f**2 + 2/3*f**5 + 2/3 + 10/3*f**4 + s*f**3 + 10/3*f.
2*(f + 1)**5/3
Let m(l) = -16*l**4 - l**2 - 11*l - 5. Let p(v) = -3*v**4 - 2*v - 1. Let z(f) = 6*m(f) - 33*p(f). Factor z(k).
3*(k - 1)**2*(k + 1)**2
Let l(d) be the third derivative of 0*d - d**2 + 1/360*d**5 + 1/72*d**4 + 1/36*d**3 + 0. Factor l(o).
(o + 1)**2/6
Suppose -20 = 5*b - 0. Let f(i) = 3*i**4 + 8*i**3 + 11*i**2 + 11*i + 11. Let c(q) = q**4 + 3*q**3 + 4*q**2 + 4*q + 4. Let w(l) = b*f(l) + 11*c(l). Factor w(y).
-y**3*(y - 1)
Let a(c) = -16*c**4 - 20*c**3 - 16*c**2 - 12*c - 12. Let l(y) = y**4 + y**3 + y**2 + y + 1. Let z(v) = -a(v) - 12*l(v). What is t in z(t) = 0?
-1, 0
Let j(k) be the third derivative of k**7/525 + k**6/150 - k**5/150 - k**4/30 - 8*k**2. Find q, given that j(q) = 0.
-2, -1, 0, 1
Let g(c) = -c**3. Let l = 5 - 11. Let k(v) = v**2. Let p(j) = l*g(j) - 3*k(j). Factor p(o).
3*o**2*(2*o - 1)
Let r(j) be the first derivative of 0*j + 3 + 2/39*j**3 + 2/13*j**2. What is k in r(k) = 0?
-2, 0
Suppose 4*p - 8*p = -8. Let w(y) be the first derivative of -1 + 2/9*y**3 + 1/18*y**6 + 1/3*y - 1/2*y**p + 1/6*y**4 - 1/5*y**5. Factor w(t).
(t - 1)**4*(t + 1)/3
Let n = -343/5 + 69. Factor 0 - 14/5*a**2 - 2*a**4 - n*a**5 - 4/5*a - 18/5*a**3.
-2*a*(a + 1)**3*(a + 2)/5
Let y = 701/36 - 77/4. Let a = -102 + 105. Let -8/9*c**5 + 0 + 14/9*c**4 - y*c**2 + 0*c - 4/9*c**a = 0. What is c?
-1/4, 0, 1
Let s(a) = 48*a**4 + 124*a**3 + 34*a**2 - 64*a - 10. Let y(k) = 96*k**4 + 248*k**3 + 69*k**2 - 128*k - 19. Let z(l) = 13*s(l) - 6*y(l). Solve z(i) = 0 for i.
-2, -1, -1/4, 2/3
Let c(n) be the second derivative of -n**5/80 - 5*n**4/24 - 3*n**3/8 + 14*n - 1. Factor c(f).
-f*(f + 1)*(f + 9)/4
Let u(w) be the second derivative of 1/60*w**5 + 0*w**2 - 1/90*w**6 + 0 - 4*w + 1/36*w**4 - 1/18*w**3. Factor u(s).
-s*(s - 1)**2*(s + 1)/3
Suppose -19*h + 60 = -14*h. Suppose h = 2*f + f. Let 1/2*s**f + 0*s**2 + 0*s + 1/4*s**5 + 1/4*s**3 + 0 = 0. Calculate s.
-1, 0
Let r(t) be the third derivative of 5*t**8/48 - 5*t**7/42 - 3*t**6/8 + 5*t**5/12 + 5*t**4/12 + 2*t**2. Solve r(k) = 0.
-1, -2/7, 0, 1
Let n(d) = 3 - 4 - 9*d**2 + 4*d**2. Let v(b) = -b**2. Let t(c) = n(c) - 6*v(c). Determine q so that t(q) = 0.
-1, 1
Let u = -5 - -8. Let l(b) = -3*b. Let r be l(-1). Factor 3 + 8*c + r*c**2 + c + u.
3*(c + 1)*(c + 2)
Let d(t) = -t**3 - 23*t**2 + 2. Let c be d(-23). Solve 1 + 1/4*r**c - r = 0 for r.
2
Let y = -7/68 - -6/17. Factor -1/4 - y*j**2 - 1/2*j.
-(j + 1)**2/4
Let w(c) be the third derivative of c**8/4200 - c**7/6300 + c**4/8 + 2*c**2. Let j(i) be the second derivative of w(i). Factor j(x).
2*x**2*(4*x - 1)/5
Let v(m) = -m**3 + 5*m**2 - 6*m + 10. Let b be v(4). Find q such that 2*q**b - 8/3 - 2/3*q**3 + 0*q = 0.
-1, 2
Let x(v) be the third derivative of -v**5/60 - 13*v**4/24 - 5*v**3/3 + 2*v**2. Let i be x(-12). Find p, given that -2/5*p + 0 - 2/5*p**3 - 4/5*p**i = 0.
-1, 0
Factor 2*b**3 - 3 + 0*b**2 + 3*b**2 + 5 + 9*b - 6*b**3.
-(b - 2)*(b + 1)*(4*b + 1)
Let h = 83 + -411/5. Find k such that -h*k**3 + 0 + 2/5*k**2 + 2/5*k = 0.
-1/2, 0, 1
Determine b so that -6*b - 135 - 145*b - 5*b**3 - 45*b**2 + 16*b = 0.
-3
Factor -5/2*f**2 - 5/4*f**4 - 1/4 - 5/4*f - 5/2*f**3 - 1/4*f**5.
-(f + 1)**5/4
Let c = -3 + -1. Let k be 3/c - 65/(-52). Factor k*i**2 + 0 - 1/2*i.
i*(i - 1)/2
Let b(n) be the first derivative of -n**4/4 + n**3/2 + 3*n**2 - 4*n + 1. Let c(z) be the first derivative of b(z). Factor c(w).
-3*(w - 2)*(w + 1)
Let x = -38 + 37. Let w be (-22)/(-33)*x/(-2). Factor -w*g**2 + 0 + 0*g.
-g**2/3
Factor -2*t**3 + 9*t - 3*t**4 - t**5 - 9*t.
-t**3*(t + 1)*(t + 2)
Let d(x) = -4*x**2 + 6*x + 1. Let r(o) = -3*o**2 + 5*o. Let w(a) = 4*d(a) - 6*r(a). Find s such that w(s) = 0.
1, 2
Let g = 1/803218 + 222490441/759041010. Let n = g + -1/135. Suppose 0 + n*f**2 - 6/7*f**3 + 4/7*f = 0. What is f?
-2/3, 0, 1
Factor -2/11*n**2 - 2/11*n + 4/11.
-2*(n - 1)*(n + 2)/11
Let q(k) be the first derivative of 0*k**2 - 2/9*k**3 + 0*k - 1/12*k**4 + 3. Factor q(f).
-f**2*(f + 2)/3
Suppose 2/3*s**2 + 0 + 0*s = 0. What is s?
0
Let n(w) = 2*w. Let v be n(2). Let t(b) = 4*b - 4*b + 5*b**2 + 5 - 1. Let y(o) = 4*o**2 + o + 4. Let g(q) = v*y(q) - 3*t(q). Solve g(j) = 0 for j.
-2
Let m = 39 - 155/4. Let a(d) be the first derivative of -1/12*d**6 + 1/4*d**2 + m*d - 1/2*d**4 - 7/20*d**5 + 1 - 1/6*d**3. Find x, given that a(x) = 0.
-1, 1/2
Suppose -1 + 7 = 3*a. Let s(x) be the first derivative of -1/20*x**5 - 1/16*x**4 + 0*x**2 + 1/12*x**3 + 0*x - a + 1/24*x**6. Let s(n) = 0. What is n?
-1, 0, 1
Suppose l - 8 = -3*l. Factor 4 - 12*g + 12 - 4 + 3*g**l.
3*(g - 2)**2
Let b = 3 - -2. Let i(x) be the first derivative of -2/5*x**b + 0*x + 1/2*x**4 + 2/3*x**3 - x**2 + 1. Factor i(m).
-2*m*(m - 1)**2*(m + 1)
Let g(d) be the first derivative of -d**4/6 + 2*d**3/9 - 30. Determine c, given that g(c) = 0.
0, 1
Find m, given that 1/3 + 13/6*m + 2/3*m**4 + 17/6*m**3 + 4*m**2 = 0.
-2, -1, -1/4
Let b(f) be the third derivative of f**8/6720 - f**7/1260 + f**6/720 + f**4/12 - 2*f**2. Let n(x) be the second derivative of b(x). Find l such that n(l) = 0.
0, 1
Let q(o) be the third derivative of -o**8/80 - 3*o**7/70 - o**6/40 + o**5/20 + 2*o**3/3 - o**2. Let f(h) be the first derivative of q(h). Solve f(x) = 0.
-1, 0, 2/7
Let q(i) = -4*i**5 - 6*i**4 + i**3 - 3*i. Let s(h) = 17*h**5 + 25*h**4 - 5*h**3 + 13*h. Let d(a) = 26*q(a) + 6*s(a). Find y such that d(y) = 0.
-2, -1, 0
Let o(f) be the first derivative of -f**6/4 + 3*f**5/5 + 9*f**4/8 - 2*f**3 - 3*f**2 + 7. What is c in o(c) = 0?
-1, 0, 2
Let v = 29 - 9. Let z = -20 + v. Factor z - 3/5*r**3 + 3/5*r**4 + 0*r**2 + 0*r.
3*r**3*(r - 1)/5
Let x(i) be the first derivative of -i**6/30 + 3*i**5/25 - 3*i**4/20 + i**3/15 - 28. Determine u, given that x(u) = 0.
0, 1
Let k be 3 + 4 + -4 + 3. Let v(l) = l**2 - 5*l + 4. Let d(o) = 3*o**2 - 14*o + 11. Let x(i) = k*d(i) - 17*v(i). Factor x(n).
(n - 1)*(n + 2)
Let l be ((-1)/(-8))/(7/14). Let q = -47 + 189/4. Factor -1/4*m + q - l*m**2 + 1/4*m**3.
(m - 1)**2*(m + 1)/4
Let g(i) be the third derivative of i**5/60 - i**4/6 - i**3/3 + 2*i**2. Let s be g(5). Factor 0*d**s + 2/7*d**5 + 0 - 2/7*d - 4/7*d**2 + 4/7*d**4.
2*d*(d - 1)*(d + 1)**3/7
Let c(h) = h**2 + 3*h - 8. Let s be c(-5). Let y**s - 5*y**2 + 3*y**2 - 8*y**2 + 3*y**3 = 0. What is y?
0, 3
Factor 3/2*r**3 - r**2 - 7/2*r - 1.
(r - 2)*(r + 1)*(3*r + 1)/2
Let a = 115 - 2759/24. Let s(r) be the second derivative of 0*r**5 - 1/60*r**6 - r + 0*r**2 + 0*r**3 + a*r**4 + 0. Solve s(c) = 0.
-1, 0, 1
Let l be ((-32)/(-12))/((-2)/(-36)). Factor -l*t**3 - 8*t**4 - 12*t - 10*t**4 + 9*t**3 - 36*t**2 - 3*t**5.
-3*t*(t + 1)**2*(t + 2)**2
Let u(l) be the second derivative of -5*l**8/1008 - l**7/315 - l**2 - 3*l. Let t(h) be the first derivative of u(h). Solve t(m) = 0 for m.
-2/5, 0
Let s = 24 - 14. Suppose 2*u + 3*u = s. Find z such that z**5 - z**2 - u*z + z - z**2 + 2*z**4 = 0.
-1, 0, 1
Suppose 2*v - 5*k - 15 = 0, -3*k = -v - 2*k + 3. Solve 0*y + 0 - 1/2*y**3 + v*y**2 = 0.
0
Let j(x) = -x**4 - x**2 + x - 1. Let s(i) = 3*i**4 - 6*i**3 + 11*i**2 - 2*i + 2. Let g(l) = 2*j(l) + s(l). Factor g(f).
f**2*(f - 3)**2
Let t = -8 + 8. Suppose t*i - 3*i = 0. Suppose 1/2*g + 7/4*g**2 + 1/4*g**5 + 5/4*g**4 + 9/4*g**3 + i = 0. Calculate g.
-2, -1, 0
Let x(p) be the second derivative of 0*p**2 + 0*p**5 + 2/9*p**3 + 3*p + 0 - 2/63*p**7 - 2/9*p**4 + 4/45*p**6. Factor x(g).
-4*g*(g - 1)**3*(g + 1)/3
Let i(q) be the second derivative of q**7/42 - q**5/20 + 11*q. Find m such that i(m) = 0.
-1, 0, 1
Let -3*k**2 - 15*k + 3*k**3 - 5*k**2 + 19*k + k**3 = 0. Calculate k.
0, 1
Suppose -2*t + 10 = -7*t, 4*i - 18 = t. Factor -p**i + 0*p + 0 - 5/3*p**3 + 2/3*p**2.
-p**2*(p + 2)*(3*p - 1)/3
Let f(q) = -4*q**3 - 3*q + 3. Suppose -z = 5, -d + 5*z = -3*d - 19. Let w(b) = -b**3 - b + 1. Let h(t) = d*w(t) - f(t). Determine m so that h(m) = 0.
0
Let t(q) = q**2 - q + 4. Let g(z) = 2*z**2 - z + 8. Let c(p) = 6*g(p) - 14*t(p). Factor c(m).
-2*(m - 2)**2
Suppose -4*m + 2 = -6. Factor -11*t**m + 3*t**2 - 4*t - 2 + 6*t**2.
-2*(t + 1)**2
Let i(g) be the second derivative of -g**6/6 + g**5/2 + 35*g**4/12 + 10*g**3/3 - g + 2. Factor i(m).
-5*m*(m - 4)*(m + 1)**2
Suppose 3*o = 3*r - 3, -o + 1 = 2. Let u be -2 - r - 45/(-20). Factor -1/2*j + 1/4*j**3 + 0 + u*j**2.
j*(j - 1)*(j + 2)/4
Determ