) be the third derivative of 1/12*b**4 + 4/45*b**5 - 1/504*b**8 + 1/30*b**6 + 0*b**7 + 0 + 4*b + 0*b**3 + 2*b**2. Factor h(c).
-2*c*(c - 3)*(c + 1)**3/3
Let r(u) be the third derivative of -6/7*u**3 + 1/420*u**6 + 1/4*u**4 + 0*u - 20*u**2 + 0 - 4/105*u**5. Let r(o) = 0. What is o?
2, 3
Let y(k) be the first derivative of k**6/3 + 12*k**5/5 + 4*k**4 - 4*k**3/3 - 9*k**2 - 8*k + 54. Factor y(v).
2*(v - 1)*(v + 1)**3*(v + 4)
Let r be ((-15)/(-204))/(260/2496). Factor 8/17*w**2 + 2/17*w**3 + 2/17*w - r.
2*(w - 1)*(w + 2)*(w + 3)/17
Let r(g) be the second derivative of g**4/6 - 2*g**3/3 + 2*g**2 - 27*g. Let o be r(2). Find c such that 2*c**o + 3/2*c**5 + 1/2*c**3 + 0*c + 0*c**2 + 0 = 0.
-1, -1/3, 0
Suppose 16*t**3 + 2*t - 3*t - 24 + 182*t**2 + 42*t**4 + 17*t + 168*t**3 = 0. Calculate t.
-3, -1, -2/3, 2/7
Let m(a) = 20*a**2 + 4*a - 5. Let y be 4 - 4 - (0 - 1). Let b be m(y). Let -55/4*i**2 + 21/4*i - b*i**3 - 1/2 + 108*i**4 - 80*i**5 = 0. Calculate i.
-2/5, 1/4, 1
Let s(q) = -q - 20. Let w be s(-13). Let i be (-3)/w - (-4)/(-28)*-32. What is z in -15/4*z**4 - 3/4*z**3 - 3/2*z**i + 0 + 0*z + 3/2*z**2 = 0?
-2, -1, 0, 1/2
Let z(w) = -2*w**2 - 80*w - 787. Let c(d) = d**2 + 40*d + 394. Let t(v) = -13*c(v) - 6*z(v). Factor t(y).
-(y + 20)**2
Let z(f) = -f**2 + 29*f + 30. Let u(c) = c - 12. Let q be u(16). Let k(b) = 5*b**2 - 115*b - 120. Let d(a) = q*k(a) + 15*z(a). Factor d(n).
5*(n - 6)*(n + 1)
Let w(t) be the second derivative of 0 - 22*t - 2*t**2 - 13/6*t**3 - t**4 - 9/80*t**5. Solve w(u) = 0 for u.
-4, -2/3
Let w(o) be the third derivative of 0 - 1/70*o**7 + 1/20*o**5 + 0*o - 1/120*o**6 + 10*o**2 + 0*o**3 + 1/12*o**4 - 1/336*o**8. Find g, given that w(g) = 0.
-2, -1, 0, 1
Let g be 12/48 + (-8734)/(-40). Let f = 219 - g. Factor 0*a**3 + f*a - 1/5*a**4 + 3/5*a**2 + 0.
-a*(a - 2)*(a + 1)**2/5
Let p(u) be the third derivative of -u**6/360 - 7*u**5/180 - 11*u**4/72 - 5*u**3/18 + 80*u**2. What is a in p(a) = 0?
-5, -1
Let z(u) be the first derivative of 4 + 8/7*u - 22/7*u**2 + 52/21*u**3 - 4/7*u**4. Solve z(q) = 0.
1/4, 1, 2
Let d(k) be the third derivative of -27/56*k**4 + 0*k + 14*k**2 + 0*k**3 - 9/280*k**6 + 27/140*k**5 + 0 + 1/490*k**7. Let d(b) = 0. Calculate b.
0, 3
Let z be 2/6*(-1 - -22). Let j be (z - 2) + 616/(-140). Factor 3/5*o**2 + 3/5*o - j - 3/5*o**3.
-3*(o - 1)**2*(o + 1)/5
Let u be ((-24)/108)/(72/(-81)). Suppose 2*p - 3*z = -3*p + 14, p = 4*z - 4. Factor 1/4*k**2 + 0*k + 0*k**3 - u*k**p + 0.
-k**2*(k - 1)*(k + 1)/4
Suppose -5*x = 2*r - 172, 0 = 4*r - 2*r + 2*x - 160. Let i be r*(-5)/(-200) - (-3)/6. Factor 0*k - 12/5*k**3 - 4/5*k**5 + 0 + i*k**4 + 4/5*k**2.
-4*k**2*(k - 1)**3/5
Factor -48/7*v + 0 + 2/7*v**2.
2*v*(v - 24)/7
Let a(j) = -j**3 + 9*j**2 + 3. Let s = 21 + -12. Let u be a(s). Solve u*b**3 - 4*b**2 + 5*b**2 - 4*b**2 = 0.
0, 1
Let w(s) be the first derivative of s**4/28 - 4*s**3/21 - 2*s**2 - 32*s/7 - 92. Suppose w(h) = 0. What is h?
-2, 8
Let i = -29 + 33. Determine x so that 3*x**3 - i*x**3 - 12*x**2 - 2 - 2 - 12*x - 3*x**3 = 0.
-1
Let v = -637 - -639. Let j be ((-1)/18)/(2/(-8)). Factor 2/9*i**v - 4/9 - j*i.
2*(i - 2)*(i + 1)/9
Let q = -22297/7 - -3196. Let i = q - 279/28. Factor 3/4*l**5 - 3/4*l**2 + 0*l + 0 - i*l**3 + 3/4*l**4.
3*l**2*(l - 1)*(l + 1)**2/4
Let u be (-210)/6 - (-1 - 0/(-3)). Let f = 308/9 + u. Factor f*w**4 + 2/9*w + 0 - 2/9*w**2 - 2/9*w**3.
2*w*(w - 1)**2*(w + 1)/9
Let o(m) be the second derivative of -11*m + 0 - 578*m**2 - 1/3*m**4 - 68/3*m**3. Factor o(u).
-4*(u + 17)**2
Let u(j) be the third derivative of 1/540*j**6 + 0 + 0*j + 27*j**2 + 1/108*j**4 + 0*j**3 - 1/135*j**5. Solve u(k) = 0 for k.
0, 1
Let d(o) be the third derivative of -1/108*o**6 + 7/36*o**4 - 2/3*o**3 + 0 + 24*o**2 + 1/945*o**7 + 0*o + 1/270*o**5. Factor d(y).
2*(y - 3)**2*(y - 1)*(y + 2)/9
Factor -1072*a - 26*a**2 + 1062*a + 181*a**2 + 165*a**3.
5*a*(a + 1)*(33*a - 2)
Factor -256*j**2 + 241*j**2 + 2 - 2 + 20*j.
-5*j*(3*j - 4)
Determine s so that 16/3*s - 40/9*s**2 - 68/9*s**3 + 26/9*s**4 + 0 + 2/3*s**5 = 0.
-6, -1, 0, 2/3, 2
Let x(d) be the second derivative of -d**5/270 - d**4/27 - d**3/9 + d**2/2 - 9*d. Let m(c) be the first derivative of x(c). Factor m(k).
-2*(k + 1)*(k + 3)/9
Let l be ((-6)/9)/((-4)/18). Suppose l - 5 = -d. Find z, given that -6*z - 2*z**d + 6*z + 4*z = 0.
0, 2
Determine d, given that -2/7*d**2 - 106/7*d - 104/7 = 0.
-52, -1
Let f = -21 - -19. Let u be ((-3)/f - 1)*(-6 + 6). Determine z so that 0*z + 2/9*z**2 - 2/9*z**4 + u + 0*z**3 = 0.
-1, 0, 1
Solve -165*u**2 - 3/2*u**5 - 162*u - 159/2*u**3 - 18*u**4 - 60 = 0.
-5, -2, -1
Let n(h) be the third derivative of -h**5/270 + 61*h**4/36 - 182*h**3/27 + 152*h**2 - 2. Factor n(b).
-2*(b - 182)*(b - 1)/9
Let x(v) = 9*v**2 - 114*v + 113. Let m(d) = 8*d**2 - 113*d + 111. Let y(a) = 4*m(a) - 3*x(a). Find t, given that y(t) = 0.
1, 21
Let g = 36491 + -36490. Determine z so that -31/4*z**2 + g - 11/4*z**3 - 4*z = 0.
-2, -1, 2/11
Let l be 1/(48/80)*6/5. Factor -2/15*m + 2/15*m**l + 0.
2*m*(m - 1)/15
Let h = -27 + 41. Let t = -12 + h. Solve 2*a**t + 4*a**2 - 2*a - 2*a**2 + 2*a**4 - 6*a**3 + 2*a**2 = 0.
0, 1
Let v(h) be the first derivative of -3*h - 10*h**3 - 3 + h**4 + 0*h**5 - 2*h - 6*h**4 - 10*h**2 - h**5. Factor v(m).
-5*(m + 1)**4
Let b(f) be the first derivative of 12 + 0*f**5 + 1/6*f**4 - 1/360*f**6 + 0*f + 5/3*f**3 + 0*f**2. Let u(l) be the third derivative of b(l). Factor u(j).
-(j - 2)*(j + 2)
Factor 280*b**4 - 285*b**4 + 400*b**2 + 185*b**3 + 595*b + 200 + 185*b**2.
-5*(b - 40)*(b + 1)**3
Suppose -87*y + 27 = -151 + 4. What is j in 0*j**3 + 3/5*j + 6/5*j**y - 3/5*j**5 + 0 - 6/5*j**4 = 0?
-1, 0, 1
Let l be 20*(7 - 1339/195). Factor -8/3*p**3 + 0 + l*p - 4/3*p**2 + 4/3*p**4.
4*p*(p - 2)*(p - 1)*(p + 1)/3
Let w = -1/1103 - -1111/8824. Solve 0 + 1/4*x - w*x**2 = 0.
0, 2
Let z(t) be the second derivative of -1/16*t**4 + 3/10*t**5 + 0*t**2 - 1/8*t**6 - 24*t - 1/4*t**3 + 0. Find j, given that z(j) = 0.
-2/5, 0, 1
Let x = -40 + 345/7. Let q = x - 62/7. Let -6/7*f + 0 + q*f**2 = 0. Calculate f.
0, 2
Let h(v) be the second derivative of v**4/12 + 2*v**3 + 11*v**2/2 + 4*v + 14. Factor h(g).
(g + 1)*(g + 11)
Let n(g) be the second derivative of -4/55*g**5 - 1/165*g**6 - 18*g + 0 - 8/11*g**3 - 9/11*g**2 - 1/3*g**4. Factor n(q).
-2*(q + 1)**2*(q + 3)**2/11
Let z be 9 + -8 + (-3)/((-405)/(-99)). Let -2/3*x**3 - 6/5*x + 8/5*x**2 + z = 0. Calculate x.
2/5, 1
Suppose -3*v = 2*d + v - 20, -28 = -3*d - 5*v. Suppose -5*q + 3 = -4*u, -3*q + d = -3*u + 2*q. Factor 92*a**u - 4*a**4 - 104*a**3 + 0*a**2 - 8*a**2.
-4*a**2*(a + 1)*(a + 2)
Let i(j) be the second derivative of 1/3*j**3 - 7/6*j**4 + 0*j**2 + 4/21*j**7 + 0 - 13/15*j**6 + 12*j + 3/2*j**5. Factor i(k).
2*k*(k - 1)**3*(4*k - 1)
Determine b, given that -3/5*b**4 + 0 + 21/5*b**3 + 54/5*b**2 + 0*b = 0.
-2, 0, 9
Factor 10*f**2 - 78*f**3 + 30*f + 15*f**2 - 5*f**4 - 68*f**2.
-f*(f + 1)*(f + 15)*(5*f - 2)
Suppose -3*r + 24 = 2*r - n, 16 = -r - 5*n. Suppose 0 = 3*y - y - r. Factor 4*g**4 - 4*g**4 + 6*g**3 + 0*g**3 + 2*g - 6*g**y - 2*g**4.
-2*g*(g - 1)**3
Let q(h) = h**5 - h**3 + h**2 - h + 1. Let g(m) = 9*m**4 - 9*m**3 - 3*m**2 + 3*m - 3. Let c(d) = g(d) + 3*q(d). What is o in c(o) = 0?
-4, 0, 1
What is d in 0 + 2/11*d**3 + 42/11*d - 4*d**2 = 0?
0, 1, 21
Let i(s) be the third derivative of -s**5/140 - 3*s**4/7 - 72*s**3/7 + 74*s**2. Factor i(w).
-3*(w + 12)**2/7
Let f(h) be the first derivative of 1/6*h**4 - h**2 + 6 + 0*h**3 - 6*h. Let p(q) be the first derivative of f(q). Factor p(r).
2*(r - 1)*(r + 1)
Let i(w) be the third derivative of -w**8/168 + 11*w**7/210 + 13*w**6/120 - 57*w**5/20 + 99*w**4/8 - 18*w**3 + 4*w**2 + 20*w. Factor i(n).
-(n - 3)**3*(n + 4)*(2*n - 1)
Let i(n) = -2*n**2 + 9*n + 9. Let d be i(5). Determine a so that 13*a**3 + 0*a**3 + 2*a**5 - 4*a**d - 11*a**3 = 0.
0, 1
Let f = 1 - -4. Suppose -2*y - l = -2*l - 4, f*l = 4*y - 20. Factor -3/2*d**2 + 0 - 3/4*d + 3/2*d**4 + y*d**3 + 3/4*d**5.
3*d*(d - 1)*(d + 1)**3/4
Find g, given that 8*g**3 - 4 - 13*g + 1 + 5*g**2 - 7*g**2 + 0 = 0.
-1, -1/4, 3/2
Let v(p) be the first derivative of 2*p**5/5 + p**4 - 8*p**3/3 - 2*p**2 + 6*p + 167. Solve v(d) = 0.
-3, -1, 1
Let x(u) be the second derivative of -2 - 25*u**2 + 10/3*u**3 - 1/6*u**4 - 7*u. Find o such that x(o) = 0.
5
Let f(z) be the s