**5.
-2*z**2*(z + 1)**3/5
Let j(f) be the third derivative of 0*f + 0*f**4 + 2*f**3 - 7*f**2 - 7/20*f**5 + 3/70*f**7 + 1/40*f**6 - 1/112*f**8 + 0. Solve j(w) = 0 for w.
-1, 1, 2
Factor -5/6*s + 1/6*s**3 + 0 + 2/3*s**2.
s*(s - 1)*(s + 5)/6
Let y(p) be the third derivative of -p**8/40320 + p**7/3360 - p**6/720 + p**5/30 - p**2. Let o(i) be the third derivative of y(i). Find d such that o(d) = 0.
1, 2
Let a be (8/6 - 1) + (-5)/(-15). Find z, given that a*z + 2/3*z**4 + 2*z**2 + 0 + 2*z**3 = 0.
-1, 0
Let o = -2 - -7. Suppose -2*m**2 + m + 0*m**4 + m**4 + 6*m**5 + 2 - 2*m**3 - 5*m**o - 1 = 0. Calculate m.
-1, 1
Let y = -38 - -38. Let f(v) be the second derivative of 0*v**2 + y*v**3 - 1/12*v**4 + 0 + v. Factor f(o).
-o**2
Let o = 886 - 883. What is j in 1/2*j**o + 1/2*j + j**2 + 0 = 0?
-1, 0
Let g = 2 - -4. Factor 4*i - 3*i + g*i**2 + 3*i**3 + i**4 - 4*i**2 + i**2.
i*(i + 1)**3
Let l = 10 + -9. Suppose l = -3*q - 2*f + 15, 10 = q + 2*f. Determine i, given that -1/3*i**4 - i**q + 0 + 1/3*i + i**3 = 0.
0, 1
Let n(d) be the first derivative of -d**4/7 - d**3/21 + 2*d**2/7 + d/7 - 10. Solve n(v) = 0 for v.
-1, -1/4, 1
Suppose m + 5*n + 0 = 18, 3*m - n = 6. Suppose 2 + 4 = m*t. Factor -t + 2 + s**3 - s.
s*(s - 1)*(s + 1)
Let x be (2 - (-14)/(-9))/(16/72). Solve 1/2*a**x + 0*a + 0 = 0.
0
Solve -4*h**2 + h**3 + h - 2*h**5 + 1/2 + 7/2*h**4 = 0.
-1, -1/4, 1
Let b = -157222/15 - -52541/5. Let w = -79/3 + b. Factor 4/5 - w*h**2 - 2/5*h.
-2*(h - 1)*(h + 2)/5
Let w(b) be the first derivative of -4*b**7/7 - 2*b**6/5 + 9*b**5/8 + b**4 + b**3/4 - b - 2. Let g(o) be the first derivative of w(o). Solve g(c) = 0.
-1, -1/4, 0, 1
Suppose 6*b - 60 = 3*b. Let m = b - 14. Let -m*p - 28/3*p**3 - 4*p**4 - 32/3*p**2 - 4/3 - 2/3*p**5 = 0. What is p?
-2, -1
Let t(v) be the first derivative of -v**4/26 + 4*v**3/39 + 1. Factor t(o).
-2*o**2*(o - 2)/13
Let u = 6044/2061 + -10/229. Factor 2/9*q**5 - 4/3*q**4 - 8/3*q**2 + u*q**3 + 8/9*q + 0.
2*q*(q - 2)**2*(q - 1)**2/9
Let x(g) be the first derivative of -3/4*g**4 - 2 + 2/3*g + 8/3*g**3 - 13/6*g**2. Let x(z) = 0. What is z?
1/3, 2
Let i(q) be the third derivative of -1/120*q**5 + 0*q**3 + 0 - 2*q**2 - 1/96*q**4 - 1/480*q**6 + 0*q. Factor i(h).
-h*(h + 1)**2/4
Let p(v) be the second derivative of v**7/735 - v**5/70 - v**4/42 + 3*v**2/2 - v. Let o(t) be the first derivative of p(t). Let o(a) = 0. What is a?
-1, 0, 2
Let r(m) = 6*m**2 + 9*m + 3. Let u(o) = -17*o**2 - 27*o - 10. Let v(c) = -8*r(c) - 3*u(c). What is a in v(a) = 0?
-2, -1
Let i be (6/(-21) - (-4)/(-84))*0. Let o(t) be the first derivative of -2 + i*t**2 + 0*t**3 + 1/10*t**5 + 0*t**4 + 0*t. Find l such that o(l) = 0.
0
Let q(n) = -n**3 + 2*n**2 + 2*n + 3. Let x(h) = h**2 + 1. Let z(j) = q(j) - 3*x(j). What is v in z(v) = 0?
-2, 0, 1
Let j(v) be the third derivative of 0*v**5 + 0*v**3 + 1/336*v**8 + 0*v**4 + 2*v**2 + 0*v - 1/105*v**7 + 0 + 1/120*v**6. Factor j(b).
b**3*(b - 1)**2
Let k(g) be the second derivative of -g**7/126 - g**6/30 - g**5/30 + g**4/18 + g**3/6 + g**2/6 + 6*g. Factor k(l).
-(l - 1)*(l + 1)**4/3
Factor 3/2*f + 3/4 + 3/4*f**2.
3*(f + 1)**2/4
Let g(v) be the first derivative of v**6/3 + 12*v**5/5 + 7*v**4 + 32*v**3/3 + 9*v**2 + 4*v + 8. Factor g(u).
2*(u + 1)**4*(u + 2)
Let s(z) be the second derivative of 0 + 4*z + 0*z**3 + 0*z**4 + 1/90*z**6 + 0*z**2 + 0*z**5. Factor s(j).
j**4/3
Suppose 0*n + 2*n = 0. Suppose -t + n*t = 0. Factor t*m**3 - 2/9 + 4/9*m**2 - 2/9*m**4 + 0*m.
-2*(m - 1)**2*(m + 1)**2/9
Determine h, given that 2/7*h**3 + 16/7*h**2 + 36/7 + 6*h = 0.
-3, -2
Let o(q) be the second derivative of 3*q**4/16 + 11*q**3/24 + q**2/4 - 6*q. What is w in o(w) = 0?
-1, -2/9
Let c(k) = -8*k**5 - 4*k**3 + 6*k**2 + 6*k. Let q = -18 - -12. Let v(n) = -7*n**5 - 3*n**3 + 5*n**2 + 5*n. Let u(b) = q*v(b) + 5*c(b). Factor u(r).
2*r**3*(r - 1)*(r + 1)
Let c(z) be the first derivative of 3*z**4/20 - 8*z**3/15 - z**2/2 + 6*z/5 + 3. Determine q so that c(q) = 0.
-1, 2/3, 3
Solve -112*z - 8 + 114*z - z**2 + 2*z**2 = 0.
-4, 2
Let k be ((-90)/225)/(2/23) + 5. Solve k*f + 0 - 2/5*f**2 = 0.
0, 1
Let m be 8/(-12) + 32/3. Let z = m - 5. Factor -22*k**3 - 12*k**5 - 4*k**2 - 14*k**4 - 2*k**z - 18*k**4.
-2*k**2*(k + 1)**2*(7*k + 2)
Let t(s) be the first derivative of 0*s**2 - 1/5*s**4 - 1/15*s**3 + 2 + 0*s. Factor t(k).
-k**2*(4*k + 1)/5
Let k be (-64)/(-56)*(-14)/(-6). What is j in -8/3*j**3 - 4*j**2 - 2/3*j**4 - k*j - 2/3 = 0?
-1
Factor 2/11*v + 0 + 2/11*v**3 + 4/11*v**2.
2*v*(v + 1)**2/11
Let w(p) = -8*p**4 + 10*p**3 + 28*p**2 + 10*p - 2. Let y(t) = -9*t**4 + 11*t**3 + 29*t**2 + 9*t - 3. Let z(g) = 3*w(g) - 2*y(g). Suppose z(o) = 0. Calculate o.
-1, -2/3, 0, 3
Suppose 1/5 - 1/5*b**2 - 1/5*b**3 + 1/5*b = 0. Calculate b.
-1, 1
Let u(r) be the first derivative of r**6/2 + 3*r**5/5 - 3*r**4/2 - 2*r**3 + 3*r**2/2 + 3*r - 7. Factor u(x).
3*(x - 1)**2*(x + 1)**3
Let n(d) be the second derivative of d**7/231 - 4*d**6/165 + 2*d**5/55 - 39*d. Let n(f) = 0. Calculate f.
0, 2
Let u(z) be the first derivative of -17/4*z**4 - 9*z**5 + 0*z + 8*z**3 - 2*z**2 - 5. Factor u(r).
-r*(r + 1)*(5*r - 2)*(9*r - 2)
Suppose -d = 5*y, -16*y + 11*y + 5*d = 0. What is x in y*x + 0 - 2/9*x**5 + 0*x**2 + 0*x**3 - 2/9*x**4 = 0?
-1, 0
Let i be (-143)/(-44) - (-1)/(-4). Let n(k) be the third derivative of 0*k - 5/24*k**6 - k**2 - 1/6*k**4 + 0*k**i + 1/3*k**5 + 0. Factor n(c).
-c*(5*c - 2)**2
Let o(q) = -3*q. Let t be o(3). Let v be (-5)/(-12) + t/(-36). Factor -v*y**2 + 2/3*y**4 + 0*y + 0*y**3 + 0.
2*y**2*(y - 1)*(y + 1)/3
Let i(h) = 5*h**5 - 36*h**4 + 61*h**3 - 50*h**2 + 25*h + 6. Let q(m) = -m**5 + 7*m**4 - 12*m**3 + 10*m**2 - 5*m - 1. Let j(n) = 4*i(n) + 22*q(n). Factor j(f).
-2*(f - 1)**5
Let v(m) be the first derivative of 1/4*m**2 + 0*m - 5/16*m**4 + 4 + 1/4*m**3. Factor v(s).
-s*(s - 1)*(5*s + 2)/4
Let j(l) be the second derivative of l**9/15120 - l**8/6720 - 7*l**4/12 - 3*l. Let g(b) be the third derivative of j(b). Factor g(k).
k**3*(k - 1)
Let d(b) be the first derivative of b**4/14 + 8*b**3/21 + 4*b**2/7 - 36. Determine t so that d(t) = 0.
-2, 0
Let q(i) = -i**3 + 5*i**2 - 2*i + 10. Let f be q(5). Let a(p) be the second derivative of 1/18*p**4 + 0*p**2 + 2*p + f + 1/9*p**3. Factor a(j).
2*j*(j + 1)/3
Let v(o) be the first derivative of -2*o**6 - 16*o**5/5 + 8*o**4 + 24*o**3 + 22*o**2 + 8*o + 12. Find d, given that v(d) = 0.
-1, -1/3, 2
Let h be 1*-7*(3 - 1). Let o be 12/8*(-8)/h. Suppose o*y**3 - 8/7*y + 0*y**2 + 0 + 2/7*y**4 = 0. Calculate y.
-2, 0, 1
Let w(g) be the third derivative of 2*g**8/189 - 8*g**7/135 + 73*g**6/540 - 43*g**5/270 + 11*g**4/108 - g**3/27 + 6*g**2. Solve w(j) = 0.
1/4, 1
Let o(l) = -3*l**2 - l + 4. Let x(z) = 4*z**2 + 2*z - 5. Let j(i) = -3*o(i) - 2*x(i). Factor j(h).
(h - 2)*(h + 1)
Let h be 3/(-7) - 85/(-35). Let -k**2 - 4*k**3 - h*k**3 + 7*k**3 = 0. What is k?
0, 1
Let n be ((-5)/15)/(2/(-30)). Factor -2*w**2 - 5*w - w + n*w - w.
-2*w*(w + 1)
Let j(p) be the first derivative of -3*p**5/50 + p**4/15 + p**3/15 + 2*p - 3. Let c(g) be the first derivative of j(g). Factor c(a).
-2*a*(a - 1)*(3*a + 1)/5
Let q be ((-12)/240)/((-1)/453). Let y = q + -89/4. Factor -y*h**3 - 24/5*h + 16/5 + 12/5*h**2.
-2*(h - 2)**3/5
Let f(k) be the third derivative of -k**5/40 - k**4/16 + k**3/2 + k**2. Let f(n) = 0. What is n?
-2, 1
Let b(f) be the first derivative of 1/3*f**2 + 1/9*f**4 - 1/3*f**3 - 1 - 3*f. Let k(g) be the first derivative of b(g). Determine h, given that k(h) = 0.
1/2, 1
Factor -3*i**2 + 27/2 + 9/4*i - 3/4*i**3.
-3*(i - 2)*(i + 3)**2/4
Factor -1/3*a**5 + 2/3*a**2 - 1/3 + 2/3*a**3 - 1/3*a - 1/3*a**4.
-(a - 1)**2*(a + 1)**3/3
Let 0 + 10/19*g**2 + 4/19*g = 0. Calculate g.
-2/5, 0
Let n(j) be the third derivative of 3*j**7/245 - j**6/140 - j**5/42 - j**4/84 + 6*j**2. What is a in n(a) = 0?
-1/3, 0, 1
Solve -4*y**2 - y**2 + 10*y + 0*y**2 = 0.
0, 2
Let 0*b**2 + 0*b + 0 + 1/3*b**3 = 0. What is b?
0
Let g be (0/1)/(2/1). Suppose 0*r - 17 = -4*a + 5*r, g = -2*a + 3*r + 9. Factor a*i**3 - 3*i**2 + 4*i**2 + 3*i**2 - i**2.
3*i**2*(i + 1)
Let a be (6/(-14))/(15/(-10)). Let r(c) be the first derivative of 1/7*c**4 + 1 + 0*c - 10/21*c**3 - a*c**2 + 2/7*c**5. Determine m, given that r(m) = 0.
-1, -2/5, 0, 1
Factor -9/2*v - 3/4 + 21/4*v**2.
3*(v - 1)*(7*v + 1)/4
Let j(k) be the first deri