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math

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[ { "from": "human", "value": "Which is greater: 0 or -132/91?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 119*j - 172*j = 583 for j." }, { "from": "gpt", "value": "-11" } ]
[ { "from": "human", "value": "Calculate 0 + 4 + -1 - (-243 + 248)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let l = 675779/67020 - -1/11170. What is the common denominator of -3/14 and l?" }, { "from": "gpt", "value": "84" } ]
[ { "from": "human", "value": "Let n(j) be the third derivative of -j**5/20 - j**3/2 - 4*j**2. Let p(h) = -h**2 - 2. Let y(o) = 3*n(o) - 7*p(o). Differentiate y(g) with respect to g." }, { "from": "gpt", "value": "-4*g" } ]
[ { "from": "human", "value": "Let p(q) be the first derivative of -1/3*q + 1 - 1/9*q**3 - 1/3*q**2. Find b, given that p(b) = 0." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let y be 1*(-1)/(3 + 0). Let x be (-1 + 3)*21/42. Which is the biggest value? (a) x (b) y (c) 9" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "-3 * -1776" }, { "from": "gpt", "value": "5328" } ]
[ { "from": "human", "value": "In base 4, what is -10 + 222?" }, { "from": "gpt", "value": "212" } ]
[ { "from": "human", "value": "What is the ten thousands digit of 2232904?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Work out -6 - 146.1." }, { "from": "gpt", "value": "-152.1" } ]
[ { "from": "human", "value": "Divide 120 by 40." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 5, what is -43303 - -3?" }, { "from": "gpt", "value": "-43300" } ]
[ { "from": "human", "value": "Suppose 5*c = -10, 3*h = -0*h - 2*c + 11. Let d be 4/(-10) - (-22)/h. Let q = 476 - 474. Solve -q*x + x - d = 0 for x." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the second smallest value in -2/9, -2/5, -151?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Suppose 7*t + 13 = 3*t - 5*x, 3*x - 1 = 2*t. Let m(v) = 3*v**2 - 4*v - 2. Calculate m(t)." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "What is next in 59, 59, 69, 95, 143?" }, { "from": "gpt", "value": "219" } ]
[ { "from": "human", "value": "Let i = -0.07 + 0.17. Let g = i + -0.4. Let f = -2 - -3. Which is the second smallest value? (a) g (b) 2 (c) f" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let t(i) = -3*i - 8. Let d(r) = 2*r - 16. Calculate the remainder when t(-7) is divided by d(10)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "How many minutes are there between 1:09 PM and 2:00 PM?" }, { "from": "gpt", "value": "51" } ]
[ { "from": "human", "value": "Solve -29*s + 30*s = -1 for s." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "In base 15, what is -17 - 1bb?" }, { "from": "gpt", "value": "-1d3" } ]
[ { "from": "human", "value": "Let h = 154 + -151. Solve h + 1 = -2*k for k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -2/11 (b) 13.5 (c) -3/7 (d) -67/9 (e) -2 (f) 3/4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let a(w) be the second derivative of w**8/168 - w**6/36 + w**3/2 + 3*w. Let p(q) be the second derivative of a(q). What is the third derivative of p(r) wrt r?" }, { "from": "gpt", "value": "240*r" } ]
[ { "from": "human", "value": "Simplify -2 + (sqrt(200) + sqrt(200)*3 + -3)**2." }, { "from": "gpt", "value": "3207 - 240*sqrt(2)" } ]
[ { "from": "human", "value": "Suppose 52 - 12 = 5*y. Suppose -8*v + 2*v = -18. Solve -v*h = y + 4 for h." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let t(h) = 3*h - 2*h - h + 2*h. Let d(o) = -1. Suppose 0*b = 5*b - 15. Let j(n) = 8 - n. Let f(c) = b*j(c) + 24*d(c). What is t(f(i))?" }, { "from": "gpt", "value": "-6*i" } ]
[ { "from": "human", "value": "Solve 12 = 4*v - 4*u, -22*v + 23*v + 5*u + 21 = 0 for v." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) -2/7 (b) 0.047 (c) -7 (d) -1/2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Is -3333 at most as big as -6669/2?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor -z**3/6 - 233*z**2/2 - 40833*z/2 - 121801/6." }, { "from": "gpt", "value": "-(z + 1)*(z + 349)**2/6" } ]
[ { "from": "human", "value": "Let g(o) = o**2 - 2*o + 1. Let i be g(6). Let y = 45 - i. Suppose -6*t = -t - y. Solve -c = t*c - 5 for c." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 611 minutes before 2:38 PM?" }, { "from": "gpt", "value": "4:27 AM" } ]
[ { "from": "human", "value": "Evaluate 2 + -12 + 17 - 9." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the nearest to 1 in 0.104576, 0, 10/3?" }, { "from": "gpt", "value": "0.104576" } ]
[ { "from": "human", "value": "Let b be 8/10*(10 - 0). Suppose 2 = -s + b. Let o = 0 + s. List the prime factors of o." }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Determine q so that q**2/6 - 59*q/6 + 94 = 0." }, { "from": "gpt", "value": "12, 47" } ]
[ { "from": "human", "value": "Divide 608 by 2." }, { "from": "gpt", "value": "304" } ]
[ { "from": "human", "value": "Product of -1099 and 0.5." }, { "from": "gpt", "value": "-549.5" } ]
[ { "from": "human", "value": "Solve 125*r - 124*r - 2 = 0 for r." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is next in 956, 949, 930, 893, 832, 741, 614?" }, { "from": "gpt", "value": "445" } ]
[ { "from": "human", "value": "Let t(j) = -4*j**2 - 7*j - 9. Let r(l) = l**2 + l + 1. Let i(s) = -36*r(s) - 4*t(s). Let b(g) = -7*g**2 - 3*g. Determine -14*b(k) + 5*i(k)." }, { "from": "gpt", "value": "-2*k**2 + 2*k" } ]
[ { "from": "human", "value": "Let x(p) = 4 - 2*p. Let y be x(-2). Let h be 28/y + (-1)/(-2). Let q be (2/(-6))/((-3)/18). Sort q, h, -4 in ascending order." }, { "from": "gpt", "value": "-4, q, h" } ]
[ { "from": "human", "value": "Differentiate -125*z**4 + 128 + 67*z**4 - 7*z**2 + 55*z**4 with respect to z." }, { "from": "gpt", "value": "-12*z**3 - 14*z" } ]
[ { "from": "human", "value": "What is the third derivative of 190*l**3*y**2 - 2*l**2*y**2 + 20*l*y**2 wrt l?" }, { "from": "gpt", "value": "1140*y**2" } ]
[ { "from": "human", "value": "Let g be -14*(-5)/(-50) - -2. Which is the smallest value? (a) -5 (b) 3/2 (c) g" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "-1 times 1.907" }, { "from": "gpt", "value": "-1.907" } ]
[ { "from": "human", "value": "Solve 44 = 26*n - 15*n for n." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the cube root of 6910 to the nearest integer?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "What is the value of 2 - (3 - (-2 - -8) - -1)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let z = 21 + -3. What is the second biggest value in 3, 0, 2, z?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let m be 36/10 - 20/(-50). Let l(z) = -7*z**2 + 8*z + 9. Let w(k) = 10*k**2 - 12*k - 13. Let c(d) = -7*l(d) - 5*w(d). Let i be c(m). Solve -2 = 4*r + i for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Factor 2*w**2/17 + 98*w/17 + 360/17." }, { "from": "gpt", "value": "2*(w + 4)*(w + 45)/17" } ]
[ { "from": "human", "value": "Evaluate -7 - (-9 - (-6 - 0))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is -3 + (4 - 1) + (2 - 4)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the value of 1 + (4 - 7 - -2)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate ((-3)/(-5))/((-126)/(-70))." }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "Let y = 46 - 15. Calculate the remainder when y is divided by 11." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the closest to -1/8 in 1/2, 2, -23/5?" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "What is the next term in 6648, 6645, 6640, 6633, 6624, 6613, 6600?" }, { "from": "gpt", "value": "6585" } ]
[ { "from": "human", "value": "Solve 0 = -364*i + 354*i + 40 for i." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Sort 0, 4, -5, 1." }, { "from": "gpt", "value": "-5, 0, 1, 4" } ]
[ { "from": "human", "value": "Let u(v) = 16*v**2 - v + 4. Let s be u(2). Suppose 11*x - s = 9*x. Calculate the greatest common divisor of x and 22." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let s(w) = w**3 + 6*w**2 + 3*w - 13. Let m be s(-5). Let x(i) = -i - 8. Let a be x(-6). Put a, m, 4 in decreasing order." }, { "from": "gpt", "value": "4, a, m" } ]
[ { "from": "human", "value": "Let r(g) = g + 19. Let m be r(-16). Solve -m*z = -11 + 8 for z." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is -2528057 (base 10) in base 13?" }, { "from": "gpt", "value": "-6a68bc" } ]
[ { "from": "human", "value": "Suppose 6 + 4 = 5*f. Suppose -5*g - 4*n - 5 = -f, -4*n = -12. What is the lowest common multiple of (-4)/g*(4 - -2) and 2?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let a = -0.038 - 0.762. What is the nearest to 0 in -0.3, a, 3?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "What is the q'th term of 82, 76, 74, 82, 106, 152?" }, { "from": "gpt", "value": "q**3 - 4*q**2 - q + 86" } ]
[ { "from": "human", "value": "What is -0.8 less than -1284?" }, { "from": "gpt", "value": "-1283.2" } ]
[ { "from": "human", "value": "Simplify (m*m*m**33)/((m/(m*m*m**(-34)*m))/m) assuming m is positive." }, { "from": "gpt", "value": "m**4" } ]
[ { "from": "human", "value": "What is the remainder when 329 is divided by 46?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "How many minutes are there between 5:01 AM and 12:55 PM?" }, { "from": "gpt", "value": "474" } ]
[ { "from": "human", "value": "Which is the sixth smallest value? (a) 13 (b) 4 (c) -2/29 (d) 107 (e) 0 (f) 0.5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 31 (b) -1/3 (c) -0.4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let q(y) be the first derivative of -4*y**3/3 + 4*y**2 - 15. Factor q(j)." }, { "from": "gpt", "value": "-4*j*(j - 2)" } ]
[ { "from": "human", "value": "What is the second derivative of 15*k**4 - 3*k + 4*k + 8*k**4 - 36*k**4 wrt k?" }, { "from": "gpt", "value": "-156*k**2" } ]
[ { "from": "human", "value": "Put -2, 11, -1, 4 in decreasing order." }, { "from": "gpt", "value": "11, 4, -1, -2" } ]
[ { "from": "human", "value": "What is the next term in -37, -74, -111?" }, { "from": "gpt", "value": "-148" } ]
[ { "from": "human", "value": "Factor -2*y**2 + 21*y - 55." }, { "from": "gpt", "value": "-(y - 5)*(2*y - 11)" } ]
[ { "from": "human", "value": "Solve -3*r - 4 = 2*q, -16*r + 21*r = 5*q + 35 for r." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 101 = 55*q - 394 for q." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Express -82 + 0*k**3 + k**4 + 4*k**3 + 53 + 45 as g*k + n*k**4 + i*k**3 + y*k**2 + h and give h." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "What is the remainder when 4424 is divided by 246?" }, { "from": "gpt", "value": "242" } ]
[ { "from": "human", "value": "In base 3, what is -1012201 - -2?" }, { "from": "gpt", "value": "-1012122" } ]
[ { "from": "human", "value": "What is the value of (-4 - 1)*(-348)/435?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let d(z) = 5 - z. Let i(v) = v**2 - 2*v + 3. Let p be i(3). Let o be d(p). Is -4 smaller than o?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is smaller: 1174 or 1173?" }, { "from": "gpt", "value": "1173" } ]
[ { "from": "human", "value": "Let m be ((-24)/(-18))/(586/3). Let i = 9980/2637 - m. What is the common denominator of -37/18 and i?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Suppose -5*j + 10 = -0*j. Let u(b) = 6*b**2 - b + 1. Let t be u(1). Let v be 5 + -5 + (t - 3). Is j >= v?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the highest common factor of 56 and 1512?" }, { "from": "gpt", "value": "56" } ]
[ { "from": "human", "value": "Calculate ((-2)/(1*-6))/(322/138)." }, { "from": "gpt", "value": "1/7" } ]
[ { "from": "human", "value": "-103 (base 6) to base 13" }, { "from": "gpt", "value": "-30" } ]
[ { "from": "human", "value": "What is -887 rounded to the nearest ten?" }, { "from": "gpt", "value": "-890.0" } ]
[ { "from": "human", "value": "Let y = 8 - 5. Suppose j = y*v - 18, 0 = 3*j + j. Calculate the remainder when 29 is divided by 25/2*v/5." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Divide 1224 by -136." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Is 789941 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the v'th term of -13493, -13488, -13481, -13472, -13461, -13448?" }, { "from": "gpt", "value": "v**2 + 2*v - 13496" } ]
[ { "from": "human", "value": "Let l(j) be the third derivative of j**8/252 - 2*j**7/105 + j**6/72 + j**5/18 - j**4/8 + j**3/9 - 4*j**2. Suppose l(a) = 0. What is a?" }, { "from": "gpt", "value": "-1, 1/2, 1, 2" } ]