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[ { "from": "human", "value": "Let h(b) = -5*b**5 - 5*b**4 - b**3 - b**2 - 6*b - 6. Let o(q) = -q**5 - q**4 - q - 1. Let g(p) = -5*h(p) + 30*o(p). Factor g(y)." }, { "from": "gpt", "value": "-5*y**2*(y - 1)*(y + 1)**2" } ]
[ { "from": "human", "value": "What is the r'th term of -39, -94, -145, -192, -235?" }, { "from": "gpt", "value": "2*r**2 - 61*r + 20" } ]
[ { "from": "human", "value": "What is the t'th term of 884, 1766, 2648?" }, { "from": "gpt", "value": "882*t + 2" } ]
[ { "from": "human", "value": "Let -5000*k**2/9 + 200*k/9 - 2/9 = 0. What is k?" }, { "from": "gpt", "value": "1/50" } ]
[ { "from": "human", "value": "Let o be -2 + 0 - (9 + -9). Let b = 14 + o. Does 6 divide b?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 4*t - 10*t - 30 = 0. Suppose 2*y = -5*k + 8, 8*y - 3*y - k + 7 = 0. Sort 1, t, y in ascending order." }, { "from": "gpt", "value": "t, y, 1" } ]
[ { "from": "human", "value": "Solve b - 4*p - 11 + 17 = 0, p + 30 = -5*b for b." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What comes next: -1, 64, 247, 608, 1207, 2104, 3359, 5032?" }, { "from": "gpt", "value": "7183" } ]
[ { "from": "human", "value": "Calculate (-1)/(-4 + (-66)/(-6))." }, { "from": "gpt", "value": "-1/7" } ]
[ { "from": "human", "value": "Suppose -3*j + 53 = -4. Solve 5*c - 20 = -3*n - 2*n, -4*n + j = c for c." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Is 9649 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -c + k = 3*k + 8, 2*c - k = 9. Suppose c*n = 8 - 0. Is n at least as big as 4?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the cube root of 45536 to the nearest integer?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 3107 and 26?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Suppose 5*x = -2*x + 91. What is the remainder when 36 is divided by x?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let q = 8 - 3. Let n(b) = 2*b - 7. Let m be n(q). Suppose 2 = -z + m. Solve 1 + z = 2*u for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the o'th term of -2763, -12203, -28321, -51117, -80591?" }, { "from": "gpt", "value": "-3339*o**2 + 577*o - 1" } ]
[ { "from": "human", "value": "What is the third derivative of -2*h**3*l**2*z - 12*h**3*l**2 - h**3*z**3 - 27*h**2*l**2 - 2*h**2*z - l*z**3 wrt h?" }, { "from": "gpt", "value": "-12*l**2*z - 72*l**2 - 6*z**3" } ]
[ { "from": "human", "value": "Sum 0.169 and -0.016." }, { "from": "gpt", "value": "0.153" } ]
[ { "from": "human", "value": "How many minutes are there between 8:08 PM and 2:52 AM?" }, { "from": "gpt", "value": "404" } ]
[ { "from": "human", "value": "Solve -29 = 8*v + 19 for v." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "2 (base 14) to base 8" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 5, what is -10134 + 11?" }, { "from": "gpt", "value": "-10123" } ]
[ { "from": "human", "value": "Sort 0, -2, 5, -9 in descending order." }, { "from": "gpt", "value": "5, 0, -2, -9" } ]
[ { "from": "human", "value": "Rearrange 2*z**3 - z**4 + 631*z + 16 + 2*z**2 - 631*z to l*z**4 + i*z**3 + c*z + v + h*z**2 and give v." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "How many months are there in 1/10 of a decade?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What comes next: 38, 95, 184, 299, 434, 583?" }, { "from": "gpt", "value": "740" } ]
[ { "from": "human", "value": "Let z be ((-3)/6*0)/(-1). Suppose 2*g + 3 - 7 = z. Suppose 0 = -0*m - g*m + 30. Is m prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the nearest to -1 in 1/24, 6, -2/9, 2?" }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "Solve 4*c - 10 = 6*n - 4*n, -5*c + 4*n = -8 for c." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let a(k) be the third derivative of k**6/300 + k**5/75 + k**4/60 + 2*k**2. Factor a(x)." }, { "from": "gpt", "value": "2*x*(x + 1)**2/5" } ]
[ { "from": "human", "value": "Factor -5*m**2 - 1500*m - 2980." }, { "from": "gpt", "value": "-5*(m + 2)*(m + 298)" } ]
[ { "from": "human", "value": "Suppose 2*p**5 - 464*p**4 - 934*p**3 - 468*p**2 = 0. What is p?" }, { "from": "gpt", "value": "-1, 0, 234" } ]
[ { "from": "human", "value": "Sort -2, -3, 3, 5, -174." }, { "from": "gpt", "value": "-174, -3, -2, 3, 5" } ]
[ { "from": "human", "value": "What is 0.03339 less than -0.16?" }, { "from": "gpt", "value": "-0.19339" } ]
[ { "from": "human", "value": "Let u(h) = h + 4. Let i be u(0). Solve 18 = -i*n - 2*d, 8*d = 3*d + 5 for n." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the smallest value in 99, -1/4, 3, 4/7, 1/2?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 662 and 31601894?" }, { "from": "gpt", "value": "662" } ]
[ { "from": "human", "value": "Suppose -3*a - 4*h + 3 = 0, -2*a + 3*h + h = -22. Let p = 37 - 40. Let q = 6 + p. Solve -q*l - 14 = -a for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the next term in 45, 67, 87, 105, 121?" }, { "from": "gpt", "value": "135" } ]
[ { "from": "human", "value": "Let f(n) = 2*n**2 - n**2 - n - 2 - 11. Let z be f(0). Let l = z - -37. Is 12 a factor of l?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify (2 + sqrt(75) - sqrt(75)) + (1*sqrt(12))/sqrt(4)." }, { "from": "gpt", "value": "sqrt(3) + 2" } ]
[ { "from": "human", "value": "Let x = -6 - -15. Let d(p) = -5*p + x*p + 4*p. Calculate the remainder when 31 is divided by d(2)." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "What is the g'th term of 2301, 2300, 2299?" }, { "from": "gpt", "value": "2302 - g" } ]
[ { "from": "human", "value": "Which is the closest to 3? (a) -0.5 (b) -4 (c) 3 (d) -5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "(-1)/4*864/36" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Suppose -58 = -5*f + g, 5*g - 29 = -2*f - 2*f. Let y = -9 + f. Solve y*i = 6*i for i." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "In base 10, what is 5215 - -5?" }, { "from": "gpt", "value": "5220" } ]
[ { "from": "human", "value": "Let a(t) = t**3 + 6*t**2 + 7*t - 1. Let y be a(-4). What is the closest to -0.1 in -4, -0.8, y?" }, { "from": "gpt", "value": "-0.8" } ]
[ { "from": "human", "value": "What is the second biggest value in 30, -0.107, 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Find the second derivative of 8*q**4 - 2*q**2 + 5*q + 56." }, { "from": "gpt", "value": "96*q**2 - 4" } ]
[ { "from": "human", "value": "Let z = -63 + 64. Put 3, -15, z in decreasing order." }, { "from": "gpt", "value": "3, z, -15" } ]
[ { "from": "human", "value": "Calculate -2*5*2/(-5)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let d = -8 - -13. Suppose 2*i - d*p + p = 130, 4*i - p - 232 = 0. Is i a multiple of 19?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate (9 - (2 + 5))/(-1)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 2, what is 1011111 - 1000?" }, { "from": "gpt", "value": "1010111" } ]
[ { "from": "human", "value": "Is -167 at least as big as -166?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 246 minutes after 2:30 PM?" }, { "from": "gpt", "value": "6:36 PM" } ]
[ { "from": "human", "value": "List the prime factors of 73422." }, { "from": "gpt", "value": "2, 3, 4079" } ]
[ { "from": "human", "value": "Solve -3*k = -5*q - 8, -2*k + 26*q + 8 = 22*q for k." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose -3*a - 35 = 10. What is the units digit of ((-4)/(-6))/((-2)/a)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Sort 8/3, 5, -1/2, 3." }, { "from": "gpt", "value": "-1/2, 8/3, 3, 5" } ]
[ { "from": "human", "value": "Let w be (-124)/160 - 4/(-10). Let y = 45 + -134/3. Which is the smallest value? (a) w (b) 1 (c) y" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose 6 = 5*h - 39. Suppose 0 = 3*d - h, -4*g - 19 = -5*d. What is the nearest to g in 1, -0.1, 5?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Which is the nearest to -4? (a) 0 (b) -2 (c) 4 (d) 0.5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is 31007 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "Is 25 a factor of 1399?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let l(v) = v**2 - 6*v - 57. Let h be l(-5). Sort 4, 5, h, 0 in descending order." }, { "from": "gpt", "value": "5, 4, 0, h" } ]
[ { "from": "human", "value": "What is the next term in -96150, -186895, -277640?" }, { "from": "gpt", "value": "-368385" } ]
[ { "from": "human", "value": "Let m = -7 - -4. Suppose -2*q + 10 = 3*q. Suppose -4*s - s + 10 = -3*t, -3*s - q*t + 25 = 0. Put m, s, 0 in descending order." }, { "from": "gpt", "value": "s, 0, m" } ]
[ { "from": "human", "value": "Suppose 0 = 2*z + z - 12. Suppose z*f = 3*f. Suppose -2*w + f*w = 0. Solve 7 = 4*i + 5*o - w, 0 = -5*i + 5*o - 25 for i." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Convert 14a (base 16) to base 3." }, { "from": "gpt", "value": "110020" } ]
[ { "from": "human", "value": "Let t = 4.97 + 0.03. Let z = t + -4.9. What is the nearest to z in 1, -2/13, -3?" }, { "from": "gpt", "value": "-2/13" } ]
[ { "from": "human", "value": "Solve -7*g + 25 = -12*g for g." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Work out -1.7 * 0.4." }, { "from": "gpt", "value": "-0.68" } ]
[ { "from": "human", "value": "Suppose w + 63 = -3*q - 2*w, 0 = -3*q + w - 71. Which is greater: q or -24?" }, { "from": "gpt", "value": "q" } ]
[ { "from": "human", "value": "Put -1, 0, 0.045 in decreasing order." }, { "from": "gpt", "value": "0.045, 0, -1" } ]
[ { "from": "human", "value": "Let z = 44 - 10. What is the highest common factor of 85 and z?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Let o(v) = v**3 - 2*v**2 - v. Let b be o(3). Let k = 8 - b. Solve 2*p = 5*f - 28, -2*p - k*p - 5*f = -4 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve -5*g + 8*b = 3*b - 25, -5*g = -b - 5 for g." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "In base 8, what is 40 + -226?" }, { "from": "gpt", "value": "-166" } ]
[ { "from": "human", "value": "Express (5*u**2 - 3*u**2 + 0*u**2)*(11 - 9 + 18) + 3*u**2 - 2*u**2 + 4*u**2 in the form f + w*u + h*u**2 and give h." }, { "from": "gpt", "value": "45" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) 0.01 (b) -0.3 (c) 1 (d) -3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Add 0.5858 and -4." }, { "from": "gpt", "value": "-3.4142" } ]
[ { "from": "human", "value": "Suppose 0 = -2*c - 2*d + 22, 4*c + d - 6*d = 17. Suppose -4*y + 4*p + c = 6*p, 2*y = -4*p - 2. Solve 0 = o + 4*o - h + 28, 30 = -y*o + 5*h for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Is 206497 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the q'th term of 804, 1808, 2798, 3768, 4712, 5624, 6498?" }, { "from": "gpt", "value": "-q**3 - q**2 + 1014*q - 208" } ]
[ { "from": "human", "value": "-7 - (8 - 13) - -5" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Simplify (sqrt(117) - 5*sqrt(117)*2)/(sqrt(9) - (sqrt(9) - sqrt(63)/(sqrt(7)*2 + sqrt(7))))." }, { "from": "gpt", "value": "-27*sqrt(13)" } ]
[ { "from": "human", "value": "Convert 7926 (base 12) to base 10." }, { "from": "gpt", "value": "13422" } ]
[ { "from": "human", "value": "Divide 6 by -7473." }, { "from": "gpt", "value": "-2/2491" } ]
[ { "from": "human", "value": "Is 1014 a multiple of 13?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let w(l) = l + 3. Let a(d) = -d - 6. Calculate -3*a(b) - 7*w(b)." }, { "from": "gpt", "value": "-4*b - 3" } ]
[ { "from": "human", "value": "Sum 4.2 and -182." }, { "from": "gpt", "value": "-177.8" } ]
[ { "from": "human", "value": "Suppose 4*g = -2*s + 5 - 13, -g - 3*s + 8 = 0. Let a be (-63)/(-27) + g/(-6). Solve f - a = 0, 4*f + 11 - 3 = 5*p for p." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the square root of 132 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is the value of 66/10 - (-8 + 75/5)?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Let b(g) = 17 - 2*g. Let a be b(7). Solve 0 + 3 = a*o for o." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 100 - 84 = 8*o for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -4*b = b. Suppose 0 = 3*s + 5*u - 8 - 29, b = -4*s - 4*u + 36. Solve s*k - 4 = 0, k - 21 = 4*y - 0 for y." }, { "from": "gpt", "value": "-5" } ]