u + 1. Let g(v) = -11*v**3 - v + 3. Let n(r) = g(r) - 3*q(r). Factor n(z).
-z*(z + 1)*(z + 2)*(3*z - 1)
Let j(l) be the third derivative of l**6/40 - l**5/30 - 7*l**4/24 - l**3/3 - 7*l**2. Factor j(f).
(f - 2)*(f + 1)*(3*f + 1)
Let n(d) = 4*d + d - 2*d**2 + 10 - 3*d**2 + d**3 - 5. Let w(b) = b**3 - 4*b**2 + 4*b + 4. Let g(s) = 5*n(s) - 6*w(s). Factor g(v).
-(v - 1)*(v + 1)**2
Suppose -s = -2 - 1. Suppose 5*p**3 - 12*p + 2*p**s + 2*p**3 - 7*p**2 - 5*p**2 = 0. Calculate p.
-2/3, 0, 2
Let r(b) be the third derivative of -b**5/50 - b**4/12 - 2*b**3/15 - 9*b**2. Factor r(a).
-2*(a + 1)*(3*a + 2)/5
Let n(z) be the second derivative of z**6/15 - 2*z**5/5 + 2*z**4/3 + z. Suppose n(i) = 0. Calculate i.
0, 2
Let x = -10 - -7. Let l be ((-5)/(-10))/(x/(-4)). Factor -1/3*c**4 + 0*c - l*c**3 + 0 - 1/3*c**2.
-c**2*(c + 1)**2/3
Let p(s) be the first derivative of -s**7/21 + s**6/15 + s**5/5 - s**4/3 - s**3/3 + s**2 + 3*s - 1. Let h(y) be the first derivative of p(y). Factor h(t).
-2*(t - 1)**3*(t + 1)**2
Let w(y) be the third derivative of y**7/70 - y**5/10 + y**3/2 + 6*y**2. Factor w(p).
3*(p - 1)**2*(p + 1)**2
Let y be (-46)/(-120) - (-2)/(-6). Let k(j) be the second derivative of 0*j**3 + y*j**5 - 2*j + 0*j**4 + 0*j**2 + 1/42*j**7 + 0 + 1/15*j**6. Factor k(n).
n**3*(n + 1)**2
Let q(z) be the second derivative of 0*z**2 + 1/8*z**4 + 0 + 0*z**3 - 4*z + 1/20*z**6 + 3/20*z**5. Factor q(j).
3*j**2*(j + 1)**2/2
Let c(f) = -4*f + 5. Let z be c(8). Let q = -79/3 - z. Factor -8/3 - 8/3*v - q*v**2.
-2*(v + 2)**2/3
Let a = 4 + -8. Let j = -1 - a. Let 3*o**2 + 49*o - 49*o + 3*o**j = 0. Calculate o.
-1, 0
Let g(d) be the first derivative of -d**4/2 - 14*d**3/3 + 17*d**2 - 18*d - 70. Let g(u) = 0. What is u?
-9, 1
Suppose 50 = 3*h + 2*h. Let -h*v**4 - v + v**5 + 8*v**4 + 0*v**5 + 2*v**2 = 0. What is v?
-1, 0, 1
Let x(p) be the first derivative of 8*p**6/39 + 28*p**5/65 + 3*p**4/26 - 8*p**3/39 - p**2/13 - 1. Suppose x(y) = 0. What is y?
-1, -1/4, 0, 1/2
Let w = -2 + 2. Factor w + 7/2*p**3 - 9/2*p**2 + p.
p*(p - 1)*(7*p - 2)/2
Let j(o) be the third derivative of -o**5/20 + o**4/12 - o**3/18 - 16*o**2. Factor j(g).
-(3*g - 1)**2/3
Find t, given that -38*t**2 - 6*t + 4 + 16*t**2 + 24*t**2 = 0.
1, 2
Factor -6*v**2 - 6*v**2 + 5*v**2 - 8 - 9*v**2 + 4*v**3 + 20*v.
4*(v - 2)*(v - 1)**2
Factor -15*r + 36*r - 17*r - 8*r**2 + 8 + 3*r**3 - 7*r**3.
-4*(r - 1)*(r + 1)*(r + 2)
Let h(a) be the second derivative of 5/18*a**4 + 0 + 2/9*a**3 + 0*a**2 - 4*a. What is n in h(n) = 0?
-2/5, 0
What is n in 4*n - 3*n**2 - 10*n + 12*n - 3*n**3 = 0?
-2, 0, 1
Let x = 116 - 576/5. Factor -2/5*g**4 - 4/5*g + 2/5 + x*g**3 + 0*g**2.
-2*(g - 1)**3*(g + 1)/5
Let a(n) = -2*n**2 + 2*n + 2. Let r(j) = 2*j**2 - 3*j - 3. Let p(k) = 3*a(k) + 2*r(k). Solve p(i) = 0.
0
Let a(q) be the second derivative of 0 - q**2 + 0*q**3 + 1/48*q**4 + q - 1/240*q**5. Let s(y) be the first derivative of a(y). Determine z, given that s(z) = 0.
0, 2
Let l be 8/3 + 14/(-21). Let u(t) be the third derivative of 1/40*t**4 - 1/300*t**5 - t**l + 0*t - 1/15*t**3 + 0. Factor u(n).
-(n - 2)*(n - 1)/5
Let s(o) be the third derivative of -1/60*o**5 - 2*o**2 + 0 + 0*o + 0*o**4 + 0*o**3. Factor s(k).
-k**2
Let s(n) = -3*n**3 - 7*n. Let m(g) = -5*g**3 - 11*g. Let p(z) = -5*m(z) + 8*s(z). Suppose p(w) = 0. What is w?
-1, 0, 1
Let i(b) be the third derivative of -1/540*b**6 + 1/27*b**3 + 5*b**2 + 0 - 1/270*b**5 + 0*b + 1/108*b**4. Determine u so that i(u) = 0.
-1, 1
Solve -k**3 + 0*k**3 + 8*k**2 + 2 + 3*k - 2*k**3 - 19*k**2 + 9*k**4 = 0 for k.
-1, -1/3, 2/3, 1
Let 0 - 2/17*c**3 + 0*c + 2/17*c**2 = 0. What is c?
0, 1
Let r = 2090/7 + -298. Solve -2/7*q**2 - r*q - 2/7 = 0 for q.
-1
Let q(m) be the first derivative of m**5/5 + m**4/4 - m**2/2 + m - 3. Let s(a) = -3*a**4 - 3*a**3 + 6*a - 6. Let i(p) = 6*q(p) + s(p). Factor i(r).
3*r**3*(r + 1)
Let i(t) be the third derivative of t**8/84 + 4*t**7/105 - t**6/10 - 8*t**5/15 - 2*t**4/3 + 23*t**2. Let i(g) = 0. What is g?
-2, -1, 0, 2
Let l(d) = -d**2 + 3*d + 6. Let r(s) = -s**2 + 3*s + 5. Let m be -3 + 1/1 + -3. Let u(i) = m*l(i) + 6*r(i). Factor u(k).
-k*(k - 3)
Let s(n) be the second derivative of -n**4/12 - 2*n**3 - 18*n**2 - 28*n. Find x, given that s(x) = 0.
-6
Factor -2/5 + 1/5*g**5 + 4/5*g**3 + 4/5*g**4 - g - 2/5*g**2.
(g - 1)*(g + 1)**3*(g + 2)/5
Let j = 303/5 + -60. Determine x so that 9/5*x**5 + 0 - j*x**3 + 0*x - 6/5*x**4 + 0*x**2 = 0.
-1/3, 0, 1
Let a(j) = -11*j**2. Let r(c) = 6*c**2. Let l = -8 - -1. Let o(s) = l*r(s) - 4*a(s). Factor o(d).
2*d**2
Let x(s) be the second derivative of s**4/48 - s**3/8 - s**2/2 - 4*s - 1. Solve x(u) = 0.
-1, 4
Factor -1/7*d**2 + 0 - 2/7*d + 2/7*d**3 + 1/7*d**4.
d*(d - 1)*(d + 1)*(d + 2)/7
Let b be (3/2)/(15/30). Let j(c) be the third derivative of -1/12*c**4 + 1/6*c**b - c**2 + 0 + 0*c + 1/60*c**5. Determine x, given that j(x) = 0.
1
Let k be 27/4 - 6/8. Let n(o) = -o**3 + o. Let c(v) = v**4 - 7*v**3 - v**2 + 7*v. Let u(m) = k*n(m) - c(m). Factor u(a).
-a*(a - 1)**2*(a + 1)
Determine u, given that 20/13*u**2 + 2/13*u**3 + 0 + 0*u = 0.
-10, 0
Let f(x) be the third derivative of -x**7/70 + 9*x**6/40 - 3*x**5/4 - 25*x**4/8 + 31*x**2 + x. Solve f(i) = 0.
-1, 0, 5
Let t = -10 + 12. Find i, given that -4*i - 12 - i**t - 14 + 22 = 0.
-2
Let z(v) be the second derivative of v**4/12 - v**3/3 + v**2/2 - 25*v. Factor z(q).
(q - 1)**2
Let 0 + 0*p - 4/5*p**2 - 2/5*p**3 = 0. What is p?
-2, 0
Factor 1/5 + 1/5*y**2 + 2/5*y.
(y + 1)**2/5
Let c = 34 + -34. Factor c*n + 0 + 6/5*n**3 + 6/5*n**4 + 2/5*n**2 + 2/5*n**5.
2*n**2*(n + 1)**3/5
Let j(d) be the second derivative of -d**6/10 + 3*d**5/20 + 3*d**4/4 - d**3/2 - 3*d**2 + 12*d. Factor j(n).
-3*(n - 2)*(n - 1)*(n + 1)**2
Let f(v) be the first derivative of -4*v**5/5 + 11. Factor f(l).
-4*l**4
Let k(i) be the first derivative of -i**6/10 + 9*i**5/25 - 3*i**4/20 - 3*i**3/5 + 3*i**2/5 - 41. Suppose k(q) = 0. What is q?
-1, 0, 1, 2
Suppose 2*r + 2 = -3*q, 0*q - 4*q = -4*r + 36. Let i be (-4)/(20/17) - q. Let 27/5*j**2 + 6/5 - 3*j**3 + i*j**4 - 21/5*j = 0. What is j?
1, 2
Let b(g) = g**5 + g**4 + g**3 - g - 1. Let c(i) = 10*i**5 + 30*i**4 + 58*i**3 + 48*i**2 + 10*i - 6. Let s(o) = 6*b(o) - c(o). Let s(p) = 0. What is p?
-2, -1, 0
Let y(a) be the third derivative of a**7/350 + a**6/25 + 21*a**5/100 + 9*a**4/20 - 34*a**2. Factor y(s).
3*s*(s + 2)*(s + 3)**2/5
Factor 0*n + 0*n**2 + 1/2*n**3 + 0 + 1/4*n**5 + 3/4*n**4.
n**3*(n + 1)*(n + 2)/4
Factor -12/5 + 2*s + 2/5*s**2.
2*(s - 1)*(s + 6)/5
Let u = 4/1589 + 5890/4767. Let h = u - 1/14. Let 1/3*n**4 - 1/3*n**3 - h*n - 4/3*n**2 - 1/3 + 1/6*n**5 = 0. What is n?
-1, 2
Let h(k) be the first derivative of k**4 + 16*k**3/3 + 10*k**2 + 8*k - 29. Factor h(w).
4*(w + 1)**2*(w + 2)
Let d be (-14)/(-6) + (-1 - 1). Let f(h) be the first derivative of d*h**3 + h - h**2 - 1. Find t such that f(t) = 0.
1
Let d(w) be the third derivative of -w**9/22680 - w**8/5040 - w**7/3780 - w**4/24 + w**2. Let j(x) be the second derivative of d(x). Factor j(v).
-2*v**2*(v + 1)**2/3
Let f = -24 + 24. Let i(r) be the second derivative of 4/15*r**3 + 2*r + 4/15*r**4 + 0 - 11/50*r**5 - 1/5*r**6 + f*r**2. Let i(t) = 0. What is t?
-1, -2/5, 0, 2/3
Let b(j) be the third derivative of -j**8/2520 + j**6/900 + 22*j**2 - j. Factor b(d).
-2*d**3*(d - 1)*(d + 1)/15
Let -108*n - 400 - 58*n - 4*n**2 + 86*n = 0. What is n?
-10
Let h(m) be the third derivative of -m**6/240 - m**5/30 - 5*m**4/48 - m**3/6 - 37*m**2. Suppose h(t) = 0. What is t?
-2, -1
Let l be 0/(-4)*(-1 - 0). Let z(u) be the second derivative of 1/7*u**2 + 4*u + l + 1/14*u**4 + 1/7*u**3 + 1/70*u**5. Factor z(f).
2*(f + 1)**3/7
Solve -8/5*p - 6/5*p**2 + 8/5 + 4/5*p**3 + 2/5*p**4 = 0.
-2, 1
Let w(t) = 8*t**2 - 3*t - 3. Let y(l) = 4*l**2 + 2 - 7*l**2 - l + 3*l - 4*l**2. Let q(r) = 6*w(r) + 7*y(r). Suppose q(z) = 0. What is z?
-2
Let t be ((-3)/(-2))/((-15)/(-50)). Factor -t*g + 4*g**2 - 6*g + 3*g - 6*g**2 - 8.
-2*(g + 2)**2
Let q be ((-4)/8*1)/(2/(-16)). Find z, given that 0*z**2 - 2/5*z**q - 4/5*z**3 + 4/5*z + 2/5 = 0.
-1, 1
Let l(s) be the second derivative of s**7/42 - s**6/30 - 3*s. Factor l(t).
t**4*(t - 1)
Let z(w) = 5*w**4 - 11*w**3 + 11*w**2 - 5*w. Let h(y) = -2*y**4 + 4*y**3 - 4*y**2 + 2*y. Let m(q) = -8*h(q) - 3*z(q). Factor m(x).
x*(x - 1)*(x + 1)**2
Fa