**4 - 7*t**3 + 8*t**2. Let b(h) = 2*d(h) + 5*r(h). Factor b(w).
-2*w**2*(w - 2)*(w - 1)
Suppose 3*p + 16 = 11*p. Factor 4/5*y**3 + 2/5*y + 0 - 6/5*y**p.
2*y*(y - 1)*(2*y - 1)/5
Let c = -486 - -25273/52. Let u = 25/52 + c. Find f such that 1/4*f**4 - u*f - 1/4 + 0*f**2 + 1/2*f**3 = 0.
-1, 1
Let v(y) = y**3 + 5*y**2 - 4*y - 4. Let l be v(-5). Suppose 2*g - a = -4 + l, g = -3*a - 1. Factor 2*z**4 + 0*z**5 + z**5 + z**g.
2*z**4*(z + 1)
Let o(i) be the second derivative of i**8/336 - i**6/30 + i**5/30 + i**4/8 - i**3/3 + i**2/2 + 6*i. Let t(k) be the first derivative of o(k). Factor t(s).
(s - 1)**3*(s + 1)*(s + 2)
Let f(z) be the third derivative of 0 - 1/6*z**3 - 1/60*z**5 + z**2 + 0*z - 1/12*z**4. Let f(t) = 0. What is t?
-1
Suppose -3*v = 5 - 17. Factor 12*n**2 + 7*n**2 + 5*n**5 + 3*n**5 - 18*n**4 - 12*n - 3*n**2 + v*n**3 + 2.
2*(n - 1)**3*(n + 1)*(4*n - 1)
Let m be (506/(-99) - -5)/((-1)/2). Find g such that -2/9*g**2 + 2/3*g**3 + 0 + 0*g - 2/3*g**4 + m*g**5 = 0.
0, 1
Suppose -2*l + 357 = 5*l. Let s(m) = -8*m**2 - 17*m + 17. Let d(o) = o**2 - 2*o**2 + 2 - 2*o + 0*o. Let i(u) = l*d(u) - 6*s(u). Factor i(t).
-3*t**2
Factor 20*u - 25*u + 5 - 5*u**3 + 10*u**3 - 5*u**2.
5*(u - 1)**2*(u + 1)
Suppose -9*f + 15 = -4*f. Let v(h) be the first derivative of -2/5*h**2 - 2/5*h - 2/15*h**f - 2. Factor v(j).
-2*(j + 1)**2/5
Factor 0 + 0*j + 2/13*j**5 - 50/13*j**2 + 70/13*j**3 - 22/13*j**4.
2*j**2*(j - 5)**2*(j - 1)/13
Let r(w) = 2*w + 30. Let t be r(-13). Factor 2/3*g - 2/3*g**2 + 0 + 2/3*g**t - 2/3*g**3.
2*g*(g - 1)**2*(g + 1)/3
Let g(m) be the first derivative of m**4/20 - 3*m**2/10 + 2*m/5 - 7. Factor g(h).
(h - 1)**2*(h + 2)/5
Let a(g) be the first derivative of g**6/90 - g**5/15 + g**4/12 + 2*g**3/9 - 2*g**2/3 - 4*g - 1. Let t(u) be the first derivative of a(u). Factor t(f).
(f - 2)**2*(f - 1)*(f + 1)/3
Let l be (27/4)/(3/8). Factor -5 + l*n - 18*n**3 + 3*n**4 + 11*n**4 - 10*n**2 + 1.
2*(n - 1)**2*(n + 1)*(7*n - 2)
Let q(v) be the third derivative of v**6/900 + v**5/150 + v**4/90 + 2*v**2 + 19*v. Let q(j) = 0. What is j?
-2, -1, 0
Let o be (33/(-36) + 1)/1. Let k(a) be the first derivative of 0*a**3 + 0*a - 1/6*a**2 + o*a**4 - 1. Factor k(j).
j*(j - 1)*(j + 1)/3
Let g(f) = 8*f**4 - 8*f**3 - 8*f**2 + 6*f + 2. Let w(p) = 8*p**4 - 8*p**3 - 9*p**2 + 7*p + 2. Suppose y = 5*y + 12. Let u(c) = y*g(c) + 2*w(c). Factor u(h).
-2*(h - 1)**2*(2*h + 1)**2
Let r(n) = 2*n**2. Let s be r(-1). Let c(i) = -2*i + 2*i + 3*i - 4*i. Let f(j) = -7*j**3 - 5*j**2 - 3*j. Let d(z) = s*f(z) - 10*c(z). Factor d(p).
-2*p*(p + 1)*(7*p - 2)
Let i(z) = -371*z**3 + 900*z**2 - 724*z + 196. Let u(k) = 1854*k**3 - 4500*k**2 + 3621*k - 981. Let p(q) = 21*i(q) + 4*u(q). Find x such that p(x) = 0.
4/5
Let q(h) = -h**3 + 10*h**2 - 23*h + 16. Let v be q(7). Factor 2*j - 3 - 1/3*j**v.
-(j - 3)**2/3
Factor 75*z**4 + 2130*z**2 + 3*z**5 + 2595/4*z**3 + 384 + 1680*z.
3*(z + 8)**3*(2*z + 1)**2/4
Let a = 126 - 126. What is p in -1/2*p + a - 2*p**3 + 5/2*p**2 = 0?
0, 1/4, 1
Let v(d) be the third derivative of -d**7/1575 + d**5/450 + 16*d**2. Factor v(i).
-2*i**2*(i - 1)*(i + 1)/15
Let b(d) = -d**3 + d**2 + d + 2. Let v be b(2). Let z = 137 - 137. Factor 1/5*w**5 + v + 0*w**2 - 4/5*w**4 + z*w + 4/5*w**3.
w**3*(w - 2)**2/5
Suppose -4*i - 3*u = -9, 0 = 2*i + u - 3 - 2. Let o(j) be the first derivative of -2 + 1/7*j**2 + 0*j - 2/21*j**i. What is t in o(t) = 0?
0, 1
Factor 1/4*g**3 - 1/2 + 0*g**2 - 3/4*g.
(g - 2)*(g + 1)**2/4
Let u(d) be the second derivative of 0 - 1/135*d**6 - 1/45*d**5 + 1/54*d**4 + 2/27*d**3 + 0*d**2 + 4*d. Solve u(c) = 0.
-2, -1, 0, 1
Suppose 3*t = 2*d + 20, 4*t - 4*d - 17 = 15. Let h be 0 + 0 - t/(-16). Let -1/4*v + 1/4*v**3 - 1/4 + h*v**2 = 0. Calculate v.
-1, 1
What is w in -2/9*w + 4/9 - 2/9*w**2 = 0?
-2, 1
Suppose 0 = 2*j + j - 6. Factor 3*b**3 - 3 + 1 - 2*b + 3*b**j - b**2 - b**3.
2*(b - 1)*(b + 1)**2
Let r be ((-1152)/(-480))/(21/40). Factor r + 2/7*t**2 - 16/7*t.
2*(t - 4)**2/7
Factor 2/13*i**5 + 6/13*i**4 + 2/13*i**2 + 0*i + 0 + 6/13*i**3.
2*i**2*(i + 1)**3/13
Let d(z) = -3*z - 10. Let r be d(-4). Let w(u) be the second derivative of -4*u**r - 1/6*u**4 + 4/3*u**3 - 2*u + 0. Factor w(i).
-2*(i - 2)**2
Let c(p) be the third derivative of p**5/120 - p**4/8 + 2*p**3/3 - 6*p**2. Let c(w) = 0. Calculate w.
2, 4
Let x(r) be the third derivative of 0 - r**2 + 0*r**4 + 0*r**3 + 0*r**6 + 0*r - 1/180*r**5 + 1/630*r**7. Solve x(l) = 0.
-1, 0, 1
Suppose -t = 2*t - 15. Let -m**4 - m**2 + t*m**4 - 3*m**4 = 0. What is m?
-1, 0, 1
Let s(f) be the second derivative of -16/3*f**3 + 2*f - 32*f**2 + 0 - 1/3*f**4. Factor s(z).
-4*(z + 4)**2
Let j be (-4)/30 - (1 + 921/(-495)). What is s in -2/11*s**2 - j - 8/11*s = 0?
-2
Let a = -1146 + 12614/11. Factor 2/11*c**2 + a*c + 8/11.
2*(c + 2)**2/11
Let h(q) be the first derivative of 1/2*q**4 - 2/15*q**5 + 1/3*q**2 + 0*q - 2/3*q**3 - 3. Factor h(v).
-2*v*(v - 1)**3/3
Find m such that -1/6*m**3 + 1/6 - 1/2*m + 1/2*m**2 = 0.
1
Suppose -2*p + p + 4 = 0. Let w(n) = n**2 - n. Let x(i) = -2*i**2 + 2*i. Let h(f) = p*x(f) + 9*w(f). Solve h(u) = 0.
0, 1
Let u(h) be the second derivative of -3*h + 0 + 0*h**3 + 1/9*h**2 - 1/54*h**4. Determine c so that u(c) = 0.
-1, 1
Let z(n) be the second derivative of 1/36*n**4 + 0*n**3 + 0 + 0*n**2 + 2*n. Factor z(f).
f**2/3
Suppose 0*z - z + 5 = 0. Suppose 3*f = z + 1. Suppose -1/4*y**3 + 1/4*y + 0 + 0*y**f = 0. What is y?
-1, 0, 1
Let k(a) be the third derivative of a**11/83160 - a**10/37800 + a**5/10 + 2*a**2. Let p(q) be the third derivative of k(q). Factor p(s).
4*s**4*(s - 1)
Let c(w) be the second derivative of w**7/3360 - w**6/1440 - w**5/480 + w**4/96 + w**3/2 + w. Let q(p) be the second derivative of c(p). Factor q(o).
(o - 1)**2*(o + 1)/4
Let p(w) be the first derivative of -w**7/735 + w**5/210 + 2*w**2 - 2. Let u(m) be the second derivative of p(m). Factor u(s).
-2*s**2*(s - 1)*(s + 1)/7
Let t(r) be the first derivative of r**4/72 + r**3/6 + 3*r**2/4 - 4*r + 5. Let x(s) be the first derivative of t(s). Factor x(p).
(p + 3)**2/6
Let q(l) be the first derivative of -49*l**6/120 + 7*l**5/10 - l**4/2 - 4*l**3/3 - 5. Let c(k) be the third derivative of q(k). Factor c(s).
-3*(7*s - 2)**2
Suppose -m - 4*s = 19, 0 = 3*m - 0*m - 2*s - 13. Let z be (4 - m)/(-1 - -2). Factor -1/2*f**4 + 5/2*f**3 + 4 - z*f**2 - 2*f.
-(f - 2)**3*(f + 1)/2
Let c(h) be the first derivative of h**4 - 16*h**3/3 + 10*h**2 - 8*h - 27. Let c(k) = 0. What is k?
1, 2
Let k = -3 + 10/3. Solve -s**2 - k + 4/3*s = 0 for s.
1/3, 1
Let b(y) be the third derivative of 0 + 1/32*y**4 - 7*y**2 - 1/160*y**6 + 1/8*y**3 - 1/80*y**5 + 0*y. Factor b(r).
-3*(r - 1)*(r + 1)**2/4
Suppose 19*v = -2*v. Let 0 + v*p - 4/3*p**2 + 0*p**3 + 4/3*p**4 = 0. What is p?
-1, 0, 1
Factor 3/5*z**4 + 0 - 6/5*z**3 + 6/5*z - 3/5*z**2.
3*z*(z - 2)*(z - 1)*(z + 1)/5
Let w be 1/2 - (-3 - (-164)/48). Let g(u) be the second derivative of 0*u**2 - 1/20*u**5 + 0 - 1/30*u**6 + 1/6*u**3 + 2*u + w*u**4. Factor g(j).
-j*(j - 1)*(j + 1)**2
Let o(y) = y + 9. Let s be o(-4). Suppose 0 = -s*r + 5 + 5. Factor 0 + 0 - n**r.
-n**2
Let h(u) be the first derivative of -u**6/9 + u**4/2 + 4*u**3/9 + 19. Let h(m) = 0. What is m?
-1, 0, 2
Let a(j) be the second derivative of -1/3*j**3 + 0 + 0*j**2 + 4*j - 1/12*j**4. Factor a(l).
-l*(l + 2)
Let t(p) = -p**3 - 5*p**2 + 4*p - 3. Let q be t(-6). Factor -7*l**2 + 4*l**3 + 13*l - q*l**2 + 0*l**2 + 3*l.
4*l*(l - 2)**2
Let r(b) be the second derivative of -10*b**7/21 + 4*b**6/15 + 3*b**5 + 4*b**4/3 - 8*b**3/3 - 5*b. Find l such that r(l) = 0.
-1, 0, 2/5, 2
Let r(a) = -a**5 - a**2 + a. Let j(b) = -5*b**5 + 2*b**4 - 3*b**2 + 3*b. Let i be 2/(-2 + 0/(-1)). Let u(z) = i*j(z) + 3*r(z). Solve u(m) = 0.
0, 1
Find c such that -5*c**3 - 10*c**3 - 3*c**4 + 0*c**4 - 18*c**2 = 0.
-3, -2, 0
Let t(o) be the third derivative of o**7/840 + o**6/160 - o**5/240 - o**4/32 + 23*o**2. Find n, given that t(n) = 0.
-3, -1, 0, 1
Let j(t) be the second derivative of -1/90*t**6 + 1/18*t**3 + 1/36*t**4 - t + 0 - 1/60*t**5 + 0*t**2. Factor j(z).
-z*(z - 1)*(z + 1)**2/3
Solve -9/5*z**2 - 3/5*z**3 + 27/5*z + 81/5 = 0 for z.
-3, 3
Let q(w) = -w - 6. Let x be q(-6). Suppose 0 = 4*g + 3*l - 9, -2*g + x*g = -l - 7. Solve 0 + 0*a + 7/2*a**5 + a**2 - 7/2*a**g - a**4 = 0 for a.
-1, 0, 2/7, 1
Let w = -