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[ { "from": "human", "value": "Let k(o) be the first derivative of -o**5/60 + 3*o**2/2 - 7. Let t(v) be the second derivative of k(v). Let f(g) = -24*g**2. What is t(f(s))?" }, { "from": "gpt", "value": "-576*s**4" } ]
[ { "from": "human", "value": "Is 1/29 equal to 11/10?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Differentiate -74*d*t + 1220*d + t**3 with respect to t." }, { "from": "gpt", "value": "-74*d + 3*t**2" } ]
[ { "from": "human", "value": "Factor 2*h**4/9 - 1082*h**3/9 + 1078*h**2/3 - 3230*h/9 + 1076/9." }, { "from": "gpt", "value": "2*(h - 538)*(h - 1)**3/9" } ]
[ { "from": "human", "value": "Let y(n) = 2*n**2 - n**2 + 0*n**2. Let c(d) = 4*d. Let z(q) = 2*q. Let b(a) = 3*c(a) - 4*z(a). What is y(b(u))?" }, { "from": "gpt", "value": "16*u**2" } ]
[ { "from": "human", "value": "5/2 - 4 - (-5)/(-2)" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 36140 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "190" } ]
[ { "from": "human", "value": "Let n(v) be the second derivative of 0*v**4 - 7*v + 0 - 7/3*v**3 + 0*v**2 - 1/2*v**5. What is the second derivative of n(c) wrt c?" }, { "from": "gpt", "value": "-60*c" } ]
[ { "from": "human", "value": "Factor 8*v**2/7 - 110*v/7 - 4." }, { "from": "gpt", "value": "2*(v - 14)*(4*v + 1)/7" } ]
[ { "from": "human", "value": "Let c(g) = 1326*g**3 + 51*g**2. Let d(h) = 53*h**3 + 2*h**2. Calculate 2*c(z) - 51*d(z)." }, { "from": "gpt", "value": "-51*z**3" } ]
[ { "from": "human", "value": "Let q(w) = 3*w**2 + 9*w + 2. Calculate the lowest common multiple of q(-6) and 12." }, { "from": "gpt", "value": "168" } ]
[ { "from": "human", "value": "How many minutes are there between 10:41 PM and 11:16 PM?" }, { "from": "gpt", "value": "35" } ]
[ { "from": "human", "value": "In base 12, what is -4 - -110?" }, { "from": "gpt", "value": "108" } ]
[ { "from": "human", "value": "Evaluate 0 - 7 - (-9 - (4 + -5))." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let r(y) = 12*y**3 - 2*y - 4. Let t(l) = 11*l**3 - 2*l - 3. Let m(s) = 3*r(s) - 4*t(s). What is the second derivative of m(a) wrt a?" }, { "from": "gpt", "value": "-48*a" } ]
[ { "from": "human", "value": "Let r = -1.6 + -0.4. Let h = r + 4. Let b = -1 - h. Which is smaller: b or -1?" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Calculate 0.12*-15." }, { "from": "gpt", "value": "-1.8" } ]
[ { "from": "human", "value": "In base 8, what is -4 - -2274?" }, { "from": "gpt", "value": "2270" } ]
[ { "from": "human", "value": "What is 420 minutes before 8:47 AM?" }, { "from": "gpt", "value": "1:47 AM" } ]
[ { "from": "human", "value": "Does 16 divide 13366?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let m(h) be the first derivative of 3*h**5/5 + 2*h**3/3 + 2. Find the third derivative of m(r) wrt r." }, { "from": "gpt", "value": "72*r" } ]
[ { "from": "human", "value": "Solve 0 = 9*u - 11*u + 2 for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 7434749 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let u be (-5 + 0 + 9)*(-2)/(-4). Solve -2 = -y - 3*d, -u*d + 2 = -0*d for y." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let c = 177 + -173. What is the second derivative of 7 + 2*w**c - 5 - 10*w**2 - 5 + 0*w**2 - 9*w wrt w?" }, { "from": "gpt", "value": "24*w**2 - 20" } ]
[ { "from": "human", "value": "Let z = -2/235 - 448/2585. Let j = 2 + -1.9. Which is the smallest value? (a) j (b) z (c) 0.2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Which is bigger: -158 or -155?" }, { "from": "gpt", "value": "-155" } ]
[ { "from": "human", "value": "Let f = -15 + 18. Solve f*t - 7*t + 20 = 0 for t." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Divide -90 by 30." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate (-15)/(-3) - (6 + 1)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate (-1)/(5/(-20)*-4)." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let o(x) be the first derivative of -x**5/60 + x**3/3 + 7*x**2/2 - 2. Let h(f) be the second derivative of o(f). Find the first derivative of h(d) wrt d." }, { "from": "gpt", "value": "-2*d" } ]
[ { "from": "human", "value": "What is the closest to 1 in 0.3, -6, 1, 101?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -a + 3 + 19 = -4*b, 5*a - 3*b = 25. Let s = 48 + -45. Suppose 2*l = 3 + 61. Solve l = -s*i + 4*y, 0 = 3*i + a*y - 7*y + 37 for i." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve 0 = -o + 2*t - 3, -34 = -5*o - 5*t - 4 for o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the next term in 12868, 25725, 38580, 51433, 64284, 77133?" }, { "from": "gpt", "value": "89980" } ]
[ { "from": "human", "value": "What is the q'th term of 259, 521, 783, 1045, 1307?" }, { "from": "gpt", "value": "262*q - 3" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 138 and 6." }, { "from": "gpt", "value": "138" } ]
[ { "from": "human", "value": "What is the next term in -3, -12, -33, -72, -135?" }, { "from": "gpt", "value": "-228" } ]
[ { "from": "human", "value": "Simplify 5 + 5*-1*sqrt(1377)*-2." }, { "from": "gpt", "value": "5 + 90*sqrt(17)" } ]
[ { "from": "human", "value": "Let d = -28 + 33. Solve 5 + 0 = -d*k for k." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 599 minutes after 1:56 PM?" }, { "from": "gpt", "value": "11:55 PM" } ]
[ { "from": "human", "value": "What is the highest common divisor of 324 and 12?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is -103 minus 44?" }, { "from": "gpt", "value": "-147" } ]
[ { "from": "human", "value": "Is 18737 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Add together 3 and -2173.2." }, { "from": "gpt", "value": "-2170.2" } ]
[ { "from": "human", "value": "Let f = 3 - 1. Let c be ((-1)/(4 - -7))/((-1)/2). Let o(l) = l**2 - 9*l + 11. Let n be o(8). What is the nearest to 1/4 in c, n, f?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose 3*y = y + 14. Let a(g) = g**2 - 6*g - 7. Let p be a(y). Suppose p = -4*x + x + 33. Solve -2*q = z + x, 4*z + 3 = -9 for q." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -10 (b) -36/7 (c) -32 (d) -2/115" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Find the common denominator of 71/20 and 51/1270916." }, { "from": "gpt", "value": "6354580" } ]
[ { "from": "human", "value": "Is 10 a factor of 890?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let y(f) = f**2 + 8*f - 3. Let u be y(-9). Suppose -u = 3*o - 5*o. Suppose 5*v + 3*a = 6 + 34, 10 = -o*v + 5*a. Solve k + 2*n = 5*n + 2, 2*k + 18 = -v*n for k." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the third derivative of -632*q**3 - 142*q**2?" }, { "from": "gpt", "value": "-3792" } ]
[ { "from": "human", "value": "What is the third derivative of -34*y**3 + 104*y**2?" }, { "from": "gpt", "value": "-204" } ]
[ { "from": "human", "value": "Which is the nearest to -1? (a) -3 (b) -21/2 (c) -4 (d) -0.5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Solve -12 = -3*m, -5*m - 16 = 2*n - 8*m for n." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the nearest to -10/29 in 0.03, -0.4, -0.1?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Is 46853 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor a**2/2 + 44*a + 968." }, { "from": "gpt", "value": "(a + 44)**2/2" } ]
[ { "from": "human", "value": "Is 117953 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 0.00759 rounded to three decimal places?" }, { "from": "gpt", "value": "0.008" } ]
[ { "from": "human", "value": "Let q(s) = s**2 + 5*s + 1. Let m be q(-6). Suppose -2*h + m*h - 68 = 4*r, 2*r + 58 = 4*h. Solve -x = 5*t - 3*x + 20, -4*t + x - h = 0 for t." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let l(w) = w + 7. Let n be l(-5). Let c be -1*(-1 - (-2)/n). Determine m, given that -m**2 + 6 + 2*m - 7 + c*m = 0." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 204 minutes before 6:19 PM?" }, { "from": "gpt", "value": "2:55 PM" } ]
[ { "from": "human", "value": "Express -y**3 - 6 - 269*y + 269*y in the form z*y**2 + c*y**3 + x*y + s and give s." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let f be (-2)/(-9) - 2380/18. Let w = 392/3 + f. Which is the closest to -0.1? (a) 2/9 (b) -0.2 (c) w" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve -3*h + 11 - 8 = 0 for h." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 2927 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Express -1 + 10*u**3 + 3*u**2 - 5*u**2 - 64*u**3 + 3*u**2 - 135*u**3 as t + w*u**2 + l*u**3 + g*u and give g." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Factor -5*d**2 - 430*d - 3465." }, { "from": "gpt", "value": "-5*(d + 9)*(d + 77)" } ]
[ { "from": "human", "value": "Let p = 0.24 - -4.76. Which is the second biggest value? (a) -2/5 (b) 4 (c) p" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Does 6 divide 348?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is -5 divided by -7?" }, { "from": "gpt", "value": "5/7" } ]
[ { "from": "human", "value": "(-16)/10*(-5)/(-2)" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let o be (-4)/30 + 760/75. Suppose 549 = o*m - 1101. What is the remainder when m is divided by 42?" }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "5 divided by -7022" }, { "from": "gpt", "value": "-5/7022" } ]
[ { "from": "human", "value": "Which is smaller: -3/1039 or -1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -40*u + 5740 = -12*u. Solve 0 = -209*d + u*d - 16 for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Evaluate -2 + (-6 - -6) - (-1 + -2)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 2*x + 2*d + 13 = 9, -x - 5*d - 6 = 0 for x." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -32 = 3*o + o. Let w(j) = -j**2 - 9*j - 3. Let c be w(o). Let n(r) = r**2 + 8*r - 11. Let f be n(-9). Sort f, 0, c in descending order." }, { "from": "gpt", "value": "c, 0, f" } ]
[ { "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": "Is 568843754 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the remainder when 295 is divided by 50?" }, { "from": "gpt", "value": "45" } ]
[ { "from": "human", "value": "Suppose 2*d + 4 + 6 = -4*x, 15 = -3*d - 4*x. Let u = d + 10. Solve -v + l = 6, 4*l - 30 = u*v - 5 for v." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let k = -8/11 + 2/33. Which is the closest to k? (a) 0 (b) -0.6 (c) 2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the m'th term of -330, -387, -488, -639, -846, -1115, -1452?" }, { "from": "gpt", "value": "-m**3 - 16*m**2 - 2*m - 311" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 8 and 1806?" }, { "from": "gpt", "value": "7224" } ]
[ { "from": "human", "value": "Factor -2*x**4 + 20*x**3 - 64*x**2 + 76*x - 30." }, { "from": "gpt", "value": "-2*(x - 5)*(x - 3)*(x - 1)**2" } ]
[ { "from": "human", "value": "Does 34 divide (-1440)/(-1200) + 4649/(-10)*-2?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is smaller: 442/285 or -2/7?" }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "What is the value of (3/(-2))/((-8)/((-160)/(-15)))?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What comes next: -6561, -13124, -19687, -26250, -32813?" }, { "from": "gpt", "value": "-39376" } ]
[ { "from": "human", "value": "What is the first derivative of 61*i**3 - 21 + 4947*i - 4947*i wrt i?" }, { "from": "gpt", "value": "183*i**2" } ]
[ { "from": "human", "value": "Suppose 4*y = 65*j - 68*j + 894, -5*j = 5*y - 1125. What is the remainder when y is divided by 20?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Let x(b) = -7*b**2 + 6*b - 7. Let c(t) be the first derivative of t**3/3 - t**2/2 + t - 13. Determine -6*c(w) - x(w)." }, { "from": "gpt", "value": "w**2 + 1" } ]
[ { "from": "human", "value": "Which is the nearest to 2? (a) -0.01 (b) 2/5 (c) 4 (d) -9" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Put -17, -16, -4 in increasing order." }, { "from": "gpt", "value": "-17, -16, -4" } ]
[ { "from": "human", "value": "What is 282 to the power of 1/9, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 14, what is -2 - -1d5d?" }, { "from": "gpt", "value": "1d5b" } ]