ve of r**4 + 32*r**3/3 - 38*r**2 + 40*r - 19. Factor v(l).
4*(l - 1)**2*(l + 10)
Suppose -4*u - 27 = 3*t + 20, 2*t + 13 = -u. Let q = 13 + u. Factor 3/4*y**3 + 0 + 0*y - 3*y**5 + 0*y**q - 9/4*y**4.
-3*y**3*(y + 1)*(4*y - 1)/4
Let y(n) be the third derivative of 5*n**2 - 1/3*n**4 + 0*n - 1/5*n**5 + 0*n**6 + 2/105*n**7 + 0 + 0*n**3. Factor y(k).
4*k*(k - 2)*(k + 1)**2
Suppose 2*h = 8*h + 3*h. Factor 0 + 2/7*g**4 + 0*g**3 - 2/7*g**5 + h*g**2 + 0*g.
-2*g**4*(g - 1)/7
Find c such that -91*c + 91*c - 2 + 2*c**2 = 0.
-1, 1
Let t(m) be the first derivative of -m**6/3 - 4*m**5/5 + m**4/2 + 4*m**3/3 + 2. Find w such that t(w) = 0.
-2, -1, 0, 1
Let g(x) = 4*x**2 - 4. Let t(k) = 5*k**2 - k - 4. Let j(o) = -6*g(o) + 5*t(o). Determine p so that j(p) = 0.
1, 4
Let n = 74 + -70. Let w(b) be the second derivative of 2/3*b**2 + 5/36*b**n - 4/9*b**3 + 0 - 4*b - 1/60*b**5. Factor w(i).
-(i - 2)**2*(i - 1)/3
Factor -10*t**3 + 0*t - 5/4*t**5 + 5*t**2 + 25/4*t**4 + 0.
-5*t**2*(t - 2)**2*(t - 1)/4
Let r be (-4)/(-16) + (-19)/(-4). Suppose 3 + 12 = r*y. Factor -v**3 - y*v**3 - 23*v**2 - 3*v + v**3 + 17*v**2.
-3*v*(v + 1)**2
Let t(a) = -a + 10. Let d = -16 - -24. Let m be t(d). Find g, given that g**m + 0 + 1/4*g**3 + g = 0.
-2, 0
Let s(w) = 10*w - 37. Let c be s(4). Factor 0 + 2/5*f**c + 2/5*f**4 + 0*f + 0*f**2.
2*f**3*(f + 1)/5
Let r(i) be the first derivative of 0*i + 0*i**2 - 11/5*i**5 - 7/2*i**4 - 5/12*i**6 - 4/3*i**3 + 2. Factor r(u).
-u**2*(u + 2)**2*(5*u + 2)/2
Let m(k) = -k**5 - 2*k**4 + k**3 + 2*k + 2. Let r(u) = 4*u**5 + 7*u**4 - 4*u**3 - 7*u - 7. Suppose 5*d = 20 + 15. Let l(x) = d*m(x) + 2*r(x). Factor l(h).
h**3*(h - 1)*(h + 1)
Let t(s) be the first derivative of 2*s**5/5 - 3*s**4/2 + 4*s**3/3 - 7. Factor t(q).
2*q**2*(q - 2)*(q - 1)
Let c(j) = -7*j**2 + 12*j - 8. Let p(q) = 6*q**2 - 12*q + 9. Let w(i) = -3*c(i) - 4*p(i). Factor w(d).
-3*(d - 2)**2
Let l = -21 - -25. Suppose 0 = h + l*h. Solve 0*i - 1/2*i**3 + h + 1/2*i**2 = 0.
0, 1
Let f(a) be the third derivative of -a**6/360 - a**5/180 + a**4/18 + 2*a**3/9 + 4*a**2. Determine m so that f(m) = 0.
-2, -1, 2
Suppose 12 = 5*n - j, 2 = 4*n - j + 4*j. Let f(b) be the first derivative of 1/12*b**3 - n + 1/4*b + 1/4*b**2. What is w in f(w) = 0?
-1
Let c = -19 - -35. Let 2*r - 16*r**3 + c*r**3 + 14*r**2 + 16*r**3 - 32*r**4 = 0. Calculate r.
-1/4, 0, 1
Let q(c) be the third derivative of 0 - 1/60*c**4 - 4/525*c**7 + 0*c - 1/840*c**8 - 2/75*c**5 + 0*c**3 - 2*c**2 - 1/50*c**6. Let q(a) = 0. What is a?
-1, 0
Let y(c) = -11*c**3 + 12*c**2 + 18*c + 13. Let a(s) = -5*s**3 + 6*s**2 + 9*s + 6. Let g(n) = -13*a(n) + 6*y(n). Factor g(r).
-r*(r + 3)**2
Suppose -11*p = -3*p - 48*p. Factor 2/3*l**2 - 4/3*l + 4/3*l**3 - 2/3*l**4 + p.
-2*l*(l - 2)*(l - 1)*(l + 1)/3
Suppose 4*u = u. Let v = 31 - 31. Factor 3/2*b + v + u*b**2 - 3/2*b**3.
-3*b*(b - 1)*(b + 1)/2
Let q be (-256)/96*((-45)/84)/1. Factor -2/7*y + 0 - 8/7*y**3 - q*y**2.
-2*y*(y + 1)*(4*y + 1)/7
Solve 0*k - 2*k**2 + 2/3*k**3 + 0 = 0.
0, 3
Suppose 5*z + 10 = -5*g, 4*g - 3*g = 2*z - 8. Let t(v) be the first derivative of -1/6*v**3 + 0*v + 4 + 1/8*v**4 + 0*v**z. Suppose t(j) = 0. Calculate j.
0, 1
Let y be ((-2)/4)/((-2)/(-28)). Let f = 23 + y. Factor -3*d + 4*d**3 + 2*d**4 - 5*d + f*d**2 - 14*d**3.
2*d*(d - 2)**2*(d - 1)
Let u(a) be the first derivative of 9*a**2 + 6 + 9/2*a**3 + 6*a. Factor u(m).
3*(3*m + 2)**2/2
Let n be (2 + -1 - 2)*3. Let w = 10 + n. Solve w + z**2 - 7 = 0 for z.
0
Suppose 5*n = 5*o - 100, -2*o - 4*n - n = -5. Suppose 0 = -0*z - 5*z + o. Find f such that -3*f**3 + 5*f**4 + 3*f**2 - f**4 + z*f - 7*f**4 = 0.
-1, 0, 1
Factor 1/4*q**2 - 1/4*q + 0.
q*(q - 1)/4
Let t be -4 - (-4 + 3)*(-5 + 9). Factor 0*i - 6/5*i**3 + 3/5*i**4 + t + 3/5*i**2.
3*i**2*(i - 1)**2/5
Let y(d) be the third derivative of d**5/60 - d**4/24 - d**3/3 - 3*d**2. Determine h, given that y(h) = 0.
-1, 2
Let t(y) be the first derivative of 0*y + 1/13*y**2 - 4/39*y**3 - 6 + 1/26*y**4. Factor t(x).
2*x*(x - 1)**2/13
Let s = 560 + -2791/5. Solve s*r**3 - 9/5*r**4 + 0 + 0*r + 3/5*r**5 - 3/5*r**2 = 0.
0, 1
Let y = 36 - 36. Solve 0*r**4 + y + 0*r**3 + 0*r - 1/2*r**5 + 0*r**2 = 0 for r.
0
Let -12*x**3 + 2 + 37*x**2 + 60*x + x**4 + 34*x**3 - 12*x**3 + 34 = 0. Calculate x.
-3, -2
Let q(n) = 8*n**5 - 17*n**4 + 15*n**3 - n**2 - 5. Let l(h) = h**5 - h**4 + h**2 - 1. Let g(r) = 5*l(r) - q(r). Suppose g(i) = 0. Calculate i.
0, 1, 2
Let i(v) be the third derivative of -v**6/900 - v**5/300 + 2*v**3/3 + 2*v**2. Let p(z) be the first derivative of i(z). Factor p(y).
-2*y*(y + 1)/5
Let x(c) be the second derivative of -3*c**6/50 + 12*c**5/25 - 7*c**4/10 - 12*c**3/5 + 27*c**2/10 - c. Determine v, given that x(v) = 0.
-1, 1/3, 3
Let w = 8 + -4. Let q(u) be the first derivative of -1/2*u**w + 2 - 9/5*u**2 + 4/5*u + 8/5*u**3. Factor q(h).
-2*(h - 1)**2*(5*h - 2)/5
Let q(u) = u**3 - u**2 + u + 1. Let b(o) = -4*o**3 + 6*o**2 - 5*o - 5. Let m(v) = -3*b(v) - 15*q(v). Factor m(z).
-3*z**2*(z + 1)
Suppose 9 = -3*v + 24. Let p(o) be the third derivative of 2*o**2 + 0*o**3 + 0 + 1/6*o**4 + 0*o + 1/30*o**v. Factor p(g).
2*g*(g + 2)
Let -4/5*o - 4/5 - 1/5*o**2 = 0. Calculate o.
-2
Suppose 3*f - 7*f = -8. Let q = 10 - 39/4. Factor -1/2*h - 1/4*h**f - q.
-(h + 1)**2/4
Suppose 0 + 3*o**2 + 9 - 18*o + 18 + 0 = 0. Calculate o.
3
Let c(o) be the second derivative of o**7/56 - 3*o**5/20 - o**4/8 + 3*o**3/8 + 3*o**2/4 - 6*o. Factor c(q).
3*(q - 2)*(q - 1)*(q + 1)**3/4
Suppose -3 = 3*n - 4*b, -4*n + 2*b = -3*b + 3. Determine d so that -3*d**3 + 5*d**3 - n*d**3 - 2*d**2 - d**3 = 0.
-1, 0
Let v(o) be the first derivative of -2*o**6/45 - o**5/30 + o**4/18 + 4*o + 1. Let k(p) be the first derivative of v(p). Factor k(u).
-2*u**2*(u + 1)*(2*u - 1)/3
Let x(t) = t**2 + 5*t + 3. Let l be x(-5). Factor 3*q**2 + 3*q**3 - 2*q**l - 2 - q**2 - q.
(q - 1)*(q + 1)*(q + 2)
Let t(a) be the third derivative of 5*a**8/8064 + a**7/504 + a**6/360 + a**5/12 + 7*a**2. Let m(f) be the third derivative of t(f). Factor m(g).
(5*g + 2)**2/2
Let x = 8 + -8. Let g(b) be the second derivative of 0*b**2 - 1/12*b**4 + x*b**3 + 0 + 1/20*b**5 + b. Factor g(a).
a**2*(a - 1)
Factor -2/5*w**4 - 4/5*w**3 + 8/5*w - 8/5 + 6/5*w**2.
-2*(w - 1)**2*(w + 2)**2/5
Let s(f) be the second derivative of f**4/12 - 7*f**3/6 + 3*f**2 - 32*f. Suppose s(h) = 0. What is h?
1, 6
Factor 116 - 48*i**3 - 124 + 52*i - 52*i**2 - 16*i**2.
-4*(i + 2)*(3*i - 1)*(4*i - 1)
Determine c so that -20/3*c + 125/3*c**3 - 50/3*c**2 + 8/3 = 0.
-2/5, 2/5
Let -6*g**2 - 13/4*g**3 - 9/4*g + 1/2 = 0. Calculate g.
-1, 2/13
Let r(h) = 6*h**3 - 18*h + 26. Let i(s) = -2*s**3 + 6*s - 9. Let c(q) = -14*i(q) - 5*r(q). Let c(t) = 0. Calculate t.
-2, 1
Find m, given that -4/13*m**3 + 4/13*m**4 + 2/13*m**5 - 8/13*m**2 + 2/13*m + 4/13 = 0.
-2, -1, 1
Let t(p) = 2*p**2 + 4*p**3 - 2*p**2 + 2*p - 1. Let j be t(1). Let j*n**4 - 3*n**4 + n + 4*n**2 + 0*n**4 + 5*n**3 = 0. Calculate n.
-1, -1/2, 0
Let y be (-33)/(-7) + 16/56. Factor -4*g**y + 2*g**3 - 6*g**3 + 3*g**3 + 5*g**5 - g**4 + g**2.
g**2*(g - 1)**2*(g + 1)
Suppose t = 3*a - 5*a + 3, a + 3 = -2*t. Let z(c) be the third derivative of 1/20*c**4 + 0*c + a*c**2 + 0 - 2/15*c**3 - 1/150*c**5. Factor z(h).
-2*(h - 2)*(h - 1)/5
Let d(o) be the first derivative of o**6/9 - 2*o**5/15 - o**4/3 + 5. What is h in d(h) = 0?
-1, 0, 2
Suppose 4*o + o - 2 = 2*a, o - 22 = -5*a. Factor -6*g**2 + g + g + 3*g**4 + 7*g**4 - a*g**4 - 2*g**3.
2*g*(g - 1)*(g + 1)*(3*g - 1)
Let k(d) be the first derivative of 3*d**5 + 5*d**4/4 - 15*d**3 + 15*d**2/2 + 10*d + 6. Factor k(x).
5*(x - 1)**2*(x + 2)*(3*x + 1)
Factor 17*a**2 - 31*a**2 + 8 - 12*a + 18*a**2.
4*(a - 2)*(a - 1)
Let g(z) be the first derivative of z**4/2 + 2*z**3 + 2*z**2 - 15. Solve g(l) = 0 for l.
-2, -1, 0
Let x(r) = 6*r**2 - 2*r - 12. Let f(b) = -b**2 + b + 1. Let o(n) = n + 4. Let p be o(-5). Let s(u) = p*x(u) - 8*f(u). Factor s(k).
2*(k - 2)*(k - 1)
Factor -12*f**3 + 68/3*f - 28*f**2 - 4.
-4*(f + 3)*(3*f - 1)**2/3
Let w = -22457/22 - -1020. Let u = -3/11 - w. What is x in -u*x**2 + 1 - 1/2*x = 0?
-2, 1
Let f(d) be the second derivative of 0 - 7*d + 1/45*d**6 + 1/6*d**4 - 1/10*d**5 + 0*d**2 - 1/9*d**3. Factor f(y).
2*y*(y - 1)**3/3
Let f(m) be the first derivative of -m**4/2 + 2*m**3/3 + m**2 - 2*m + 9. Factor f(d).
-2*(d - 1)**2