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math

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[ { "from": "human", "value": "Let m(j) = 301*j + 11. Let o be m(-11). Round o to the nearest 1000." }, { "from": "gpt", "value": "-3000.0" } ]
[ { "from": "human", "value": "Which is the closest to 237.91? (a) -5 (b) 3 (c) -2/5 (d) 2/3 (e) -1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Evaluate 1*-4*(-129)/(-1290)." }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Suppose -3*t = x - 24, -x + 26 = 4*t - 0*t. What is the greatest common divisor of 12 and x?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose p = -5*k - 27, 3*k + 3 + 12 = 0. Let n = 5 + -4.7. Which is the biggest value? (a) 4 (b) n (c) p" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let l(m) be the third derivative of 0*m**3 + 0*m**5 + 2/105*m**7 + 0*m**6 + 0 - m**2 - 5/24*m**4 + 0*m. Find the second derivative of l(a) wrt a." }, { "from": "gpt", "value": "48*a**2" } ]
[ { "from": "human", "value": "Sort -1/2, -1/3, -31, 2/13, 5." }, { "from": "gpt", "value": "-31, -1/2, -1/3, 2/13, 5" } ]
[ { "from": "human", "value": "Solve -79 = 4*h - 75 for h." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Convert -b (base 12) to base 15." }, { "from": "gpt", "value": "-b" } ]
[ { "from": "human", "value": "Solve 2*o**4 + 6332*o**3 + 5024426*o**2 + 20021784*o + 19996488 = 0." }, { "from": "gpt", "value": "-1581, -2" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 47 and 1." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the a'th term of 15, -9, -37, -69?" }, { "from": "gpt", "value": "-2*a**2 - 18*a + 35" } ]
[ { "from": "human", "value": "What is the closest to 8 in 12/5, 0.4, -1/9?" }, { "from": "gpt", "value": "12/5" } ]
[ { "from": "human", "value": "Convert -12101 (base 3) to base 15." }, { "from": "gpt", "value": "-9a" } ]
[ { "from": "human", "value": "Convert -13 (base 4) to base 7." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "What is 1239 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (-6*sqrt(130)/((sqrt(90) - sqrt(10)) + sqrt(10)) + sqrt(156)/(sqrt(36)/sqrt(48)))**2." }, { "from": "gpt", "value": "52" } ]
[ { "from": "human", "value": "Let t = 1 + 2. Let q(n) = -2*n**2 + 3*n**3 - 2 + 0*n**2 - 2*n**t + 2*n. What is the units digit of q(2)?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 46 and 506." }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "Is 6 less than 96?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let b = -0.4 - 0.1. Suppose -2*p = -3*p + 57. Let y = -284/5 + p. What is the third biggest value in -2, y, b?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let o(j) = -j**3 - 5*j**2 - 2*j. Let p be o(-5). Suppose 18 = 5*i - 7. Suppose i*y - 5*k = -5, 0 = 2*y - 0*k - 4*k + p. What are the prime factors of y?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let l(y) = 7*y**2 - y - 1. Determine l(-3)." }, { "from": "gpt", "value": "65" } ]
[ { "from": "human", "value": "Determine s, given that -4*s**2/7 - 68*s/7 + 72/7 = 0." }, { "from": "gpt", "value": "-18, 1" } ]
[ { "from": "human", "value": "120 (base 5) to base 7" }, { "from": "gpt", "value": "50" } ]
[ { "from": "human", "value": "Let y = -81 - -81.2. Which is the nearest to y? (a) -2 (b) 11 (c) -1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Evaluate 816/(-168) - (5/(-7))/(-5)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let j = -0.86 + -0.14. What is the smallest value in -4, -3, j?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is the closest to -1? (a) -1/534 (b) 18 (c) 5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the second derivative of 23*c**3*t*y - 13*c**3*y**2 + c**3*y - 11*c*t**2*y**2 + 2*c*t**2*y + c*y**3 wrt y?" }, { "from": "gpt", "value": "-26*c**3 - 22*c*t**2 + 6*c*y" } ]
[ { "from": "human", "value": "Let a(m) = 11*m**3 - 7*m + 6. Let p(z) = z**3 - 1. Let v(q) = -a(q) - 6*p(q). What is the second derivative of v(s) wrt s?" }, { "from": "gpt", "value": "-102*s" } ]
[ { "from": "human", "value": "What comes next: 526727, 1053114, 1579499, 2105882, 2632263, 3158642?" }, { "from": "gpt", "value": "3685019" } ]
[ { "from": "human", "value": "What is next in -2327, -2323, -2317, -2309, -2299, -2287, -2273?" }, { "from": "gpt", "value": "-2257" } ]
[ { "from": "human", "value": "Is 334231 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let f = 46 + -42. Solve -2*c + f*o = 14, 2*c + 11 - 2 = -o for c." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the next term in -64, -57, -46, -31?" }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "Let x be ((-36)/(-14))/(9/42). Let k be 6/x + 6/4. What is the third derivative of -v**2 - 2*v**2 - 4*v**3 + v**k + 4*v**2 wrt v?" }, { "from": "gpt", "value": "-24" } ]
[ { "from": "human", "value": "Solve 4*u = 2*f - 18, 23*f + 5*u = 24*f - 24 for f." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -16b (base 14) in base 7?" }, { "from": "gpt", "value": "-564" } ]
[ { "from": "human", "value": "Put -8.1, 0.2, -2/7 in ascending order." }, { "from": "gpt", "value": "-8.1, -2/7, 0.2" } ]
[ { "from": "human", "value": "Let p(k) = -3*k**2 + 4*k + 2. Let y(s) = 7*s**2 - 7*s - 3. Let n(r) = -5*p(r) - 2*y(r). Let f be n(7). Put 1, f, -1 in descending order." }, { "from": "gpt", "value": "f, 1, -1" } ]
[ { "from": "human", "value": "Does 11 divide 891?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the square root of 15344 to the nearest integer?" }, { "from": "gpt", "value": "124" } ]
[ { "from": "human", "value": "In base 6, what is -235241 + -3?" }, { "from": "gpt", "value": "-235244" } ]
[ { "from": "human", "value": "Let y = 376/573 - -2/191. What is the biggest value in -3, 1/4, y?" }, { "from": "gpt", "value": "y" } ]
[ { "from": "human", "value": "What is the m'th term of 49, 47, 45, 43, 41?" }, { "from": "gpt", "value": "51 - 2*m" } ]
[ { "from": "human", "value": "Let p(b) be the second derivative of -1/2*b**2 - 2*b + 1/4*b**4 + 0 - 1/6*b**3. Let l be (-1)/3 - 4/6. Give p(l)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Differentiate -58*j*o - 54*o wrt j." }, { "from": "gpt", "value": "-58*o" } ]
[ { "from": "human", "value": "What is next in -24, -63, -140, -273, -480, -779?" }, { "from": "gpt", "value": "-1188" } ]
[ { "from": "human", "value": "What is -107.5 times -3?" }, { "from": "gpt", "value": "322.5" } ]
[ { "from": "human", "value": "Calculate the remainder when 278 is divided by 65." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Which is the nearest to 0? (a) -0.5 (b) 1/6 (c) 0.04" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve -5*n - 5*p = -5, 2 - 9 = 3*n + p for n." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 392 and 4." }, { "from": "gpt", "value": "392" } ]
[ { "from": "human", "value": "What is w in -6*w**5 + 10*w**4 + 22*w**3 - 42*w**2 + 8*w + 8 = 0?" }, { "from": "gpt", "value": "-2, -1/3, 1, 2" } ]
[ { "from": "human", "value": "Which is smaller: -1590/7 or -228?" }, { "from": "gpt", "value": "-228" } ]
[ { "from": "human", "value": "Suppose 5*t - 3*t = 3*u - 5, -5*t = 4*u - 22. What is the third derivative of 2*d**2 - 3*d + 3*d**5 + u*d - 5*d**2 wrt d?" }, { "from": "gpt", "value": "180*d**2" } ]
[ { "from": "human", "value": "Let a(u) = u**3 + 6*u**2 + 5*u + 16. Give a(-5)." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let i be 1 + -1 + (0 - 0). What is the closest to 0 in i, -3, -1?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "Suppose -2383 = 35*o - 248. Let l be (20/6)/((-2)/51). Let p = o - l. Is 12 a factor of p?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-6 + -425057" }, { "from": "gpt", "value": "-425063" } ]
[ { "from": "human", "value": "What is p in -5*p**4 - 235*p**3 + 240*p**2 = 0?" }, { "from": "gpt", "value": "-48, 0, 1" } ]
[ { "from": "human", "value": "What is next in -13, -76, -185, -340, -541?" }, { "from": "gpt", "value": "-788" } ]
[ { "from": "human", "value": "Rearrange 642*r - 270 + 270 + 114*r to the form h*r + j and give h." }, { "from": "gpt", "value": "756" } ]
[ { "from": "human", "value": "What is the greatest common factor of 488 and 305?" }, { "from": "gpt", "value": "61" } ]
[ { "from": "human", "value": "Let a be (-1 + 0)/((-2)/8). Suppose 4*f - 2*f = -v - 2, 4*v - 6 = -f. Solve -v*m - a*h = 16, 0 = -5*m - 2*h + h - 22 for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Round -0.000085792441 to five decimal places." }, { "from": "gpt", "value": "-9e-05" } ]
[ { "from": "human", "value": "What is 6147 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose 0 = s - 4*s. Let f(h) = 7*h**3 - h**3 + s*h + 7*h. Let o(m) = 2*m**3 + m + m + 0*m**3. Calculate -2*f(a) + 7*o(a)." }, { "from": "gpt", "value": "2*a**3" } ]
[ { "from": "human", "value": "What is the product of -30 and 0.028?" }, { "from": "gpt", "value": "-0.84" } ]
[ { "from": "human", "value": "What comes next: -234, -233, -232, -231?" }, { "from": "gpt", "value": "-230" } ]
[ { "from": "human", "value": "Let c = -43.949 - -44. Let m = 3 - 2.95. Let f = c - m. Round f to two decimal places." }, { "from": "gpt", "value": "0.0" } ]
[ { "from": "human", "value": "Let l = 4 + -4. Suppose 4*g = -l*g. Suppose -x + g*x = 3. Sort x, -4, 0." }, { "from": "gpt", "value": "-4, x, 0" } ]
[ { "from": "human", "value": "Find the third derivative of -h**6 + 339*h**3*t + 4*h**3 - 326*h**2*t - 6*t wrt h." }, { "from": "gpt", "value": "-120*h**3 + 2034*t + 24" } ]
[ { "from": "human", "value": "Is 72191 a multiple of 357?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 692 minutes before 11:27 PM?" }, { "from": "gpt", "value": "11:55 AM" } ]
[ { "from": "human", "value": "What are the prime factors of 873?" }, { "from": "gpt", "value": "3, 97" } ]
[ { "from": "human", "value": "Factor -4*m**3 - 148*m**2 + 816*m - 1008." }, { "from": "gpt", "value": "-4*(m - 3)*(m - 2)*(m + 42)" } ]
[ { "from": "human", "value": "Solve 2*o = -14*o + 32 for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is next in -69, -57, -43, -33, -33, -49?" }, { "from": "gpt", "value": "-87" } ]
[ { "from": "human", "value": "Which is the nearest to -3? (a) -0.08 (b) 5/3 (c) -4/3 (d) 0" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Simplify v**(1/5)*v/v**(1/11)*v*v*(v*v**0*v)**(-16) assuming v is positive." }, { "from": "gpt", "value": "v**(-1589/55)" } ]
[ { "from": "human", "value": "Put 0.1, 1, -3/326, -0.4 in descending order." }, { "from": "gpt", "value": "1, 0.1, -3/326, -0.4" } ]
[ { "from": "human", "value": "Put -4, -1, 4 in decreasing order." }, { "from": "gpt", "value": "4, -1, -4" } ]
[ { "from": "human", "value": "Let d(z) = -z**4 + z**3 + z**2 + z - 1. Let f(i) = i**4 + i**3 + 6*i + 2 - i**2 - 2*i**3 - 9*i. Let q(c) = 2*d(c) + f(c). Factor q(m)." }, { "from": "gpt", "value": "-m*(m - 1)**2*(m + 1)" } ]
[ { "from": "human", "value": "Which is the closest to -0.1? (a) -1/7 (b) 272 (c) 4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let n(d) be the second derivative of d**10/1680 - d**6/360 - d**3/2 - 3*d. Let b(p) be the second derivative of n(p). Find the third derivative of b(s) wrt s." }, { "from": "gpt", "value": "360*s**3" } ]
[ { "from": "human", "value": "Let p = -4 + 6. Let r = -42 - -44. What is o in 2*o - 2*o**2 - 2*o**p + 2*o**r + 0*o**2 = 0?" }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Round 4.5818 to 0 decimal places." }, { "from": "gpt", "value": "5.0" } ]
[ { "from": "human", "value": "Let h be (-2)/((-4)/(-24)*-4). Let m be 1 - (-6*1 + h). Solve 4*i = -8, 0*a = a - m*i - 10 for a." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let m(b) = -b**3 + 7*b**2 + 22*b - 9. Suppose -y + 5*i + 12 = 0, 8*i = y + 10*i - 5. List the prime factors of m(y)." }, { "from": "gpt", "value": "5, 29" } ]
[ { "from": "human", "value": "What is the y'th term of -7375, -7376, -7377?" }, { "from": "gpt", "value": "-y - 7374" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 8 and 91?" }, { "from": "gpt", "value": "728" } ]
[ { "from": "human", "value": "Suppose -24*r + 60 = 12. Let -4/5*q**4 + 4/5 + 8/5*q + 0*q**r - 8/5*q**3 = 0. What is q?" }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "Suppose -3*z = b - 44, -z + 2*b = -5*z + 58. Solve u + z = -2*u for u." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify 3 + sqrt(13) + 5 + (sqrt(104)*-4)/sqrt(8)." }, { "from": "gpt", "value": "8 - 3*sqrt(13)" } ]
[ { "from": "human", "value": "Expand (-3*y**2 + y**3 + 3*y**2 + (0 + 0 - 1)*(0*y**2 - 2*y**3 + 0*y**2) + 42*y**3 - 407*y + 407*y)*(0*y + 0*y + y)*(0 + 2 + 0)." }, { "from": "gpt", "value": "90*y**4" } ]
[ { "from": "human", "value": "Find the second derivative of -82*u**4 - 3*u**2 - 632*u wrt u." }, { "from": "gpt", "value": "-984*u**2 - 6" } ]
[ { "from": "human", "value": "What is the common denominator of 37/4 and -17/248?" }, { "from": "gpt", "value": "248" } ]
[ { "from": "human", "value": "What is the m'th term of 1905, 1906, 1907?" }, { "from": "gpt", "value": "m + 1904" } ]