**4*(o + 1)/2
Let q(x) = x**2 - 3*x - 13. Let k be q(-3). Let g(v) be the second derivative of 1/24*v**3 - 1/80*v**k + 3*v + 0 + 0*v**4 + 0*v**2. Factor g(h).
-h*(h - 1)*(h + 1)/4
Let u(b) be the second derivative of -3*b**5/25 - 2*b**4/15 + 2*b**3/15 + 21*b. Factor u(k).
-4*k*(k + 1)*(3*k - 1)/5
Let f = 199/165 + 7/55. Suppose f*z + 1/3 + z**2 = 0. What is z?
-1, -1/3
Let d(f) be the first derivative of f**4/2 + 2*f**3 - f**2 - 6*f - 3. Factor d(v).
2*(v - 1)*(v + 1)*(v + 3)
Solve 0*t - 12/5*t**5 + 4*t**3 - 16/5*t**4 + 8/5*t**2 + 0 = 0.
-2, -1/3, 0, 1
Let f(w) = -6*w**5 + 61*w**4 - 115*w**3 + 54*w**2 + 97*w. Let a(t) = t**4 + t**3 - t. Let i(d) = -22*a(d) + 2*f(d). Solve i(h) = 0.
-2/3, 0, 3
Let s(g) be the first derivative of 3/20*g**5 + 0*g + 2 + 0*g**2 + 1/2*g**6 - 3/4*g**4 - 1/4*g**3. Let s(f) = 0. Calculate f.
-1, -1/4, 0, 1
Suppose -u = 2*u. Suppose -a - 2*a = u. Factor z**2 + 0*z**3 - 1/2*z**4 + a*z - 1/2.
-(z - 1)**2*(z + 1)**2/2
Let m = -1144 + 114401/100. Let b(f) be the second derivative of -f + 0 + 4/15*f**3 + 1/12*f**4 + 2/5*f**2 + m*f**5. Factor b(x).
(x + 1)*(x + 2)**2/5
Let h(n) be the third derivative of 0*n + 0 - 2*n**2 - 1/6*n**5 + 0*n**3 - 4/105*n**7 - 1/224*n**8 - 29/240*n**6 - 1/12*n**4. Let h(r) = 0. What is r?
-2, -1, -1/3, 0
Suppose -5*y = -4*b + 30, -b + y = -4 - 4. Let v = -6 + b. Factor -j - j**4 + 2*j**v - 2*j**2 + j**2 + j**3.
j*(j - 1)*(j + 1)**2
Let s(q) = 21*q**2 - 12*q + 6. Let f(h) = -21*h**2 + 11*h - 5. Let o(u) = -6*f(u) - 5*s(u). Factor o(m).
3*m*(7*m - 2)
Let j(a) be the third derivative of -a**7/105 - a**6/15 + a**5/5 + a**4/3 - 5*a**3/3 + a**2 - 30*a. Factor j(k).
-2*(k - 1)**2*(k + 1)*(k + 5)
Let i(u) be the second derivative of -2*u**6/15 + 2*u**5/5 - 4*u**3/3 + 2*u**2 - 7*u. Suppose i(k) = 0. Calculate k.
-1, 1
Let f(l) be the first derivative of -1/15*l**5 + 0*l + 9 + 1/6*l**4 + 1/9*l**3 - 1/3*l**2. What is w in f(w) = 0?
-1, 0, 1, 2
Let n(f) = f**2 - 4*f - 3. Let v be n(5). Determine l, given that -l + 2*l - 3*l + 0*l + 2*l**v = 0.
0, 1
Suppose -3*d = -5*o - 6, 4*o = 2*o. Let z(p) be the first derivative of 3/5*p**2 + d - 1/5*p + 3/5*p**4 - 4/25*p**5 - 13/15*p**3. Solve z(j) = 0.
1/2, 1
Let t(y) be the first derivative of -y**6/2700 - y**5/900 + y**4/90 - y**3 + 2. Let b(z) be the third derivative of t(z). Factor b(s).
-2*(s - 1)*(s + 2)/15
Suppose -4*a + 5 + 11 = 0. Factor q**a + 3*q**3 - 4*q**3 + q**2 - q**3.
q**2*(q - 1)**2
Let a(z) = z**2 - 5*z - 6. Let f be a(6). Let w = 161/3 + -53. Determine o, given that 0 + f*o + w*o**4 + 0*o**3 - 2/3*o**2 = 0.
-1, 0, 1
Factor -4/7*q**2 + 4/7*q - 4/7*q**3 + 4/7.
-4*(q - 1)*(q + 1)**2/7
Let k(r) be the third derivative of 0*r**5 + 0*r + 0 - 2/105*r**7 + 0*r**4 + 0*r**3 - 1/168*r**8 - 2*r**2 - 1/60*r**6. Factor k(i).
-2*i**3*(i + 1)**2
Suppose 2*n - 11*n = -243. Let l = 29 - n. Factor l*p**3 + 0 - 1/2*p**2 + 0*p.
p**2*(4*p - 1)/2
Let c(p) be the first derivative of 15*p**5 + 15*p**4 - 21*p**3 - 30*p**2 - 12*p - 6. Factor c(t).
3*(t - 1)*(t + 1)*(5*t + 2)**2
Let i(q) be the second derivative of q**5/10 + q**4/3 - 32*q. What is x in i(x) = 0?
-2, 0
Let r(v) be the second derivative of v**4/48 + v**3/12 + 7*v. Factor r(y).
y*(y + 2)/4
Let v(y) be the first derivative of -1/12*y**3 - 1/8*y**2 + 1 + 0*y. Solve v(a) = 0.
-1, 0
Let l(h) = -3*h**2 - 12*h + 15. Let p be l(-5). Find w, given that 4/3*w**2 + 2/3*w + p + 2/3*w**3 = 0.
-1, 0
Let y be (-15)/(-4) + (-1)/(-4). What is w in -3*w**2 + 0*w + 3*w + 2*w**y - w - w**4 = 0?
-2, 0, 1
Let c(u) = -4*u - 68. Let n be c(-18). Factor -3/5*a**n - 9/5*a**3 - 3/5*a + 0 - 9/5*a**2.
-3*a*(a + 1)**3/5
Let b be ((-6)/(-4))/((-2)/(-4)). Suppose -4*d - 5*n + n - 4 = 0, -2*d = -3*n - 13. Let -2*c**2 + 0*c**2 + 2*c**b + d*c**2 = 0. Calculate c.
0
Let k(i) be the third derivative of i**8/280 - i**7/525 - i**6/50 + i**5/75 + i**4/20 - i**3/15 + 8*i**2. Find c such that k(c) = 0.
-1, 1/3, 1
Let i(b) be the second derivative of b**10/30240 + b**9/7560 + b**8/6720 + b**4/6 - 8*b. Let n(m) be the third derivative of i(m). Factor n(x).
x**3*(x + 1)**2
Let l(w) be the second derivative of -w**7/14 - 7*w**6/10 - 27*w**5/10 - 5*w**4 - 4*w**3 - 21*w. Factor l(s).
-3*s*(s + 1)*(s + 2)**3
Let y(f) be the first derivative of f**3/30 + 3*f**2/5 - 13*f/10 + 19. What is s in y(s) = 0?
-13, 1
Suppose 0 - 18/13*k - 44/13*k**3 - 16/13*k**4 - 2/13*k**5 - 48/13*k**2 = 0. Calculate k.
-3, -1, 0
Let f = -15 + 17. Factor -3*i**2 - i**f - 16*i - 16 + 0*i**2.
-4*(i + 2)**2
Let v be ((-6)/(-15) - 1/15)*1. Solve -v*x + 0 + 2/3*x**3 + 0*x**4 - 1/3*x**5 + 0*x**2 = 0 for x.
-1, 0, 1
Let l(q) be the second derivative of -q**4/21 + 4*q**3/21 - 15*q. Factor l(h).
-4*h*(h - 2)/7
Let z be (57/(-38))/(6/(-8)). Determine h so that -2/3*h**z + 1/3 - 1/3*h = 0.
-1, 1/2
Let c(d) be the second derivative of -d**5/50 + d**4/5 + 7*d**3/15 - 36*d. Suppose c(p) = 0. What is p?
-1, 0, 7
Let g(d) be the first derivative of -3*d**5/5 + 3*d**4 - 6*d**3 + 6*d**2 - 3*d - 5. Find u, given that g(u) = 0.
1
Let d(h) be the second derivative of h**7/168 + h**6/40 + h**5/80 - h**4/16 - h**3/12 - 23*h. Factor d(t).
t*(t - 1)*(t + 1)**2*(t + 2)/4
Let d(x) be the second derivative of -x**4/36 + x**2/6 - 22*x. Factor d(j).
-(j - 1)*(j + 1)/3
Let j = -5 - -7. Let f be 1 + j - 13/5. Solve f*u**2 + 2/5*u + 0 = 0 for u.
-1, 0
Let q(g) be the third derivative of 0*g**4 + 0*g + 2*g**2 + 0*g**3 - 1/60*g**6 + 0 - 1/30*g**5. Let q(c) = 0. Calculate c.
-1, 0
Let z(j) be the first derivative of 4*j**3/3 - 4*j**2 + 4*j + 11. Factor z(f).
4*(f - 1)**2
Suppose -4*x + 5*o - 8 = -0*o, -2*x + 5*o = 14. Factor 4*m**2 + 5*m - 6*m + 3*m + 2*m**x.
2*m*(m + 1)**2
Let g(j) be the first derivative of -4*j**3/15 - 3*j**2/5 + 4*j/5 - 3. Factor g(u).
-2*(u + 2)*(2*u - 1)/5
Find u such that -4/13 + 48/13*u**2 - 86/13*u**3 + 40/13*u**4 + 2/13*u = 0.
-1/4, 2/5, 1
Find m, given that 4/3*m + 0 - 2*m**2 - 10/3*m**3 = 0.
-1, 0, 2/5
Let q(p) = 2*p - 6. Let a be q(3). Let c(d) be the second derivative of 0*d**2 + d + 1/10*d**5 - 1/3*d**3 + a + 0*d**4. Solve c(y) = 0 for y.
-1, 0, 1
Let a(p) = p + 7. Let n be a(-3). Determine y, given that 2 + n*y + 4*y**2 - 8*y**2 - 2 = 0.
0, 1
Let d(s) be the first derivative of -s**4/16 - s**3/12 + s**2/4 - 7. Find n such that d(n) = 0.
-2, 0, 1
Let t(q) be the first derivative of 5 + 0*q**2 + 0*q**3 + 1/5*q**6 + 4/25*q**5 + 0*q - 1/10*q**4. Solve t(r) = 0.
-1, 0, 1/3
Let g(k) be the third derivative of -1/15*k**5 + 0*k**4 + 0 + 4*k**2 - 1/60*k**6 + 0*k**3 + 0*k. Solve g(l) = 0 for l.
-2, 0
Solve 1/5*t**5 - 12/5*t**2 + 0 + 9/5*t + 4/5*t**4 - 2/5*t**3 = 0.
-3, 0, 1
Let 0*h**2 - 4/7*h + 0*h**4 - 4/7*h**5 + 0 + 8/7*h**3 = 0. What is h?
-1, 0, 1
Let u(w) be the first derivative of w**6/5 + 4*w**5/25 - w**4/10 - 18. Factor u(j).
2*j**3*(j + 1)*(3*j - 1)/5
Suppose 22 + 80 = -5*t + 2*k, -k = 3*t + 59. Let j = t - -61/3. Solve -j*r**2 + 2/3 + 1/3*r = 0 for r.
-1, 2
Suppose u + 3*u - 28 = 0. Let m(v) = 9*v**2 - 2*v. Let w(y) = 5*y**2 - y. Let p(c) = u*w(c) - 4*m(c). Let p(z) = 0. Calculate z.
0, 1
Let k(o) be the second derivative of 27*o**5/80 + 5*o**4/4 + 13*o**3/8 + 3*o**2/4 + 7*o. Suppose k(n) = 0. Calculate n.
-1, -2/9
Factor -6 - 20*x**2 + 3*x**3 - 6 + 2*x**2 + 12*x + 15*x.
3*(x - 4)*(x - 1)**2
Let b(d) = 25*d**3 + 35*d**2 - 50*d - 30. Let j(z) = z**3 + z**2 - z + 1. Let m(r) = -b(r) - 10*j(r). Factor m(a).
-5*(a - 1)*(a + 2)*(7*a + 2)
Let s(r) = 7*r**2 - 9*r - 8. Let y(c) = -8*c**2 + 9*c + 7. Let f(n) = -5*s(n) - 4*y(n). Factor f(k).
-3*(k - 4)*(k + 1)
Let o(i) = -2*i - 14. Let t be o(-7). Let c(u) be the third derivative of 0*u - 1/240*u**5 - 2*u**2 + t + 0*u**3 + 1/96*u**4. Let c(j) = 0. What is j?
0, 1
Let c(x) = -x**3 + 3*x**2 + 6*x - 8. Let r be c(4). Let z(k) be the first derivative of 0*k**4 - 1 + r*k**2 - 2/5*k**5 + 0*k + 2/3*k**3. Factor z(d).
-2*d**2*(d - 1)*(d + 1)
Let g(c) be the first derivative of -21*c**5/5 + 15*c**4/4 + 16*c**3 + 6*c**2 + 64. Factor g(k).
-3*k*(k - 2)*(k + 1)*(7*k + 2)
Suppose -4*d + 7 = -1. Factor 7*c + 0*c**d - 7*c + 2*c**2.
2*c**2
Suppose -2*k = n - 10, 4*k - 8 - 8 = 0. Factor 2*h + 23 + 3*h**n + h**3 - 23.
h*(h + 1)*(h + 2)
Factor 15/4*l**2 - 9/2*l**3 - 1 + l.
-(2*l + 1)*(3*l - 2)**2/4
Let k be (-20)/(-12) + 2/(-3). Let w(y) = 5*y**3 - y**2 + 2*y - 1.