/11 + p**2/11 - 5*p. Let a(v) = 0. Calculate v.
-1
Factor -8*t - 2 + 32*t**2 + 2 - 4*t**4 - 20*t**2.
-4*t*(t - 1)**2*(t + 2)
Let o(z) be the third derivative of 1/20*z**5 + z**2 + 0*z + 1/12*z**4 - 1/6*z**3 + 1/90*z**6 + 0. Let k(x) be the first derivative of o(x). Factor k(q).
2*(q + 1)*(2*q + 1)
Let x(f) be the first derivative of -f**5 + 5*f**3/3 - 10. Determine h, given that x(h) = 0.
-1, 0, 1
Let z be (-2)/17 - 20/(-170). What is o in 2/5*o**2 - 1/5 - 1/5*o**4 + z*o**3 + 0*o = 0?
-1, 1
Let a(t) be the third derivative of t**5/135 - 7*t**4/54 + 20*t**3/27 - 22*t**2. Factor a(f).
4*(f - 5)*(f - 2)/9
Let g(v) be the second derivative of -v**7/210 + v**6/75 - v**4/30 + v**3/30 - 7*v. Let g(p) = 0. Calculate p.
-1, 0, 1
Let d(v) = 4*v**2 + 5. Let b(c) = -15*c**2 - c - 19. Let m(z) = 6*b(z) + 22*d(z). Find w such that m(w) = 0.
-2, -1
What is c in 2*c**5 + 0*c**4 + 48*c - 4*c**2 + 4*c**4 - 50*c + 0*c**2 = 0?
-1, 0, 1
Factor -10*f**3 + 14*f**4 - 8*f**4 - 11*f**4.
-5*f**3*(f + 2)
Find d, given that -8/9*d + 2/9*d**2 + 8/9 = 0.
2
Let v be (14/10 - 1)*(-15)/(-99). Let k(w) be the third derivative of 1/132*w**4 + w**2 + 1/165*w**5 - v*w**3 + 0 - 1/660*w**6 + 0*w. Factor k(a).
-2*(a - 2)*(a - 1)*(a + 1)/11
Let f(c) be the third derivative of 1/90*c**5 + 0*c + 1/36*c**4 + 0 - c**2 + 0*c**3 - 1/180*c**6 - 1/315*c**7. Find m, given that f(m) = 0.
-1, 0, 1
Determine v, given that 32/7*v - 4/7*v**2 - 64/7 = 0.
4
Find p, given that 69*p**3 + 71*p**4 + 2 - 44*p**4 - 11*p**2 + 19*p + 70*p**2 = 0.
-1, -1/3, -2/9
Let b(c) = 0*c**2 - 8*c + 5*c**2 + 0*c**2 + 5*c**2. Let y(h) = -h**3 - h**2. Let m(f) = b(f) + 2*y(f). Factor m(o).
-2*o*(o - 2)**2
Factor 9*i**2 - 44*i + 24*i - 4*i**2.
5*i*(i - 4)
Let a = 102 + -914/9. Factor -a - 2/9*s**2 - 2/3*s.
-2*(s + 1)*(s + 2)/9
Factor 3/2*r**3 - 1 + 3*r - 1/4*r**4 - 13/4*r**2.
-(r - 2)**2*(r - 1)**2/4
Let t be (-9)/(-27) + (-29)/(-3). Let n(o) = -o**3 + 10*o**2 - o + 12. Let r be n(t). Determine i, given that -5/3*i**4 + 4*i**3 + 2/3*i + 0 - 3*i**r = 0.
0, 2/5, 1
Let c(q) = -7*q**2 - 2. Let v(y) = -3*y**2 - 1. Let w = 12 - 16. Let s(k) = w*c(k) + 9*v(k). Find h such that s(h) = 0.
-1, 1
Solve -4/3*u + 1/3 + 4/3*u**3 - 1/3*u**2 = 0 for u.
-1, 1/4, 1
Let t be ((-1)/(-7))/(-1)*(-602)/172. Factor t - o + 1/2*o**2.
(o - 1)**2/2
Let t(s) be the first derivative of -3*s**5/5 + 9*s**4/4 - 6*s**2 - 2. Factor t(c).
-3*c*(c - 2)**2*(c + 1)
Suppose 0 = -3*r + 3*i + 15, -10 = -2*r + 3*i + 1. Factor -4*c - 8*c**2 + 6*c**2 + 9*c**r + 8*c**3 - 3*c**4.
2*c*(c + 1)**2*(3*c - 2)
Let g(x) be the third derivative of x**8/3360 + x**3/2 - 2*x**2. Let i(f) be the first derivative of g(f). Factor i(k).
k**4/2
Let d = 3/37 + -203/2960. Let o(q) be the third derivative of -q**2 + 1/672*q**8 - 1/140*q**7 + d*q**6 - 1/120*q**5 + 0 + 0*q**4 + 0*q**3 + 0*q. Factor o(m).
m**2*(m - 1)**3/2
Let r be -4 - (-16)/(-7)*-2. Let 0 - 2/7*s - 2/7*s**3 - r*s**2 = 0. What is s?
-1, 0
Let k(x) = -2*x**2 - 10*x - 2. Let a(c) = -3*c + c + 0*c + 3*c. Let q(l) = -6*a(l) - k(l). Factor q(o).
2*(o + 1)**2
Let d(v) be the first derivative of -3*v**4 + 44*v**3/3 - 16*v**2 - 16*v + 46. Factor d(z).
-4*(z - 2)**2*(3*z + 1)
Let k(i) be the third derivative of -i**5/120 - 5*i**4/48 + 27*i**2. Find t such that k(t) = 0.
-5, 0
Let w(i) be the second derivative of -i**5/30 + i**3/9 - 8*i. Factor w(v).
-2*v*(v - 1)*(v + 1)/3
Let v be 2*1 + 52/(-8). Let j = 5 + v. Solve -1/2 + 3/2*u**2 + 1/2*u - u**4 - j*u**3 = 0 for u.
-1, 1/2, 1
Let o(f) be the first derivative of -f**4/6 - 10*f**3/9 + 13*f**2/3 - 14*f/3 - 2. Factor o(j).
-2*(j - 1)**2*(j + 7)/3
Let v = 20/19 - 62/95. Let j = -97 + 487/5. Solve -j*t**3 + 0 + v*t**2 + 0*t = 0 for t.
0, 1
Let u(v) be the second derivative of 3*v + 1/2*v**2 - 1/360*v**6 + 1/30*v**5 - 1/6*v**4 + 0 + 4/9*v**3. Let i(t) be the first derivative of u(t). Factor i(q).
-(q - 2)**3/3
Let i(q) be the third derivative of -q**10/60480 + q**8/6720 - q**6/1440 - q**4/12 - 2*q**2. Let w(b) be the second derivative of i(b). Factor w(z).
-z*(z - 1)**2*(z + 1)**2/2
Let -3*b**2 + 4*b**3 - 5*b**3 - 9*b**4 + 10*b**3 + 3*b**5 = 0. What is b?
0, 1
Factor 2 + 31*o**2 - 48*o**5 - 5*o**2 + 1 - 48*o**4 + 22*o**2 + 24*o**3 + 21*o.
-3*(o - 1)*(2*o + 1)**4
Let m(u) be the third derivative of -u**7/2100 - u**6/900 + u**5/300 + u**4/60 + u**3/6 + 3*u**2. Let v(g) be the first derivative of m(g). Factor v(z).
-2*(z - 1)*(z + 1)**2/5
Let o(r) be the third derivative of 1/20*r**5 + 5*r**2 + 0*r**3 - 1/40*r**6 + 0*r + 1/4*r**4 + 0. Find a such that o(a) = 0.
-1, 0, 2
Let i(f) be the third derivative of f**8/336 - f**7/105 + f**5/30 - f**4/24 - 11*f**2. Solve i(h) = 0 for h.
-1, 0, 1
Let n = -49 + 151/3. What is f in -2*f**2 - 2/3*f**3 - n + 2/3*f**4 + 10/3*f = 0?
-2, 1
Let b(s) = -8*s - 2. Let r(t) = t**2 + t + 1. Let u(p) = b(p) + 2*r(p). Factor u(j).
2*j*(j - 3)
Let l(x) be the third derivative of -x**6/30 + 7*x**2. Factor l(q).
-4*q**3
Let v(x) be the second derivative of -7*x**5/100 + 13*x**4/30 - 13*x**3/30 - 3*x**2/5 + 3*x. Solve v(y) = 0 for y.
-2/7, 1, 3
Find t, given that 1/2*t - 1/2*t**2 + 0 - 1/2*t**3 + 1/2*t**4 = 0.
-1, 0, 1
Let z(w) be the second derivative of -2*w**6/15 + 4*w**5/5 - 5*w**4/3 + 4*w**3/3 - 4*w. Factor z(b).
-4*b*(b - 2)*(b - 1)**2
Let r(o) be the first derivative of 0*o + 0*o**2 - 3/4*o**4 + o**3 + 2. Find h, given that r(h) = 0.
0, 1
Let 2 + 6 - 2*i**5 + 15*i**4 - 14*i**2 + 15*i**4 + 2*i**3 - 24*i**4 = 0. What is i?
-1, 1, 2
Let q = 1 + 2. Suppose -17 = -5*y + q, y = -2*j + 12. Factor 0 + 0*h**2 - 1/3*h**3 - 1/3*h**5 + 0*h - 2/3*h**j.
-h**3*(h + 1)**2/3
Suppose 2*g + 12 = 5*g. What is j in -3*j**2 + g*j**2 - 2*j - 3*j**2 = 0?
-1, 0
Let w = 781/5 + -156. Solve -w*h**2 - h**4 + 2/5*h + 0 - 8/5*h**3 = 0 for h.
-1, 0, 2/5
Let v = -150 - -1952/13. Factor 8/13*t**4 - 12/13*t**3 + 0 + 8/13*t**2 - v*t - 2/13*t**5.
-2*t*(t - 1)**4/13
Let q(g) be the first derivative of -g**5/180 - g**4/24 - g**3/9 - g**2 + 3. Let c(u) be the second derivative of q(u). What is z in c(z) = 0?
-2, -1
Factor 65*i - 3 - 23*i**2 + 9*i**3 - 4*i**3 - 17*i**2 - 27.
5*(i - 6)*(i - 1)**2
Let x = -2 + 7/3. Let h(g) be the first derivative of -1 + 0*g**2 + 1/3*g**3 - x*g - 1/6*g**4. Factor h(p).
-(p - 1)**2*(2*p + 1)/3
Let c(b) be the second derivative of b**7/105 + b**6/20 + b**5/10 + b**4/12 - 3*b**2/2 + 3*b. Let h(k) be the first derivative of c(k). Factor h(a).
2*a*(a + 1)**3
Let c(g) be the first derivative of -1/5*g**3 - 5 + 0*g + 3/25*g**5 + 3/20*g**4 - 3/10*g**2. Solve c(l) = 0 for l.
-1, 0, 1
Factor -3/5*m**3 + 9/5*m + 0*m**2 + 6/5.
-3*(m - 2)*(m + 1)**2/5
Let v be 2/(-4) - (-11)/10. Let o = -15 + 15. Factor -3/5*s**2 + o + 3/5*s**4 - 3/5*s**3 + v*s.
3*s*(s - 1)**2*(s + 1)/5
Let n(a) be the third derivative of -a**6/24 + 5*a**5/12 - 5*a**4/3 + 10*a**3/3 - 11*a**2. Factor n(d).
-5*(d - 2)**2*(d - 1)
Let b(s) be the third derivative of s**5/60 + 5*s**2. Suppose b(w) = 0. What is w?
0
Let m(d) = 13*d**4 + 27*d**3 + 43*d**2 + 27*d + 8. Let o(y) = 6*y**4 + 14*y**3 + 22*y**2 + 14*y + 4. Let c(s) = -2*m(s) + 5*o(s). Factor c(g).
4*(g + 1)**4
Factor -3*u**4 + 4*u**4 + 6*u**3 - 4*u**3 - 3*u**5.
-u**3*(u - 1)*(3*u + 2)
Let k(w) be the second derivative of -7*w**4/108 + 2*w**3/9 + 2*w**2/9 - 12*w. What is s in k(s) = 0?
-2/7, 2
Let j(d) be the first derivative of -14*d**5/55 - 9*d**4/22 - 4*d**3/33 - 1. Factor j(b).
-2*b**2*(b + 1)*(7*b + 2)/11
Let g(y) = -y**2 - 7*y - 10. Suppose -n + 4 = 3*d + 6, d = 3*n + 16. Let k be g(n). Suppose 2/3*o**2 - 2/3 + k*o = 0. Calculate o.
-1, 1
Factor 7*p**2 + 4 + 5*p**2 + p**3 + p - 13*p - 5*p**3.
-4*(p - 1)**3
Let f(m) = m**5 - m**4 + m**3 - m - 1. Let v(t) = 10*t**5 - 30*t**4 - 5*t**2 - 15*t - 15. Let w(l) = 15*f(l) - v(l). Factor w(i).
5*i**2*(i + 1)**3
Let z(i) be the third derivative of -5*i**8/21 - 32*i**7/21 - 79*i**6/24 - 7*i**5/3 + 25*i**4/24 + 5*i**3/3 - 16*i**2. Solve z(n) = 0 for n.
-2, -1, -1/4, 1/4
Let x(t) be the second derivative of -t**6/105 + t**5/70 + t**4/21 + 6*t. Factor x(m).
-2*m**2*(m - 2)*(m + 1)/7
Let a(c) be the second derivative of 0*c**3 + 1/48*c**4 - 2*c - 1/8*c**2 + 0. Determine k so that a(k) = 0.
-1, 1
Let l(t) be the first derivative of -4*t**3/3 + 16*t**2 - 64*t - 15. Let l(v) = 0. What is v?
4
Let j(k) be the third derivat