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math

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[ { "from": "human", "value": "Factor 5*n**3 + 180*n**2 + 925*n + 750." }, { "from": "gpt", "value": "5*(n + 1)*(n + 5)*(n + 30)" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 1200 and 30." }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "Suppose 2*q = q + 5. Suppose -3*k - 6 = -q*v - k, 3*v - 12 = -3*k. Find the third derivative of 0*b**4 + 4*b**v - 6*b**2 - b**4 wrt b." }, { "from": "gpt", "value": "-24*b" } ]
[ { "from": "human", "value": "In base 7, what is 21 + 1?" }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Add together -566 and 0.2." }, { "from": "gpt", "value": "-565.8" } ]
[ { "from": "human", "value": "Suppose u = -4*i - 2, 2*i + 13*u = 14*u + 2. Factor -b**3 + i + 1/3*b**2 + 0*b + b**4 - 1/3*b**5." }, { "from": "gpt", "value": "-b**2*(b - 1)**3/3" } ]
[ { "from": "human", "value": "Solve -7*f - 61 = -117 for f." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let n(l) be the first derivative of -l**7/7 - l**4/4 - 4*l - 2. Let s(y) be the first derivative of n(y). Find the third derivative of s(m) wrt m." }, { "from": "gpt", "value": "-360*m**2" } ]
[ { "from": "human", "value": "Calculate (-5 - (-4 - 7)) + -3." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the second smallest value in 7, -8, -1.5?" }, { "from": "gpt", "value": "-1.5" } ]
[ { "from": "human", "value": "Let d = -10 + 90. Calculate the greatest common factor of 10 and d." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Suppose 0 = -5*r + t + 43582, 25649 = 5*r - 5*t - 17961. Which is smaller: r or 8716?" }, { "from": "gpt", "value": "r" } ]
[ { "from": "human", "value": "Calculate 5 + -356." }, { "from": "gpt", "value": "-351" } ]
[ { "from": "human", "value": "Let k(v) = -v**3 + 3*v**2 + 3*v - 2. Let g be k(2). Let h be 12/(-9)*(-1)/g. What is the closest to -1 in -0.4, h, 0.1?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Let p(q) = -3*q - 17. Let l(h) = -h - 8. Let k(c) = -7*l(c) + 3*p(c). Let a be 2 - -2 - (-2 + 2). Determine k(a)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "2/(-5)*-9 - (-2 - -6)" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Product of 29.81 and -0.5." }, { "from": "gpt", "value": "-14.905" } ]
[ { "from": "human", "value": "Suppose w - 8 = -5. Solve d + w = 5*k, -4*k + d + d = 0 for k." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 251 minutes after 7:35 PM?" }, { "from": "gpt", "value": "11:46 PM" } ]
[ { "from": "human", "value": "Solve -39*q + 603 - 213 = 0 for q." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the units digit of 3523?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Sort 0.2, -39, 2/11, -2, 4/9 in decreasing order." }, { "from": "gpt", "value": "4/9, 0.2, 2/11, -2, -39" } ]
[ { "from": "human", "value": "Let d(c) = c**2 + 3*c + 4. Let p be d(-3). Suppose -p*q + 28225 = q. Let x = q + -9445. Round x to the nearest 1000." }, { "from": "gpt", "value": "-4000.0" } ]
[ { "from": "human", "value": "In base 12, what is b7 - 4?" }, { "from": "gpt", "value": "b3" } ]
[ { "from": "human", "value": "What is next in -66, -56, -34, 6, 70?" }, { "from": "gpt", "value": "164" } ]
[ { "from": "human", "value": "Solve -77*j + 81*j - 16 = 0 for j." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify (1*sqrt(576))/(sqrt(48)/sqrt(4)*1)." }, { "from": "gpt", "value": "4*sqrt(3)" } ]
[ { "from": "human", "value": "Solve -4*i + 3*k = 0, -5*k - 17 - 3 = 0 for i." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate -4 - 159135." }, { "from": "gpt", "value": "-159139" } ]
[ { "from": "human", "value": "Let g be 308/49 - (-2)/(-7). Let m be -6*g/(36/(-15)). Solve -4*y + y = -m for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "-126 times -0.9" }, { "from": "gpt", "value": "113.4" } ]
[ { "from": "human", "value": "What is the second biggest value in -712537, 0.4, 22?" }, { "from": "gpt", "value": "0.4" } ]
[ { "from": "human", "value": "Let z(n) = -22*n**2 - 8*n + 2. Suppose -3*q + 5 = -4. Let g = q + -10. Let r be z(g). What is r rounded to the nearest 100?" }, { "from": "gpt", "value": "-1000.0" } ]
[ { "from": "human", "value": "How many grams are there in 32791.03 micrograms?" }, { "from": "gpt", "value": "0.03279103" } ]
[ { "from": "human", "value": "Let o = -2 - -4. Let h(c) = c**2 - 4*c**o + c**3 - 3 + 2*c**2. Let s(p) = 2*p**3 - 2*p**2 - 5. Let d(x) = 5*h(x) - 3*s(x). Suppose d(k) = 0. What is k?" }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "What is the next term in 1201, 1211, 1221, 1231, 1241?" }, { "from": "gpt", "value": "1251" } ]
[ { "from": "human", "value": "What is next in -3, -26, -87, -204, -395, -678?" }, { "from": "gpt", "value": "-1071" } ]
[ { "from": "human", "value": "In base 8, what is 4311 + -5?" }, { "from": "gpt", "value": "4304" } ]
[ { "from": "human", "value": "What is the t'th term of -2, 32, 88, 166, 266, 388, 532?" }, { "from": "gpt", "value": "11*t**2 + t - 14" } ]
[ { "from": "human", "value": "Convert 0.1230875 centuries to decades." }, { "from": "gpt", "value": "1.230875" } ]
[ { "from": "human", "value": "Round 0.0126341 to 4 decimal places." }, { "from": "gpt", "value": "0.0126" } ]
[ { "from": "human", "value": "Find the second derivative of -1862*p**5 - 6212*p wrt p." }, { "from": "gpt", "value": "-37240*p**3" } ]
[ { "from": "human", "value": "Is -306 smaller than -310?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -1484*s = -1481*s + 6 for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "-32 + -311" }, { "from": "gpt", "value": "-343" } ]
[ { "from": "human", "value": "Expand (c + 4 + c - 5)*(28 - 33*c + 31 - 58)." }, { "from": "gpt", "value": "-66*c**2 + 35*c - 1" } ]
[ { "from": "human", "value": "Sort 8, 15, 5 in increasing order." }, { "from": "gpt", "value": "5, 8, 15" } ]
[ { "from": "human", "value": "What is the square root of 1310 to the nearest integer?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Let v = -11 - -39. Suppose -2*g = -0*g - 32. Let j = 26 - g. What is the remainder when v is divided by j?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the product of 8.81 and -3?" }, { "from": "gpt", "value": "-26.43" } ]
[ { "from": "human", "value": "In base 10, what is -33 - 570?" }, { "from": "gpt", "value": "-603" } ]
[ { "from": "human", "value": "Solve -2*c - 23 + 31 = 0 for c." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "How many minutes are there between 9:39 AM and 9:06 PM?" }, { "from": "gpt", "value": "687" } ]
[ { "from": "human", "value": "Let c(s) be the second derivative of s**4/12 + 5*s**3/6 - 5*s**2/2 + 8*s. What is c(-6)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let r(n) be the third derivative of -n**4/8 + 2*n**3/3 + 3*n**2 + 2*n. Let d(z) = 4*z - 5. Calculate -2*d(t) - 3*r(t)." }, { "from": "gpt", "value": "t - 2" } ]
[ { "from": "human", "value": "Suppose y = -4*s - 16, y + 3*s + 11 = -0*y. Calculate the lowest common multiple of y and 5." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Differentiate w**4 + 3 + 2*w**4 + 11 - 5*w**4 with respect to w." }, { "from": "gpt", "value": "-8*w**3" } ]
[ { "from": "human", "value": "Evaluate (0 - 1 - 1) + 3." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the highest common divisor of 31 and 3193?" }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "Solve c**4/11 - 4*c**3/11 - c**2 - 6*c/11 = 0." }, { "from": "gpt", "value": "-1, 0, 6" } ]
[ { "from": "human", "value": "What is -80 times -35?" }, { "from": "gpt", "value": "2800" } ]
[ { "from": "human", "value": "Let u = -14 - -9. Let q be (-21)/(-2) + 14/(-28). Let g = u + q. List the prime factors of g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Evaluate (-3)/(-1)*4/(-6)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve 6*t**5/5 - 20*t**4 + 232*t**3/5 - 112*t**2/5 = 0." }, { "from": "gpt", "value": "0, 2/3, 2, 14" } ]
[ { "from": "human", "value": "What is the k'th term of 27481, 27483, 27485, 27487, 27489, 27491?" }, { "from": "gpt", "value": "2*k + 27479" } ]
[ { "from": "human", "value": "What is -433 (base 8) in base 10?" }, { "from": "gpt", "value": "-283" } ]
[ { "from": "human", "value": "Let v(m) = -m**2 + 2*m + 4. Calculate v(4)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let h = 38181814 - 35062767.6. Let k = -3119064.4000052 + h. Let d = -18 - k. What is d rounded to 6 dps?" }, { "from": "gpt", "value": "5e-06" } ]
[ { "from": "human", "value": "-0.4*115" }, { "from": "gpt", "value": "-46" } ]
[ { "from": "human", "value": "Evaluate -5 + (14 - 8) + (-2 - -8)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Total of 2844 and -0.9." }, { "from": "gpt", "value": "2843.1" } ]
[ { "from": "human", "value": "What is -3280 divided by 328?" }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Factor -3*l**2/5 + 3294*l - 4521015." }, { "from": "gpt", "value": "-3*(l - 2745)**2/5" } ]
[ { "from": "human", "value": "Let n(c) be the third derivative of -c**9/84 + 17*c**5/60 + 12*c**2. Find the third derivative of n(j) wrt j." }, { "from": "gpt", "value": "-720*j**3" } ]
[ { "from": "human", "value": "Does 114 divide 4560?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is smaller: 4/67 or 2.7?" }, { "from": "gpt", "value": "4/67" } ]
[ { "from": "human", "value": "Put 1, 43, -2, 0.1 in decreasing order." }, { "from": "gpt", "value": "43, 1, 0.1, -2" } ]
[ { "from": "human", "value": "Find c, given that 1/6 + 1/6*c**3 - 1/6*c - 1/6*c**2 = 0." }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "Suppose 0 = -3*r - r - 16. Let i be 2/(6/r*-2). Factor -2*h**2 - 4/3 + 2/3*h**4 + 10/3*h - i*h**3." }, { "from": "gpt", "value": "2*(h - 1)**3*(h + 2)/3" } ]
[ { "from": "human", "value": "What is the remainder when 158 is divided by 21?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Put 2/19, 96, 3 in decreasing order." }, { "from": "gpt", "value": "96, 3, 2/19" } ]
[ { "from": "human", "value": "Let t(q) = 601 - 602 + 2*q - 5*q**2 - 3*q + 4*q**2. Let j(u) = 12*u**2 + 14*u + 14. Give -3*j(m) - 42*t(m)." }, { "from": "gpt", "value": "6*m**2" } ]
[ { "from": "human", "value": "Suppose 6*j = 7*j + 3. What is the biggest value in j, -1/3, 2?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the square root of 1390 to the nearest integer?" }, { "from": "gpt", "value": "37" } ]
[ { "from": "human", "value": "What is the hundreds digit of 1051?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Simplify 4 + (1 + sqrt(7) + sqrt(63)/sqrt(9))*-6." }, { "from": "gpt", "value": "-12*sqrt(7) - 2" } ]
[ { "from": "human", "value": "Let l = 5 - 9. Let o = 16 + -16.3. Sort -0.1, l, o in increasing order." }, { "from": "gpt", "value": "l, o, -0.1" } ]
[ { "from": "human", "value": "What is the s'th term of -133, -164, -195, -226, -257, -288?" }, { "from": "gpt", "value": "-31*s - 102" } ]
[ { "from": "human", "value": "Which is smaller: 127 or 125?" }, { "from": "gpt", "value": "125" } ]
[ { "from": "human", "value": "What is 46371 to the power of 1/6, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is -235 plus 957?" }, { "from": "gpt", "value": "722" } ]
[ { "from": "human", "value": "Let j(z) = z**3 - 5*z**2 - 5*z - 6. Let w be j(6). Suppose -4*p = 3*a - 18, -4*a + 3*p - 1 = -0*p. Suppose w = -v - v + a. Solve v - 13 = 3*l for l." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let q(u) = 1 - 109*u. Let z(v) = v**3 + 10*v**2 + 11*v + 14. Let n be z(-9). What are the prime factors of q(n)?" }, { "from": "gpt", "value": "19, 23" } ]
[ { "from": "human", "value": "Solve -200 - 45 = 35*r for r." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let f(b) = 5*b - 2. Let u be f(2). Calculate the remainder when (-266)/(-8) - 2/u is divided by 9." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "In base 14, what is 0 - -137?" }, { "from": "gpt", "value": "137" } ]
[ { "from": "human", "value": "Calculate -5048 divided by 4." }, { "from": "gpt", "value": "-1262" } ]
[ { "from": "human", "value": "Suppose -5*b + 25 = -0*c + 5*c, b = -3*c + 11. Let h be -2*((-21)/(-9) - b). Put -0.5, h, 0.5 in decreasing order." }, { "from": "gpt", "value": "0.5, -0.5, h" } ]
[ { "from": "human", "value": "Put -4, 1, 57, -2 in increasing order." }, { "from": "gpt", "value": "-4, -2, 1, 57" } ]
[ { "from": "human", "value": "Suppose 2*n + 3*t = -2, -3*n - 3 = 2*t - 0. Let p(q) = 15*q**2 - q - 4 + 4. Does 8 divide p(n)?" }, { "from": "gpt", "value": "True" } ]