7*c**2.
2*c*(c - 5)*(c + 1)/7
Let g = 40 + -38. Determine d, given that 9*d**g - 16*d**3 - 17*d**2 + 48*d + 2 + 4*d**4 + 34 = 0.
-1, 3
Find w such that 1/2 + 5/2*w - 3*w**2 = 0.
-1/6, 1
Let h(g) = -8*g**3 - 12*g**2 + 22*g + 12. Let p(b) = 8*b**3 - 17*b**3 + 21*b - 11*b**2 + 0*b + 11. Let i(w) = 6*h(w) - 7*p(w). Factor i(j).
5*(j - 1)*(j + 1)*(3*j + 1)
Let r = 15 - 8. Suppose 3*z + x = r, 4*x - 4 + 0 = 0. Factor o - o**5 + o**5 - 28*o**4 + 2*o**z - o**5 + 26*o**4.
-o*(o - 1)*(o + 1)**3
Let c(a) = a**3 + 11*a**2 + 6*a - 33. Let y be c(-10). Factor -y*q**3 + 15*q**4 - 20*q**4 - 3*q**3 - 5*q**2.
-5*q**2*(q + 1)**2
Let n(g) be the first derivative of 4/3*g**3 - 36 - 2*g**2 + 0*g - 1/4*g**4. Factor n(h).
-h*(h - 2)**2
Factor 20/3*m**2 + 16/3 + 34/3*m + 2/3*m**3.
2*(m + 1)**2*(m + 8)/3
Let a(k) be the second derivative of 20*k - 1/42*k**4 - 2/21*k**3 + 4/7*k**2 + 0 + 1/140*k**5. Factor a(w).
(w - 2)**2*(w + 2)/7
Let q(g) = 4*g**3 + g + 4. Let b be q(0). Let j(o) be the second derivative of -o**3 + 3*o - 2*o**2 + 0 + 0*o**b + 1/10*o**5. Factor j(d).
2*(d - 2)*(d + 1)**2
Let v(o) be the second derivative of o**6/90 + o**5/60 - o**4/6 - 2*o**3/9 + 4*o**2/3 + 2*o + 150. Factor v(j).
(j - 2)*(j - 1)*(j + 2)**2/3
Let u = -7344/19 - -387. Let r = 37/38 - u. Factor 0*c + 1/4*c**4 + 0 + r*c**3 - 1/4*c**5 + 0*c**2.
-c**3*(c - 2)*(c + 1)/4
Let p(r) = -12*r**3 + 38*r**2 - 48*r - 55. Let t(d) = -d**3 - d**2 - 5. Let g(k) = -4*p(k) + 44*t(k). Factor g(w).
4*w*(w - 48)*(w - 1)
Let a(n) be the first derivative of 46*n + 4*n**3 - 46*n - 17 + n**4. Factor a(z).
4*z**2*(z + 3)
Suppose -8*x + 11*x + 21 = 10*x. Let -16/13*d**x - 2/13*d**4 - 12/13*d**2 - 50/13 + 80/13*d = 0. What is d?
-5, 1
Factor -3/7*y**3 - 675/7*y + 0 - 90/7*y**2.
-3*y*(y + 15)**2/7
Let q(b) be the second derivative of b**7/6 + 2*b**6/5 - 39*b**5/20 - 8*b**4/3 + 2*b**3 + 45*b. Determine m so that q(m) = 0.
-3, -1, 0, 2/7, 2
Factor -5/3*j**4 - 65/3*j**3 - 60*j + 0 - 80*j**2.
-5*j*(j + 1)*(j + 6)**2/3
Let w = -13248/7 - -43930/21. Let h = w + -199. Suppose -1 + h*y**2 - 2/3*y = 0. Calculate y.
-1, 3
Let y be (1 - 0)*0/46. Solve -1/5*x + y + 9/10*x**3 - 7/10*x**2 = 0 for x.
-2/9, 0, 1
Let x(w) be the first derivative of 2*w**3/21 - 20*w**2/7 - 219. Factor x(p).
2*p*(p - 20)/7
Let c(m) be the third derivative of -m**8/504 - m**7/945 + 12*m**2 - 5. Factor c(w).
-2*w**4*(3*w + 1)/9
Let f = 108 - 104. Let s = f + -11/3. Factor 0*g - s*g**4 + 0*g**2 - 2/3*g**3 + 0.
-g**3*(g + 2)/3
Let o(z) = z**3 + 23*z**2 - 78*z. Let x be o(-26). Let n(s) be the third derivative of 0*s + 2*s**2 + 0*s**3 + x - 1/96*s**4 - 1/240*s**5. Factor n(r).
-r*(r + 1)/4
Let w = 16 + -14. Suppose -3*j + 2*z = -20, z - w*z - 16 = -3*j. Factor 8/5*c**2 + 0 + 12/5*c**5 + 32/5*c**j + 0*c + 28/5*c**3.
4*c**2*(c + 1)**2*(3*c + 2)/5
Let j(m) = 3*m**5 - 9*m**4 - 3*m**3 + 3*m**2 - 6*m + 3. Let r(v) = -6*v**5 + 19*v**4 + 7*v**3 - 5*v**2 + 13*v - 7. Let b(n) = 7*j(n) + 3*r(n). Factor b(w).
3*w*(w - 1)**3*(w + 1)
Let q = -5615/8 + 703. Suppose 0 = -0*m - m. Factor -q*x**2 - 3/8*x**4 + 9/8*x**3 + 3/8*x + m.
-3*x*(x - 1)**3/8
Let f(u) be the third derivative of 0*u + 1/330*u**5 - 1/660*u**6 + 18*u**2 - 1/33*u**3 + 1/132*u**4 + 0. Factor f(r).
-2*(r - 1)**2*(r + 1)/11
Let f = 1/2 - 0. Let d = 284 + -282. Factor -f*y - 1/2*y**d + 1.
-(y - 1)*(y + 2)/2
Let b(a) be the first derivative of -1/4*a**3 - 3/20*a**5 - 4 + 0*a + 3/8*a**4 + 0*a**2. Factor b(n).
-3*n**2*(n - 1)**2/4
Let x be 16/80*0*1/(-4). Let u(h) be the third derivative of -10*h**2 - 1/2*h**3 + x*h + 0 - 3/16*h**4 - 1/40*h**5. Determine v so that u(v) = 0.
-2, -1
Let q(i) be the third derivative of -i**4/24 - i**3/6 + 4*i**2. Let f be q(-6). Factor u**f - 6*u**4 - 2*u**5 - u**4 + 4*u**4 - u**2 - 3*u**3.
-u**2*(u + 1)**3
Let d(p) be the first derivative of -1/42*p**4 + p + 5 - 1/7*p**3 - 2/7*p**2. Let u(q) be the first derivative of d(q). Find y, given that u(y) = 0.
-2, -1
Suppose 4*p + 8*g + 1 = 7*g, -3*p + 2*g = -2. Solve 9/4*r**5 + 0 + 1/4*r**2 + p*r + 15/4*r**4 + 7/4*r**3 = 0 for r.
-1, -1/3, 0
Suppose -3/2*o**2 + 15/2*o + 0 = 0. Calculate o.
0, 5
Factor -7/2 - 1/2*t**2 + 4*t.
-(t - 7)*(t - 1)/2
Let y = 85 + -83. Let q be (-3)/15 + 501/105. Factor 2/7 - q*v**3 + 16/7*v**y + 2*v.
-2*(v - 1)*(4*v + 1)**2/7
Suppose 9*w = 13*w - 8. Factor 0 - 2 + 30*j**w - 8*j**3 - 8*j**3 - 12*j + 0.
-2*(j - 1)**2*(8*j + 1)
Suppose 5*f = 7*f - 10. Let s = 1 + 1. Factor -29*m**5 + 8*m**f - m - m**4 + s*m**3 + m.
-m**3*(3*m + 1)*(7*m - 2)
Let r(a) be the first derivative of 2*a**3/45 + 22*a**2/15 - 32*a/5 + 62. Suppose r(x) = 0. Calculate x.
-24, 2
Let o(b) be the third derivative of 10/3*b**3 + 1/8*b**6 - 11/12*b**5 - 5/112*b**8 - 2*b**2 + 0*b**4 + 0*b + 1/6*b**7 + 0. Let o(p) = 0. What is p?
-1, -2/3, 1, 2
Let v = -2308 + 2312. Let p(b) be the first derivative of -4/5*b**5 + 0*b + 0*b**4 - v*b**2 + 1 + 4*b**3. Determine n so that p(n) = 0.
-2, 0, 1
Let l be 3/(75/20)*495/6. What is m in 5*m**4 - 42*m - 15*m**3 - 45*m**2 + l*m + 111*m = 0?
-3, 0, 3
Let w = 16 - 13. Factor 5*d**w - d**2 - 3*d**5 + 2*d**5 - d**3 - 3*d**3 + d**4.
-d**2*(d - 1)**2*(d + 1)
Let w(b) be the third derivative of -b**8/504 + b**7/270 + b**6/108 - 17*b**5/540 + b**4/36 + 60*b**2. Let w(d) = 0. What is d?
-3/2, 0, 2/3, 1
What is a in 17*a**2 - 22*a**2 - 6 + 16*a - 132*a - 17 = 0?
-23, -1/5
Let j(d) be the third derivative of 0*d + 0 + 1/30*d**6 + 9/5*d**3 + 9/10*d**4 + 1/525*d**7 + 6/25*d**5 + d**2. Factor j(y).
2*(y + 1)*(y + 3)**3/5
Let g = 888 - 886. Let w(h) be the second derivative of 3/20*h**4 - 1/50*h**6 + 2/5*h**3 - 2*h + 0 - 1/50*h**5 + 2/5*h**g. Solve w(u) = 0 for u.
-1, -2/3, 2
Let z(r) be the second derivative of -r**7/63 + r**6/45 + r**5/30 - r**4/18 - 144*r. What is c in z(c) = 0?
-1, 0, 1
Let t(p) = -p**2 + 12*p - 6. Let y = -10 + 13. Suppose 0 = -c + a + y*a + 3, -4*c + 4*a = -12. Let w(s) = 6*s - 3. Let o(l) = c*t(l) - 5*w(l). Factor o(r).
-3*(r - 1)**2
Suppose 3 = h - 0. Suppose 5*c + 2*i = 12, h*c + 2*i - 1 - 7 = 0. Let -22*t - c*t**5 - 10*t**2 + 10*t - 6 + 4*t + 14 + 10*t**3 + 2*t**4 = 0. What is t?
-2, -1, 1, 2
Let d(o) = -6*o**5 - 10*o**4 + 2*o**3 - 6*o**2 + 4*o. Let p(q) = -q**5 - q**4 + 2*q**3 - q**2 + q. Let n(w) = -d(w) + 4*p(w). What is s in n(s) = 0?
-1, 0
Suppose 0 = -5*z - f + 19, 0*f = -2*z - f + 10. Let n be 5 + (-4 + z - 2). Solve 0*x - 2*x**3 + 0 - 2/3*x**5 - n*x**4 - 2/3*x**2 = 0.
-1, 0
Let x(v) be the second derivative of v**6/10 - 39*v**5/20 + 19*v**4/4 + 33*v**3/2 + v - 6. Determine o, given that x(o) = 0.
-1, 0, 3, 11
Let b(l) = -13*l**4 + 13*l**2 + 9*l + 9. Let j(y) = -6*y**4 + 6*y**2 + 4*y + 4. Let a(t) = 4*b(t) - 9*j(t). Factor a(n).
2*n**2*(n - 1)*(n + 1)
Let w = -3708 - -3711. Suppose -6*y = -y. Factor y - 98/5*i**4 - 16/5*i - 28*i**w + 104/5*i**2.
-2*i*(i + 2)*(7*i - 2)**2/5
Let t = 692 - 688. Let w(l) be the second derivative of 0 - 1/2*l**t + 9*l + 1/2*l**3 + 3/2*l**2. Factor w(p).
-3*(p - 1)*(2*p + 1)
Let n(y) = 3*y**2 + 2*y - 2. Suppose -4*p + 2*g = 5*g + 4, 12 = -2*p - 4*g. Let f be n(p). Solve 6*c**3 - 14*c - 4*c + f*c + 2*c**4 - 2 - 2*c**3 = 0 for c.
-1, 1
Let j(f) be the first derivative of -f**4/4 + 2*f**3/3 + 2*f**2 - 8*f - 170. Factor j(n).
-(n - 2)**2*(n + 2)
Let a(w) = 33*w - 63. Let g be a(2). Let k(r) be the second derivative of -7*r - 2/51*r**g + 0 + 1/102*r**4 + 1/17*r**2. Factor k(l).
2*(l - 1)**2/17
Let z = -198356/9 - -22040. Solve 0 - z*c - 2/9*c**3 + 2/3*c**2 = 0 for c.
0, 1, 2
Let z = 2/455 - 327/455. Let k = z - -1. Suppose -4/7*x**3 + 0*x**2 + 2/7*x + k*x**5 + 0 + 0*x**4 = 0. Calculate x.
-1, 0, 1
Let m = -14 - 0. Let q(j) = -j**2 - 14*j. Let g be q(m). Suppose g + 0*v**2 - 2/3*v**3 + 2/3*v = 0. Calculate v.
-1, 0, 1
Suppose -5*d + 5 + 5 = 0, 0 = -3*k + 4*d + 28. Suppose -6 = 2*h - k. Factor -4*p**2 - 1 - h + 12*p**2 - 4*p**4.
-4*(p - 1)**2*(p + 1)**2
Let d = -19 + 29. Suppose 5 = -r + d. Find i, given that -2*i**5 - 2*i**4 + i**r + 2*i**2 + i**5 - i**5 + i = 0.
-1, 0, 1
Let i(y) be the third derivative of -1/504*y**8 + 0*y + 0 + 11*y**2 + 1/30*y**6 + 0*y**3 + 2/45*y**5 - 2/9*y**4 - 1/315*y**7. Solve i(c) = 0.
-2, 0, 1, 2
What is y in 45/2 + 39/2*y - 9/2*y**2 - 3/2*y**3 = 0?
-5, -1, 3
Suppose 0 + 1/7*c**4 - 37/7*c - 73/7*c**2 - 5*c**3 = 0. Calculate c.
-1, 0, 37
Let 