**3*(g - 1)**2/7
Let k(y) be the second derivative of 0 - 1/36*y**4 + 0*y**2 - 6*y + 0*y**3. Factor k(a).
-a**2/3
Suppose 0 = -5*p, s = -3*s + 2*p + 12. Determine r so that -39*r - 6*r**3 + 60*r**2 - 11*r**s - 10*r**3 + 6 = 0.
2/9, 1
Suppose 4*j - 35 = 5*m, -3*j - 2*j - 4*m = -95. Suppose -j + 4*u**3 - 2*u + 7*u**2 + 15 = 0. What is u?
-2, 0, 1/4
Let r = 10 + -5. Find i such that 2*i**5 - 3*i**r + 0*i**5 + 0*i**5 = 0.
0
Let b = 52/9 - 50/9. What is p in -2/9*p**3 - b*p + 0 + 4/9*p**2 = 0?
0, 1
Factor 5/3*x**5 + 10*x**4 + 20*x**2 + 65/3*x**3 + 20/3*x + 0.
5*x*(x + 1)**2*(x + 2)**2/3
Let y(x) be the first derivative of x**3 + 0*x - 1/3*x**2 + 2. Let y(t) = 0. Calculate t.
0, 2/9
Let p(c) be the third derivative of -3/8*c**6 + 0*c + 0*c**4 - 4*c**2 + 0*c**3 - 1/4*c**8 + 18/35*c**7 + 0 + 1/10*c**5. Factor p(v).
-3*v**2*(2*v - 1)**2*(7*v - 2)
Let j(r) be the second derivative of -r**6/120 - r**5/20 - r**4/8 - r**3/6 - 2*r. Let g(f) be the second derivative of j(f). Factor g(i).
-3*(i + 1)**2
Factor 315*s**2 + 6*s - 2*s**3 - 315*s**2 + 4.
-2*(s - 2)*(s + 1)**2
Find f, given that 5 + 2 + 3 + 5*f - 10*f**2 - 5*f**3 + 0 = 0.
-2, -1, 1
Suppose -a + 444 + 272 = -5*s, 4*s - 4*a = -576. Let v = -713/5 - s. Determine d so that 2/5*d**4 - 2/5*d**2 - v*d + 0 + 2/5*d**3 = 0.
-1, 0, 1
Let v(f) = -5*f**4 + f**3 - f**2 + 5*f + 6. Let s be ((-2)/(-4))/((-2)/24). Let d = -4 - -3. Let n(r) = r**4 - r - 1. Let x(w) = d*v(w) + s*n(w). Factor x(j).
-j*(j - 1)*(j + 1)**2
Let w = 17 - 17. Let y(j) be the third derivative of -1/42*j**7 + 1/12*j**4 + 0*j + w*j**3 + 1/48*j**8 + 0 - 3/40*j**6 + j**2 + 1/12*j**5. Factor y(s).
s*(s - 1)**2*(s + 1)*(7*s + 2)
Let q be 2/(-18)*(-3 - (-270)/96). Let l(o) be the third derivative of -1/48*o**4 - 1/840*o**7 + 0*o - 1/120*o**6 + 4*o**2 + 0 - q*o**5 + 0*o**3. Factor l(g).
-g*(g + 1)**2*(g + 2)/4
Let q = 14/15 - 8/15. Factor -2/5*t**4 + 0 - 1/5*t + q*t**2 + 1/5*t**3.
-t*(t - 1)*(t + 1)*(2*t - 1)/5
What is k in -k**4 - 3*k**3 + 3*k - 2*k**4 + 0*k**3 + 3*k**2 = 0?
-1, 0, 1
Determine y, given that 4*y**3 - 1 - y**5 - y**5 - 2*y - 36*y**2 - 2*y**4 - 1 + 40*y**2 = 0.
-1, 1
Let d(u) = -u**5 - u**2 - u + 1. Let o(n) = -n**5 - n**3 - 2*n**2 - 2*n + 2. Let g(y) = 6*d(y) - 3*o(y). Factor g(h).
-3*h**3*(h - 1)*(h + 1)
Let r(g) = -4*g**3 + 37*g**2 + 68*g - 7. Let l(j) = -3*j**3 + 36*j**2 + 69*j - 6. Let d(c) = 7*l(c) - 6*r(c). Factor d(u).
3*u*(u + 5)**2
Factor -48 - 27*t**4 - 192*t - 93*t**3 - 264*t**2 + 69*t**3 - 120*t**3.
-3*(t + 2)**2*(3*t + 2)**2
Suppose 5*t = 5*v - 20, v + 4*t + 14 = 3*v. Determine u, given that 0*u + 2*u - v + u**3 - 4*u**2 + u + u**2 = 0.
1
Let w(r) be the third derivative of r**8/1680 - r**6/150 - r**5/150 + r**4/40 + r**3/15 + 12*r**2. Solve w(j) = 0.
-1, 1, 2
Find z, given that 14*z**3 + z**2 - 6*z**3 + z**4 + 0*z**2 - 6*z**3 = 0.
-1, 0
Suppose -2*w = -0*f - 3*f + 12, -f + 5 = -w. Factor m**2 + m + m + 1 - f*m**2 - 2.
-(m - 1)**2
Let d(y) be the third derivative of -y**7/42 + y**6/6 - 5*y**5/12 + 5*y**4/12 - 6*y**2. Find z, given that d(z) = 0.
0, 1, 2
Suppose 4*n + 20 = 0, 2*n + 0*n = -4*d + 2. Suppose -d*r = -5*w - 31 + 5, -3*r - 5*w - 14 = 0. Determine g so that -1/4*g**3 - g - g**r + 0 = 0.
-2, 0
Let j(q) be the third derivative of 7*q**6/40 - q**5/3 - q**4/8 + q**3/3 + 4*q**2 + 3*q. Factor j(b).
(b - 1)*(3*b + 1)*(7*b - 2)
Solve 5 - 4*j**2 - j**3 + 1 - 7 - 1 - 5*j = 0.
-2, -1
Let z(v) be the third derivative of -v**6/280 + 3*v**5/140 - 3*v**4/56 + v**3/14 - 26*v**2. Factor z(n).
-3*(n - 1)**3/7
Let h(n) be the first derivative of -n**4/6 - n**3 - 2*n**2 - n - 2. Let k(t) be the first derivative of h(t). Factor k(w).
-2*(w + 1)*(w + 2)
Factor 0 - 2 + 0 - 1 - 12*j**2 + 15*j.
-3*(j - 1)*(4*j - 1)
Suppose 0 = g + 3*g - 12. Let p(c) = 9*c**3 - 15*c**2 - 11*c - 5. Let d(r) = -9*r**3 + 16*r**2 + 11*r + 6. Let m(j) = g*d(j) + 4*p(j). Factor m(t).
(t - 2)*(3*t + 1)**2
Let h(r) = 12*r**3 + 32*r**2 - 60*r - 80. Let o(z) = -4*z**3 - 11*z**2 + 20*z + 27. Let b(d) = 3*h(d) + 8*o(d). Suppose b(p) = 0. Calculate p.
-3, -1, 2
Let c be 62/(-217) + 1 + (-143)/210. Let t(x) be the third derivative of 1/60*x**6 + 0*x**3 + 0*x + 0 - x**2 + 1/315*x**7 + 1/36*x**4 + c*x**5. Factor t(y).
2*y*(y + 1)**3/3
Let s**3 + 5*s**4 + 3*s**2 - 8*s**4 - s**3 = 0. Calculate s.
-1, 0, 1
Let l(m) be the second derivative of 0*m**4 + 1/420*m**6 + 1/210*m**5 + 2*m + 0*m**3 + 1/2*m**2 + 0. Let t(d) be the first derivative of l(d). Factor t(z).
2*z**2*(z + 1)/7
Let l(r) = -6*r**5 + 11*r**4 - 9*r**3 - 19*r**2 + 9*r - 7. Let k(c) = -c**5 + c**4 - c**3 - c**2 - 1. Let b(h) = -21*k(h) + 3*l(h). Factor b(x).
3*x*(x - 1)**2*(x + 3)**2
Let o(c) = -c + 8. Let v be o(5). Factor t**2 + 8*t**2 + 2*t**v - 11*t**2 - 2*t + 2.
2*(t - 1)**2*(t + 1)
Suppose 5*b = 2*p + 2*b + 1, 0 = -p - 4*b + 16. Suppose 3*o + 0*o = 0. Factor 0 - 3/2*f**3 - 1/2*f**2 - 3/2*f**p + o*f - 1/2*f**5.
-f**2*(f + 1)**3/2
Let l(p) be the third derivative of -p**8/1848 - 2*p**7/1155 - 3*p**2. Factor l(y).
-2*y**4*(y + 2)/11
Let i(g) be the second derivative of g**7/15120 + g**6/4320 - g**5/360 + g**4/4 - 3*g. Let y(f) be the third derivative of i(f). Factor y(r).
(r - 1)*(r + 2)/6
Factor -p**2 + 6*p**2 - 6*p**2 + 1.
-(p - 1)*(p + 1)
Suppose -5*r = o - 23, 5*o + 4 = 4*r + 3. Let p = -6 - -8. Factor 1/2*b**p + 0*b + 1/2*b**o + 0.
b**2*(b + 1)/2
Suppose -2*d + c = 21 - 3, -18 = 2*d + 5*c. Let v be 21/d*(-3)/2. Determine p, given that -12*p**4 + v*p**2 + 5*p**3 + 0 - p = 0.
-1/2, 0, 1/4, 2/3
Let x(m) = -m**2 - m - 1. Let z = -3 + -19. Let w = 3 + -5. Let g(o) = -o**3 + 13*o**2 + 10*o + 11. Let n(i) = w*g(i) + z*x(i). Suppose n(u) = 0. Calculate u.
0, 1
Let o be 3 + 0/(-5 + 2). Let s(v) be the first derivative of 0*v**2 + 1 - 1/5*v**5 - 1/12*v**6 + 0*v + 0*v**o - 1/8*v**4. Factor s(z).
-z**3*(z + 1)**2/2
Let p(j) = -2*j + 21. Let q be p(9). Find c, given that 0 + 0*c**2 + 0*c**4 - 3/5*c**5 + 6/5*c**q - 3/5*c = 0.
-1, 0, 1
Let b(d) = d**2 + 11*d + 13. Let s be b(-10). Let t(w) be the second derivative of -4/9*w**2 + 49/90*w**5 - 8/9*w**s + w + 0 - 7/18*w**4. Factor t(i).
2*(i - 1)*(7*i + 2)**2/9
Let d(h) be the first derivative of -h**3/3 - h**2 + 3*h - 10. Let d(w) = 0. Calculate w.
-3, 1
Let b(y) be the first derivative of -2*y**3/33 - y**2/11 + 4*y/11 + 24. Let b(a) = 0. Calculate a.
-2, 1
Find g, given that -1/2 - 1/2*g**4 + 0*g + g**2 + 0*g**3 = 0.
-1, 1
Factor -1/2*y**3 + 2/3*y**2 - 1/3 + 5/6*y.
-(y - 2)*(y + 1)*(3*y - 1)/6
Factor -2*k**3 + 0*k**3 + 2*k**2 - 6*k**3.
-2*k**2*(4*k - 1)
Find s, given that -1/5 + 0*s + 1/5*s**2 = 0.
-1, 1
Let r(m) be the second derivative of -m**5/5 - 2*m**4/3 + 2*m**3/3 + 4*m**2 + 25*m. Solve r(d) = 0 for d.
-2, -1, 1
Let u(o) be the second derivative of -1/80*o**5 - 1/8*o**4 - 1/2*o**3 - 2*o - o**2 + 0. Factor u(l).
-(l + 2)**3/4
Determine a so that 27/2 - 3/4*a**3 - 3*a**2 + 9/4*a = 0.
-3, 2
Let n(o) be the third derivative of o**9/504 - o**8/120 + o**7/84 - o**6/180 - o**3 - 3*o**2. Let f(s) be the first derivative of n(s). Factor f(k).
2*k**2*(k - 1)**2*(3*k - 1)
Suppose 0 = 4*n - w - 36 + 9, 5*n = -5*w + 65. Let c be ((-18)/(-24))/(2/n). Factor 2*g**c - 4*g**2 - 5*g + 5*g + 2*g.
2*g*(g - 1)**2
Let x(t) = -t**3 + 10*t**2 - 9*t + 2. Let y be x(9). Suppose 0 = -0*d + y*d - 5*c - 20, 5*d - 12 = 3*c. Solve 0*b - 1/2*b**4 + 1/2*b**2 + d*b**3 + 0 = 0.
-1, 0, 1
Let o(d) be the first derivative of -18/7*d - 5 + 6/7*d**2 - 2/21*d**3. Factor o(v).
-2*(v - 3)**2/7
Factor -4/7*j**4 + 4/7*j**5 - 12/7*j**3 - 8/7*j + 0 + 20/7*j**2.
4*j*(j - 1)**3*(j + 2)/7
Let o(v) be the first derivative of -v**5/80 + v**4/8 - v**3/2 + v**2/2 + 6. Let t(k) be the second derivative of o(k). Determine m, given that t(m) = 0.
2
Let q(o) = o**3 + 5*o**2 + 4. Let f be q(-5). Factor 1 - 5*c**2 - 4*c + f*c**2 + 4*c.
-(c - 1)*(c + 1)
Let l = 1 - -2. Determine w so that 3*w - 2*w**3 + w**3 + 3*w**2 - l + 2*w**3 - 4*w**3 = 0.
-1, 1
Let t(n) be the third derivative of n**7/1680 - n**6/320 + n**5/480 + n**4/64 - n**3/24 - 19*n**2. Find o such that t(o) = 0.
-1, 1, 2
Let j(y) be the first derivative of 0*y - 1/2*y**2 + 7/6*y**4 - 2/3*y**3 - 49/60*y**5 + 1. Let w(h) be the second derivative of j(h). Factor w(q).
-(7*q - 2)**2
Factor 4/3*c + 2/3 + 2/3*c**2.
2*(c + 1)**2/3
Determine w so that 2/3 - 2/3*w**2 -