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[ { "from": "human", "value": "Solve -2*l - 2*i - 10 = 0, 28*l - 25*l + 5*i = -19 for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let c(v) be the second derivative of 1/150*v**6 + 0*v**4 + 0*v**3 - 1/100*v**5 + 0*v**2 + 0 + 4*v. Find g, given that c(g) = 0." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "What is the value of ((-24)/(-36))/((-7)/(-3))?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "What is 34431504 (base 6) in base 15?" }, { "from": "gpt", "value": "15e934" } ]
[ { "from": "human", "value": "Let g = 7 - 12. Let c(b) = b**3 + 4*b**2 - 7*b - 7. Is 3 a factor of c(g)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose x = 2*k - 44, -3*k + 32 = -2*k + 2*x. Suppose -4*v - 36 - k = 0. Let j be ((-10)/v)/(2/3). Solve 5 - j = q for q." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let v(x) = -15*x**3 + 3*x**2 - 20. Let a(q) = q**3 - q**2. Let t(j) = 3*a(j) + v(j). What is the derivative of t(o) wrt o?" }, { "from": "gpt", "value": "-36*o**2" } ]
[ { "from": "human", "value": "Add together 9929 and -3." }, { "from": "gpt", "value": "9926" } ]
[ { "from": "human", "value": "Is 25703 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -4*p + 5*o - 87 = 0, -154 + 38 = 5*p + o. Let h = p - -47. Suppose -h = -0*v - 2*v. List the prime factors of v." }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Let q(g) = -g**2 - 3*g + 15. Let u be q(-5). What is the second smallest value in 2/9, u, -5?" }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "Suppose -4*q + q - 5*o = -17, -4*q - 3*o = -19. Determine k, given that 4*k**2 + 3*k**2 - 3*k**2 - 6 + 9*k - k**2 + 3*k**q - 9*k**3 = 0." }, { "from": "gpt", "value": "-1, 1, 2" } ]
[ { "from": "human", "value": "What is the value of 0 + (-2)/4*(-6 + 10)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Simplify -5 + 4*(sqrt(1539) + (sqrt(1539) - sqrt(1539)*2) + sqrt(1539) + sqrt(1539))**2." }, { "from": "gpt", "value": "24619" } ]
[ { "from": "human", "value": "Solve -3*r = 0, -6 = d + r - 3 - 2 for d." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Evaluate -4 - (-2 + -3 - -3)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the k'th term of -4669, -9338, -14007?" }, { "from": "gpt", "value": "-4669*k" } ]
[ { "from": "human", "value": "Find f, given that f**5/2 - f**4/2 - 9*f**3/2 + 5*f**2/2 + 8*f - 6 = 0." }, { "from": "gpt", "value": "-2, 1, 3" } ]
[ { "from": "human", "value": "Let r(g) = g - 9. Let p be r(9). Let j = 0 - p. Let h(x) = x**3 - x**2 - x + 3. What is h(j)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Differentiate 1161*m - 613." }, { "from": "gpt", "value": "1161" } ]
[ { "from": "human", "value": "Calculate (-24)/36*(-54)/12." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let s(i) = i**2 + i - 5. Let r be s(0). Let g = 11 + r. Is g composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let c = 19 - 14. Suppose -c*j + 60 = -3*j. What is the remainder when 58 is divided by j?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Collect the terms in 105*t - 192*t + 99*t - 3." }, { "from": "gpt", "value": "12*t - 3" } ]
[ { "from": "human", "value": "Solve -150 = 259*b - 274*b for b." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let m = 1 - 0.6. Let k = 83 - 86. Which is the second smallest value? (a) -1 (b) m (c) k" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What comes next: 47, 92, 167, 272, 407, 572, 767?" }, { "from": "gpt", "value": "992" } ]
[ { "from": "human", "value": "What is the v'th term of -93, -264, -525, -882, -1341, -1908, -2589?" }, { "from": "gpt", "value": "-v**3 - 39*v**2 - 47*v - 6" } ]
[ { "from": "human", "value": "Let w be 4/(-10) + 14/10. Let n(q) = 4*q**3 - 1. Let k be n(w). Suppose -4*j - 16 = 0, 0 = -k*x - j - 3*j + 2. Solve 3*d + x = -0*d for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let f be 0 - -2*39/(-252). Let c = -4/21 + f. Let t be ((-2)/(-4))/(5/2). Is t at least as big as c?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate 5/((-10)/(-8)) + (-14)/3." }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "10554105 (base 7) to base 10" }, { "from": "gpt", "value": "921009" } ]
[ { "from": "human", "value": "Suppose 2*c = -0*c. Let k(o) = -o**3 + 6*o**2 + 7*o + 4. Suppose -z + 4 = -3. Let p be k(z). Solve c*d + p = 4*d for d." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the second smallest value in 1/5, -4, 0.0759?" }, { "from": "gpt", "value": "0.0759" } ]
[ { "from": "human", "value": "Suppose 7*d = 4*d - 5*l + 36, 2*d - 26 = -4*l. Let k = 4 - d. Let v(r) = 1 - r. Let j be v(k). Solve f - 4*u + 23 = 0, 5*f = 2*f - j*u + 11 for f." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the second derivative of -11*s**3 + s**3 + 2*s**3 - 11*s wrt s?" }, { "from": "gpt", "value": "-48*s" } ]
[ { "from": "human", "value": "Let t(n) = -6*n**2 + n - 11. Let w(k) = -k**2 - 2. Let c(s) = -2*t(s) + 11*w(s). Find the second derivative of c(y) wrt y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Total of -5 and 0.01042." }, { "from": "gpt", "value": "-4.98958" } ]
[ { "from": "human", "value": "Subtract 0.358 from 0.0039." }, { "from": "gpt", "value": "-0.3541" } ]
[ { "from": "human", "value": "Rearrange 0*o**2 + o**2 - 3*o**2 + (0*o + 2*o - o)*(4*o + 15 - 15) - 93*o + 2 + 4*o**2 + 93*o to m*o**2 + g*o + v and give m." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Solve 3*y - z + 10 = 0, 0 = 5*y + z + 10 + 4 for y." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the remainder when 1510 is divided by 20?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Suppose -3*t = -5 - 1. Let l(f) = f + 4. Let r be l(-4). Solve -2*u - t*u = r for u." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Determine j so that -5*j**5/4 - 395*j**4/4 + 425*j**3/4 + 2015*j**2/4 + 300*j = 0." }, { "from": "gpt", "value": "-80, -1, 0, 3" } ]
[ { "from": "human", "value": "Calculate 3 divided by 28." }, { "from": "gpt", "value": "3/28" } ]
[ { "from": "human", "value": "Calculate prob of picking 2 i when two letters picked without replacement from ooaxiiixizxsiozzzxxz." }, { "from": "gpt", "value": "1/19" } ]
[ { "from": "human", "value": "Evaluate (14/9 - 2)/((-2)/(-6))." }, { "from": "gpt", "value": "-4/3" } ]
[ { "from": "human", "value": "Let v be (4/18)/((-2)/(-6)). Suppose -3*d + 8*d = 5. Let l be (d + 0)*3*1. What is the third biggest value in -0.5, v, l?" }, { "from": "gpt", "value": "-0.5" } ]
[ { "from": "human", "value": "Let z = -8 + 6. Sort -5, -4, z, 11." }, { "from": "gpt", "value": "-5, -4, z, 11" } ]
[ { "from": "human", "value": "Differentiate 11*x**4 + 4*x - 2*x - 25 - 2*x wrt x." }, { "from": "gpt", "value": "44*x**3" } ]
[ { "from": "human", "value": "What is the remainder when 70 is divided by 50?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Solve 2*l - 6 = 4*t - 0*l, -4*t - 11 = 3*l for t." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 2 and 58." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose 19 - 55 = -3*b. Suppose -2*k - 4 + b = 0. Solve 3*m = m - k for m." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let p be ((-12)/10)/((-4)/10). Let x(i) = i - 2*i**2 - p*i + i. Suppose h - 10 = 6*h. Give x(h)." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Suppose 8 = -5*r - 22. Let f(v) = -11*v**2 + 11*v. Let i(l) = 0*l + 2*l + 0*l - 2*l**2. Let t(a) = r*f(a) + 34*i(a). Factor t(o)." }, { "from": "gpt", "value": "-2*o*(o - 1)" } ]
[ { "from": "human", "value": "Suppose 0 = -k + 5*k - 8. Suppose -2*j - 4*s = -24, 0 = -j + k*s - 14 + 6. Suppose 0 = 6*r - r - 5. Solve 3 = -x - 4*v, -j*x - 5*v + r = 4 for x." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let m be 2/2 + 7 - 2. Let p be 2/(-6) + 2/m. Let a be (5 - -3)*6/12. Is p at most as big as a?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the square root of 711 to the nearest integer?" }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "What is 519 to the power of 1/7, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is -40 smaller than -10/23?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is next in -19, -38, -57, -76, -95, -114?" }, { "from": "gpt", "value": "-133" } ]
[ { "from": "human", "value": "What is 174152 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "417" } ]
[ { "from": "human", "value": "In base 13, what is 35 - 49?" }, { "from": "gpt", "value": "-14" } ]
[ { "from": "human", "value": "Which is smaller: -2523 or -7571/3?" }, { "from": "gpt", "value": "-7571/3" } ]
[ { "from": "human", "value": "What is the z'th term of 57, 69, 93, 135, 201, 297, 429?" }, { "from": "gpt", "value": "z**3 + 5*z + 51" } ]
[ { "from": "human", "value": "Solve 3*m - 478 + 496 = 0 for m." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the d'th term of 35, 68, 109, 158, 215, 280, 353?" }, { "from": "gpt", "value": "4*d**2 + 21*d + 10" } ]
[ { "from": "human", "value": "Is 104 a factor of 2352?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor -15/8 - 3/8*a**2 - 9/4*a." }, { "from": "gpt", "value": "-3*(a + 1)*(a + 5)/8" } ]
[ { "from": "human", "value": "Let d(n) = -n. Suppose 5*i - i = 0. Let p be (-1 - -2)*(i - 1). Let s be d(p). Does 3 = s?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let c = -0.03 - 0. Let p = c + 3.03. What is the smallest value in -3, 0, p?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve 122 = 103*s - 84 for s." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate (-6 - (-5 + 4 - 1)) + 9." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the l'th term of 68, 68, 66, 62, 56, 48?" }, { "from": "gpt", "value": "-l**2 + 3*l + 66" } ]
[ { "from": "human", "value": "17013 (base 8) to base 9" }, { "from": "gpt", "value": "11485" } ]
[ { "from": "human", "value": "What is the next term in -3034, -3039, -3048, -3061?" }, { "from": "gpt", "value": "-3078" } ]
[ { "from": "human", "value": "Let l = 5 + -3. Let q be 15/3 - (0 + l). Suppose 0 = -5*x + h + 3*h - 1, -5*h + 29 = q*x. Solve -3*u + 10 = 2*u, 7 = x*o - u for o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "List the prime factors of 7612." }, { "from": "gpt", "value": "2, 11, 173" } ]
[ { "from": "human", "value": "Simplify 2 + (-1*sqrt(288)*6)**2." }, { "from": "gpt", "value": "10370" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 32 and 80." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Solve 0 = -8*y - 39 - 1 for y." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let f(q) = -q**2 + 148*q - 5273. Give f(60)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Suppose -2 + 1 = f. Let i(u) = -u**3 - 1. Let b be i(f). Solve b = -a - 1 - 0 for a." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose 4*j + 4*x = -195200004, 3*j - 3*x + 243999997 = -2*j. Round j to the nearest one million." }, { "from": "gpt", "value": "-49000000.0" } ]
[ { "from": "human", "value": "Calculate the remainder when 482 is divided by 127." }, { "from": "gpt", "value": "101" } ]
[ { "from": "human", "value": "What is the next term in -2, -12, -18, -20, -18?" }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -0.1 (b) -1 (c) -93" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Calculate the remainder when 2481 is divided by 818." }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Let n = 100 + -105. What is the biggest value in -7, n, 0.1?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "Let w = -31 + 33. What is the greatest common factor of w and 10?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -3*m + 38 = 20 for m." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Is 9182 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What comes next: -77, -70, -63, -56, -49?" }, { "from": "gpt", "value": "-42" } ]
[ { "from": "human", "value": "Suppose -7 = -4*b + 21. Solve w - b = -w + y, -3*y - 14 = w for w." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 96 and 864." }, { "from": "gpt", "value": "96" } ]
[ { "from": "human", "value": "What is 171744 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 10, what is -64 - -5?" }, { "from": "gpt", "value": "-59" } ]
[ { "from": "human", "value": "What is 1657.58 rounded to the nearest 100?" }, { "from": "gpt", "value": "1700.0" } ]
[ { "from": "human", "value": "Let k(x) = -3*x - 33. Determine k(-11)." }, { "from": "gpt", "value": "0" } ]