5. Let v(o) be the first derivative of g(o). Factor v(l).
-2*(l - 1)*(l + 1)**4/9
Let x(i) be the first derivative of -1 + 1/30*i**6 - 1/12*i**4 + 0*i**3 + 0*i**5 + 0*i**2 + i. Let j(s) be the first derivative of x(s). Factor j(a).
a**2*(a - 1)*(a + 1)
Let p(d) be the second derivative of d**8/504 - d**7/315 - d**6/90 + 3*d**2 + 5*d. Let f(m) be the first derivative of p(m). Factor f(u).
2*u**3*(u - 2)*(u + 1)/3
Suppose 8 = 3*y + y. Let o be y - (0 - (2 + -2)). Solve 7/2*d**o - 1/2 + 2*d**3 + d = 0 for d.
-1, 1/4
Let l(r) be the third derivative of r**8/96 + 4*r**7/105 + r**6/60 - 7*r**5/60 - 11*r**4/48 - r**3/6 - 9*r**2. Factor l(f).
(f - 1)*(f + 1)**3*(7*f + 2)/2
Let p = -2/217 - -456/2387. Factor 0 + p*g**2 + 6/11*g.
2*g*(g + 3)/11
Let x(b) be the third derivative of -11/180*b**6 + 2/9*b**3 + 0*b + 5*b**2 - 1/45*b**5 + 11/36*b**4 + 0. What is r in x(r) = 0?
-1, -2/11, 1
Let p = 8 + -13. Let n(m) = -m - 5. Let h be n(p). What is u in 0*u + h - 1/2*u**2 = 0?
0
Let m(o) be the third derivative of -25*o**8/672 + o**7/168 + o**6/8 - o**5/48 - 5*o**4/48 - o**2. Suppose m(s) = 0. What is s?
-1, -2/5, 0, 1/2, 1
Let v(h) be the third derivative of -h**6/420 - h**5/210 + h**4/84 + h**3/21 - 5*h**2. Determine r so that v(r) = 0.
-1, 1
Let m(n) be the second derivative of n**8/1680 - n**7/450 + n**6/450 + 11*n**4/12 + 9*n. Let z(q) be the third derivative of m(q). Factor z(h).
4*h*(h - 1)*(5*h - 2)/5
Suppose 22 = -4*t + 34. Suppose 8/7*c**t - 10/7*c**2 + 0 + 4/7*c - 2/7*c**4 = 0. Calculate c.
0, 1, 2
Let f(w) be the third derivative of -w**9/2016 + w**8/1120 + w**7/560 - w**6/240 + w**3/2 - 2*w**2. Let j(q) be the first derivative of f(q). Factor j(z).
-3*z**2*(z - 1)**2*(z + 1)/2
Let c(x) = -2*x + 7. Let b be c(5). Let q(y) = y + 7. Let l be q(b). Suppose -12*n**3 + 3 - 2*n + 8*n**l + 8*n**2 - 2*n**5 - 3 = 0. Calculate n.
0, 1
Let b(k) = 2*k**3 + 10*k**2. Let n(f) = -f**3 - 10*f**2. Let m(g) = -4*b(g) - 3*n(g). Solve m(y) = 0.
-2, 0
Let z(m) = -5*m**4 + 55*m**3 - 65*m**2 - 215*m + 205. Let b(f) = f**4 - 14*f**3 + 16*f**2 + 54*f - 51. Let u(q) = -25*b(q) - 6*z(q). Factor u(v).
5*(v - 1)**2*(v + 3)**2
Suppose 3*a - a + 2 = 0. Let r(w) = w**3 - 1. Let j(s) = -9*s**3 + 3*s**2 + 3*s + 3. Let n(f) = a*j(f) - 6*r(f). Factor n(v).
3*(v - 1)**2*(v + 1)
Let x = 4 + 26. Let h be (-5)/x + 2/3. Let f**2 + 0*f**3 - 1/2 - h*f**4 + 0*f = 0. What is f?
-1, 1
Let q(f) be the third derivative of -1/30*f**3 + 1/300*f**5 + 0*f + 0 + 0*f**4 - 3*f**2. Suppose q(d) = 0. What is d?
-1, 1
Let u = -10/9 - -23/18. Let y(v) be the first derivative of 1/30*v**5 + 4 - u*v**4 + 0*v**2 + 0*v + 2/9*v**3. Factor y(s).
s**2*(s - 2)**2/6
Let u(o) = 2*o**5 + 12*o**4 - 6*o**3 - 8*o**2 + 8. Let d(p) = p**5 + 8*p**4 - 4*p**3 - 5*p**2 + 5. Let f(b) = 8*d(b) - 5*u(b). Factor f(v).
-2*v**3*(v - 1)**2
Suppose 0*v - 2*v = -12. Suppose -27 - 1 = -4*u - 4*s, -2*s = -v. Solve 2*m**5 - 2*m**3 - 2 + 2 + 3*m**u - 4*m**2 + 1 = 0.
-1, 1/2, 1
Let v(r) = -3*r**4 + 12*r**3 - 18*r**2 + 9*r - 3. Let i(p) = -6*p**4 + 24*p**3 - 36*p**2 + 17*p - 6. Let x(f) = 3*i(f) - 7*v(f). Find u, given that x(u) = 0.
1
Let l(f) be the first derivative of f**7/1680 + f**6/1440 + f**3/3 - 2. Let s(b) be the third derivative of l(b). Let s(u) = 0. What is u?
-1/2, 0
Let 0 - 1/3*q**3 - 1/3*q + 2/3*q**2 = 0. What is q?
0, 1
Let s = 5/3888 + -8881/19440. Let r = 2/45 - s. Factor 1/2*z**2 + 1/2*z + 0 - 1/2*z**3 - r*z**4.
-z*(z - 1)*(z + 1)**2/2
Factor -1/7*i**3 + 4/7*i**2 + 2/7 - 5/7*i.
-(i - 2)*(i - 1)**2/7
Suppose 0 = 3*s + 4 - 28. Factor -2*i**2 + i**2 - 8 - s*i - i**2.
-2*(i + 2)**2
Let v = 9 - 7. Factor 6 - 5 + 3*o**v - 1.
3*o**2
Let o(n) be the second derivative of n**7/42 + n**6/10 + n**5/20 - n**4/4 - n**3/3 - 10*n. Factor o(i).
i*(i - 1)*(i + 1)**2*(i + 2)
Let h(l) = l**5 - l**4 - l - 1. Let k(q) = 32*q**5 - 18*q**4 - 20*q**3 - 8*q**2 - 12*q - 18. Let a(i) = -44*h(i) + 2*k(i). Solve a(m) = 0 for m.
-1, -2/5, 1
Suppose -q + 0 + 2 = 0. Let p be (20/8 - 1)*q. Factor -2/7*j**p + 0 - 6/7*j**2 - 4/7*j.
-2*j*(j + 1)*(j + 2)/7
Let r(w) be the first derivative of w**4/4 + w - 4. Let q(j) = j**4 - 5*j**3 - j**2 - j - 6. Let d(v) = q(v) + 6*r(v). Factor d(m).
m*(m - 1)*(m + 1)**2
Suppose b + 5*x - 15 = 0, -4*b + 1 - 16 = -5*x. Factor 4/3*h + b - 2/3*h**3 - 2/3*h**2.
-2*h*(h - 1)*(h + 2)/3
Let l(z) be the first derivative of z**6/120 - z**5/20 + 2*z**3/3 + 3*z**2/2 + 2. Let u(v) be the second derivative of l(v). Factor u(h).
(h - 2)**2*(h + 1)
Let x(j) be the second derivative of j**4/30 - j**2/5 + 5*j. What is p in x(p) = 0?
-1, 1
Let w(s) be the second derivative of -1/39*s**3 + 0 - 1/130*s**5 + 0*s**2 + s + 1/39*s**4. Find t, given that w(t) = 0.
0, 1
Let g(y) = -y - 3. Let s be g(-7). Factor -3*a**5 + s - 4 + 2*a**5 + a**4.
-a**4*(a - 1)
Let w = -207 - -829/4. Factor -w*z**3 + 1/4*z + 0*z**2 + 0.
-z*(z - 1)*(z + 1)/4
Let -3/2 + 1/4*y**2 - 1/4*y = 0. What is y?
-2, 3
Let -9*a**3 - 5*a**5 - 6*a**4 + 7*a + 8*a**5 + 5*a + 12*a**2 = 0. What is a?
-1, 0, 2
Let l be (12/3)/(1 - 0). Suppose -2*u + l*u - 6 = 0. Determine a, given that 1/3*a**u - 2/3 - 1/3*a + 2/3*a**2 = 0.
-2, -1, 1
Let t(p) = 5*p**4 + 4*p**3 + 4*p**2 + 5*p - 9. Let d(m) = -m**4 - m**3 - m**2 - m + 2. Let k(b) = 18*d(b) + 4*t(b). What is r in k(r) = 0?
-1, 0, 1
Suppose -3*d**5 - 9*d**3 - 9*d**4 - 15*d**4 + 12*d**4 = 0. What is d?
-3, -1, 0
Let f(j) be the third derivative of j**10/105840 - j**8/23520 + j**4/3 + 3*j**2. Let v(n) be the second derivative of f(n). Factor v(b).
2*b**3*(b - 1)*(b + 1)/7
Suppose -2*a + 12 = -5*p + p, 0 = -5*a + 5*p + 25. Find h such that h + 0*h**2 - h**3 - 1/2 + 1/2*h**a = 0.
-1, 1
Let l be (0 - 2) + 1 + 14. Determine a so that -2*a - 10*a**3 + l*a**3 - a = 0.
-1, 0, 1
Let s = 21 - 17. Let y(u) be the second derivative of 0*u**2 - 1/30*u**5 + 0 - 1/18*u**s + 1/45*u**6 + 1/9*u**3 - 3*u. Determine n, given that y(n) = 0.
-1, 0, 1
Let s(y) be the second derivative of 1/20*y**5 + 0 + 1/12*y**4 + 0*y**2 - 1/30*y**6 + y - 1/6*y**3. Factor s(n).
-n*(n - 1)**2*(n + 1)
Let n = 3 - 1. Suppose n*j = j. Suppose -3*m**2 + 4*m**2 + j*m**2 + m = 0. What is m?
-1, 0
Factor -2/9*c**3 - 2/9*c**2 + 0 + 2/9*c**5 + 2/9*c**4 + 0*c.
2*c**2*(c - 1)*(c + 1)**2/9
Let o(q) be the first derivative of -q**9/3024 - q**8/1680 + q**7/840 + q**6/360 + 4*q**3/3 + 2. Let f(p) be the third derivative of o(p). Factor f(n).
-n**2*(n - 1)*(n + 1)**2
Let i = 5 - 1. Factor f - i*f**2 - 2 + 6*f**2 - f.
2*(f - 1)*(f + 1)
Let z = 9 + -15. Let l(h) = h**3 + h**2 + h - 1. Let t(w) = 3*w**3 + 3*w**2 + w - 3. Let j(g) = z*l(g) + 3*t(g). Factor j(a).
3*(a - 1)*(a + 1)**2
Factor -4/9*w**3 + 4/9*w + 0*w**2 + 2/9 - 2/9*w**4.
-2*(w - 1)*(w + 1)**3/9
Let w(h) = -h**2 - h - 1. Let d(q) = 2*q**2 + q + 2. Let l = -47 + 67. Suppose -i = -5*i - l. Let y(t) = i*w(t) - 3*d(t). Factor y(b).
-(b - 1)**2
Suppose -9 = -5*t + 2*t. Let g = -2 - -5. Factor -6*w**t + 4*w**g - 1 - 2*w**2 + 3 + 2*w + 0*w**3.
-2*(w - 1)*(w + 1)**2
Suppose 3*g - 20 = 5*j, 10 = 5*g - 4*j - 6. Let i(b) be the second derivative of -1/6*b**4 + 0 - 1/3*b**3 + g*b**2 - 2*b. Factor i(k).
-2*k*(k + 1)
Determine g, given that 3*g - 34*g**4 + 3*g**2 - 5*g + 33*g**4 = 0.
-2, 0, 1
Let t(b) = b**3 - b**2 + b - 1. Let v(c) = -c**4 - 5*c**3 - 2*c**2 + 3*c + 5. Let n(w) = 4*t(w) + 4*v(w). Factor n(i).
-4*(i - 1)*(i + 1)*(i + 2)**2
Suppose 1/5*v**4 - 1/5*v**2 + 0 + 1/5*v - 1/5*v**3 = 0. What is v?
-1, 0, 1
Suppose 2/3*s**5 + 3*s**4 - 4*s - 4/3 - 5/3*s**2 + 10/3*s**3 = 0. What is s?
-2, -1, -1/2, 1
Let g(s) be the second derivative of -s + 0 + 1/12*s**3 - 1/24*s**4 + 1/120*s**5 - s**2. Let n(a) be the first derivative of g(a). Factor n(p).
(p - 1)**2/2
Let u(v) be the second derivative of 0 + 3/20*v**5 + 0*v**2 + 0*v**4 - 1/2*v**3 - 2*v. Solve u(m) = 0.
-1, 0, 1
Let j = 19 - 10. Suppose 0 = 3*v - 0*v - j. Factor 1/3*t + 0 + 0*t**2 - 1/3*t**v.
-t*(t - 1)*(t + 1)/3
Let h be 2/(-4)*(0 + -6). Determine f so that f + 3*f**h + 0*f**3 - f - 3*f**2 - f**4 + f = 0.
0, 1
Let c be (3 + -1)*(5 - 3). Factor 3 - 2*z**2 + z**3 + 1 - c.
z**2*(z - 2)
Find v such that -8/7*v + 8/7 + 2/7*v**2 = 0.
2
Let m be (3 + 0 + -3)*-1. Let y be 3*1 + (-3 - 0). Factor y*a**3 + 2/5*a**5 - 2/5*a + 4/5*a**2 + m - 4/5*a**4.
2*a*(a - 1)**3*(a + 1)/5
Let z(r) = -r + 1. Let k be z(1