of 4/15*t**3 + 1 - 2*t + 4/5*t**2 + 1/30*t**4. Let b(z) be the first derivative of w(z). Factor b(c).
2*(c + 2)**2/5
Let x(c) be the first derivative of c**3 - 6*c**2 - 36*c - 44. Factor x(f).
3*(f - 6)*(f + 2)
Let z(j) = 20*j**2 - 4*j - 2. Let m(t) = 2*t**2. Let p(q) = -22*m(q) + 2*z(q). Factor p(c).
-4*(c + 1)**2
Let g = 0 - 0. Suppose -5*h + 2*l = -8*h + 12, -h - 3*l + 4 = g. Factor 0*n**3 + 6*n**4 - n - h*n**4 + 3*n**3.
n*(n + 1)**2*(2*n - 1)
Let p be (0 + (-9)/(-6))/((-1)/(-2)). Let y(b) be the second derivative of 1/6*b**4 + 4*b**2 + b + 0 - 4/3*b**p. Factor y(u).
2*(u - 2)**2
Let l(z) be the second derivative of -13/2*z**4 - 3*z + 7/2*z**5 + 0 + 0*z**3 + 4*z**2. Let l(n) = 0. What is n?
-2/7, 2/5, 1
Find f such that -21*f**2 + 102*f + 41*f**2 + 64 + 58*f + 48*f**2 + 8*f**3 = 0.
-4, -1/2
Let i = -13 - -11. Let f be -3*i/12*0. Factor -2/5*p**4 + f + 0*p + 0*p**3 + 0*p**2 + 2/5*p**5.
2*p**4*(p - 1)/5
Let g(o) be the first derivative of 2*o**3/39 + 5*o**2/13 + 8*o/13 + 34. Determine b so that g(b) = 0.
-4, -1
Let q(b) = -3*b**3 + b**2 - 5*b - 5. Let z be (-2)/((-2)/3) - 1. Let w(u) = 6 + 5*u**3 + u**2 - z*u**2 + 6*u - u**3. Let n(m) = 5*q(m) + 4*w(m). Factor n(x).
(x - 1)*(x + 1)**2
Let d(h) be the first derivative of -4/9*h - 2/27*h**3 - 1/3*h**2 + 1. Factor d(w).
-2*(w + 1)*(w + 2)/9
Suppose -3*h - 25 = -4*r, 4*h - 5 = 3*h - 2*r. Let f be -6 - h - 35/(-11). Factor -2/11*x**2 - 6/11*x**4 - 6/11*x**3 + 0*x - f*x**5 + 0.
-2*x**2*(x + 1)**3/11
Find d such that -5/4*d**3 + 15/4*d**2 - 5/2*d + 0 = 0.
0, 1, 2
Suppose -3*q + 12 = -k, 7*q + 2*k - 9 = 2*q. Let z be 3/((-18)/(-22)) - q. Factor 1/3*f**5 + z*f**2 - 1/3*f + 0 - 2/3*f**4 + 0*f**3.
f*(f - 1)**3*(f + 1)/3
Factor 6*s**2 - 6*s**2 + s**2 + 2*s**3 - 3*s**3.
-s**2*(s - 1)
Let r(t) be the second derivative of -1/60*t**6 + 1/20*t**5 - 1/6*t**3 + 0 + 1/4*t**2 + t + 0*t**4. Factor r(n).
-(n - 1)**3*(n + 1)/2
Let y(w) be the first derivative of 2*w**5/25 + 3*w**4/20 - w**3/15 - 3*w**2/10 - w/5 + 27. Factor y(k).
(k - 1)*(k + 1)**2*(2*k + 1)/5
Let g(n) be the second derivative of n**10/60480 + n**9/7560 + n**8/3360 - 5*n**4/12 - 9*n. Let c(x) be the third derivative of g(x). Factor c(f).
f**3*(f + 2)**2/2
Let k(w) = -2 - 1 + 2 + 2 + w**2. Let c be k(-1). Factor 0 - 1/4*r**c + 0*r - 1/4*r**3.
-r**2*(r + 1)/4
Let d(w) be the first derivative of 3*w**4/32 + 7*w**3/12 + 5*w**2/4 + w - 17. Factor d(i).
(i + 2)**2*(3*i + 2)/8
What is s in 0 - 1/2*s + 1/4*s**3 - 1/4*s**2 = 0?
-1, 0, 2
Let o(p) be the third derivative of -p**6/1620 - p**5/135 - p**4/27 + 5*p**3/6 + 4*p**2. Let c(x) be the first derivative of o(x). Factor c(n).
-2*(n + 2)**2/9
Let h(o) = o**3 + 1. Let j(l) = 2*l**3 + 12*l**2 + 12*l + 2. Let i(m) = -10*h(m) + j(m). What is d in i(d) = 0?
-1, 1/2, 2
Let v(k) be the first derivative of -k**3/12 + 3*k**2/8 - k/2 + 8. Suppose v(o) = 0. Calculate o.
1, 2
Let c(m) be the third derivative of m**8/168 + 2*m**7/105 - m**6/60 - m**5/15 - m**2. Determine h, given that c(h) = 0.
-2, -1, 0, 1
Let 0*z + 0 + 1/4*z**3 + 1/2*z**4 - 1/4*z**5 - 1/2*z**2 = 0. What is z?
-1, 0, 1, 2
Factor 2*v + 2/9*v**2 + 28/9.
2*(v + 2)*(v + 7)/9
Let l(v) be the third derivative of 2/175*v**7 - 7/200*v**6 + 1/40*v**4 + 0 + 0*v**3 + 0*v + 5*v**2 + 1/50*v**5. Factor l(f).
3*f*(f - 1)**2*(4*f + 1)/5
Suppose 8 + 0 = 4*l. Let x be l + (-9)/(-3) - 0. Factor o**2 - x*o - 3*o**2 + 3*o.
-2*o*(o + 1)
Factor 12/5 + 2*n - 2/5*n**2.
-2*(n - 6)*(n + 1)/5
Let s = 58 + -56. Find l, given that -4/7*l + 10/7*l**s - 2/7*l**3 + 0 + 6/7*l**5 - 10/7*l**4 = 0.
-1, 0, 2/3, 1
Let v(k) be the third derivative of 1/25*k**5 + 0*k + 1/5*k**4 + 7*k**2 + 0 + 8/15*k**3 + 1/300*k**6. Factor v(y).
2*(y + 2)**3/5
Let a = -898/143 - -84/13. Factor 0 - 6/11*r**3 - 2/11*r - 6/11*r**2 - a*r**4.
-2*r*(r + 1)**3/11
Let m(l) = l**2 - 14*l + 15. Let y be m(13). Let u(b) be the first derivative of 0*b**2 - 2/5*b**5 + 0*b + b**4 - y - 2/3*b**3. Solve u(j) = 0 for j.
0, 1
Factor 7*h - h**2 + 5*h**2 + 2*h - 3*h**2.
h*(h + 9)
Suppose -n - 6 = -3*n. Find w such that -17/2*w**2 + 8*w**4 - 17/2*w**n + 8*w**5 + 1/2*w + 1/2 = 0.
-1, -1/4, 1/4, 1
Let j(s) be the first derivative of -4/21*s**3 + 0*s**2 + 1/21*s**6 - 4 + 5/14*s**4 + 0*s - 8/35*s**5. Find y such that j(y) = 0.
0, 1, 2
What is h in -4/7 - 2/7*h**2 + 9/7*h = 0?
1/2, 4
Let p(i) = 2*i + 0*i + 10*i**2 + 0*i**2 + 2*i + 9*i**3. Let n(x) = 18*x**3 + 21*x**2 + 9*x. Let q(y) = -4*n(y) + 9*p(y). Factor q(v).
3*v**2*(3*v + 2)
Let u(o) be the second derivative of -o**6/60 - o**5/10 - 5*o**4/24 - o**3/6 - 3*o. Factor u(h).
-h*(h + 1)**2*(h + 2)/2
Let c be 44/6 + 1/(-3). Let i(d) be the third derivative of 0*d**4 + 1/168*d**8 + 0 + 0*d**3 + 0*d + 1/105*d**c - 2*d**2 - 1/30*d**5 - 1/60*d**6. Factor i(w).
2*w**2*(w - 1)*(w + 1)**2
Let m be (-90)/(-27) + 8/(-6). Solve -2/5*o**m - 2/5 - 4/5*o = 0 for o.
-1
Suppose 5*s - 20 = 4*s. Suppose -a + s = 2*a - 4*x, -2*a + 4*x + 20 = 0. Find d, given that 2/5*d + 1/5*d**2 + a = 0.
-2, 0
Let q(p) = p**5 - p**4 + p**3 - p**2. Let u(j) = 25*j**5 - 30*j**4 + 25*j**3 - 20*j**2. Let y(x) = -20*q(x) + u(x). Let y(s) = 0. What is s?
0, 1
Let r(v) = -6*v**2 - 19*v - 2. Let u(c) = -c**2 + c + 1. Let k(p) = -r(p) - 2*u(p). Let h(d) = -d**2 - 2*d. Let i(t) = 51*h(t) + 6*k(t). What is y in i(y) = 0?
0
Let a(w) be the third derivative of w**7/105 + w**6/20 + w**5/10 + w**4/12 + 6*w**2. Factor a(l).
2*l*(l + 1)**3
Let f(i) be the first derivative of 3*i**4/4 + 2*i**3 + 3*i**2/2 - 11. Factor f(w).
3*w*(w + 1)**2
Suppose -2*x = 5*s - 4*x + 109, -5*s = 2*x + 101. Let m be 2 + (-3 - 33/s). Factor -m*y**4 + 2/7*y**3 + 2/7*y**5 + 0*y + 0*y**2 + 0.
2*y**3*(y - 1)**2/7
Let l(m) be the third derivative of -64/3*m**3 + 4*m**4 + 1/60*m**6 + 0 + 5*m**2 + 0*m - 2/5*m**5. Factor l(z).
2*(z - 4)**3
Let b(l) be the first derivative of -3*l**5/5 + 3*l**4/2 + l**3 - 3*l**2 - 15. Let b(r) = 0. What is r?
-1, 0, 1, 2
Let a be (-77)/(-84) - 2/3. Factor 2*p**5 + 0*p + 3*p**4 + a*p**2 + 3/2*p**3 + 0.
p**2*(2*p + 1)**3/4
Let f be 28/(7 + -3) - 1. Let m(i) be the second derivative of 1/15*i**f + 2*i + 0*i**2 - 1/6*i**4 + 0*i**5 + 1/6*i**3 + 0 - 1/42*i**7. Factor m(o).
-o*(o - 1)**3*(o + 1)
Let x be ((-354)/(-8))/(3/(-2)). Let c = x - -417/14. Suppose -4/7*o + 2/7 + c*o**2 = 0. What is o?
1
Let q(d) = -d**3 + 4*d**2 + 4*d + 7. Let a be q(5). Factor 3*j**5 + 15*j**4 + j + a*j + 12*j**2 - 3*j**4 + 18*j**3.
3*j*(j + 1)**4
Let r(o) be the second derivative of o**6/20 - 3*o**4/8 + o**3/2 - 9*o. Factor r(s).
3*s*(s - 1)**2*(s + 2)/2
Let t = -9 + 15. Suppose -t - 10 = -4*s. Factor -a**2 - a - 1 + s*a - a.
-(a - 1)**2
Let q be (21/(-28))/(-15*5/140). Find a, given that 7/5*a**2 - q*a**4 + 3/5*a**3 - a**5 + 0 + 2/5*a = 0.
-1, -2/5, 0, 1
Let v(r) = -7*r**4 - 16*r**3 + 15*r**2 + 40*r - 29. Let q(j) = -13*j**4 - 32*j**3 + 29*j**2 + 80*j - 59. Let i(s) = -3*q(s) + 5*v(s). Factor i(f).
4*(f - 1)**2*(f + 2)*(f + 4)
Determine y so that -2/5*y**2 + 0*y + 0 = 0.
0
Let x(c) = -5*c**2 - 21*c**2 - 8*c**2 - 11*c - 6*c**2 + 9*c**3 + 11. Let w(g) = -2*g**3 + 8*g**2 + 2*g - 2. Let k(l) = -11*w(l) - 2*x(l). Factor k(p).
4*p**2*(p - 2)
Let c = 2/231 + 3/77. Let u(p) be the second derivative of 1/105*p**6 - p + 1/70*p**5 - c*p**3 - 1/42*p**4 + 0 + 0*p**2. Factor u(a).
2*a*(a - 1)*(a + 1)**2/7
Let b(g) be the third derivative of -g**8/112 - g**7/35 - g**6/40 - 10*g**2. Let b(y) = 0. What is y?
-1, 0
Let d(v) be the second derivative of -1/2*v**3 - 3/4*v**4 + 2*v + 1/10*v**6 + 3*v**2 + 0 + 3/20*v**5. Factor d(g).
3*(g - 1)**2*(g + 1)*(g + 2)
Let u(l) be the first derivative of 2*l**5/25 - l**4/5 + 2*l**3/15 - 7. Determine n so that u(n) = 0.
0, 1
Let h(x) = -x**3 + 4*x**2 - 3*x + 5. Let f be h(4). Let o = 7 + f. Factor o*y**2 + 0*y**3 + 0 + 0*y - 1/4*y**4.
-y**4/4
Let m(k) = k + 10. Let t be m(-6). Factor -n**t - n**2 + n + 4*n**2 - 3*n.
-n*(n - 1)**2*(n + 2)
Let s(o) be the second derivative of o**7/630 - 2*o**6/45 + 8*o**5/15 - 5*o**4/12 - 5*o. Let f(q) be the third derivative of s(q). Factor f(t).
4*(t - 4)**2
Let l(m) be the third derivative of -3*m**2 - 11/12*m**4 + 3/20*m**6 + 2/5*m**5 + 2/3*m**3 + 0 + 0*m. Factor l(u).
2*(u + 2)*(3*u - 1)**2
Let g = 122 + -1096/9. Factor 0*x**2 + g*x**5 + 0*x**4 - 4/9*x**3 + 0 + 2/9*x.
2*x*(x - 1)**2*(x + 1)**2/9
Facto