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math

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[ { "from": "human", "value": "Let z(o) = o**3 - o**2 - 2*o + 2. Let j(w) = w**3 - w + 3. Let q be j(0). What are the prime factors of z(q)?" }, { "from": "gpt", "value": "2, 7" } ]
[ { "from": "human", "value": "Suppose 0 = 4*i - 2*i. Let q(j) be the second derivative of 0 - 1/12*j**4 - 2*j + i*j**2 - 1/3*j**3. Find the second derivative of q(o) wrt o." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -8 = -2*n + 5*z, 2*z + 112 - 113 = 5*n for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 2 (base 9) in base 12?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Put 42, 2, -15, 0, -2/7 in decreasing order." }, { "from": "gpt", "value": "42, 2, 0, -2/7, -15" } ]
[ { "from": "human", "value": "Solve -31*r - 8 = -30*r for r." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Factor 3*d**2 - 21891*d + 371280." }, { "from": "gpt", "value": "3*(d - 7280)*(d - 17)" } ]
[ { "from": "human", "value": "Determine i, given that -35*i**5 + 285*i**4 - 495*i**3 + 275*i**2 - 30*i = 0." }, { "from": "gpt", "value": "0, 1/7, 1, 6" } ]
[ { "from": "human", "value": "What is -32 divided by 16?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "List the prime factors of 17." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Calculate 0.3875 - -53." }, { "from": "gpt", "value": "53.3875" } ]
[ { "from": "human", "value": "Convert 48.90204s to hours." }, { "from": "gpt", "value": "0.0135839" } ]
[ { "from": "human", "value": "Let a(k) = -k**2 - 2*k - 21. Give a(7)." }, { "from": "gpt", "value": "-84" } ]
[ { "from": "human", "value": "Let w(m) = m**3 - 6*m**2 - 2*m - 6. Let q be w(5). Let j = -43 - q. What is the tens digit of -106*((-1)/(-1))/j?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Divide 10 by 5." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let w(b) = 9*b**2 - 2. Suppose 0 = 4*m + 2 + 6. Let v be w(m). Let l = v - 15. Solve 1 = 5*a + 5*f - l, 0 = a - 2*f - 4 for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Is 17305 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate 2 + 8 + 2 + -20." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Let z = -13.4 - -17.4. Sort -5, -1, z in descending order." }, { "from": "gpt", "value": "z, -1, -5" } ]
[ { "from": "human", "value": "Put -10864, -2, -4 in decreasing order." }, { "from": "gpt", "value": "-2, -4, -10864" } ]
[ { "from": "human", "value": "Which is smaller: 32/567 or -1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let v(n) = n**2 + 2*n - 2. Let y be v(-3). Let j be y*(-9)/(-6)*88. Let l = j - 65. Is l prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor 2*o**2/9 + 8*o/9." }, { "from": "gpt", "value": "2*o*(o + 4)/9" } ]
[ { "from": "human", "value": "Suppose 0 = 11*f - 3*f - 24. Sort -2/11, f, -3, -2 in decreasing order." }, { "from": "gpt", "value": "f, -2/11, -2, -3" } ]
[ { "from": "human", "value": "What is 39926 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Simplify (1 + sqrt(128))*-2." }, { "from": "gpt", "value": "-16*sqrt(2) - 2" } ]
[ { "from": "human", "value": "Evaluate (-12)/15*(8 - 3)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let v(u) = 7*u**4 - 6*u**3 - 2*u**2 + 6*u - 5. Let g(a) = -a**4 + a**3 - a + 1. Let n(w) = -6*g(w) - v(w). Let n(l) = 0. What is l?" }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "Suppose -h + 13 = 3*s, -2*h - 5 + 16 = s. Let l = 21 + -19. Suppose -2*b + 7*t - 21 = l*t, t = b + s. Solve 2*z = -b*z + 4 for z." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the remainder when 2748 is divided by 21?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Let r = 5497 - 110013/20. Calculate the common denominator of 43/4 and r." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Round -58100 to the nearest ten thousand." }, { "from": "gpt", "value": "-60000.0" } ]
[ { "from": "human", "value": "Let u = -295 + 504. Let f = -208.913 + u. Let d = 0.0744 - f. What is d rounded to 3 decimal places?" }, { "from": "gpt", "value": "-0.013" } ]
[ { "from": "human", "value": "Let z(b) be the second derivative of -b**4/12 - b**3/6 + b**2 - 6*b. Let s(o) = 5*o**2 + 4*o - 9. Determine 2*s(y) + 9*z(y)." }, { "from": "gpt", "value": "y**2 - y" } ]
[ { "from": "human", "value": "119 times -0.122" }, { "from": "gpt", "value": "-14.518" } ]
[ { "from": "human", "value": "Put 5, -9, 2221 in descending order." }, { "from": "gpt", "value": "2221, 5, -9" } ]
[ { "from": "human", "value": "What is 0 (base 6) in base 13?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 32 = -5*f + 52 for f." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate -80 - -12." }, { "from": "gpt", "value": "-68" } ]
[ { "from": "human", "value": "Convert 9786.124ml to litres." }, { "from": "gpt", "value": "9.786124" } ]
[ { "from": "human", "value": "Suppose -u - 3*j = -1 + 2, -5*u + 2*j = 56. Let w be (10/(-25))/(1/u). Suppose -121 = -5*a - w*m - 13, a - 4*m = 36. Is 12 a factor of a?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Find the third derivative of -67*h**4*p**2 + 2*h**3 + 16*h**2 + 2*p**2 wrt h." }, { "from": "gpt", "value": "-1608*h*p**2 + 12" } ]
[ { "from": "human", "value": "Suppose 81*r - 79*r - 8 = 0. Which is the biggest value? (a) -2 (b) 0.5 (c) 3 (d) r" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "231 divided by -1" }, { "from": "gpt", "value": "-231" } ]
[ { "from": "human", "value": "Let i(a) = 2*a**3 + 1. Let z(m) = -4*m**3 - 2. Let t be (-1)/(-2)*2*-3. What is t*z(u) - 5*i(u)?" }, { "from": "gpt", "value": "2*u**3 + 1" } ]
[ { "from": "human", "value": "What is the square root of 24358 to the nearest integer?" }, { "from": "gpt", "value": "156" } ]
[ { "from": "human", "value": "Let g(s) be the second derivative of -2*s**6/5 - 9*s**5/20 + s**4/4 + 5*s. Determine u, given that g(u) = 0." }, { "from": "gpt", "value": "-1, 0, 1/4" } ]
[ { "from": "human", "value": "Factor h**5 + 2*h**4 - 12*h**3 - 40*h**2 - 32*h." }, { "from": "gpt", "value": "h*(h - 4)*(h + 2)**3" } ]
[ { "from": "human", "value": "Let t = 0 + 3. Let 2*x + 6*x**2 - 7*x**3 + 2*x**4 - 8*x**2 + 2*x**3 + t*x**3 = 0. Calculate x." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "What is the tens digit of 485757263?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Product of -767.3 and -0.1." }, { "from": "gpt", "value": "76.73" } ]
[ { "from": "human", "value": "Solve -3*p + 35 = 5*q, -5*q + 21 = -q + p for q." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -6 = w - 4*w. Find the first derivative of 15*t**2 + 3 - 2 + 5*t**3 - 15*t**w wrt t." }, { "from": "gpt", "value": "15*t**2" } ]
[ { "from": "human", "value": "Suppose 0 = -0*g + 2*g - 60. Calculate the greatest common divisor of 90 and g." }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "What is 19/4 of a gram in milligrams?" }, { "from": "gpt", "value": "4750" } ]
[ { "from": "human", "value": "Calculate -8 - (-4 + 1 - 11)." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let i(c) = c**2 - 4*c + 5. Let r be i(4). Suppose 2*k = 8 + 4. Determine j, given that -42*j**4 - k - 78*j**3 - 7*j**r - 72*j**2 - 39*j - j**5 + 6*j - j**5 = 0." }, { "from": "gpt", "value": "-1, -2/3" } ]
[ { "from": "human", "value": "What is (8/(-10))/((-22)/(-55))?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -23*r + 59 = -102 for r." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What comes next: -36, -84, -134, -186, -240?" }, { "from": "gpt", "value": "-296" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 370 and 50." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Solve 0 = 3*w - 3*c - c - 11, 5*c = 2*w - 19 for w." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let w be 4/6*3/(-2). Suppose 0 = -4*b - 5*j - 30, 3*b - 3*j + 36 = -0*b. Let y be (b/6)/(w/3). Solve -5*f + 2*s - 3*s = 20, -2*f - 8 = y*s for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the sixth root of 11539 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let s(j) = j - 6. Let f be s(6). Suppose -3*t + p + 26 = f, 3*t = 8*t - 4*p - 34. Solve 4*k = d + 4 + 4, 5*k = -d + t for k." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Rearrange -3*t**2 + 4*t**3 - 1 + 1 + 3 - 1 to the form h*t + z + j*t**3 + p*t**2 and give p." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let a = -91 - -90. Sort -6, a, 1 in descending order." }, { "from": "gpt", "value": "1, a, -6" } ]
[ { "from": "human", "value": "Solve 3*s = 6*s + 6 for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 64160 divided by -4?" }, { "from": "gpt", "value": "-16040" } ]
[ { "from": "human", "value": "Suppose -3 - 7 = -2*r. Let y be 1/((-2)/(-3) - (-8)/(-24)). Solve -3*z - 12 = -r*w, -5*w + 8 = -4*z - y for w." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Evaluate (14 + -2 - 4) + -10." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose 5*v - 2128 = v. Suppose 11*n = 7*n + v. Suppose -f = -8*f + n. List the prime factors of f." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Let l(j) be the third derivative of -17*j**7/210 - j**5/3 + 26*j**2. Find the third derivative of l(o) wrt o." }, { "from": "gpt", "value": "-408*o" } ]
[ { "from": "human", "value": "Factor 4*f**2/9 + 376*f - 3388/9." }, { "from": "gpt", "value": "4*(f - 1)*(f + 847)/9" } ]
[ { "from": "human", "value": "Is 32117 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 61.974586 + -56065." }, { "from": "gpt", "value": "-56003.025414" } ]
[ { "from": "human", "value": "Calculate the remainder when -1 + -10*21/(-30)*32 is divided by 28." }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Factor -961*o**3 - 3007*o**2 - 376*o - 12." }, { "from": "gpt", "value": "-(o + 3)*(31*o + 2)**2" } ]
[ { "from": "human", "value": "Let z(h) = h**3 + h**2 - 1. Let k be z(0). Let p be (-2)/(-4 - (k + -1)). Let i = 11 + -12. Put p, 4, i in ascending order." }, { "from": "gpt", "value": "i, p, 4" } ]
[ { "from": "human", "value": "What is the s'th term of -838, -840, -842, -844?" }, { "from": "gpt", "value": "-2*s - 836" } ]
[ { "from": "human", "value": "Put 2/3, 5, 2/1477 in decreasing order." }, { "from": "gpt", "value": "5, 2/3, 2/1477" } ]
[ { "from": "human", "value": "What is the hundreds digit of 2036?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the sixth root of 11539 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the second smallest value in 0.1, -3/19, -0.4, 1?" }, { "from": "gpt", "value": "-3/19" } ]
[ { "from": "human", "value": "Let h(v) = 4 - v**2. Let o be h(-2). Solve o = x + 4*x - 20 for x." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is (3 - (2 - -2))*0/(-2)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the l'th term of 88, 57, -16, -149, -360, -667, -1088?" }, { "from": "gpt", "value": "-3*l**3 - 3*l**2 - l + 95" } ]
[ { "from": "human", "value": "Let m be 1/(2 - 1) + 1. Solve 4 + 6 = -2*f, -24 = m*i + 4*f for i." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is next in -349, -371, -429, -541, -725, -999?" }, { "from": "gpt", "value": "-1381" } ]
[ { "from": "human", "value": "Solve 16 = -d - 2*d + 2*u, -3*d - 20 = -4*u for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "3 (base 7) to base 6" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let g be (-1 - -50)/(3/3). Is 48 bigger than g?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 16 = -4*l, -54 = -m + 4*l + 35. What is the remainder when m is divided by 25?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "What comes next: 143, 158, 177, 194, 203, 198, 173, 122?" }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "Let y(s) = -s**2 + s - 1405. Let b be y(0). What is the common denominator of 4/72*363/(-2) and (-1)/4 - b/(-180)?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Let h(r) = -5*r + 2*r**2 - 6 + r**3 + 5*r**2 - 2*r**3 + r**2. Let t be h(7). Solve 4*p = 28 - t for p." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 0*n + n - 5 = 0. Let s(x) be the third derivative of -1/60*x**n + x**2 + 0 + 0*x**4 + 0*x - 1/6*x**3. Differentiate s(r) wrt r." }, { "from": "gpt", "value": "-2*r" } ]
[ { "from": "human", "value": "Let t = -9 - -13. Solve 0 = -2*f + 6 + t for f." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is next in 28, 55, 108, 199, 340, 543, 820, 1183?" }, { "from": "gpt", "value": "1644" } ]
[ { "from": "human", "value": "Solve 2302*t + 656363 - 176309 = 10325*t + 399*t for t." }, { "from": "gpt", "value": "57" } ]