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[ { "from": "human", "value": "Solve -4*i - 30 = -5*r, 2*r - 3*r - 2*i = 8 for r." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let p(n) = -3*n**2 + n + 2. Let r be p(-5). Let b = r - -148. Let m = b - 47. Is m a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 4, what is 103 - -2100?" }, { "from": "gpt", "value": "2203" } ]
[ { "from": "human", "value": "Solve -5*n - 25 = -m, 2*m + 22 = -5*n + 3*n for n." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let s(u) = -u - 2 - 15 - 2*u. What is the smallest common multiple of s(-7) and 12?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Three letters picked without replacement from {x: 1, k: 1, t: 1, p: 2, m: 2, z: 2}. Give prob of sequence xzp." }, { "from": "gpt", "value": "1/126" } ]
[ { "from": "human", "value": "What is -463.6 take away 3?" }, { "from": "gpt", "value": "-466.6" } ]
[ { "from": "human", "value": "Let l = -0.85 + -0.15. Let x = 1 - l. What is the closest to 2 in 5, x, -1/3?" }, { "from": "gpt", "value": "x" } ]
[ { "from": "human", "value": "In base 10, what is 1 - -417?" }, { "from": "gpt", "value": "418" } ]
[ { "from": "human", "value": "3 * -0.17" }, { "from": "gpt", "value": "-0.51" } ]
[ { "from": "human", "value": "Find l such that l**3/5 - 2*l**2/5 - l/5 + 2/5 = 0." }, { "from": "gpt", "value": "-1, 1, 2" } ]
[ { "from": "human", "value": "Let w = 14.80636 - 14.8. Round w to 4 dps." }, { "from": "gpt", "value": "0.0064" } ]
[ { "from": "human", "value": "Calculate 2 + (-3 + 1 - -4) + -3." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -4 = 2*s + 3*d - 2, -2*s = -3*d - 22. Let w = s + -5. Let u = 2 - w. Solve 4*b + 10 - u = 0 for b." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose a = c + 9, -a - 2*a - 2*c = -32. Suppose 6*g - a = g. List the prime factors of g." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let d(p) = -p - 2. Let x be (-6)/15 + (-46)/10. Let q be d(x). Factor 0*u - 2/7*u**4 + 2/7*u**2 + 0 + 0*u**q." }, { "from": "gpt", "value": "-2*u**2*(u - 1)*(u + 1)/7" } ]
[ { "from": "human", "value": "0 - 42.111" }, { "from": "gpt", "value": "-42.111" } ]
[ { "from": "human", "value": "What is the tens digit of 11596?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Which is the closest to -2? (a) -0.3 (b) 35/6 (c) 7" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose 5*m - 41 = v - 5*v, 0 = -4*v + 2*m + 6. Suppose -v*l + 275 = 87. Is l a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -4*b + 3*s + 14 = 0, -2*b + 0*s = -s - 8 for b." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the nearest to 0.1 in -1/4, -19, -1/3, 2?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 0.038 (b) 29 (c) -5 (d) 0.3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the cube root of 1387 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Sort 3, 0.5, -5, -78 in descending order." }, { "from": "gpt", "value": "3, 0.5, -5, -78" } ]
[ { "from": "human", "value": "Solve 5 = 2*z - 1, -4*a - 1 = -3*z for a." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Sort 31, -2, 38 in descending order." }, { "from": "gpt", "value": "38, 31, -2" } ]
[ { "from": "human", "value": "What is the product of 0.05 and 291?" }, { "from": "gpt", "value": "14.55" } ]
[ { "from": "human", "value": "Let o = 14.6 - 15. Sort o, -2/13, 2/15 in descending order." }, { "from": "gpt", "value": "2/15, -2/13, o" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 3283 and 7." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let k = 0.01 + 0.03. Let o = k - 0.04. Which is the nearest to o? (a) -4 (b) 2 (c) 2/7" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is -885 minus -1.02?" }, { "from": "gpt", "value": "-883.98" } ]
[ { "from": "human", "value": "Solve -38*r + 48*r - 30 = 0 for r." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Rearrange -6*d - d + 2 - 17*d**2 + 8*d**2 to k + r*d**2 + x*d and give k." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let z(k) = 10*k**2 + 7*k - 7. Let i(q) = -3*q**2 - 2*q + 2. Let t(s) = -14*i(s) - 4*z(s). Let y(r) = -3*r. What is y(t(m))?" }, { "from": "gpt", "value": "-6*m**2" } ]
[ { "from": "human", "value": "Calculate prob of sequence jj when two letters picked without replacement from {j: 3, m: 7}." }, { "from": "gpt", "value": "1/15" } ]
[ { "from": "human", "value": "What comes next: -37, -63, -87, -109?" }, { "from": "gpt", "value": "-129" } ]
[ { "from": "human", "value": "Let z = 23 + -23. What is the second biggest value in 8, -3, z, 1/5?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "Suppose q - v - 7 = 3*v, 3*v + 9 = 2*q. Suppose -2*d + 3*z - 2 = -5, 0 = 5*d + 3*z + 3. Solve q*b - 4*b = d for b." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 145 minutes before 9:44 PM?" }, { "from": "gpt", "value": "7:19 PM" } ]
[ { "from": "human", "value": "Suppose n = -2*r, 2*n + n = 0. Let t(b) be the first derivative of r*b**2 + 0*b**3 - b + 1/5*b**5 - 2 + 0*b**4. Differentiate t(l) wrt l." }, { "from": "gpt", "value": "4*l**3" } ]
[ { "from": "human", "value": "Does -1/3 = -1/42?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let i be 299/4 - 2/(-8). Let u = 297/4 - i. Suppose -20 = -0*z + 4*z. What is the third smallest value in -4, u, z?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Let p = 2.7879 + -76.7439. Let q = p + -0.044. Let d = q - -73.99999918. Round d to 7 dps." }, { "from": "gpt", "value": "-8e-07" } ]
[ { "from": "human", "value": "Suppose -2*x + 6 + 2 = 0. Let p = 4 - x. Let o be 4/14 - (-10)/14. Solve r - o = -p for r." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Sort 3, 4, -3, 15." }, { "from": "gpt", "value": "-3, 3, 4, 15" } ]
[ { "from": "human", "value": "In base 13, what is 46 - 45?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 253 a multiple of 23?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the nearest to 0? (a) -0.47 (b) -1 (c) -3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is 16/(-15) - (-4)/6?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Let d be 168/196 + (-324)/(-112) + -3. Let f = -2 - -2. Which is greater: d or f?" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Is 421493 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify (5*sqrt(77)*2)/(-2*sqrt(175))." }, { "from": "gpt", "value": "-sqrt(11)" } ]
[ { "from": "human", "value": "Suppose 3*g - 3*h - 20 = 2*h, -4*g = -2*h - 8. Solve g*y = 3*y - 3 for y." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What are the prime factors of 7522?" }, { "from": "gpt", "value": "2, 3761" } ]
[ { "from": "human", "value": "What is the common denominator of 43/72 and -23/264?" }, { "from": "gpt", "value": "792" } ]
[ { "from": "human", "value": "Is (-1)/(1/2) + (-17 - -91) a multiple of 11?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) -217 (b) 1 (c) -3 (d) -1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 14*i = 119 + 7 for i." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "585 divided by 117" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Simplify ((sqrt(119)/(sqrt(7) + sqrt(28)/sqrt(4)) - (0 + sqrt(153) + sqrt(17))) + sqrt(68)/sqrt(4) + -5 + 1)**2." }, { "from": "gpt", "value": "20*sqrt(17) + 489/4" } ]
[ { "from": "human", "value": "Let q = -1 + 0.96. Let o = 1.5 - 1. Which is the third biggest value? (a) o (b) q (c) 4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Round -0.9759464406 to two dps." }, { "from": "gpt", "value": "-0.98" } ]
[ { "from": "human", "value": "How many minutes are there between 6:00 AM and 11:15 AM?" }, { "from": "gpt", "value": "315" } ]
[ { "from": "human", "value": "What is the second derivative of 9*t**5 - 5*t - t**5 - 6*t**5 - t**5 wrt t?" }, { "from": "gpt", "value": "20*t**3" } ]
[ { "from": "human", "value": "What is -22 (base 11) in base 14?" }, { "from": "gpt", "value": "-1a" } ]
[ { "from": "human", "value": "What is 6.635894us in milliseconds?" }, { "from": "gpt", "value": "0.006635894" } ]
[ { "from": "human", "value": "Suppose -2*q = -7*q + 100. Solve -5*p - 12 = 2*x + 13, 2*x - 4*p = q for x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the next term in 550, 1093, 1632, 2167, 2698, 3225?" }, { "from": "gpt", "value": "3748" } ]
[ { "from": "human", "value": "Sort -4, 5.9, 45." }, { "from": "gpt", "value": "-4, 5.9, 45" } ]
[ { "from": "human", "value": "Express (1 - 2 - 2)*(-3*w - 2*w + 2*w) + (2*w - 4*w + 0*w)*(-2 + 0 + 5) in the form m*w + t and give m." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 3 = -5*w + 3 for w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -2*u**2 + 70*u - 132 = 0 for u." }, { "from": "gpt", "value": "2, 33" } ]
[ { "from": "human", "value": "What is the square root of 190082 to the nearest integer?" }, { "from": "gpt", "value": "436" } ]
[ { "from": "human", "value": "In base 8, what is 70 - 5?" }, { "from": "gpt", "value": "63" } ]
[ { "from": "human", "value": "Divide 2 by 33." }, { "from": "gpt", "value": "2/33" } ]
[ { "from": "human", "value": "Let s(z) be the second derivative of -z**5/90 + 5*z**4/54 - 8*z**3/27 + 4*z**2/9 + 6*z. Determine w, given that s(w) = 0." }, { "from": "gpt", "value": "1, 2" } ]
[ { "from": "human", "value": "Calculate (11 - 5) + 1 + 1 + -3." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose -4*q = -3*u - q + 30, -u + 4*q + 25 = 0. Solve 4 = u*j - 21 for j." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "24*0.24" }, { "from": "gpt", "value": "5.76" } ]
[ { "from": "human", "value": "Simplify -5*(3 + sqrt(13) + sqrt(13))**2*-1*4." }, { "from": "gpt", "value": "240*sqrt(13) + 1220" } ]
[ { "from": "human", "value": "What is the ninth root of 6936 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let j(r) = 2*r. Let x be j(2). Suppose 5*q + x*z - 15 = 0, -3*q + 2*z = -0*q - 9. What is the second derivative of -t**2 - t - t**q + t**2 wrt t?" }, { "from": "gpt", "value": "-6*t" } ]
[ { "from": "human", "value": "Let y = -13 + 7. Let p = -7 - y. Which is the smallest value? (a) 3/8 (b) 4 (c) p" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose r + 8 + 0 = 0. Let l(s) = 81*s - 1. Let b(q) = 122*q - 1. Let v(z) = r*l(z) + 5*b(z). Is v(-8) composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many minutes are there between 12:08 PM and 2:37 PM?" }, { "from": "gpt", "value": "149" } ]
[ { "from": "human", "value": "Multiply 2 and -0.0295." }, { "from": "gpt", "value": "-0.059" } ]
[ { "from": "human", "value": "Let b = 122 - 117. Solve b*x + 0 = -3*y - 5, -y - 4*x = 4 for y." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let k(g) = -2*g**3 + 4*g**2 + g. Let m be k(3). Let p be (1 - (-21)/m)*-5. Suppose -6 + 7 - b + b**p + 3*b = 0. What is b?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Factor -169/3 - 1/3*r**2 - 26/3*r." }, { "from": "gpt", "value": "-(r + 13)**2/3" } ]
[ { "from": "human", "value": "What is the derivative of 86*b*d*l**3 + 14*b*l**3*r + 4*b*l**3 + b*r - 2*d*r - 2*l*r wrt r?" }, { "from": "gpt", "value": "14*b*l**3 + b - 2*d - 2*l" } ]
[ { "from": "human", "value": "Round 0.0002760626 to four dps." }, { "from": "gpt", "value": "0.0003" } ]
[ { "from": "human", "value": "Let m = 4 - 2. Suppose -j + 3 = m. Solve -p = -j - 4 for p." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let w = -339892 - -2715531/8. Let y = w + 452. Let q = 10561/22 + -479. What is the common denominator of y and q?" }, { "from": "gpt", "value": "88" } ]
[ { "from": "human", "value": "In base 16, what is -8 + -af?" }, { "from": "gpt", "value": "-b7" } ]
[ { "from": "human", "value": "In base 9, what is 5 + 362?" }, { "from": "gpt", "value": "367" } ]
[ { "from": "human", "value": "What is 55999.27 days in microseconds?" }, { "from": "gpt", "value": "4838336928000000" } ]
[ { "from": "human", "value": "What is the seventh root of 22961869 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is -1 divided by 1186?" }, { "from": "gpt", "value": "-1/1186" } ]
[ { "from": "human", "value": "What is the first derivative of -10*b**3 - 4*b + 164?" }, { "from": "gpt", "value": "-30*b**2 - 4" } ]