 -86212. What is i in -1/3*i**4 + z + 4*i**3 - 15*i**2 + 50/3*i = 0?
0, 2, 5
Let d(m) be the third derivative of m**8/784 + m**7/10 + 333*m**6/140 + 769*m**5/70 - 667*m**4/56 - 1587*m**3/14 - m**2 + 146*m. Suppose d(y) = 0. Calculate y.
-23, -3, -1, 1
Let t(v) = 1276*v + 14036. Let i be t(-11). Let -15/2*a**3 - 12*a**2 + 72*a + i + 3/2*a**4 = 0. What is a?
-3, 0, 4
Let b = -469591 - -469593. Factor -2/13*x - 2/13*x**b + 2/13*x**3 + 2/13.
2*(x - 1)**2*(x + 1)/13
Let q(w) be the second derivative of 1/4*w**5 + 0 + 0*w**3 + 0*w**2 - 29*w + 1/2*w**4 - 1/30*w**6. Factor q(x).
-x**2*(x - 6)*(x + 1)
Let v = 55429/6 - 9238. Let u(h) be the second derivative of 2/15*h**6 - 2/3*h**3 + 0 + v*h**4 + 1/2*h**5 + 27*h + 0*h**2. Factor u(n).
2*n*(n + 1)*(n + 2)*(2*n - 1)
Let k(r) be the first derivative of r**6/180 + 3*r**5/40 + r**4/9 - 209*r - 240. Let w(y) be the first derivative of k(y). What is s in w(s) = 0?
-8, -1, 0
Let w = 2085/4 + -6215/12. Factor 0 - 5/3*i**5 + w*i**4 - 5/3*i**3 + 0*i + 0*i**2.
-5*i**3*(i - 1)**2/3
Suppose 3*p = -17 + 29. Let h(j) = -8*j**3 + 8*j**2 + 7*j - 17. Let u(w) = 7*w**3 - 7*w**2 - 8*w + 16. Let a(g) = p*h(g) + 5*u(g). Factor a(i).
3*(i - 2)*(i - 1)*(i + 2)
Let q(s) = s**4 - 54*s**3 - 381*s**2 - 784*s - 534. Let a(z) = -2*z**4 + 110*z**3 + 763*z**2 + 1568*z + 1066. Let w(b) = -3*a(b) - 5*q(b). Factor w(t).
(t - 66)*(t + 2)**3
Let p(x) be the first derivative of 63*x**5/5 + 122*x**4/3 - 8*x**3 - 16*x**2 + 4*x - 17. Let o(t) be the first derivative of p(t). Let o(g) = 0. Calculate g.
-2, -2/9, 2/7
Let g be 7/((-21)/(-24)) + (-10 - -2). Let z(w) be the second derivative of -40*w**2 - 20/3*w**3 - 5/12*w**4 + g + 14*w. Factor z(k).
-5*(k + 4)**2
Let u(p) be the first derivative of p**5/4 - 5*p**4 + 75*p**3/2 - 125*p**2 - 39*p - 38. Let g(l) be the first derivative of u(l). Factor g(f).
5*(f - 5)**2*(f - 2)
Let s(a) be the first derivative of 15/8*a**2 + 1/8*a**3 + 56 - 33/8*a. Factor s(l).
3*(l - 1)*(l + 11)/8
Let g = 798 + -796. Let f be (4/(2 - 0))/1. Find y, given that 10*y**f + 3*y + 15*y**3 + 31*y**4 - 2 + 6*y**g - 27*y**4 = 0.
-2, -1, 1/4
Suppose -3*p + 4*p + 2*g - 55 = 0, 3*g + 60 = p. Determine h so that -10*h**3 - p*h + 198 + 227*h + 145*h - 129*h**2 - 18 + 34*h**2 = 0.
-12, -1/2, 3
Let t(y) be the second derivative of 5*y**4/24 + 35*y**3/12 + 15*y**2/2 - 9*y. Factor t(i).
5*(i + 1)*(i + 6)/2
Suppose -39*a + 7*a = 18*a. Suppose a = -14*c + 65*c - 102. Suppose -24/5*p**3 - 4/5*p**4 - 48/5*p - 52/5*p**c - 16/5 = 0. Calculate p.
-2, -1
Let k(o) be the second derivative of 2*o**7/21 + 166*o**6/15 + 470*o**5 + 8046*o**4 + 27702*o**3 + 39366*o**2 - 3386*o - 2. Factor k(r).
4*(r + 1)**2*(r + 27)**3
Let u = -131967 - -923829/7. What is a in -u - 6/7*a**2 - 66/7*a = 0?
-10, -1
Let x(u) be the second derivative of 0 - 11/6*u**2 - 2/3*u**3 - 23*u - 1/36*u**4. Factor x(w).
-(w + 1)*(w + 11)/3
Let b(i) be the third derivative of -23*i**5/30 + 467*i**4/4 + 122*i**3/3 + 6*i**2 + 152*i. Factor b(j).
-2*(j - 61)*(23*j + 2)
Suppose -20 = -6*k + 4*k. Let b = 16 - k. Let t(s) = -s**2 + s - 1. Let w(g) = -8*g**3 - 2*g**2 + 26*g + 2. Let n(i) = b*t(i) - w(i). Solve n(q) = 0.
-1, -1/2, 2
Let d(u) be the third derivative of -u**6/480 - 17*u**5/5 - 2312*u**4 - 2515456*u**3/3 - 112*u**2 - 32. Suppose d(a) = 0. Calculate a.
-272
Let 21102/5*k**2 + 9156/5*k + 19359/5*k**3 + 30*k**5 + 1368/5 + 1239*k**4 = 0. Calculate k.
-38, -3/2, -1, -2/5
Let a(k) be the second derivative of -k**6/15 + 2*k**5/5 - k**4/3 - 4*k**3/3 + 3*k**2 - 25*k + 6. Factor a(j).
-2*(j - 3)*(j - 1)**2*(j + 1)
Suppose -127 + 103 = -12*i. Let t(k) be the second derivative of 0 + 1/120*k**5 + 1/72*k**4 + 0*k**3 + 0*k**i - 2*k. Factor t(r).
r**2*(r + 1)/6
Find o, given that -57*o**3 - 130*o**4 + o - 11/2*o**2 + 0 - 92*o**5 = 0.
-1/2, 0, 2/23
Let g(o) = -12*o**4 + 7*o**3 - 26*o**2 + 24*o - 8. Let d(p) = 5*p**4 - 4*p**3 + 13*p**2 - 12*p + 4. Let r(f) = -5*d(f) - 2*g(f). What is x in r(x) = 0?
1, 2
Let x be 30/(-27)*((-36)/(-10))/(-3). Let j = 1405 + -1405. Factor -x*q + j + 2/3*q**2.
2*q*(q - 2)/3
Let -1525/2*o - 7/4*o**2 + 218 = 0. What is o?
-436, 2/7
Let g = -6613/45 + 1346/9. Let z(y) be the second derivative of -3*y**4 + g*y**5 + 0 - 2/3*y**6 - 21*y + 4*y**2 - 2/3*y**3. Solve z(u) = 0.
-2/5, 1
Let f = -1806 + 1809. Let i(k) be the first derivative of -2 - 36*k - 1/3*k**f + 6*k**2. Factor i(y).
-(y - 6)**2
Let v be 2 - (240/(-64) - (-1)/(-4)). Factor 21*u**4 - u**5 - 81*u**3 + 87*u**2 + 4*u**5 - v*u - 27*u + 3*u.
3*u*(u - 1)**3*(u + 10)
Let w(z) be the third derivative of 26/7*z**7 - z + 13/3*z**5 + 15/28*z**8 + 193/24*z**6 - 7*z**2 + 0 + 5/6*z**4 + 0*z**3. Factor w(d).
5*d*(d + 2)**2*(6*d + 1)**2
Let x = -420 + 780. Let n = x + -2516/7. Suppose 0 + 0*f + n*f**2 + 2/7*f**4 - 6/7*f**3 = 0. Calculate f.
0, 1, 2
Find j such that 37*j**2 + 16 + 48*j - 31*j - 11*j**2 - 13*j**2 - 12*j**2 = 0.
-16, -1
Let g be 36/468 + 16/(-208). Solve -8/21*h + g*h**2 + 0 - 2/21*h**4 + 2/7*h**3 = 0.
-1, 0, 2
Let b(h) be the second derivative of -5*h**7/42 + 11*h**6/6 - 27*h**5/4 + 125*h**4/12 - 20*h**3/3 - 687*h - 2. Find p, given that b(p) = 0.
0, 1, 8
Let y(d) be the second derivative of -3*d**5/20 + 21*d**4/4 + 105*d**3/2 - 375*d**2/2 + 3*d - 139. Factor y(h).
-3*(h - 25)*(h - 1)*(h + 5)
Let a = 1059/5195 + -4/1039. Suppose -7/5*y + a*y**2 - 18/5 = 0. Calculate y.
-2, 9
Factor 27819 - 36*x - 27179 - 132*x + 2*x**2.
2*(x - 80)*(x - 4)
Let x(q) be the second derivative of q**4/12 - q**3/3 - 31*q**2/2 - 96*q. Let w be x(-5). Factor -2/13*k**5 + 4/13*k**3 + 2/13*k**w + 0*k**2 + 0 + 0*k.
-2*k**3*(k - 2)*(k + 1)/13
Suppose -23*r = 5*d - 22*r - 279, d - 55 = -r. Find a such that -d*a**2 + 20*a**2 + 27*a + 57*a + 38*a**2 = 0.
-42, 0
Let j = -4396/3 + 1466. Let n(h) be the first derivative of -40/9*h**3 + 4/9*h**6 + 0*h - 14 - 4/3*h**2 + j*h**5 - 5/2*h**4. Suppose n(a) = 0. Calculate a.
-2, -1, -1/4, 0, 2
Find b such that -150/7*b**3 + 15/7*b**4 + 552/7*b - 480/7 + 3/7*b**5 + 60/7*b**2 = 0.
-10, -2, 1, 2, 4
Let g(v) be the second derivative of -v**8/84 + 2*v**7/35 - v**6/15 - 79*v**2/2 + 86*v. Let n(f) be the first derivative of g(f). Factor n(i).
-4*i**3*(i - 2)*(i - 1)
Factor 889778/13 + 2/13*f**2 + 2668/13*f.
2*(f + 667)**2/13
Let a(q) be the second derivative of -q**7/840 + q**6/160 - q**5/120 + 283*q**2/2 + 86*q - 1. Let m(h) be the first derivative of a(h). Factor m(l).
-l**2*(l - 2)*(l - 1)/4
Let k(n) = 9*n**2 + 1953*n + 5623. Let v(i) = 40*i**2 + 8782*i + 25304. Let m(q) = -22*k(q) + 5*v(q). Factor m(w).
2*(w + 3)*(w + 469)
Suppose 0 = -2*v - 10, i + 3*v + 19 = 3*i. Let l be 3 - (-2 - -3) - i. Factor 20*r**2 + 2*r + 0 - 21*r**2 + l.
-r*(r - 2)
Let g(s) be the first derivative of -s**3 - 5223*s**2 - 9093243*s + 5125. Let g(c) = 0. Calculate c.
-1741
Let p(x) = -80*x**2 - 94*x - 10. Let b be p(-1). Determine j, given that 6/5*j**3 + 12/5*j + 1/5*j**b + 4/5 + 13/5*j**2 = 0.
-2, -1
Factor v**3 + 2591 + 2591 + 3*v**3 - 5182 + 120*v - 52*v**2.
4*v*(v - 10)*(v - 3)
Let o be ((-6)/4)/(900/(-4200)). Let a(s) be the third derivative of 6*s**2 + 0*s**4 - 1/60*s**5 - 1/60*s**6 - 1/210*s**o + 0 + 0*s + 0*s**3. Factor a(j).
-j**2*(j + 1)**2
Let g(h) be the third derivative of -h**5/20 - 87*h**4/2 - 347*h**3/2 - 630*h**2. Suppose g(x) = 0. Calculate x.
-347, -1
Let m = -476 + 580. Let y be m/340 - 4/(-10). Determine q so that -y*q**2 - 8/17*q - 8/17*q**3 - 2/17 - 2/17*q**4 = 0.
-1
Let t(h) be the first derivative of 2*h**6/3 - 24*h**5 + 253*h**4 - 560*h**3 + 392*h**2 + 96. Solve t(n) = 0.
0, 1, 14
Let y(p) be the first derivative of 2 - 1014/7*p - 2691/14*p**2 - 132/7*p**3 - 15/28*p**4. Find u, given that y(u) = 0.
-13, -2/5
Let 282 + 2/5*c**2 + 292/5*c = 0. Calculate c.
-141, -5
Let r(h) be the second derivative of -9*h**5/4 - 70*h**4/3 + 805*h**3/2 + 275*h**2 + h - 730. Suppose r(m) = 0. Calculate m.
-11, -2/9, 5
Let y be (-3*2)/(245 + -248). Let w(t) be the first derivative of 5/3*t**3 - 5/2*t**y + 10 - 10*t. Factor w(m).
5*(m - 2)*(m + 1)
Let p(y) be the first derivative of 0*y**5 + 2/7*y**2 + 0*y - 26 + 0*y**3 + 2/21*y**6 - 2/7*y**4. Let p(t) = 0. Calculate t.
-1, 0, 1
Let r = 1176458/5 + -235291. Suppose 0*p**2 - r*p**3 + 4/5*p - 1/5*p**4 + 0 = 0. Calculate p.
-2, 0, 1
Let n = -20 - 19. Let m = n - -41. W