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[ { "from": "human", "value": "Determine s so that -s**3/4 - 337*s**2/4 - 27531*s/4 + 146205/4 = 0." }, { "from": "gpt", "value": "-171, 5" } ]
[ { "from": "human", "value": "What is the remainder when 17053962 is divided by 1046?" }, { "from": "gpt", "value": "1024" } ]
[ { "from": "human", "value": "Let v(a) = -2*a**3 - 3*a - 8. Let f(b) = -b**3 + b + 1. What is -6*f(m) - v(m)?" }, { "from": "gpt", "value": "8*m**3 - 3*m + 2" } ]
[ { "from": "human", "value": "Let d be (-34)/(-51) + (-16)/6. Put -3, d, -1 in increasing order." }, { "from": "gpt", "value": "-3, d, -1" } ]
[ { "from": "human", "value": "What is (-23)/(-92)*(2*-1)/1?" }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "What is the next term in 97, 93, 89, 85, 81, 77?" }, { "from": "gpt", "value": "73" } ]
[ { "from": "human", "value": "What are the prime factors of 816?" }, { "from": "gpt", "value": "2, 3, 17" } ]
[ { "from": "human", "value": "Suppose -4*l = -5*l + 12. Let h = l + -4. What is the remainder when 15 is divided by h?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let s be 2/((-2)/(-7 - 1)). Calculate the greatest common factor of s and 72." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "In base 5, what is 114 - -213?" }, { "from": "gpt", "value": "332" } ]
[ { "from": "human", "value": "1 - 3 - (6 - 3)" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the sixth root of 1995 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve -12 = 5*q + 3*f, -4*f + 3*f - 4 = 0 for q." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Simplify (-4 + sqrt(8) + -1 + 3)**2." }, { "from": "gpt", "value": "12 - 8*sqrt(2)" } ]
[ { "from": "human", "value": "Put -2, -0.07, 0.4 in descending order." }, { "from": "gpt", "value": "0.4, -0.07, -2" } ]
[ { "from": "human", "value": "What is the a'th term of 39, 60, 73, 72, 51, 4, -75, -192?" }, { "from": "gpt", "value": "-a**3 + 2*a**2 + 22*a + 16" } ]
[ { "from": "human", "value": "What is the hundreds digit of 21379?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is bigger: 1/417 or -1?" }, { "from": "gpt", "value": "1/417" } ]
[ { "from": "human", "value": "Solve 6 = 5677*g - 5683*g for g." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let x = -38 - -42. Solve -x*r + 24 = 2*h, 2*r = -0*h + h + 4 for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let l = 12 + -35. Let n = l + 19.1. Let j = -1.1 + n. Which is the smallest value? (a) -2/5 (b) j (c) 0" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 3*l = 4*l - 3, -5*r + l - 3 = 0 for r." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let n = 595 + -163. What is the greatest common factor of 54 and n?" }, { "from": "gpt", "value": "54" } ]
[ { "from": "human", "value": "Let d be 2/(-1)*(0 + -1). Let t be ((-2)/(-4))/(d/(-4)). Let u be (0 + t - -1)/(-2). Solve u = -n - 3 for n." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let r(s) be the second derivative of -s**7/21 - 7*s**4/12 - 6*s. Find the third derivative of r(c) wrt c." }, { "from": "gpt", "value": "-120*c**2" } ]
[ { "from": "human", "value": "Work out 0.0779 + -26." }, { "from": "gpt", "value": "-25.9221" } ]
[ { "from": "human", "value": "Let p = 33 - 32. Put 0.4, 3, p, -10 in decreasing order." }, { "from": "gpt", "value": "3, p, 0.4, -10" } ]
[ { "from": "human", "value": "What is the remainder when 393 is divided by 66?" }, { "from": "gpt", "value": "63" } ]
[ { "from": "human", "value": "Calculate 3 + -4 - (-5 - -2)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the derivative of 3*v**3 - 5*v**2 + 2*v - 11964 wrt v?" }, { "from": "gpt", "value": "9*v**2 - 10*v + 2" } ]
[ { "from": "human", "value": "Let n be (-2)/8*(-24)/(-4). Let z = 0.04 + 0.24. Let l = z + 0.02. Which is the biggest value? (a) l (b) -4 (c) n" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let y(n) = -n**3 + 5*n**2 - 2*n + 7. Let u be y(5). Let i be ((-2)/u)/((-1)/(-12)). Suppose s - 5*s + i = 0. Solve 3 = m - s for m." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let j = -2.15 + 1.95. What is the closest to j in -0.3, 2, -1/2?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "Solve -3*j - 15 = r, -j + 0*r + 2*r = 5 for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let k(p) = 2*p - 8. Let g be k(6). Let f(y) be the first derivative of y**4/4 - 4*y**3/3 + y**2 - y + 2. Is f(g) a multiple of 5?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the third derivative of m**2 + 8*m**6 + 11*m**2 + 10*m**6 - 3*m**6 wrt m." }, { "from": "gpt", "value": "1800*m**3" } ]
[ { "from": "human", "value": "What is the remainder when 588 is divided by 93?" }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "Let x(y) = -3*y - 31. Let b be x(-11). Solve b*g - 3 - 7 = 0 for g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let y(k) = k**3 - 8*k**2 + 8*k + 3. Let f be y(7). Suppose 2*c = f - 2. Find the second derivative of w + 6*w**4 - 4*w**4 - c*w wrt w." }, { "from": "gpt", "value": "24*w**2" } ]
[ { "from": "human", "value": "Is 2 a factor of 2518?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let c be -4*(1 + 3/(-2)). Suppose 4*m = -2*o + c, o + 3 = -5*m - 2. What is the third derivative of 4*k - 2*k**2 - 5*k**o + 3*k**5 - 4*k wrt k?" }, { "from": "gpt", "value": "-120*k**2" } ]
[ { "from": "human", "value": "What is the value of 1 + -1 + -1 + (19 - 14)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let l(m) = 3*m**2 - 4. Let v(p) = -p**2 + p + 1. Let h(o) = l(o) + 4*v(o). Find the second derivative of h(g) wrt g." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -4*s - 7*s + 9*s = 0 for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let d be 0 - (0 - (-3)/(-3)). Let t(o) = 1 - 3*o**2. Calculate t(d)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let 3292515*f**4 + 227070*f**3 + 5220*f**2 + 40*f = 0. Calculate f." }, { "from": "gpt", "value": "-2/87, 0" } ]
[ { "from": "human", "value": "What is 24 (base 5) in base 16?" }, { "from": "gpt", "value": "e" } ]
[ { "from": "human", "value": "Let i(f) = f**2 + 7*f - 9. Let o be i(-8). Let b be -1 - (o - 1/(-1)). Let v be 2/8 - b/(-4). Solve q + 4*q - 5 = v for q." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let b(q) = 12*q - 7. Let v be b(6). Let k = -8 + v. Is k a multiple of 15?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 20 and 2500." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Put 1, -2/3, -0.4, 65 in ascending order." }, { "from": "gpt", "value": "-2/3, -0.4, 1, 65" } ]
[ { "from": "human", "value": "What is the x'th term of -223, -116, -19, 62, 121, 152, 149, 106?" }, { "from": "gpt", "value": "-x**3 + x**2 + 111*x - 334" } ]
[ { "from": "human", "value": "Suppose 3*j = -3*b + 177, -2*j + 5*j - 5*b = 161. Calculate the remainder when j is divided by 21." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "In base 3, what is 2022 - 121?" }, { "from": "gpt", "value": "1201" } ]
[ { "from": "human", "value": "Let m(u) = -u**3 - 2*u**2 - u - 4. Let n be m(-3). Suppose x = -x - n. Sort 4, x, -1." }, { "from": "gpt", "value": "x, -1, 4" } ]
[ { "from": "human", "value": "Round 0.0003624 to 5 decimal places." }, { "from": "gpt", "value": "0.00036" } ]
[ { "from": "human", "value": "What is the third root of 2609 to the nearest integer?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "What is 328 minutes after 2:19 PM?" }, { "from": "gpt", "value": "7:47 PM" } ]
[ { "from": "human", "value": "Let p(s) = s - 8. Let q be p(10). Suppose q*b = -2*b. Solve -r = -3*o + 15, 5*o + b*r - 35 = 5*r for o." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -6*u = -131 - 133. List the prime factors of u." }, { "from": "gpt", "value": "2, 11" } ]
[ { "from": "human", "value": "Let o = -53 + 85. Solve 4*x - 5*i = -o, -3*x - 4*i = -2*i + 1 for x." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is -9098 divided by 6?" }, { "from": "gpt", "value": "-4549/3" } ]
[ { "from": "human", "value": "What is the l'th term of 384, 387, 390?" }, { "from": "gpt", "value": "3*l + 381" } ]
[ { "from": "human", "value": "Let b(l) be the third derivative of -7*l**5/30 + l**4/6 + l**3 + 32*l**2. Find the second derivative of b(y) wrt y." }, { "from": "gpt", "value": "-28" } ]
[ { "from": "human", "value": "Let x = -3051 - -3050.5. Which is the nearest to -1/3? (a) 3 (b) x (c) 485 (d) -1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Differentiate -4*h**2*o + 12*h*o**3 + 106*o**3 with respect to h." }, { "from": "gpt", "value": "-8*h*o + 12*o**3" } ]
[ { "from": "human", "value": "Let v be 18/63 - 32/14. Let b = v - -36. Is b a multiple of 17?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is -82 >= -82?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 5*d + r = 9 + 8, 2*d - 11 = r. Suppose 4*b + 8 = s - d*s, 2*s - 2*b - 4 = 0. Let y(p) = -4*p - 1. Let n be y(-1). Solve s = n*z - 3 for z." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -2*c - 2*c + 56 = 4*m, -5*c = 2*m - 82. Calculate the highest common divisor of 126 and c." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Simplify (6*(sqrt(228)*-1 - sqrt(228)))/(sqrt(588) - (sqrt(588) - ((-2*sqrt(588) - sqrt(588)) + sqrt(588))) - sqrt(588))." }, { "from": "gpt", "value": "4*sqrt(19)/7" } ]
[ { "from": "human", "value": "In base 7, what is 4 - 12146?" }, { "from": "gpt", "value": "-12142" } ]
[ { "from": "human", "value": "Collect the terms in -26 + 24 + 0*r**2 - 44*r**3 + 0*r**2." }, { "from": "gpt", "value": "-44*r**3 - 2" } ]
[ { "from": "human", "value": "Calculate the remainder when 143303 is divided by 57." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Multiply 8.233 and -1." }, { "from": "gpt", "value": "-8.233" } ]
[ { "from": "human", "value": "What is 371 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "What is next in 137, 131, 125, 119, 113, 107?" }, { "from": "gpt", "value": "101" } ]
[ { "from": "human", "value": "1011 (base 3) to base 8" }, { "from": "gpt", "value": "37" } ]
[ { "from": "human", "value": "What is -155 less than -0.5?" }, { "from": "gpt", "value": "154.5" } ]
[ { "from": "human", "value": "Suppose 0 = 3*d + 6, -3*o - 4*d = 2*o + 8. What is the nearest to o in 1/5, 1, 1/3?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "Suppose -u + 3 = 4*k, 0 = -0*u + u - 5*k + 24. Let x = u - -12. Solve 0 = -x*q + 5*l - 3*l + 6, l = 2*q - 4 for q." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 9288 divided by 86?" }, { "from": "gpt", "value": "108" } ]
[ { "from": "human", "value": "What is the value of -2*(-3)/(-4)*(-12)/6?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Collect the terms in -416267 + 2*b**3 + 416267." }, { "from": "gpt", "value": "2*b**3" } ]
[ { "from": "human", "value": "Let t be (-3)/2*2 - 37/(-9). Factor -t*v**3 - 2/3*v**2 + 4/9*v + 0." }, { "from": "gpt", "value": "-2*v*(v + 1)*(5*v - 2)/9" } ]
[ { "from": "human", "value": "How many minutes are there between 5:32 AM and 2:18 PM?" }, { "from": "gpt", "value": "526" } ]
[ { "from": "human", "value": "Let b(v) = 0*v + 4*v - 6*v + v. Let d(f) = -23*f. Calculate d(b(k))." }, { "from": "gpt", "value": "23*k" } ]
[ { "from": "human", "value": "Suppose t - 4*t + 5*u = -11, -5*u = 5. Suppose -4*y - y - 5 = 0, 31 = t*k - y. What is the units digit of k?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Simplify sqrt(7)*-4*-4 - sqrt(7) - 3*(3 + sqrt(7))." }, { "from": "gpt", "value": "-9 + 12*sqrt(7)" } ]
[ { "from": "human", "value": "Solve 3*d + d = a + 14, 0 = 5*d + 5*a - 5 for d." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let i = -8 - -13. Suppose -i*s - 3 + 18 = 0. Suppose -j - p + s = 0, j + 3*j - 18 = -p. Solve -3*n + 7*n = 3*q + 20, -j*q = 20 for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Evaluate (-10)/(-15)*(-12)/76." }, { "from": "gpt", "value": "-2/19" } ]
[ { "from": "human", "value": "Round 183400 to the nearest 1000." }, { "from": "gpt", "value": "183000.0" } ]
[ { "from": "human", "value": "What is prob of picking 2 h and 2 s when four letters picked without replacement from hhhhhshhshsshssshsss?" }, { "from": "gpt", "value": "135/323" } ]
[ { "from": "human", "value": "Let b = 41 - 13. Let p = 94 - b. List the prime factors of p." }, { "from": "gpt", "value": "2, 3, 11" } ]
[ { "from": "human", "value": "Let w(z) be the second derivative of -z**6/30 - z**5/10 + z**4/4 + 2*z**3/3 - 2*z**2 - 8*z. Factor w(v)." }, { "from": "gpt", "value": "-(v - 1)**2*(v + 2)**2" } ]
[ { "from": "human", "value": "Find the second derivative of -51*g**4 + 35*g**3 + 38*g + 69." }, { "from": "gpt", "value": "-612*g**2 + 210*g" } ]
[ { "from": "human", "value": "Solve 0 = -14*m + 11*m + b - 5, -2*m - 2*b + 10 = 0 for m." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "0.006 times -53" }, { "from": "gpt", "value": "-0.318" } ]
[ { "from": "human", "value": "Find the second derivative of -160*k**4 - 28*k**2 + 1281*k." }, { "from": "gpt", "value": "-1920*k**2 - 56" } ]