o(c).
c**2/4
Let g be (1 + -5)*(-3)/4. Factor -g + 2 + 2*u**2 - 2*u**2 + u**2.
(u - 1)*(u + 1)
Let z(v) be the second derivative of 0*v**2 + 0*v**4 + 0*v**3 + v - 1/42*v**7 + 0*v**6 + 1/20*v**5 + 0. Find j such that z(j) = 0.
-1, 0, 1
Solve -6/13*f**2 - 2/13*f + 6/13*f**4 + 4/13*f**5 + 0 - 2/13*f**3 = 0 for f.
-1, -1/2, 0, 1
Let p(r) = -r**3 + 8*r**2 - 7*r + 3. Let j be p(7). Determine h so that -2*h**3 + 2*h**3 + j*h**2 + 6*h**3 + 3*h**4 = 0.
-1, 0
Let z(b) = -b**2 - 4*b. Let r = -5 - -8. Let x(n) = -n**2. Let f(c) = r*x(c) - z(c). Factor f(q).
-2*q*(q - 2)
Factor 3*n + 9*n - 4*n + 16*n**3 + 20*n**2 + 4*n**4.
4*n*(n + 1)**2*(n + 2)
Let a = 2/233 - -456/1165. Factor -3/5*l**3 + 0*l**2 - a*l**4 + 1/5*l + 0.
-l*(l + 1)**2*(2*l - 1)/5
Let k(s) be the first derivative of s**6/2 - 3*s**5/5 + 6. Solve k(m) = 0.
0, 1
Let m be (2*(-3)/(-9))/((-73)/(-219)). Determine g so that 8/5*g**3 - 2/5*g**5 + 4/5*g**m - 6/5*g - 4/5 + 0*g**4 = 0.
-1, 1, 2
Let t = 167/114 - 5/38. Factor 4/3*y**3 + 0 + 0*y + 4/3*y**4 - t*y**5 - 4/3*y**2.
-4*y**2*(y - 1)**2*(y + 1)/3
Let u(p) be the third derivative of -p**5/150 + p**4/60 + 2*p**3/15 + 15*p**2. Suppose u(l) = 0. What is l?
-1, 2
Suppose -7*l = -3*l. Let i(v) be the second derivative of -3/20*v**5 + l + 4*v + 3/2*v**2 + v**4 - 1/10*v**6 + 1/28*v**7 - 7/4*v**3. Factor i(d).
3*(d - 1)**4*(d + 2)/2
Let z = -8 + 14. Let d(b) = -b**3 + 9*b**2 - 9*b + 1. Let c(a) = -a**3 + 10*a**2 - 10*a + 1. Let s(f) = z*c(f) - 7*d(f). Factor s(o).
(o - 1)**3
Let h(t) be the first derivative of -t**6/480 + t**4/96 + 3*t**2/2 + 6. Let s(y) be the second derivative of h(y). Factor s(l).
-l*(l - 1)*(l + 1)/4
Let p(b) be the first derivative of 6/5*b**5 - 2*b**3 - 3/2*b**2 + 3 + 0*b + 1/2*b**6 + 0*b**4. Let p(h) = 0. Calculate h.
-1, 0, 1
Let i be 2/3 + (-40)/(-30). Let 14*l**2 - 19*l**i + 1 + 6*l**2 - 2*l = 0. Calculate l.
1
Let t be (2 - (-32)/(-20)) + 0/(-2). Let o be 0 - -3 - 6/2. Factor -t*f**2 + o*f + 0.
-2*f**2/5
Let l = -25 - -25. Let 0*z**4 + 0*z - 1/5*z**3 + l*z**2 + 0 + 1/5*z**5 = 0. Calculate z.
-1, 0, 1
Suppose -4*o - 4 = -5*o. Let y be (-18)/8*-1*(-10)/(-45). Factor 3/4*q**o - 1/2*q**3 - y*q**2 - 1/4*q**5 + 3/4*q - 1/4.
-(q - 1)**4*(q + 1)/4
Suppose -4/3*p**3 - 10/3*p**2 - 8/3*p - 2/3 = 0. Calculate p.
-1, -1/2
Let g(p) = -p + 11. Let b be g(12). Let u be (b/(-10))/((-2)/(-4)). Factor 0 - u*r**2 + 1/5*r.
-r*(r - 1)/5
Let n(f) = 5*f**5 - f**4 + f**3 + f**2 - 6. Let m(r) = -5*r**5 + 2*r**4 - 2*r**3 - 2*r**2 + 7. Let q(u) = -6*m(u) - 7*n(u). Factor q(s).
-5*s**2*(s - 1)*(s + 1)**2
Let c(p) be the third derivative of -p**6/120 + p**5/15 + p**4/24 - p**3/3 + 3*p**2. Let o(a) = 1 - a**2 - 1. Let f(n) = c(n) + 2*o(n). Factor f(w).
-(w - 2)*(w - 1)*(w + 1)
Let h be (1001/(-14))/13 + 6. Find m, given that 1 - 3/2*m**2 - h*m = 0.
-1, 2/3
Suppose -8 = -3*o + 4. Let 4*n - 3*n - 3*n**3 + o*n**3 + 2*n**2 = 0. Calculate n.
-1, 0
Let g(t) be the third derivative of t**7/840 - t**5/120 + t**3/24 + 13*t**2. Factor g(b).
(b - 1)**2*(b + 1)**2/4
Let h(t) be the third derivative of 0*t**4 + 1/3*t**3 + 1/120*t**6 + 0 + t**2 + 0*t - 1/60*t**5. Let x(m) be the first derivative of h(m). Factor x(z).
z*(3*z - 2)
Let x(o) be the third derivative of 1/40*o**6 - 8*o**2 + 0*o**3 + 0 + 0*o + 0*o**4 + 0*o**5. Solve x(c) = 0 for c.
0
Determine l so that 2/9*l**2 + 4/3*l + 2 = 0.
-3
Factor -1/3*a**2 + 2/3*a + 1.
-(a - 3)*(a + 1)/3
Factor -16/11*s - 10/11*s**2 + 2/11*s**3 + 24/11.
2*(s - 6)*(s - 1)*(s + 2)/11
Let q(r) be the first derivative of r**3/3 + 2*r**2 + 3*r - 10. Let g be q(-4). Determine l, given that -16/3 - 40/3*l - 2*l**g - 28/3*l**2 = 0.
-2, -2/3
Let c be 2 - (22/(-33) - 7/(-3)). Factor -1/3*y + c*y**5 - 2/3*y**2 + 0*y**3 + 2/3*y**4 + 0.
y*(y - 1)*(y + 1)**3/3
Let g(y) be the second derivative of y**7/42 + 4*y**6/15 + 11*y**5/10 + 7*y**4/3 + 17*y**3/6 + 2*y**2 - 8*y. Suppose g(d) = 0. What is d?
-4, -1
Let b = -50 + 50. Factor 2/5*v**4 - 4/5*v**2 - 2/5*v**3 + 0 + b*v.
2*v**2*(v - 2)*(v + 1)/5
Let l(t) be the first derivative of 1/8*t**4 + 0*t - 1/24*t**6 + 0*t**5 + 1 - 1/8*t**2 + 0*t**3. Determine q, given that l(q) = 0.
-1, 0, 1
Let n(s) be the second derivative of -1/30*s**4 + 0 + 0*s**2 + 0*s**3 - 1/50*s**5 - 3*s. Factor n(c).
-2*c**2*(c + 1)/5
Let j(c) = -4*c**2 + 8*c - 13. Let l(f) = 7*f**2 - 16*f + 27. Let i(q) = -5*j(q) - 3*l(q). Factor i(s).
-(s - 4)**2
Let -6/7*g - 2/7 + 8/7*g**2 = 0. What is g?
-1/4, 1
Let z(p) be the third derivative of p**6/660 + p**5/165 + p**4/132 + 2*p**2. Find v such that z(v) = 0.
-1, 0
Let h(a) = 4*a + a**2 + 2 - 3 - 6*a. Let t be h(3). Factor -2*z**2 + 2*z**2 + z**t.
z**2
Let w(n) be the third derivative of n**8/21 - 16*n**7/105 + n**6/10 + 2*n**5/15 - n**4/6 - 11*n**2. Find s, given that w(s) = 0.
-1/2, 0, 1/2, 1
What is r in 2/7*r**2 + 0 + 4/7*r - 2/7*r**3 = 0?
-1, 0, 2
Let l(n) be the third derivative of n**6/360 + n**5/90 + 4*n**2. Factor l(w).
w**2*(w + 2)/3
Let 12/5 - 13/5*d + 1/5*d**2 = 0. What is d?
1, 12
Let m(u) = -3*u**3 - 9*u**2 - 12*u - 6. Let r(o) = -4*o**3 - 23*o + 1 - 17*o**2 - 2*o**3 - 5 - 8. Let h(d) = -7*m(d) + 3*r(d). Factor h(w).
3*(w + 1)**2*(w + 2)
Let l = -3 + 6. Factor -5*c**2 + 6*c + 6*c + l*c**3 + 15*c**2 + 2*c**2.
3*c*(c + 2)**2
Suppose -x + n + 38 = 4*x, -x + 13 = -2*n. Factor w**3 - x - 2*w**4 + 5 - w**3 + 4*w**2.
-2*(w - 1)**2*(w + 1)**2
Determine d, given that 3 - d**2 - 4 - 7*d + 0*d + 9*d = 0.
1
Let m(k) = -2*k**4 - 4*k**3 - 2*k + 2. Let o(s) = -s**3 - s**2 + 1. Let v be ((-3)/(-6))/((-1)/2). Let g = v + 0. Let j(a) = g*m(a) + 6*o(a). Factor j(l).
2*(l - 2)*(l - 1)*(l + 1)**2
Suppose w - 4 = -q - 6, 3*w + 5*q = -16. Suppose -1/3*s**4 + 0*s**2 - 1/3*s**w + 0*s + 0 = 0. Calculate s.
-1, 0
Factor 152 + 10*w - w**2 - 152 - 4*w**2.
-5*w*(w - 2)
Factor 1/4*f**2 - f - 1 + 1/4*f**3.
(f - 2)*(f + 1)*(f + 2)/4
Let v(z) = -4*z**3 - 44*z**2 - 76*z - 30. Let q(x) = -4*x**3 - 44*x**2 - 76*x - 31. Let k(i) = 6*q(i) - 5*v(i). Find f, given that k(f) = 0.
-9, -1
Suppose 0 = 3*k + 72 - 12. Let j be (-194)/k + 3/(-6). Factor -j*f**3 + 54/5*f**2 + 14/5*f**4 + 4/5 - 26/5*f.
2*(f - 1)**3*(7*f - 2)/5
Factor 169*w + 8 - 169*w - 2*w**2.
-2*(w - 2)*(w + 2)
Let y(s) be the third derivative of s**8/56 + s**7/105 - s**6/20 - s**5/30 + 2*s**2. Solve y(a) = 0.
-1, -1/3, 0, 1
Let p(o) = -24*o**3 + 48*o**2 + 135*o + 63. Let n(q) = -3*q**3 + 6*q**2 + 17*q + 8. Let g(z) = -33*n(z) + 4*p(z). Factor g(w).
3*(w - 4)*(w + 1)**2
Let a(h) be the third derivative of 5*h**8/2016 - h**7/126 - h**6/72 + h**5/18 + 5*h**4/144 - 5*h**3/18 - 5*h**2. Let a(g) = 0. What is g?
-1, 1, 2
Let j be 2/(-8) - (-117)/36. Factor -3*r - 13*r**2 + 2 + r**2 + 4 + 9*r**j.
3*(r - 1)**2*(3*r + 2)
Let f(r) be the second derivative of r**7/231 - 2*r**6/165 + r**4/33 - r**3/33 - 47*r. Factor f(i).
2*i*(i - 1)**3*(i + 1)/11
Let d be (2 + -4 + 1)*-4. Factor -1/3*t**d + 0*t**2 - 16/3*t + 16/3 + 4/3*t**3.
-(t - 2)**3*(t + 2)/3
Let p be (-5)/(-12) - 11/44. Factor 0 + 1/6*f + p*f**2.
f*(f + 1)/6
Let s = -11 + 19. Solve 56*m**3 + 18*m**4 - 14*m**2 - 16*m - 16*m + 8 - 20*m**5 + s*m = 0.
-1, 2/5, 1/2, 2
Let h = 1722/5 - 343. Let a = -43/5 + 9. Let -a*b + 0 + 7/5*b**3 - 12/5*b**4 + h*b**2 = 0. Calculate b.
-2/3, 0, 1/4, 1
Let t(b) = -b**4 - b**3 + 2*b**2 + b - 1. Let z(f) = 24*f**4 + 28*f**3 - 46*f**2 - 28*f + 22. Let k(n) = -44*t(n) - 2*z(n). Find g, given that k(g) = 0.
-3, -1, 0, 1
Let q(y) be the third derivative of y**9/30240 - y**8/13440 - y**7/5040 + y**6/1440 + y**4/24 + 2*y**2. Let j(m) be the second derivative of q(m). Factor j(z).
z*(z - 1)**2*(z + 1)/2
Find h, given that 10*h**3 - 9*h + 5 - h - 20*h**2 + 20*h**4 - 5*h**4 = 0.
-1, 1/3, 1
Let o = 4 + -1. Suppose -3*p = -12 + o, -5*k - 5 = -5*p. Let t**2 + k*t + 5 - 5 = 0. What is t?
-2, 0
Let j = 42/65 + 2/13. Factor 0*q**3 + j*q**4 - 2/5*q + 0 + 2/5*q**5 - 4/5*q**2.
2*q*(q - 1)*(q + 1)**3/5
Suppose 0 = -2*p + 4*p - 6. Let z(o) = o + 4 - 6*o**2 - 2*o + 2*o**p + 3*o - 2*o**4. Let a(r) = -r**4 + r**3 - r**2 + 1. Let k(l) = -4*a(l) + z(l). Factor k(f).
2*f*(f - 1)**2*(f + 1)
Suppose -2*p - a = -4, -2*a - 2*a = -2*p + 14. Find f such that 3/7*f**5 - 9/7*f**4 + 0*f + 0 - 3/7*f**2 + 9/7*f**p = 0.
0, 1
Suppose 15*m - 4 = 13*m. Let r(l) be the first derivative of -1 - 2/9*l**3 + 1/9*l**m - 2/45*l**5 + 