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[ { "from": "human", "value": "Let f(x) = x**4 + x**3 + x**2 - x - 1. Let l(b) = -4*b**5 - 3*b**4 + b**3 - 3*b**2 + 3*b + 3. Let q(t) = -3*f(t) - l(t). Let q(r) = 0. What is r?" }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Let r = -4.04 + 0.04. Let o = -3.98 - r. Round o to 2 decimal places." }, { "from": "gpt", "value": "0.02" } ]
[ { "from": "human", "value": "Sort 1/5, -1/11, -0.2 in decreasing order." }, { "from": "gpt", "value": "1/5, -1/11, -0.2" } ]
[ { "from": "human", "value": "Let i = 2 - 1. Suppose -4*o - 53 = 4*n - 177, -3*o + 124 = 4*n. Solve -2*k + i = -3*f + 2, -5*k - 2*f - n = 0 for k." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "19 - 17 - (8 - 1)" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the value of 5/((12/18)/(6/(-9)))?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the y'th term of 46, 205, 460, 805, 1234, 1741?" }, { "from": "gpt", "value": "-y**3 + 54*y**2 + 4*y - 11" } ]
[ { "from": "human", "value": "In base 11, what is 1810 + -4?" }, { "from": "gpt", "value": "1807" } ]
[ { "from": "human", "value": "Evaluate (-5 - -2) + 1 - 3." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Which is smaller: -64 or -63?" }, { "from": "gpt", "value": "-64" } ]
[ { "from": "human", "value": "What is the common denominator of -35/44 and 89/2632?" }, { "from": "gpt", "value": "28952" } ]
[ { "from": "human", "value": "What is the l'th term of 1105, 2211, 3331, 4471, 5637?" }, { "from": "gpt", "value": "l**3 + l**2 + 1096*l + 7" } ]
[ { "from": "human", "value": "Round 4.539827 to 1 decimal place." }, { "from": "gpt", "value": "4.5" } ]
[ { "from": "human", "value": "Sort 2/5, -168, 3, 0." }, { "from": "gpt", "value": "-168, 0, 2/5, 3" } ]
[ { "from": "human", "value": "-0.2*86.4" }, { "from": "gpt", "value": "-17.28" } ]
[ { "from": "human", "value": "Let y = -29 - -18. Let k = -6 - y. Suppose 15 = -4*u + 5*p, 0 = -5*u - p - 1 + 4. Solve -2*z + 7*z - k = u for z." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let v = -4 + 6. Let u(c) = -5*c + c**v + 4 + 0*c + 0*c. Let f(y) = y**2 - 4*y + 3. Let p(d) = 5*f(d) - 4*u(d). What is the first derivative of p(q) wrt q?" }, { "from": "gpt", "value": "2*q" } ]
[ { "from": "human", "value": "Calculate -672 divided by 48." }, { "from": "gpt", "value": "-14" } ]
[ { "from": "human", "value": "3.75 * -5" }, { "from": "gpt", "value": "-18.75" } ]
[ { "from": "human", "value": "What is the tens digit of 17?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is smaller: -158 or -157?" }, { "from": "gpt", "value": "-158" } ]
[ { "from": "human", "value": "Let b = 373 - 1499/4. Calculate the common denominator of b and 53/28." }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Determine a, given that -2*a**5 + 34*a**4 + 52*a**3 - 264*a**2 - 432*a = 0." }, { "from": "gpt", "value": "-2, 0, 3, 18" } ]
[ { "from": "human", "value": "What is -566178 - 0.5?" }, { "from": "gpt", "value": "-566178.5" } ]
[ { "from": "human", "value": "-2 + 4 - (-51 + 54)" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let f be (-4)/20 - (-32)/10. Let o = 6 - f. Let 2 - 11*t - 7*t**o - 3*t**2 + 20*t**2 - t**2 = 0. Calculate t." }, { "from": "gpt", "value": "2/7, 1" } ]
[ { "from": "human", "value": "Find y such that -2*y**2 - 56*y - 54 = 0." }, { "from": "gpt", "value": "-27, -1" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) 1 (b) 0.044 (c) 0.03" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Do 1 and 17/18 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let q(p) = -p**3 + p**2 + 4*p - 2. Let m be q(2). Suppose 5*i = -2*v + 9, -2*i = 4*v + 3*i - 13. Find x such that -2*x + 4*x + v*x - x**m - 4 = 0." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Find the third derivative of -4*a**2*i**3*q + 58*a**2*i**3 + a**2*i**2*q - 6*a**2*i - 11*i*q wrt i." }, { "from": "gpt", "value": "-24*a**2*q + 348*a**2" } ]
[ { "from": "human", "value": "Which is bigger: 679304 or 679302?" }, { "from": "gpt", "value": "679304" } ]
[ { "from": "human", "value": "What is the remainder when 96 is divided by 17?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let w = 7 + -5. Solve -m = -2 - w for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 4*t**5 + 356*t**4 - 360*t**3 = 0. What is t?" }, { "from": "gpt", "value": "-90, 0, 1" } ]
[ { "from": "human", "value": "Let b(c) be the second derivative of -1/2*c**3 + 0*c**4 + 0 + 6*c + 0*c**2 - 1/4*c**5. Find the second derivative of b(v) wrt v." }, { "from": "gpt", "value": "-30*v" } ]
[ { "from": "human", "value": "In base 5, what is -102 - 1?" }, { "from": "gpt", "value": "-103" } ]
[ { "from": "human", "value": "What is the closest to -62 in -2/7, -2, 0.3?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 13, what is -31b - 8?" }, { "from": "gpt", "value": "-326" } ]
[ { "from": "human", "value": "Let j = 2 - -3. Let a = j - 3. Let q = -1.9 + a. What is the biggest value in 0.5, -1/9, q?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "Suppose 0 = -l + 4*l - 6, 4*i - l = -2. Suppose -5*g - 25 = 2*s, 4*s - 2*g + 4*g = -42. Let r = s - -12. Solve i = 2*k + r*y + 2*y + 26, -y = 5*k + 29 for k." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let w(s) be the third derivative of s**8/840 - 2*s**7/525 - s**6/150 + 2*s**5/75 + s**4/60 - 2*s**3/15 - 4*s**2. Find t, given that w(t) = 0." }, { "from": "gpt", "value": "-1, 1, 2" } ]
[ { "from": "human", "value": "Evaluate (-16)/(-10)*(-12)/((-120)/(-25))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Round 0.00005308 to 6 decimal places." }, { "from": "gpt", "value": "5.3e-05" } ]
[ { "from": "human", "value": "What is 646 minutes before 1:51 AM?" }, { "from": "gpt", "value": "3:05 PM" } ]
[ { "from": "human", "value": "Let w = 2 - 0. Suppose -w*v - 4*v = 18. Which is the second smallest value? (a) v (b) 3 (c) 0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Factor -5*a**2 + 270*a - 265." }, { "from": "gpt", "value": "-5*(a - 53)*(a - 1)" } ]
[ { "from": "human", "value": "1/(120/5)*3" }, { "from": "gpt", "value": "1/8" } ]
[ { "from": "human", "value": "Is 47521 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -4*b = -0*b - 40. Let d be (-19)/(-5) - (-2)/b. Solve 0*v = -v - d for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the x'th term of -5112, -10222, -15332, -20442, -25552, -30662?" }, { "from": "gpt", "value": "-5110*x - 2" } ]
[ { "from": "human", "value": "Solve -4*x - 2*i = 12, 2 = 5*x - 3*x - i for x." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "How many minutes are there between 4:58 PM and 12:17 AM?" }, { "from": "gpt", "value": "439" } ]
[ { "from": "human", "value": "What is the units digit of 16174?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the remainder when 124 is divided by 30." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose s - 34 = -g + 6*s, 3*g - 102 = -2*s. Does 23 divide g?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -1 divided by -20?" }, { "from": "gpt", "value": "1/20" } ]
[ { "from": "human", "value": "What is the closest to -1170 in -5, 2/13, -1/3?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let a(t) = -t**2 + t + 4. Let n be a(0). Suppose 0*q = -n*q + 16. What is the remainder when 10 is divided by q/((-12)/9 + 2)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the m'th term of -112, -208, -304?" }, { "from": "gpt", "value": "-96*m - 16" } ]
[ { "from": "human", "value": "In base 15, what is 4d + 4a?" }, { "from": "gpt", "value": "98" } ]
[ { "from": "human", "value": "Which is the closest to -2/5? (a) 2 (b) 1 (c) 0.1 (d) 8" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) 3/7 (b) 4 (c) -28" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Is -37 at least as big as -36?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -8*j - 4*t = -3*j - 41, -2*j + 14 = t for j." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let w be (10/(-8))/(3/(-12)). Suppose -w*m - n + 0*n = -22, 0 = 5*m - 2*n - 31. What is the second smallest value in m, 0.2, 3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Differentiate -150*o**3 - 2*o**2 + 383." }, { "from": "gpt", "value": "-450*o**2 - 4*o" } ]
[ { "from": "human", "value": "Suppose 13*c - 14*c = -169. Is 13 a factor of c?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let q(v) = -4*v**3 - 1. Let h be q(-1). Solve -2*c - c - h = 0 for c." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate 10 + -19 + (11 - 2)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let x(s) = 3*s. Let k(l) = 5*l**2 + 4*l. Let m(p) = -9*p**2 - 7*p - 1. Let t(f) = 7*k(f) + 4*m(f). Let g(d) be the first derivative of t(d). Give x(g(z))." }, { "from": "gpt", "value": "-6*z" } ]
[ { "from": "human", "value": "Does 68 divide 4964?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the s'th term of 7, 16, 47, 112, 223, 392, 631, 952?" }, { "from": "gpt", "value": "2*s**3 - s**2 - 2*s + 8" } ]
[ { "from": "human", "value": "Solve 2*t = 3*y + 9 - 0, -2*y - 6 = -4*t for t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let t = -23 + 73. Does 10 divide t?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 12317 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 5*j - 2*b + 44 = 0, 4*j = 5*b - 29 + 4. Is j smaller than -11?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 0 = 4*g + 4*b - 17 - 3, 3*g + 2*b - 16 = 0. Solve -2*o = 2 - g for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is -8 at least -7?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What comes next: -2817, -5636, -8455, -11274, -14093?" }, { "from": "gpt", "value": "-16912" } ]
[ { "from": "human", "value": "Suppose -z = -d + 1, 5*z + 7*d - 5 = 2*d. Suppose z = 4*m + m + 5*y, -24 = 4*m - 2*y. Let t = -0.027 + 1.027. What is the closest to t in m, -3, 0.3?" }, { "from": "gpt", "value": "0.3" } ]
[ { "from": "human", "value": "Simplify sqrt(5) + (sqrt(15)/(sqrt(3) - sqrt(27)))**2 + 1." }, { "from": "gpt", "value": "sqrt(5) + 9/4" } ]
[ { "from": "human", "value": "Calculate the remainder when 1383 is divided by 607." }, { "from": "gpt", "value": "169" } ]
[ { "from": "human", "value": "Solve 3*b + 2*b = -20, 0 = -5*h - 3*b - 37 for h." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is next in 301, 618, 933, 1246?" }, { "from": "gpt", "value": "1557" } ]
[ { "from": "human", "value": "Solve -3*a + 6 = -i, -8*i - 3 = -12*i + 3*a for i." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Put -0.04, -5, 16, -3, 4/5 in decreasing order." }, { "from": "gpt", "value": "16, 4/5, -0.04, -3, -5" } ]
[ { "from": "human", "value": "Is 43735 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Divide -2210 by -442." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is ((-1)/(-10))/((-52)/208)?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Solve 2*f + 12 = 4*q, 0 = -4*q + q + 4*f - 1 for q." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Evaluate 4 + -4 - (2 + (-1 - 1))." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let y(u) be the first derivative of -1/3*u**2 - 2/15*u**5 - 8 - 1/9*u**6 + 1/3*u**4 + 4/9*u**3 - 2/3*u. Determine v so that y(v) = 0." }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "Let k = -59941/6 - -10014. Find the common denominator of k and -65/33." }, { "from": "gpt", "value": "66" } ]
[ { "from": "human", "value": "Does 12 divide 444?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 3 > -12?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let c(g) = -3. Let q(a) = -a - 1. Let f(p) = c(p) + 3*q(p). Calculate the remainder when 15 is divided by f(-5)." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose a + 3*f - 13 = 0, 17 - 49 = -5*a - 4*f. Solve -a*l + 5 - 1 = 0 for l." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify -1 + -4 + sqrt(3) + (sqrt(3) + 1 + sqrt(3))**2 + -2." }, { "from": "gpt", "value": "6 + 5*sqrt(3)" } ]
[ { "from": "human", "value": "What is 0.037 take away -128?" }, { "from": "gpt", "value": "128.037" } ]