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math

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[ { "from": "human", "value": "Put -31, -4, 1 in increasing order." }, { "from": "gpt", "value": "-31, -4, 1" } ]
[ { "from": "human", "value": "Let a(s) = 6*s - 2. What is a(1)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the v'th term of -267, -545, -825, -1107?" }, { "from": "gpt", "value": "-v**2 - 275*v + 9" } ]
[ { "from": "human", "value": "Simplify 3 + sqrt(175)*1." }, { "from": "gpt", "value": "3 + 5*sqrt(7)" } ]
[ { "from": "human", "value": "Let w(p) = -4*p**2. Let u(x) = -x - 113. What is w(u(c))?" }, { "from": "gpt", "value": "-4*c**2 - 904*c - 51076" } ]
[ { "from": "human", "value": "Solve -5*k**2 - 86640*k - 375324480 = 0 for k." }, { "from": "gpt", "value": "-8664" } ]
[ { "from": "human", "value": "What comes next: 93, 376, 861, 1560, 2485, 3648, 5061?" }, { "from": "gpt", "value": "6736" } ]
[ { "from": "human", "value": "Let q = 104.93 + -107. Let l = q + 0.07. What is the closest to -1 in 4, 4/3, l?" }, { "from": "gpt", "value": "l" } ]
[ { "from": "human", "value": "What is the remainder when 287 is divided by 110?" }, { "from": "gpt", "value": "67" } ]
[ { "from": "human", "value": "In base 5, what is 1 - 2103?" }, { "from": "gpt", "value": "-2102" } ]
[ { "from": "human", "value": "Differentiate -19*x**3 + 2*x**2 - 21 with respect to x." }, { "from": "gpt", "value": "-57*x**2 + 4*x" } ]
[ { "from": "human", "value": "(-1 - 1) + 1 - -6 - 7" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Evaluate 6 - (-4 + (6 - -3))." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is -3 + (4 - 1) + (2 - 4)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Factor -24*u**2/7 + 122*u/7 - 148/7." }, { "from": "gpt", "value": "-2*(u - 2)*(12*u - 37)/7" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -3 (b) 3/4 (c) 2/9 (d) 4 (e) -1/328" }, { "from": "gpt", "value": "e" } ]
[ { "from": "human", "value": "Simplify ((3*(sqrt(17) - sqrt(272)) - sqrt(17)) + (sqrt(17) - sqrt(34)/sqrt(2)) + -4)**2." }, { "from": "gpt", "value": "80*sqrt(17) + 1716" } ]
[ { "from": "human", "value": "Let t(a) = -a**2 - 5*a - 6. Let l(i) = -2*i - 3. Let v be 3 + 2 - (-2 - -5). Let o(s) = v*t(s) - 5*l(s). Find the first derivative of o(z) wrt z." }, { "from": "gpt", "value": "-4*z" } ]
[ { "from": "human", "value": "What is -2 - ((3 - (5 + -2)) + 3)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the remainder when 16 is divided by 7?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 5 divided by -1?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve 0 = 7*o + 19 - 47 for o." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 0 = 2*i - 2*x - 12, -x + 0*x + 2 = 3*i. Solve i*a = 3*a - 2 for a." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is 40 a factor of 14040?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -4*d + 12 = 4 for d." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let c(p) = -p**2 + 2*p + 1. Let n(g) = g**2 - g - 2. Let j be n(3). Suppose -u + h = -6*u + 11, 5*u - j*h - 6 = 0. Calculate c(u)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "List the prime factors of 3589738." }, { "from": "gpt", "value": "2, 31, 57899" } ]
[ { "from": "human", "value": "Let l(r) = -2*r**5 + 7*r**3 - 7*r**2 + 7*r. Let v(j) = j**5 - 3*j**3 + 3*j**2 - 3*j. Let i = -2 + 5. Let y(d) = i*l(d) + 7*v(d). Suppose y(q) = 0. What is q?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the biggest value in 3, 0.06, -2/31, 6?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Work out -92 - -0.6." }, { "from": "gpt", "value": "-91.4" } ]
[ { "from": "human", "value": "Determine s so that -4*s**4/5 - 256*s**3/5 - 100*s**2 - 248*s/5 = 0." }, { "from": "gpt", "value": "-62, -1, 0" } ]
[ { "from": "human", "value": "3 + 1 + 1 - (13 + -11)" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Evaluate 13 + -6 + -11 - (-1 - 0)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Evaluate ((-2)/3)/(62/279)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -4*k + n + 8 = 0, -3*k - 20 = -7*k - 2*n. What is the second derivative of -h - 4*h + 8*h + 0*h**2 + k*h**2 wrt h?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the next term in -295, -1172, -2633, -4678?" }, { "from": "gpt", "value": "-7307" } ]
[ { "from": "human", "value": "What is ((9/15)/(-3))/(3/(-15))?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let i(b) = -b**3 + 6*b**2 - 4*b - 5. Let q be i(5). Solve q = -j + 4*f + 24 - 3, 21 = -4*j - 5*f for j." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What are the prime factors of 142271?" }, { "from": "gpt", "value": "142271" } ]
[ { "from": "human", "value": "What is the remainder when 103 is divided by 101?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 16, what is 1aa1 - 2?" }, { "from": "gpt", "value": "1a9f" } ]
[ { "from": "human", "value": "Let b(k) = -k**2 - 167. Let l(y) = -y. Determine l(b(h))." }, { "from": "gpt", "value": "h**2 + 167" } ]
[ { "from": "human", "value": "Let l(a) be the second derivative of -1/25*a**5 + 0 + 2/15*a**3 - 1/30*a**4 + 0*a**2 - 2*a + 1/75*a**6. Find v, given that l(v) = 0." }, { "from": "gpt", "value": "-1, 0, 1, 2" } ]
[ { "from": "human", "value": "Solve 0 = -4*n - 4*x - 36, 17*x = 16*x - 4 for n." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the remainder when 143884 is divided by 1308?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -3*l + 2*o = 10, 3*l + 6 = 3*o - 9. Solve u + 3*z + 11 = l, 8*u - 4*u - 5*z = 24 for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the value of 3/(2/((-20)/15))?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "List the prime factors of (-46 + 2 + -1)/((-1)/1)." }, { "from": "gpt", "value": "3, 5" } ]
[ { "from": "human", "value": "Calculate 2 divided by -195." }, { "from": "gpt", "value": "-2/195" } ]
[ { "from": "human", "value": "Suppose 0 = 2*g + 4*i + 6 - 22, -4*g + 4*i = -20. What is the least common multiple of 122/18 + 4/18 and g*2/4 - 2?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Factor -6*j**3 + 11*j**2 - 4*j - 1." }, { "from": "gpt", "value": "-(j - 1)**2*(6*j + 1)" } ]
[ { "from": "human", "value": "Let i = 4 + 6. Suppose -4*s - i = 6. Is 29 - (s/1 - -2) a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Divide 515 by -103." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify (sqrt(114)/(sqrt(24)/sqrt(4)))**2 - 1*(sqrt(19) - sqrt(475))." }, { "from": "gpt", "value": "4*sqrt(19) + 19" } ]
[ { "from": "human", "value": "Suppose -1 = -w - 3. Let f = -0.04 - 0.26. Which is the biggest value? (a) -0.1 (b) f (c) w" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the hundred thousands digit of 5769010?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Solve 3*z - 5*n + 3 = 0, 5 = -5*z + 13*n - 11*n for z." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Factor -7*u**3 - 366*u**2 + 267*u + 106." }, { "from": "gpt", "value": "-(u - 1)*(u + 53)*(7*u + 2)" } ]
[ { "from": "human", "value": "Calculate the remainder when 1065 is divided by 178." }, { "from": "gpt", "value": "175" } ]
[ { "from": "human", "value": "What is the thousands digit of 8242?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is 670 minutes after 8:33 AM?" }, { "from": "gpt", "value": "7:43 PM" } ]
[ { "from": "human", "value": "Let r(b) be the first derivative of 2*b**3/3 + 11*b**2/2 - 16. What is the second derivative of r(z) wrt z?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the g'th term of 41, 56, 73, 92?" }, { "from": "gpt", "value": "g**2 + 12*g + 28" } ]
[ { "from": "human", "value": "Is 4303 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -3*c - 18 = -o, -5*c - 9 - 4 = 4*o for o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Is 153/8 != 18?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -20 = 5*j, j = -31*n + 28*n + 23117. List the prime factors of n." }, { "from": "gpt", "value": "3, 7, 367" } ]
[ { "from": "human", "value": "Let k = 5 - 5. Suppose k = -6*q + q. Solve q = -3*v + 2*v - 5 for v." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Factor 26*q**3 + 342*q**2 + 364*q + 48." }, { "from": "gpt", "value": "2*(q + 1)*(q + 12)*(13*q + 2)" } ]
[ { "from": "human", "value": "-26 + 0 + 13 + 23" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the value of (2/3)/(((-130)/13)/120)?" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Let m be (0 - 22)*162/(-36). What is the greatest common factor of m and 66?" }, { "from": "gpt", "value": "33" } ]
[ { "from": "human", "value": "What is the l'th term of 855, 894, 933?" }, { "from": "gpt", "value": "39*l + 816" } ]
[ { "from": "human", "value": "Find the second derivative of -27*a**3 - 11*a - 8*a - 8*a wrt a." }, { "from": "gpt", "value": "-162*a" } ]
[ { "from": "human", "value": "Is 15 a factor of 3885?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -m = -2*x - 38, 3*x = -186*m + 191*m - 71 for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve -j + 2*p - 5*p = 7, -15 = -3*j + 3*p for j." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let v(d) be the third derivative of -d**6/120 - d**5/15 + d**4/4 + 3*d**3/2 + 3*d**2. Let q be v(-5). Solve 0 = -7*x + q*x + 15 for x." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve -5*q**3 - 175*q**2 - 1440*q + 1620 = 0 for q." }, { "from": "gpt", "value": "-18, 1" } ]
[ { "from": "human", "value": "Suppose 0 = -l + 26 - 1. Suppose m + 19 + 16 = 5*j, 5*m = -l. Suppose 4*d + 5*h = 8, -4*h = j*d - 2*d - 8. Solve 2*b + 0 = 5*n - 8, d*b + 4 = 3*n for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let q = 2.96 + 0.04. Let k = q - 1. Let u = -7 + 7.4. What is the nearest to -2 in u, 5, k?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Let j = 3 - 0. Let h(s) = -s**2 + 3*s + 3. Let d be h(j). Solve 3 = 3*q - d for q." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is -0.05508 plus -3?" }, { "from": "gpt", "value": "-3.05508" } ]
[ { "from": "human", "value": "What is k in 2*k**2/7 - 68*k/7 + 66/7 = 0?" }, { "from": "gpt", "value": "1, 33" } ]
[ { "from": "human", "value": "Expand (-1 + 1 - 2*o)*(75*o - 1919 + 1919)." }, { "from": "gpt", "value": "-150*o**2" } ]
[ { "from": "human", "value": "What is the value of ((-38)/(-133))/(24/(-14))?" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Simplify (sqrt(17) - (sqrt(17) - -4*sqrt(1088))**2) + 1*sqrt(833) + sqrt(833)." }, { "from": "gpt", "value": "-18513 + 15*sqrt(17)" } ]
[ { "from": "human", "value": "Let u be (-4)/5*2*-5. Suppose 3*v + u = 2. Let m = 4 - v. Solve -m = -3*b + 3 for b." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Sort -0.05, -1, 31, 4/5." }, { "from": "gpt", "value": "-1, -0.05, 4/5, 31" } ]
[ { "from": "human", "value": "What comes next: -25, -17, -9?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let i(w) be the third derivative of -w**6/540 + w**5/90 - w**4/36 + w**3/27 - 3*w**2. Factor i(p)." }, { "from": "gpt", "value": "-2*(p - 1)**3/9" } ]
[ { "from": "human", "value": "-2120 (base 3) to base 8" }, { "from": "gpt", "value": "-105" } ]
[ { "from": "human", "value": "Let x(s) = s**2 + 2*s - 5. Let d be x(2). Suppose -2*r + r + d*n = -21, -3*r = 2*n - 19. What are the prime factors of r?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is 2 divided by 908?" }, { "from": "gpt", "value": "1/454" } ]
[ { "from": "human", "value": "What are the prime factors of 18080472?" }, { "from": "gpt", "value": "2, 3, 753353" } ]
[ { "from": "human", "value": "In base 5, what is 422 - -1034?" }, { "from": "gpt", "value": "2011" } ]
[ { "from": "human", "value": "Find q such that -2*q**4/3 + 40*q**3/3 - 38*q**2/3 = 0." }, { "from": "gpt", "value": "0, 1, 19" } ]
[ { "from": "human", "value": "Let r(z) = -2 - 11*z + 10*z + 2. Let n(j) = j**2 + 4*j + 3. Let m be n(-3). Let v = 2 + m. Give r(v)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is 57 less than 50?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "-1 + (-4)/((-2)/10*-5)" }, { "from": "gpt", "value": "-5" } ]