswer: 89492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586632 is divided by 195544.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 - -24. Let n = i - 30. Let o = -2 - n. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 160*n*t**4 + 2*n*t**2 + 30*n - 604 wrt t?\nAnswer: 640*n*t**3 + 4*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 6*m - 10 = b - 8*m + m + 4*m, 6*m - 2 = 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 14 = -b, r + 6*b - 18 = 2*b. Suppose r*d + 2*q = 14, -2*d + 0*d + 3*q - 6 = 0. Calculate the smallest common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397866473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rra when three letters picked without replacement from {r: 2, a: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -183 (c) -126\/125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/17)\/i)**(5\/11)*(i*i**(-11)\/i)\/(i\/(i**(-5\/2)\/i)) assuming i is positive.\nAnswer: i**(-5987\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 150 + 135 - 277. Let n(q) = -q - 9. What is 3*b(x) + 2*n(x)?\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 408 = -12*o. Does 5 divide -2*(-2 - 0) + o + -37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, w: 2}. What is prob of sequence wzw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3650108 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27551062 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2\/7 - 6205755*p\/7 + 18617292\/7 = 0. What is p?\nAnswer: -2068588, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -32.85. Let o = d - -3.15. Let a be (-8)\/6 + (-6)\/(-3). Sort o, a, 0.3 in descending order.\nAnswer: o, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24374 + 34296 - 16842)*(-1 + 1 - n).\nAnswer: 6920*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 - 2 - 4*a**4 - 4*a + 7*a to x*a**2 + j*a + k + m*a**4 + i*a**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 133. Let g be -3 - ((-50)\/8 + s). Which is the third biggest value? (a) g (b) -1\/3 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4 and -59\/8980.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 93*g**2 - 5*g + 3. Let t(p) = 46*p**2 - 3*p + 2. Determine 5*t(r) - 3*u(r).\nAnswer: -49*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 2, h: 1, l: 1, u: 1, a: 1}. What is prob of sequence mha?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5904?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 7. Give s(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*o + 63*o + 696*o**2 - 21*o)*(0*o**3 + o**3 + o**3).\nAnswer: 1392*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169 - -171. What is the nearest to 1\/4 in -2, o, -3\/8, -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 3:07 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -b3aa (base 15) to base 10\nAnswer: -37960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3\/2, -6.12, 236 in ascending order.\nAnswer: -6.12, -3\/2, 14, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. Let w be (10\/8)\/(r\/40). Let y = w + 44. Solve 0 = -4*v + y + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1eb1 (base 15) to base 9\nAnswer: -10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1254961 times -2\nAnswer: -2509922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-14)*a)*a))**(-4) assuming a is positive.\nAnswer: a**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006526 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((4 - -19) + -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1101233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - g + 7 = -9*y, y + g = 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2. Let i(l) = -l - 5. Let m = 10 - 6. Suppose -3 + 23 = m*j. Let y(s) = -s - 4. Let t(u) = j*y(u) - 4*i(u). What is k(t(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:43 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -43105550 to the nearest 10000.\nAnswer: -43110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**5\/4 - 7*o**4\/12 + 2*o. What is the third derivative of k(m) wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = -2*w, w + 106 = -5*o. Let b = -21 - o. Solve 3 = l + f, f + b - 4 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -8, -3, -838, -0.3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.042 or -4183?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 49*u**2 - 14*u - 7. What is the units digit of n(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*(-4)\/(84\/7). Let j = 0 - -0.1. What is the nearest to -1\/2 in m, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -42. What is the highest common factor of a and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1240 = -10265. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -32*m + 35*m + 36, 0 = -2*h + m + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/35)\/((-12)\/(-160)*4). Does 6 divide (210 - (6 + -1))*1 - o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -312497 and -2347.\nAnswer: -314844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + -47. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107440 - -151617. List the prime factors of c.\nAnswer: 7, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 63.025281 milliseconds?\nAnswer: 0.0000175070225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/31, 6447, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:02 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**6\/540 + u**5\/45 + u**4\/12 - 2*u**3\/3 - 9. Let h(d) be the third derivative of i(d). Suppose h(c) = 0. Calculate c.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-3*sqrt(612) + -5)**2)*5 - ((-1*(sqrt(612) + 2))**2 + 0 + 4))*-4.\nAnswer: -108180 - 3504*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 0 + 0 + (-3*p**2 + 2*p**2 + 4*p**2)*(7*p - 21*p - 4 - 6*p) as v*p**2 + u*p**3 + m*p + o and give u.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let m be u(2). Let x(h) be the second derivative of h**4\/12 + h**3\/6 + 2*h. Let r be x(m). Solve -r*i - 1 - 9 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.9. Let k(o) = -o + 11. Let m = -54 - -62. Let w be k(m). Which is greater: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 - 2*z + z**2 + 29*z**2 - 2*z + 4 - z**3 - 41*z**2. Let c(m) = 2*m**3 + 6*m**2 + 5*m - 5. Determine 4*c(b) + 5*l(b).\nAnswer: 3*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 0, -2*m = -0*f - 5*f - 84. Suppose 4*j + j = -d + 56, -5*j = -3*d - m. Let l = 2803 + -2802. Calculate the greatest common divisor of l and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -73*b**2 + 417*b + 159. What is q(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c - 11. Suppose -3*q + c*q = -20. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-44)\/(-30) - 4\/3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)\/(r*r**(-4)*r))\/(r\/r**(-16\/7)*r\/r**(-1\/6)) assuming r is positive.\nAnswer: r**(-439\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 70 = -2*z. Let b = -12 + 24. Calculate the remainder when z is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide (-2)\/((2*(-5)\/1325)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -851, -854, -857?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-10)\/j**4*(j*j\/(j**(4\/3)*j))**17 assuming j is positive.\nAnswer: j**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0478701 rounded to four dps?\nAnswer: 1.0479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.5 (b) -5 (c) 3\/26 (d) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 7 - 18 + z**2 + 17 - 2*z**2. List the prime factors of v(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 11. Let n = -35\/8 + 159\/40. Which is the second smallest value? (a) n (b) k (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69013.\nAnswer: 7, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.61 - 15.31. Let f = 0.17 - -2.73. Let l = 9.9 - f. Which is the third smallest value? (a) -1 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 12*p**2 - 7*p - 9. Let i(f) = 3*f**3 + 18*f**2 - 10*f - 14. Let r(l) = 7*g(l) - 5*i(l). Calculate r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + -17. Let w = 12.4 + 11.4. Let d = o + w. What is the closest to 0 in d, -1\/2, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 11*c - 20. Let q be x(-8). What is the second derivative of 10*p + 9*p**4 - 5*p**4 - p**4 + q*p**4 wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 3018*h**2 + 9165*h + 84756 = 0. Calculate h.\nAnswer: -1009, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*l*w**3 + 85*d*l + 21*d - 2*l*w**2 + 36*l*w wrt w?\nAnswer: 6*d*l*w**2 - 4*l*w + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 - 2*h**2)*(257*h**2 - 257*h**2 + 70*h**3)*(6 - 3 - 4).\nAnswer: 140*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 + -262. Let m be 1 + j\/52 + 1. Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -5.6. Let k(b) = -b - 3. Let f be k(0). Suppose 0 = i - 6, l + 0*l = -4*i + 28. What is the nearest to x in f, 2\/17, l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*b**3 + 428*b**3 - 910*b**3.\nAnswer: -70*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose k*t + 4 = 5*t. Suppose t*w - p = 40 + 47, -5*p = 5*w - 115. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13021626 and 13021624 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4645, 4538, 4431, 4324?\nAnswer: 4217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkg when three letters picked without replacement from jgggkgjkcc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w - 2*a + 37, -3*w = -4*a - 43. Suppose -w*j = -6*j - 24. What is the common denominator of -24 - -21 - 9\/j and 55\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 2\/7 (d) 13 (e) 3 (f) 421\/2 (g) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106791 - -83190204\/779. Calculate the common denominator of -27\/5 and w.\nAnswer: 3895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4243585*-3\nAnswer: 12730755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*c + 247*c = 644*c + 31948 for c.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 400?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(531 - 531 - 145*s)*(-s - s + 4*s).\nAnswer: 1160*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 0*u**2 + 3*u**2 - u**3 - 5 + 13 - u. Let k be f(6). Solve -4*w + k*z = 6, -5 = -z - 0*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 251*d**2 - 110*d + 2190. What is m(84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*o = -141, 0 = -3*t - 2*t + 4*o - 123. Let u = 610 + -601. Let d = t + u. Is d < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192513770 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15081 times 6.04\nAnswer: 91089.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969 + 3871 - 964 + 75*p - 969 - 967.\nAnswer: 75*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 4101.\nAnswer: 2\/4101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22546.4 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2 - -10*23. Suppose -2*x = -0*x - k. Suppose c = -c + x. Round c to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 15 - 1\/4*n**4 + 3*n**3 + 0*n**2 - 2*n. Give y(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 51?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -29\/20.\nAnswer: -3, -29\/20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 14459534035652?\nAnswer: -14459534035651.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:35 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*v**5 - 4*v**4 - 824*v wrt v.\nAnswer: -260*v**3 - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**2 + 0 + 35*r**2 + 10*r**3 - 22 - 44*r**2 - 16 as k*r**3 + t + w*r + a*r**2 and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003487299 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156 is divided by 1024.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = -23 + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.037 from -142.\nAnswer: -141.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouooouoeuoqeoooqqq. What is prob of sequence qu?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328174148?\nAnswer: 2, 109, 113, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1547)\/(-588) + -3 - 10\/(-35) and (3 - -1) + 868\/(-240).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 0 in decreasing order.\nAnswer: 13, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1668*z**2 - 2*z - 4466 wrt z?\nAnswer: 3336*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 16, -31, -112, -239?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -101 + 17. Let z be -10*((-4)\/w*0 + -1). What is the third derivative of 5*j**2 + 5*j**2 + 5*j**2 - z*j**3 + 3*j**2 wrt j?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 1530?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -94. Calculate the smallest common multiple of 6 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-3 + 13)*-16. Solve -12 = 4*z + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 13*w**3 - 19)*(2 - 5 - 1) to the form m*w + t*w**3 + o + h*w**2 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2263567648?\nAnswer: 2263567648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/120 - 11*k**5\/60 + 3*k**4\/8 + k**3 - 5*k**2. Let n be x(10). Which is smaller: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21476166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412761 is divided by 951.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as 60761\/5765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 165. Let o(g) = -g**3 - 42*g**2 + 70*g - 114. Is 42 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 12 = -6*d. Is d\/3 + (-642)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 65 = -56*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6657 plus -1.0536582566?\nAnswer: -6658.0536582566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85769898?\nAnswer: 2, 3, 23, 621521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 28*o - 3*o.\nAnswer: 37*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -34*g - 1. Let v be l(1). Let x be (-4447)\/(-7) - (-10)\/v. Suppose -2*u = 3*u - x. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 1. Let k be 50\/14 - 84\/147. Let h(n) = 0 + 2 + 1 + 6*n**2. Calculate k*l(u) + h(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -6. Let f be -6 + d + (3 - 4). Let z = 12 + f. What is the lowest common multiple of z and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 2 + c**3 - 2 + (3 - 3 + 3*c**3)*(4 + c - 4) + 64*c**4 - 127*c**4 + 51*c**4 + (0*c + 3*c - 2*c)*(2*c**3 - 4 + 4).\nAnswer: -8*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 350.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + q**3 - q**3 + (7*q**3 + 281*q**2 - 280*q**2 + 0*q**3)*(0 + 4 - 13) to c*q**2 + v + o*q**3 + x*q and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l = -13 - 287 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k**2 - 3*k + 0*k**2 + 3*k**2 - k**2. Let i(f) = 79*f - 5*f**2 - 153*f + 81*f. Suppose 2*s + 12 = -2*s. Calculate s*i(n) - 7*p(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2425, -2396, -2365, -2332, -2297, -2260, -2221?\n\"Answer: b**2 + 26*b - 2452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 40\/9*j**3 - 4\/9*j**4 + 0*j + 21*j**2 + 1\/252*j**8 + 7\/90*j**6 - 3 + 22\/315*j**7 - 31\/45*j**5. Let x(l) = 0. What is l?\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**4 - 29*o**3 - 16*o**2 + 2*o. Let q(j) = -21*j**4 - 57*j**3 - 31*j**2 + 5*j. Let r(b) = 11*p(b) - 6*q(b). Factor r(t).\nAnswer: t*(t + 1)*(t + 4)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**4 + 1319*m**3 - 575 wrt m.\nAnswer: -4*m**3 + 3957*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33264 - 23520. Is 31 a factor of (-3)\/(-5) - o\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*m + 7*m + 32 = 0, 3*t + 5 = m. Let o = 12 + -17. Sort 1, t, o, 5 in increasing order.\nAnswer: o, t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.89 times 1\nAnswer: -8.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/563 + -1144\/5067. Let f = -0.97 - 0.03. What is the fourth smallest value in -2\/19, s, f, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 3*h - 4. Let u = 59 - 55. Let t(j) = -4*j**2 + 4*j - 5. What is u*r(z) - 3*t(z)?\nAnswer: -4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*p + 1351 = -25*p + 496 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10*f - 4. Let v(d) = -39*d - 16. Let b(o) = 4*r(o) - v(o). Let k(s) = -3595*s. Calculate b(k(c)).\nAnswer: 3595*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3213311310 (base 4) to base 8\nAnswer: 3476564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 4\/7, 0.3, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 26 + -22 - -12 - -27\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 188856, 189754, 190652, 191550, 192448, 193346?\n\"Answer: 898*z + 187958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23180665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33523715.\nAnswer: 5, 71, 94433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32960.18ml in litres?\nAnswer: 32.96018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210963411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 91 - 4 = 0. What is the common denominator of (6\/((-36)\/c))\/3 and 1\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*q - 2 = 235*q + 3*v, -3*q = -v + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4156 + 4151. Let r(o) be the second derivative of 0 + o**3 - o + 1\/12*o**4 + 0*o**2. Calculate r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6176063261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: f3c (base 16) to base 11\nAnswer: 2a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.041337024 and -0.2.\nAnswer: 0.0082674048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Let j be m(-6). Let p = 14 + -9. Suppose -d - d + 30 = j*c, p*c = 0. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/30*10\/(-35)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5\/7 - 1784*b**4 - 124476*b**3\/7 + 1784*b**2 + 124480*b\/7 = 0.\nAnswer: -3112, -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1562*r**3\/3 - 121832*r**2\/3 - 791830*r + 2028.\nAnswer: -2*(r + 39)**2*(781*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l - 1. Let g(y) = 5*y**2 - 6*y + 6. Let s be (-8)\/6*(-9)\/2. Let u(p) = s*x(p) + g(p). Let r(w) = -5*w. What is u(r(m))?\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5\/9 + 1874*u**4\/9 + 14746*u**3\/9 - 109826*u**2\/9 - 62932*u\/3 + 74320 = 0.\nAnswer: -929, -12, -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l - 6*l - 9*l)*(-3 + 2 - 1 + (2 + 3 - 6)*(-3 - 3 + 5) - 5 + 0 + 3 + 0 + 1 - 3 - 143 - 27 - 334) as u*l + p and give u.\nAnswer: 4581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4419 and -53\/45?\nAnswer: 22095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 3*q**3 + 2*q**3 - 96*q**4 + 5*q**2 - 3*q**2 - 24 - 12 + 5*q to the form t*q**4 + h + u*q**2 + g*q**3 + w*q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + c**2 + 2*c**2 - c**2 to a*c + x*c**2 + h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17950687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**2 - v. Let z(a) = 9*a - 7*a - 5*a - 6*a. Calculate o(z(y)).\nAnswer: -1215*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -2*g**3\/3 - 7*g**2\/2 + g - 1534. Let k(b) = -8*b - 15. Let m = 18 - 5. Let a = 0 + m. Calculate a*j(n) - 6*k(n).\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50478 (base 9) to base 2.\nAnswer: 1000000110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) -4 (b) 144 (c) 1 (d) 0.3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-6))\/(382\/(287264\/1410)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -138 and -273890.\nAnswer: -274028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, r: 2, f: 1, q: 1, d: 4, x: 7}. What is prob of sequence fx?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550\/(-105) - (55\/(-44) + 81\/84)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 4*q + 11*z - 77252, 77252 = 4*q + 3*z. What are the prime factors of q?\nAnswer: 7, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 + 139. Suppose -2*o - p + 70700 = -6*p, 2*p = u*o - 176708. What is o rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -66*v - 34. Let t be z(2). Find the common denominator of (-9 - (-1790)\/200)*t\/18 and -79\/200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -39, -5 in decreasing order.\nAnswer: 26, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223111 - -2220?\nAnswer: -220231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**8\/168 - g**4\/12 + 2*g**3\/3 + 3. Let u(q) be the third derivative of c(q). Differentiate u(w) with respect to w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 157?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 586648.\nAnswer: 586648.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*m - 127*m - 156*m.\nAnswer: 61*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*o + 12 = 0, 26 = -4*o + 18. Which is the nearest to 1? (a) -1 (b) 4 (c) u (d) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 16*w + 9*w - 26*t + 192, 0 = 2*t - 5 - 3 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + 31. Let r = b - 58. What is the fourth biggest value in -1\/11, 1\/9, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*j - 12 - 243, j = -2*r + 150. Let q be 3*1 + (-455)\/j. Let h = -0.94 - -1. What is the closest to -2 in h, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -4 (b) -116\/277 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-3\/2)\/n*n))\/n)\/n**(-8)*(n**(2\/7))**(7\/6))**(1\/16) assuming n is positive.\nAnswer: n**(59\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/254 and 17\/90504.\nAnswer: 11494008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-3)\/9*(-41832)\/224*(-32)\/96\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/92352 and -61\/1638.\nAnswer: 1939392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14.65 or 6\/17?\nAnswer: 14.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2787078? (a) 1\/4 (b) -3 (c) 0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612636 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -4. Let v = b + -8.4. Is v < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:06 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -22, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + sqrt(117)) + -1*sqrt(13)*-4 - sqrt(78)\/(-3*(sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6))).\nAnswer: -107*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-48))\/(1\/(-12)). Suppose 0*y - 5*m + 87 = 2*y, 143 = c*y + 5*m. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/((-23940)\/24)*-1.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2711 = -60*j - 136*j - 1797 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819667269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + (5 + sqrt(320) + -3*(1 + sqrt(320)))*6 + 3)**2.\nAnswer: -3072*sqrt(5) + 46341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -126*c. Let r(p) = -5*p + 3 - 138*p + 144*p. Give a(r(l)).\nAnswer: -126*l - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - o**2 + 3*o - o - 2. Let d be n(3). Is 0 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-5 + 2) - (-11 + 12). Let u be (-88)\/(-160)*5 - (y - -2). Which is the nearest to u? (a) 5 (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1294405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -12775, 31 in ascending order.\nAnswer: -12775, -5, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.9592 * -3.1\nAnswer: 2.97352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x**2 + 5. Let t(p) = -36*p**2 + 16. What is 16*a(z) - 5*t(z)?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1)*((-15)\/(-25))\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4500))\/(-1*(sqrt(9) + sqrt(9)*-3)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -73940*d. Let p(q) = -70*q. What is p(s(n))?\nAnswer: 5175800*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12101705 and 61017.\nAnswer: 36305115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q + 49. What is m(20)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2 - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -222221121211 (base 3) in base 13?\nAnswer: -15758b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/41504 and 143\/498048.\nAnswer: 498048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8) + (-22 + -34 - 18 - (-4 - -7))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5522012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 2*n**2 - 2*n - 3. What is t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/84*-1*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11010001100101 (base 2) to base 8\nAnswer: -32145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 13. Let d be 3 + (-1 + -1 - -1). Suppose c*g = d*g. Solve -5*y + 6 = v - 3, g = -2*y - 4*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.01 + 0.01. Let x = -7 - z. Which is the closest to -1\/4? (a) 4 (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68834143*y**4 + 2*y + 23279134 wrt y.\nAnswer: 826009716*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.2096m in kilometers?\nAnswer: 0.5892096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190713687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -942*z**2. Let j(m) = -2*m. Determine j(u(l)).\nAnswer: 1884*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-3)**2 - (sqrt(72)\/sqrt(6))\/sqrt(6).\nAnswer: -sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -2.9, 0.32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93697791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 151. Let u = a - -317. Calculate the highest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/13 - 1317310*f**2\/13 - 216909911200*f\/13 + 1084582489000\/13.\nAnswer: -2*(f - 5)*(f + 329330)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/15 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -45, -5.\nAnswer: -45, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4+-2498.4123764\nAnswer: -2494.4123764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*s + 7*s + 26, 4*h - 13 = -5*s. Suppose -h + 13 = -3*o. What is the tens digit of (o - (1 + -4))*14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23.341617 months?\nAnswer: 0.194513475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/676 and -44\/273.\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -342*f - 76*f + 1254 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639411011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 772605367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - (-2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10812*b + 2784. Let g(p) = -7209*p - 1856. Let a(r) = -7*g(r) - 5*x(r). Find the first derivative of a(c) wrt c.\nAnswer: -3597","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*m = -207, 5*m - 54 = -0*y + y. Sort y, 4, -7, -5.\nAnswer: y, -7, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 4)\/(-35) - (-161)\/5. Suppose -8*d = -m*d + 2016. What is the lowest common multiple of d and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**3 - 6*r - 12. Let p(a) = 19 - 3*a - a**3 - 20 + 5*a - 3*a. Calculate -6*p(y) + u(y).\nAnswer: y**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1509.4354908 + 1497.4355. Let z = -43 - -31. Let t = z - a. What is t rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2332 and -459.8.\nAnswer: 107.22536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 1. Let t(h) = 4 + 5*h - 4*h - 5*h. Suppose 5*p = s - 1, -5*s + 50 = 4*p + 16. Suppose -14 = 4*i + s, 5*u - i = 10. Determine u*t(l) + 6*m(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2 + -3 - (-361)\/304)*-15?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 + 14*s - 1. Let x be l(4). Let h = 29 + x. Suppose -119 - 1 = -h*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l - 358*l**2 + 357*l**2 + 10*l + 9 - 3*l**3 to the form o*l**2 + u*l**3 + x*l + y and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - (-787235)\/35)*7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + 2 + (12 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 2*n**2 + 7*n**2 - 2 to the form a*n + p + j*n**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 9 - 2 - 10*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16796 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - ((-1297)\/13 + 1). Let n = 92 - b. Which is bigger: n or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32668832 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834310?\nAnswer: 2, 3, 5, 94477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17973318 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 50*h**4 + 439*h**4 + 3*h**4 + (2 + 2 - 2)*(-2*h**5 - 2*h**5 + 3*h**5).\nAnswer: -3*h**5 + 492*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1 (b) -0.2 (c) 881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = -35*h + 12. Let s be (h\/9*1)\/(2\/12). Solve 4*v + 1\/2 - 4*v**3 - 8*v**4 + 15\/2*v**s = 0 for v.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + a**2 - a**2 + 7*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17008440 divided by -246?\nAnswer: 69140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/60 - 31*z**2\/2 + 10*z - 3. Let o(w) be the first derivative of f(w). Let r(l) = 146*l**2. Determine r(o(g)).\nAnswer: 146*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**5 - 90*l**4 + 160*l**3 + 10*l**2 - 165*l + 80 = 0.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 21*f + 3. Let i be m(2). Let j be (-10)\/4*(-36)\/i. Is 2 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*q*x**3*z + 954*q*x*z**3 + 2*q*z - 3*x**3*z**3 + 525*x**3 - 8*z wrt q?\nAnswer: 16*x**3*z + 954*x*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37981.74 grams?\nAnswer: 37981740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 + -122. What is the closest to 1\/4 in -2\/11, p, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5078 + -5176. Let b be ((-202)\/6)\/(2\/(-6)). Let k = r + b. Solve s + k*s - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116762857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 89483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -2, -3838, -5, 9 in descending order.\nAnswer: 9, 4, -2, -5, -10, -3838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -789\/553 - 1\/553. Let q(k) be the first derivative of k**4\/4 - 2*k**3 + 5*k**2\/2 - k - 2. Let v be q(5). Is v > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c69ab (base 15) to base 9.\nAnswer: -6808688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/31, -5\/66, 4\/3, 4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.08, 1, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 781 = -769. Let v(g) = -8*g - 18. What is v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 214 = 599. What are the prime factors of g?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.585493 rounded to one dp?\nAnswer: 35.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.3 (b) 0.3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 7*r**2 + 5*r + 7. Let v(g) = g**2 - g - 1. Let t(d) = 2*v(d) - w(d). Let j be t(-4). Solve y + j*m = -10, -3*m - 8 = 3*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 43*j**2. Let q(b) = 9*b**2. Determine q(n(w)).\nAnswer: 16641*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -125, -335, -647, -1067, -1601, -2255?\n\"Answer: -z**3 - 42*z**2 + 19*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v. Suppose 4*z + 5 + 23 = v. What is the third smallest value in -1\/3, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c**2 + 21*c. Let d(s) = -10*s. What is d(h(v))?\nAnswer: 250*v**2 - 210*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 7*b - 2. Let v(y) = 2*y**3 + 14*y + 5. Let a(p) = -5*f(p) - 2*v(p). What is the second derivative of a(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6822.7 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose -2*q = a*q. Let s = -17 - -37. Solve 0*b = b + 5*x + s, q = -3*b + 5*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = 1. Suppose -k = -5*j + 27, -j + b*j = -2*k + 1. Suppose -8 = -j*l + 4*d, 8*l - 2*d - 14 = 3*l. Solve l*y - 5 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 3. Let d = -64 - -129. Let s = d + -37. Let o be 2\/(-4) + s\/8. Give h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h + 38*h + 52 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + y - 6*y + 6. Let s(f) = -2*f - 2*f - 3 + 7*f. Let u(m) = -2*l(m) - 5*s(m). Give u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10067*d**3*o + 3*d**2*o - d**2 - 133*d*o wrt d?\nAnswer: 60402*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/54 and -109\/4536?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(((-10)\/6)\/(60\/(-72))). Sort -0.4, 1, g, -5 in decreasing order.\nAnswer: g, 1, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*f + 17. Suppose -13 - 22 = -3*t - 5*r, -5*r + 20 = 0. Suppose 0 = -5*k + 2*q + q + 13, f*q = k - t. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 307*r - 334 - 894 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 4. Let i be u(-5). Let x(n) = -3*n**2 - 2*n + 1. Let s be x(-2). Let j be 0*(s\/(-2) - 3). Solve j = 4*b + i + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-204)\/(-28) + -4 - (-2)\/(-7). Let l = -5.4 - -6. Which is the third biggest value? (a) l (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -618 + 2*s**2 + 285 - 1073 - 578 - 1608 in the form n*s**2 + f + m*s and give f.\nAnswer: -3592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 4*f + 2. Let j be h(10). Let w = j + -121\/2. Find z such that 3\/2*z**3 + 3\/2 - 3\/2*z - w*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9702.00000058747 + 9702. What is j rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 + 103.2. What is y rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1614 in 1, 0.1, 5, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5050 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = -4*v + 22 - 50, 3*v - 3*h - 5 = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91233 (base 14) in base 16?\nAnswer: 552fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 24.3. Is l less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94651*1.\nAnswer: 94651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 3. Let s be j(-2). Suppose v + 3*v - 107 = -i, -4*v + s*i = -137. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13 = -3. Suppose r*v = 286 - 96. Let n be 230\/4 + 2\/(-4). What is the greatest common factor of v and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 3 - -1) + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 807388352\/1490016367 - -5430\/174047. Let v = l + -2\/1223. Factor 2\/7*f - v*f**2 - 2\/7*f**3 + 4\/7.\nAnswer: -2*(f - 1)*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 7*c**2 + c - 9. Let h be m(7). What are the prime factors of (-256)\/(-10) - h\/5?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0 + 4, -s = -5*t - 8. Suppose 2*u - 2*a + 1 = -s, 5*u + 5*a = 10. What is the first derivative of 5*k**3 + u*k**3 - 3*k**3 + k**3 + 1 wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 + 38*m**2 + 67*m + 128. Let a(h) = -h**3 - h**2 - 1. Let d(o) = 4*a(o) - u(o). Is 37 a factor of d(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-54) - 2\/4)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.02. Let f = -19.1 + 18.1. What is the fourth biggest value in 2\/11, f, 3\/7, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -71. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/(-6))\/(21\/(-1528086)) - 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 45*j**2 + 81*j + 231. What is p(43)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 66*w - 9. What is the units digit of b(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6506\/429 less than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 + o**2 + 5. Let k be w(-4). Let r = 32 - k. Suppose 8*s - 64 = 20 + 148. What is the highest common factor of s and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Suppose 0 = -3*s - 4*r + 8, -3*r = -t*s + s - 6. Suppose s = -10*g + 7*g + 6. Calculate the lowest common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004972469 to 6 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from bbbbbffbfbffbffb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3888, -7547, -11220, -14913, -18632?\n\"Answer: -i**3 - i**2 - 3649*i - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96654558 divided by 637.\nAnswer: 151734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/2 + (-3117884)\/(-89782))*(44\/3)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5641, -2718, 2, -3 in descending order.\nAnswer: 5641, 2, -3, -2718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 20*d**2 - 79*d + 60.\nAnswer: -(d - 15)*(d - 4)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-8)\/f*f**(1\/13) assuming f is positive.\nAnswer: f**(-103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-140)*(-924)\/88?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12472 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 3. Suppose -r = 4*r + 90. Let m(i) = i + 21. Let t be m(r). Determine a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 2 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -315953\/1099330 - -2\/11695. What is the common denominator of z and -3\/8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -156, -13, 5, -3, 0, 4 in increasing order.\nAnswer: -156, -13, -3, 0, 4, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -25*f**4 + 7*f**3 - 49*f**2. Let r(c) = 8*c**4 - 2*c**3 + 16*c**2. Let u(j) = 7*r(j) + 2*v(j). Find the third derivative of u(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 17 = 2*s, -2 = 5*s + 2*l - 16. Let c(g) be the first derivative of 0*g + 1\/21*g**3 + 1\/28*g**s - 1\/7*g**2 + 2. Factor c(q).\nAnswer: q*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 9*f**2 - 45*f + 9. What is the units digit of u(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54599 is divided by 6472.\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 45*g + 15. Give j(10).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55641780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12129 (base 11) in base 6?\nAnswer: -212451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 134, 216, 296?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -309 - -315. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 536*t**3 - 52*t**2 + 53*t - 3. Is x(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 + 2*i + 1. Suppose 2*y = 2*a - 14 - 4, 5*a + 2*y - 17 = 0. Give j(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2.1243899.\nAnswer: -2.1243899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/21366 and 61\/36.\nAnswer: 42732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 + (-264*3)\/(-3). Suppose 0 = 4*f - f - 54. Calculate the highest common factor of h and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4379 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l + 8. Suppose 2*y - 26 - l = 0. Is 4\/14 - (-738)\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644772 + 759109 = 41*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 3*d - 1. Let l be g(-3). Suppose -u = -0 - 2. Which is the closest to l? (a) 0 (b) 1\/8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -40. Let h = r - 14. Which is the third biggest value? (a) -2\/5 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/3 + 4\/6. Suppose -2*h - 10 = 0, -h + 127 = -0*i + 2*i. Suppose -4*b - v - i = 0. What is b rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppe. Give prob of sequence epp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50731\/8 - (-18 + (-2793)\/(-152))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 1. Let b(o) = -o**3 - 3*o**2 + 10*o - 2. Let c be b(-5). Let y be (-1 + 2\/c)*23\/46. What is q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302231, -302227, -302221, -302213, -302203, -302191, -302177?\nAnswer: -302161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = -26. Solve 7*z**4 - 26*z**4 - 3*z**5 - 3*z**3 + n*z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31 (b) 2\/7 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, w: 3}. Give prob of sequence dddd.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/120 + u**5\/6 + 5*u**4\/12 + u**3\/3 + 3*u**2. Let y be n(-8). Let x = -18 + y. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 0, -5, 14 in decreasing order.\nAnswer: 14, 13, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g + 101. Let k be t(-14). Calculate the remainder when ((-2 - -3) + 32)*9\/k is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-7)\/((-7)\/4). What is the tens digit of (128\/24)\/(g\/54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose f = -s + 216 - 217, -4*f + 8 = 2*s. Solve f*j - d = -27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 61 = 53. Solve u - 1 = 5*y + m*u, y - 4*u = -14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47861 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z**2 + 4*z**2 - z**2)*(0 + 0 - 2*z**2) - 2*z**4 - 2*z**4 + 2*z**4 - 8*z + 13*z**3 - 2*z**4 + 8*z)*(-2*z + 2*z - z).\nAnswer: 8*z**5 - 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}