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math

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[ { "from": "human", "value": "Solve 80*n - 24*n + 336 = 0 for n." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Simplify sqrt(80)*1 + (4*-1*sqrt(5) - sqrt(5))**2." }, { "from": "gpt", "value": "4*sqrt(5) + 125" } ]
[ { "from": "human", "value": "Let s(j) = j**3 - 5*j**2 - 129*j + 732. Calculate s(6)." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Simplify ((m/(m**2*m))/m)**(-8)*((m/(m*m*m**(2/3)*m))/m)**(-2/49) assuming m is positive." }, { "from": "gpt", "value": "m**(3550/147)" } ]
[ { "from": "human", "value": "Let g = 9 - 15. Let l = 1.1 + 5.9. Let p = l + g. Sort p, 0.2, -6/11 in ascending order." }, { "from": "gpt", "value": "-6/11, 0.2, p" } ]
[ { "from": "human", "value": "Let w = -6.98 - -7. Let c = w + -5.02. Put 2/7, c, 3/2 in descending order." }, { "from": "gpt", "value": "3/2, 2/7, c" } ]
[ { "from": "human", "value": "What is the q'th term of 70, 86, 116, 166, 242, 350?" }, { "from": "gpt", "value": "q**3 + q**2 + 6*q + 62" } ]
[ { "from": "human", "value": "How many minutes are there between 3:15 AM and 3:59 AM?" }, { "from": "gpt", "value": "44" } ]
[ { "from": "human", "value": "Let i = 38 + -27. Solve i - 2 = -3*k for k." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let t(r) = 2*r**3 + 18*r**2 - r + 9. Let s be t(-9). What is the highest common factor of s and 3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let n(x) = -2*x**2. Let s(r) = -14*r**2 + 4*r**2 + 4*r**2 - r - 16*r. Let y(l) = l**2 + 3*l. Let k(g) = -6*s(g) - 34*y(g). What is n(k(t))?" }, { "from": "gpt", "value": "-8*t**4" } ]
[ { "from": "human", "value": "Solve 353 = 10*m + 403 for m." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let g = -3 - 4. Let z = g + 12. What is the units digit of z?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let d = 106 + -106. Does d = -4/29?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the second derivative of -b**4*d - 913*b**3*d**3 + 8*b - 90*d**3 wrt b." }, { "from": "gpt", "value": "-12*b**2*d - 5478*b*d**3" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 418 and 22." }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Evaluate (-76)/(-114)*3/(-13)." }, { "from": "gpt", "value": "-2/13" } ]
[ { "from": "human", "value": "Evaluate ((-2)/10)/((-13)/260) - 0." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Factor d**3/5 - 2*d**2/5 - 40*d - 384/5." }, { "from": "gpt", "value": "(d - 16)*(d + 2)*(d + 12)/5" } ]
[ { "from": "human", "value": "Calculate 3*-0.276." }, { "from": "gpt", "value": "-0.828" } ]
[ { "from": "human", "value": "Find the third derivative of 2*m**2*q**5 + 90*m**2*q**4 - 9*m**2*q**2 + 13*m*q wrt q." }, { "from": "gpt", "value": "120*m**2*q**2 + 2160*m**2*q" } ]
[ { "from": "human", "value": "Is 1033395 greater than 1033395?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "10 divided by 114" }, { "from": "gpt", "value": "5/57" } ]
[ { "from": "human", "value": "Is 4 greater than 163?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor 169*q**3/5 + 1222*q**2/5 + 1312*q/5 + 384/5." }, { "from": "gpt", "value": "(q + 6)*(13*q + 8)**2/5" } ]
[ { "from": "human", "value": "What is -0.01 plus 6446?" }, { "from": "gpt", "value": "6445.99" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 6 and 17." }, { "from": "gpt", "value": "102" } ]
[ { "from": "human", "value": "What is the value of 2 + -10 - (-14 + 7)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the difference between 9 and -5.155?" }, { "from": "gpt", "value": "14.155" } ]
[ { "from": "human", "value": "In base 13, what is 0 + cc?" }, { "from": "gpt", "value": "cc" } ]
[ { "from": "human", "value": "Suppose g - 2*l + 44 = 5*g, -5*l = -3*g + 20. Suppose 5*j + 0 - g = 0. Let o(h) = -h**3 - h**2 + h + 22. Calculate the least common multiple of j and o(0)." }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Suppose 0 = -7*s + 9*s + 4. Let p = -0.2 - 0. Let d = -0.8 + p. Which is the nearest to d? (a) s (b) -0.1 (c) -2/5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "In base 4, what is 20 - 122?" }, { "from": "gpt", "value": "-102" } ]
[ { "from": "human", "value": "Let b = -5/12 - -31/4. Let i = b - 8. What is the second biggest value in -2/7, i, -5?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "Suppose 3*n + 15 = t, 18*n = 23*n - 45. Solve -t*k + 89 = -289 for k." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let h be 10/18*(-16)/(-40). Which is the third smallest value? (a) -4/9 (b) h (c) -0.4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the next term in 379, 790, 1201, 1612, 2023, 2434?" }, { "from": "gpt", "value": "2845" } ]
[ { "from": "human", "value": "What is 689 minutes before 4:15 AM?" }, { "from": "gpt", "value": "4:46 PM" } ]
[ { "from": "human", "value": "What are the prime factors of 8082?" }, { "from": "gpt", "value": "2, 3, 449" } ]
[ { "from": "human", "value": "What is the o'th term of -18, -11, -4, 3, 10, 17?" }, { "from": "gpt", "value": "7*o - 25" } ]
[ { "from": "human", "value": "What is 8.994231 nanometers in meters?" }, { "from": "gpt", "value": "0.000000008994231" } ]
[ { "from": "human", "value": "Suppose -8 = -4*t - 2*d, -5*t = -2*d - d - 32. Solve -4*n - 7 = -f, n + 3*f = f - t for n." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Express (13*x**2 - 7*x**2 - 12*x**2)*(-62 + 17 - 20) as j + b*x**2 + m*x and give j." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 12*n + 100 = 32*n for n." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let f(p) = -38*p**2 - 3*p + 8. Give f(2)." }, { "from": "gpt", "value": "-150" } ]
[ { "from": "human", "value": "Evaluate ((-7)/((-21)/(-4)))/((-2)/6)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the product of 0.2 and -24?" }, { "from": "gpt", "value": "-4.8" } ]
[ { "from": "human", "value": "Calculate the common denominator of -101/2 and -35/148." }, { "from": "gpt", "value": "148" } ]
[ { "from": "human", "value": "List the prime factors of 159997." }, { "from": "gpt", "value": "193, 829" } ]
[ { "from": "human", "value": "Let i = 1.2 - 1.1. Suppose -g + 1 = -1. Let r be 1/2*(g - -1). Which is the second smallest value? (a) i (b) 0 (c) r" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is (-1)/2*(-5)/(40/(-4))?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "What is the c'th term of -382, -386, -392, -400?" }, { "from": "gpt", "value": "-c**2 - c - 380" } ]
[ { "from": "human", "value": "What is 573 minutes before 11:08 PM?" }, { "from": "gpt", "value": "1:35 PM" } ]
[ { "from": "human", "value": "-0.5 * 955" }, { "from": "gpt", "value": "-477.5" } ]
[ { "from": "human", "value": "-0.04 * 1059" }, { "from": "gpt", "value": "-42.36" } ]
[ { "from": "human", "value": "Let k(s) be the first derivative of s**9/4032 - s**7/560 + s**5/160 + 5*s**3/3 - 5. Let y(r) be the third derivative of k(r). Factor y(c)." }, { "from": "gpt", "value": "3*c*(c - 1)**2*(c + 1)**2/4" } ]
[ { "from": "human", "value": "Simplify sqrt(16)/((sqrt(40) - sqrt(640))/sqrt(5))." }, { "from": "gpt", "value": "-sqrt(2)/3" } ]
[ { "from": "human", "value": "Work out 20 * 97." }, { "from": "gpt", "value": "1940" } ]
[ { "from": "human", "value": "What is the x'th term of -1607, -3208, -4809, -6410, -8011?" }, { "from": "gpt", "value": "-1601*x - 6" } ]
[ { "from": "human", "value": "1017*-0.1" }, { "from": "gpt", "value": "-101.7" } ]
[ { "from": "human", "value": "Find i such that i**3/3 - 2*i**2 - 37*i/3 - 10 = 0." }, { "from": "gpt", "value": "-3, -1, 10" } ]
[ { "from": "human", "value": "What is the smallest common multiple of 6 and 6?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is (10/4)/(1/(-2)*1)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Which is the nearest to 0.1? (a) -0.4 (b) 7 (c) -4 (d) -2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 3.8 (b) 2/33 (c) -1/4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let i(x) = -x**2 - 2*x + 5. Let n be i(-4). Let h be (-105)/(-28) + 3/(-36)*-3. Put h, n, -2 in decreasing order." }, { "from": "gpt", "value": "h, -2, n" } ]
[ { "from": "human", "value": "Let k be (8 - (1 + -4)) + 4. Calculate the greatest common divisor of 45 and k." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "In base 15, what is 33 - a?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "What is -167 divided by -9?" }, { "from": "gpt", "value": "167/9" } ]
[ { "from": "human", "value": "List the prime factors of 11848314." }, { "from": "gpt", "value": "2, 3, 1974719" } ]
[ { "from": "human", "value": "Solve 0 = -3*c + 2*q + 3, -1 + 2 = c + 5*q for c." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate 26/(-91)*(-210)/10." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Calculate the remainder when 150 is divided by 38." }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Calculate the remainder when 125 is divided by 6." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let z(a) = 2*a**2 - 13*a + 13. Determine z(6)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the ninth root of 39812 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 8, what is 5 + 3406?" }, { "from": "gpt", "value": "3413" } ]
[ { "from": "human", "value": "Simplify 5 + (sqrt(2057) - (sqrt(2057)*1)**2)." }, { "from": "gpt", "value": "-2052 + 11*sqrt(17)" } ]
[ { "from": "human", "value": "What is the value of -4 + 5 + 1 + -5?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Four letters picked without replacement from {e: 2, r: 4}. What is prob of sequence rrer?" }, { "from": "gpt", "value": "2/15" } ]
[ { "from": "human", "value": "Let f(t) = t**2 + 8*t + 6. What are the prime factors of f(-8)?" }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Let f(u) = 7*u**3 - 13*u + 9. Let k = 9 + -5. Suppose -k*g = -8 - 28. Let b(s) be the first derivative of 3*s**4/4 - 3*s**2 + 4*s + 1. What is g*b(t) - 4*f(t)?" }, { "from": "gpt", "value": "-t**3 - 2*t" } ]
[ { "from": "human", "value": "What is 167 minutes after 5:48 PM?" }, { "from": "gpt", "value": "8:35 PM" } ]
[ { "from": "human", "value": "Let c be (6/8)/(1/4). Let g be 2*((-2)/4 - 0). Let a be c/(-3) - g - -3. Solve 2*t - a = 1 for t." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the remainder when 391 is divided by 32." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let b(t) = t**3 - 4*t**2 + 3*t - 5. Let y be b(4). Let d(w) = -w**3 + 8*w**2 - 7*w + 4. Let l be d(y). Suppose 5*j - l*j - 3 = 0. Solve -j*v = v for v." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Product of -0.2 and -0.108." }, { "from": "gpt", "value": "0.0216" } ]
[ { "from": "human", "value": "Let u(n) = 2 - n. Let k be u(4). Let b be 2/4*8 + k. Suppose b*c - 15 = 11. What is the remainder when 23 is divided by c?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Determine h so that 2*h**3/5 - 1132*h**2/5 + 31808*h + 322624/5 = 0." }, { "from": "gpt", "value": "-2, 284" } ]
[ { "from": "human", "value": "Let m(w) = w**2 - 8*w - 6. Let n be m(9). Let l(p) = -p**3 + 4*p**2 - 2*p + 4. Calculate l(n)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Solve -4*p + 5*a = 12 + 6, -2*a - 4 = 4*p for p." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let k(c) be the first derivative of c**3/3 - c - 2. Suppose -35 = -5*m - 4*p, -4*p = -4*m - 2 - 6. What is the units digit of k(m)?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the remainder when 1043/7 + (-2 - (-2 - -2)) is divided by 30?" }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Evaluate 0 + -1 + 2 + -3 - -4." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is -15 > -0.13?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "-2 (base 3) to base 8" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 44/5 of a week in minutes?" }, { "from": "gpt", "value": "88704" } ]
[ { "from": "human", "value": "Is 418216891 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the second derivative of s**3*w**3 - 2*s**2*w**3 + 243*s**2*w**2 + 10*s*w**3 + 20*s*w wrt s?" }, { "from": "gpt", "value": "6*s*w**3 - 4*w**3 + 486*w**2" } ]
[ { "from": "human", "value": "Which is smaller: -4 or 5/16?" }, { "from": "gpt", "value": "-4" } ]