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[ { "from": "human", "value": "Let u = -3 - -4. Let w(v) = -3*v**3 + v**2 + v - 1. Let c be w(u). Let y = 4 + c. Solve y = -2*k + 12 for k." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the fifth root of 184323453 to the nearest integer?" }, { "from": "gpt", "value": "45" } ]
[ { "from": "human", "value": "What comes next: 3550, 3891, 4514, 5419?" }, { "from": "gpt", "value": "6606" } ]
[ { "from": "human", "value": "Suppose 0 = -3*c + 6*k - 3*k + 3, -5*k - 5 = -3*c. Sort -8, c, 2, -5." }, { "from": "gpt", "value": "-8, -5, c, 2" } ]
[ { "from": "human", "value": "What is the third root of 12172 to the nearest integer?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Let d = -63 + 67. Solve -6 = d*q + 10 for q." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "4 + -7 - (-1)/(2/6)" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let f = -9 + 14. Let z(y) = 3*y**2 + 2. Let h be z(f). Suppose 5*s + n = 3*n + h, -2*s = n - 29. Is 7 a factor of s?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the second biggest value in -2/11, 0.096, -2/3, 1/6, -1/6?" }, { "from": "gpt", "value": "0.096" } ]
[ { "from": "human", "value": "Solve 0 = -17*s + 19*s for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the remainder when 63 is divided by 19?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose 12 = -r - r + 4*z, -z = -3*r + 7. Solve r*s + 7 = 3*s - 5*u, -5*u = 10 for s." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve -21*w - 19 = 44 for w." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 22433 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let f = 0.2 - 0.7. Let m = 3486 - 3477.006. Let s = 0.006 + m. Which is the second biggest value? (a) 5 (b) f (c) s" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let x be 2/(-4)*(-135 + 3). Suppose -3*o = -0*o - x. List the prime factors of o." }, { "from": "gpt", "value": "2, 11" } ]
[ { "from": "human", "value": "Let q(j) be the second derivative of -4/3*j**3 + 3/2*j**2 - 5*j + 0. Find the first derivative of q(i) wrt i." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Simplify (sqrt(176) + -2*-1*sqrt(176))/(sqrt(44)/(sqrt(44)/sqrt(4)))." }, { "from": "gpt", "value": "6*sqrt(11)" } ]
[ { "from": "human", "value": "Let z = 1 - -1. Suppose 3*m = 3*v + 7*m + 6, 0 = -5*v + 5*m + 25. Suppose -v*s = -6*s + 24. Solve 3*f - s = -k + z*k, 4*f = -5*k - 11 for f." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 3, what is -11 + 12200200221101022?" }, { "from": "gpt", "value": "12200200221101011" } ]
[ { "from": "human", "value": "What is the next term in -87, -157, -215, -255, -271?" }, { "from": "gpt", "value": "-257" } ]
[ { "from": "human", "value": "Suppose 2 = u - 7. Let r be 4/(-32) - (-57)/8. Calculate the remainder when u is divided by (3 - r - 1)*-1." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Put together 7 and 0.425." }, { "from": "gpt", "value": "7.425" } ]
[ { "from": "human", "value": "Let l = 2 + -2. Let t be -1*l/(-3)*1. Suppose t = -2*p - 2*p. Is p less than or equal to -1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 4145 divided by -5?" }, { "from": "gpt", "value": "-829" } ]
[ { "from": "human", "value": "What is the smallest value in -1.818, -2, 0?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let b(m) be the first derivative of -5*m**4/2 - 7*m**3/3 - 7*m**2/2 - 7*m - 16. Let s(r) = 7*r**3 + 5*r**2 + 5*r + 5. Give -5*b(n) - 7*s(n)." }, { "from": "gpt", "value": "n**3" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 100 and 275." }, { "from": "gpt", "value": "1100" } ]
[ { "from": "human", "value": "What is -6 (base 12) in base 11?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the fifth smallest value in 11, 2, -0.5, -3/7, -2?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Is 100447 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What are the prime factors of 8162?" }, { "from": "gpt", "value": "2, 7, 11, 53" } ]
[ { "from": "human", "value": "What are the prime factors of 159564188?" }, { "from": "gpt", "value": "2, 7, 277, 2939" } ]
[ { "from": "human", "value": "What is the x'th term of 30, 69, 106, 141, 174, 205?" }, { "from": "gpt", "value": "-x**2 + 42*x - 11" } ]
[ { "from": "human", "value": "-8 - 0 - -2 - -11" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Factor 2*c**5/7 - 4*c**4/7 - 36*c**3/7 - 64*c**2/7 - 46*c/7 - 12/7." }, { "from": "gpt", "value": "2*(c - 6)*(c + 1)**4/7" } ]
[ { "from": "human", "value": "What is the y'th term of 94, 97, 100?" }, { "from": "gpt", "value": "3*y + 91" } ]
[ { "from": "human", "value": "Let g = -35/4 + 9. Which is the nearest to g? (a) 1/3 (b) 3 (c) 1/4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the h'th term of -56, -110, -200, -344, -560, -866?" }, { "from": "gpt", "value": "-3*h**3 - 33*h - 20" } ]
[ { "from": "human", "value": "What is the second biggest value in 2, 1/39, -0.07, 2/7?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) 0.3 (b) -7 (c) 0.09" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the q'th term of -1003, -2025, -3047, -4069, -5091, -6113?" }, { "from": "gpt", "value": "19 - 1022*q" } ]
[ { "from": "human", "value": "Let 0*c - 2/5*c**2 - 2/15*c**4 + 8/15*c**3 + 0 = 0. Calculate c." }, { "from": "gpt", "value": "0, 1, 3" } ]
[ { "from": "human", "value": "In base 9, what is 10 - 120?" }, { "from": "gpt", "value": "-110" } ]
[ { "from": "human", "value": "Suppose -5*j = -3*j. Solve j = l - 0 - 4 for l." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Differentiate 85*d**2*f + 3*d*f - 450*f wrt d." }, { "from": "gpt", "value": "170*d*f + 3*f" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 256 and 4." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is -1 divided by 1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let f be 3/24 + (-23)/(-8). Solve -f*t + 11 = -2*s, s + t + 0*t - 2 = 0 for s." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 6132 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let m = 0.04 + 0.06. What is the second biggest value in 3, 2/13, m?" }, { "from": "gpt", "value": "2/13" } ]
[ { "from": "human", "value": "How many minutes are there between 3:59 AM and 1:55 PM?" }, { "from": "gpt", "value": "596" } ]
[ { "from": "human", "value": "What comes next: -173, -249, -325, -401, -477?" }, { "from": "gpt", "value": "-553" } ]
[ { "from": "human", "value": "Does 2107 divide 1399241844?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the value of ((-528)/(-165))/(4/10)?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is ((-27)/((-648)/(-32)))/(4/(-30))?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Calculate 2 divided by -22." }, { "from": "gpt", "value": "-1/11" } ]
[ { "from": "human", "value": "In base 12, what is -13 - 268?" }, { "from": "gpt", "value": "-27b" } ]
[ { "from": "human", "value": "Which is smaller: -2 or -10/39?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Simplify -5*(sqrt(187)/(sqrt(11)*-1*2))**2." }, { "from": "gpt", "value": "-85/4" } ]
[ { "from": "human", "value": "Let i(j) = 20*j - 6. Let u(x) = 21*x - 7. Let l(s) = 7*i(s) - 6*u(s). Suppose -6 = 2*y + 4*q, -2*q + 2 = 2*y - 0*q. Let g(z) = y*z - 4*z + z. Calculate l(g(w))." }, { "from": "gpt", "value": "28*w" } ]
[ { "from": "human", "value": "Do 20 and 5 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 2*f + 5*s - 9 = 0, -3*s + 7 = -4*f + 12 for f." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Subtract 40.3 from -0.3033." }, { "from": "gpt", "value": "-40.6033" } ]
[ { "from": "human", "value": "What is 870.855 millimeters in kilometers?" }, { "from": "gpt", "value": "0.000870855" } ]
[ { "from": "human", "value": "What is 92679 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "45" } ]
[ { "from": "human", "value": "What is the difference between -196 and -2?" }, { "from": "gpt", "value": "194" } ]
[ { "from": "human", "value": "Let n = -28 + -15. Let t = n - -44. Suppose 2*p + 1 = 19. Calculate the smallest common multiple of t and p." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let j = 17 + -67/4. Let f(x) = x**2 - 5*x - 4. Let c be f(6). Factor j - 5/4*w + w**c." }, { "from": "gpt", "value": "(w - 1)*(4*w - 1)/4" } ]
[ { "from": "human", "value": "What is the v'th term of -399, -375, -353, -333?" }, { "from": "gpt", "value": "-v**2 + 27*v - 425" } ]
[ { "from": "human", "value": "What is next in 24, 55, 92, 135, 184, 239?" }, { "from": "gpt", "value": "300" } ]
[ { "from": "human", "value": "Calculate 60/16 - (-3)/(-24)*-2." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the third root of 17995 to the nearest integer?" }, { "from": "gpt", "value": "26" } ]
[ { "from": "human", "value": "Solve -2*m = 4*g - 0*m - 30, -5*g - 3*m + 40 = 0 for g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve -4*m - 657 + 633 = 0 for m." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the value of (((-2)/(-12))/1)/(6/9)?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "Suppose -3*g - 10 = -4*t - 41, 0 = t - 3*g + 10. Let y(d) = -d**2 - 7*d + 8. Does 3 divide y(t)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let f be 6/3 + 4 + -6. Solve -h = -f + 2 for h." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose -n = 6*a - 2*a - 31, 2*a + 2 = -4*n. Solve 6*y = 3*y - a for y." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -a + 1695 = 5*p - 715, -972 = -2*p - 2*a. Is p composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the next term in -1076, -2150, -3222, -4292, -5360, -6426?" }, { "from": "gpt", "value": "-7490" } ]
[ { "from": "human", "value": "What is 6 - (10 + -6 + -1)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let f(x) be the third derivative of -x**4/24 - 4*x**3/3 - x**2. Let p be f(-8). Suppose 0 = -p*n - n - 490. Round n to the nearest one hundred." }, { "from": "gpt", "value": "-500.0" } ]
[ { "from": "human", "value": "Factor 12*y**2 + 237*y - 60." }, { "from": "gpt", "value": "3*(y + 20)*(4*y - 1)" } ]
[ { "from": "human", "value": "What are the prime factors of 11724?" }, { "from": "gpt", "value": "2, 3, 977" } ]
[ { "from": "human", "value": "Simplify -5*(-2 + 0 + sqrt(1872))*-6." }, { "from": "gpt", "value": "-60 + 360*sqrt(13)" } ]
[ { "from": "human", "value": "Let l be (324/72)/(1/2 - 0). What is the greatest common divisor of l and 153?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Solve -2*q + w = -3, -q = -2*w - 28 + 31 for q." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Simplify ((z*z*z/(z/(z/(z*z*z**(1/14))))*z)/z**8)/((z/z**3)/z)**(-1/33) assuming z is positive." }, { "from": "gpt", "value": "z**(-949/154)" } ]
[ { "from": "human", "value": "Factor -2*o**3 - 12*o**2 - 10*o." }, { "from": "gpt", "value": "-2*o*(o + 1)*(o + 5)" } ]
[ { "from": "human", "value": "What is the distance between 0 and 3440?" }, { "from": "gpt", "value": "3440" } ]
[ { "from": "human", "value": "Let u be (-4)/6 + 21/(-9). Suppose -6 = -5*d - 1. Put u, 4, d in decreasing order." }, { "from": "gpt", "value": "4, d, u" } ]
[ { "from": "human", "value": "28/(1792/(-48))*8/1" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the h'th term of -2, 15, 60, 145, 282, 483, 760, 1125?" }, { "from": "gpt", "value": "2*h**3 + 2*h**2 - 3*h - 3" } ]
[ { "from": "human", "value": "Suppose -3*d = 4*l + 14 + 6, 0 = 3*l + 6. Let t = 4 + -1. Suppose u + 4 - 1 = 0. Put d, u, t in decreasing order." }, { "from": "gpt", "value": "t, u, d" } ]
[ { "from": "human", "value": "Let h be (-74)/(-2)*(5 + -6). Let u = h + 39. What is the third derivative of 16*l**2 - 17*l**6 - 2*l**u + 3*l**6 wrt l?" }, { "from": "gpt", "value": "-1680*l**3" } ]
[ { "from": "human", "value": "Does 53 divide 1749?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is next in 1974, 3656, 5340, 7026, 8714, 10404, 12096?" }, { "from": "gpt", "value": "13790" } ]
[ { "from": "human", "value": "Product of 5 and -1.3." }, { "from": "gpt", "value": "-6.5" } ]
[ { "from": "human", "value": "What is the highest common factor of 266 and 252?" }, { "from": "gpt", "value": "14" } ]