w**5. Solve a(i) = 0 for i.
-1, 1/3, 2
Factor 4*b**3 - 19*b**3 - 5*b + 0*b**3 - 5*b**2 + 5*b**4 + 20*b**2.
5*b*(b - 1)**3
Let q(n) be the first derivative of 2 + 1/360*n**6 - 1/72*n**4 + 1/9*n**3 - 1/90*n**5 + 0*n - n**2. Let i(f) be the second derivative of q(f). Factor i(y).
(y - 2)*(y - 1)*(y + 1)/3
Suppose 3*x = 7*x - 16. Factor 0*r**3 + 0*r - 2/5*r**x + 2/5*r**2 + 0.
-2*r**2*(r - 1)*(r + 1)/5
Let a(s) = 15*s**4 + 66*s**3 + 96*s**2 - 90*s. Let v(l) = -l**4 - l. Let y(c) = -a(c) - 6*v(c). Factor y(u).
-3*u*(u + 4)**2*(3*u - 2)
Let k(v) = v - 2. Let t be k(3). Let f(o) = o**2. Let j(i) = -2*i**2 - i. Let b(z) = t*j(z) - 2*f(z). Suppose b(q) = 0. What is q?
-1/4, 0
Suppose 2*g = 5*v - 3*g - 30, -5*v + 24 = g. Let i(j) = 2*j**2 + 7*j - 9. Let k(x) = -x**2 - 3*x + 4. Let n(a) = v*k(a) + 2*i(a). Factor n(s).
-(s - 1)*(s + 2)
Let o = -1 + 4. Factor -n**o - 11*n**4 - 7*n**3 + n**3 - n**2 - n**4.
-n**2*(3*n + 1)*(4*n + 1)
Let v(j) = j**3 - 1. Let n(l) = -7*l**2 + 6*l + 3. Let o(t) = n(t) + v(t). Let y be o(6). Factor 2/3 + 1/3*s - 1/3*s**y.
-(s - 2)*(s + 1)/3
Let c(q) be the second derivative of -q**5/35 + 2*q**4/7 - 6*q**3/7 + 8*q**2/7 - 5*q. Factor c(o).
-4*(o - 4)*(o - 1)**2/7
Let z be 3/(-4) + 234/120. Suppose 3/5*j**2 - 3/5*j - z = 0. Calculate j.
-1, 2
Let d = 5 + -16. Let f = d - -23/2. Factor 0*r - 1/4*r**4 + f*r**3 + 0 - 1/4*r**2.
-r**2*(r - 1)**2/4
Let f(y) = 3*y - 7 + 0*y - 4*y**2 - 4*y. Let n(w) = 1. Let h = -4 - -1. Let c(o) = h*f(o) - 21*n(o). Suppose c(s) = 0. Calculate s.
-1/4, 0
Let w = 6 + -6. Suppose w = 5*y - 0*y - 30. Factor 0*f**3 + y*f**5 + 3*f**4 - 3*f**2 - 7*f**3 - f**5 + 2*f.
f*(f - 1)*(f + 1)**2*(5*f - 2)
Let l = 4 + -1. Find z such that -z**4 - z**5 + z**2 + 8 + z**l - 8 = 0.
-1, 0, 1
Let v(w) = w**2 + 1. Let a(r) = 36*r**4 - 51*r**3 - 50*r**2 + 8*r + 1. Let d(f) = a(f) + 3*v(f). Find l, given that d(l) = 0.
-2/3, -1/4, 1/3, 2
Let k = 2 - 6. Let s(z) = -z**2 - 3*z + 4. Let q be s(k). Factor 4*l**3 - 2*l**5 - l - l + q*l**5.
-2*l*(l - 1)**2*(l + 1)**2
Suppose -73*q + 69*q + 24 = 0. Factor -2*f**3 - 4 - 8*f - q*f**2 - 1/4*f**4.
-(f + 2)**4/4
Factor 3*n**3 + 7*n**3 - 20 - 60*n + 3*n**4 + 9*n**4 + 3*n**4 - 45*n**2.
5*(n - 2)*(n + 1)**2*(3*n + 2)
Factor 2*q**3 - 28*q - 3*q**3 + 26*q - 3*q**2.
-q*(q + 1)*(q + 2)
Find a, given that -7/2*a**3 + 5/2*a**2 + 3/2*a**4 - 1/2*a + 0 = 0.
0, 1/3, 1
Let x(d) = d - 1. Let p be x(3). Factor c**4 - 7*c**p + 2*c**3 + 3*c**2 + 2*c**2 + 3*c**2.
c**2*(c + 1)**2
Let c(y) = -5*y**2 - 4*y - 5. Let j(n) = -6*n**2 - 5*n - 6. Let k = 18 + -12. Let f(p) = k*j(p) - 7*c(p). Factor f(z).
-(z + 1)**2
Let t(k) = -11*k**3 + k**2 - 6. Let g(v) = v**3 - v**2 + 1. Let s(h) = 6*g(h) + t(h). Suppose s(x) = 0. What is x?
-1, 0
Let i = 0 - 0. Suppose 2*u - 26 = 4*r, -19 = -4*u - 3*r - i*r. Factor -4*f**3 - 2*f + 2 - 2*f**4 + u*f - f.
-2*(f - 1)*(f + 1)**3
Factor -4*n**2 - 18*n + 36 + 36*n + n**2 + 15*n.
-3*(n - 12)*(n + 1)
Let a = 6 + -2. Let s = 28/3 - 9. Factor 1/3*h**2 + 0*h + 0 + s*h**5 + h**3 + h**a.
h**2*(h + 1)**3/3
Let c be -4 - (2 + (-3 - 0)). Let j be 4/(-12) - 10/c. Determine o, given that o**j - o - 7*o + 2*o - 2 - 3*o**3 - 6*o**2 = 0.
-1
Let g(v) be the first derivative of 3*v**4/20 + 3*v**3 + 45*v**2/2 + 75*v + 6. Solve g(h) = 0 for h.
-5
Let o(z) be the second derivative of 0*z**5 + 0*z**2 + 0 + 1/6*z**3 - 1/42*z**7 + z - 1/6*z**4 + 1/15*z**6. Factor o(c).
-c*(c - 1)**3*(c + 1)
Let u(n) = n**5 + n**4 + n - 1. Let w(c) = 5*c**5 + 26*c**4 + 66*c**3 + 72*c**2 + 29*c - 2. Let m(b) = 2*u(b) - w(b). Factor m(g).
-3*g*(g + 1)**2*(g + 3)**2
Let l(u) be the third derivative of -2*u**5/45 + u**4/4 - 2*u**3/9 - 2*u**2 + 3*u. Let l(r) = 0. Calculate r.
1/4, 2
Find a such that 5/2*a**3 - 1/2*a**5 - 2*a - a**4 - 4 + 5*a**2 = 0.
-2, -1, 1, 2
Let a(p) = p**4 - p**3 - 1. Let v(n) = 6*n**4 - 27*n**3 + 21*n**2 + 12*n - 9. Let o(l) = 3*a(l) + v(l). Determine c so that o(c) = 0.
-2/3, 1, 2
Let v = -22 - -25. Suppose 2*u = 3*m - 17, 4*m - 5*u = v*m + 23. Solve 0 + 0*l + 1/2*l**m + 0*l**2 + 1/2*l**4 = 0.
-1, 0
Let a(j) be the third derivative of -j**5/15 + j**4/24 - 8*j**2. Factor a(n).
-n*(4*n - 1)
Let i(x) = -7*x**2 - 64*x - 48. Let a(p) = 2*p**2 + 16*p + 12. Let d(m) = 9*a(m) + 2*i(m). Factor d(j).
4*(j + 1)*(j + 3)
Let p(q) = -6*q - 2 - 2*q + 3*q + 4*q. Let a be p(-4). Suppose -1/4*w + 0 + 1/2*w**a - 1/4*w**3 = 0. Calculate w.
0, 1
Let c(v) = v**3 - v**2 - v. Let r(m) = m - 2 - 7*m**3 + m + 11*m**3 - 7*m**2. Let j(x) = -6*c(x) + 2*r(x). Factor j(a).
2*(a - 2)*(a - 1)**2
Let -3*b**2 - 12*b + 4*b + 4 + 8*b - b**3 = 0. What is b?
-2, 1
Let l(c) be the first derivative of -c**4 - 16*c**3/3 - 10*c**2 - 8*c + 16. Factor l(i).
-4*(i + 1)**2*(i + 2)
Factor 0 - 18/7*i**3 - 3/7*i + 12/7*i**2 - 3/7*i**5 + 12/7*i**4.
-3*i*(i - 1)**4/7
Let w(a) be the first derivative of -3*a**4/32 + a**3/8 + 3*a**2/16 - 3*a/8 + 19. Factor w(j).
-3*(j - 1)**2*(j + 1)/8
Let b(p) be the third derivative of -p**5/36 + 5*p**4/72 - 7*p**2. Factor b(g).
-5*g*(g - 1)/3
Let y(k) = k**3 - 6*k**2 + 2*k - 8. Let s be (15/(-20))/(2/(-16)). Let n be y(s). Let f**5 + 2*f**5 + 6*f**2 - 3*f**n + 2*f**4 - 5*f**4 - 3*f = 0. Calculate f.
-1, 0, 1
Let v(k) be the first derivative of 2*k**3/3 - 2*k - 7. Determine q so that v(q) = 0.
-1, 1
Factor 6/7*r**4 - 6/7*r + 2/7*r**5 - 4/7*r**2 + 4/7*r**3 - 2/7.
2*(r - 1)*(r + 1)**4/7
Factor 1/3*l**5 + 0 + 0*l + 2/3*l**4 + 0*l**2 + 1/3*l**3.
l**3*(l + 1)**2/3
Suppose -5*y - 20 = -0*y + 3*d, -5*y - 5*d - 20 = 0. Let u be y/8*(-6)/1. Factor 0*s + 0 + 2/5*s**4 + 0*s**u - 2/5*s**2.
2*s**2*(s - 1)*(s + 1)/5
Let l be -3 - -2*1/(-2). Let y be (-17)/(-35) - l/(-20). Determine f, given that -2/7 + y*f**2 + 2/7*f**3 - 2/7*f = 0.
-1, 1
Let u = 119 + -829/7. Find d such that -6/7*d**4 - 10/7*d**3 + 6/7*d - u + 10/7*d**2 + 4/7*d**5 = 0.
-1, 1/2, 1, 2
Let u(w) be the first derivative of -w**3 - 9*w**2/2 - 6*w - 3. Factor u(j).
-3*(j + 1)*(j + 2)
Let k be 63/15 + -3 + 1 - 2. Solve -1/5*a**3 - 1/5 + k*a**2 + 1/5*a = 0.
-1, 1
Let d be (-2)/(-8) + (-231)/28. Let o be 2/d - 525/(-180). Factor -c**2 - 4/3 + o*c.
-(c - 2)*(3*c - 2)/3
Let o(i) be the third derivative of -3*i**6/40 - 29*i**5/20 - 21*i**4/4 - 8*i**3 + 8*i**2. Determine u, given that o(u) = 0.
-8, -1, -2/3
Factor 8/5 + 6/5*y**2 - 3*y + 1/5*y**3.
(y - 1)**2*(y + 8)/5
Let d = 27/65 - 1/65. Let f(m) = 6*m + 164. Let l be f(-27). Find y such that d*y**l + 2/5*y + 0 = 0.
-1, 0
Let q(u) be the second derivative of -u**6/40 + u**5/10 + u**4/8 - u**3/3 - 3*u**2/8 - 2*u. Suppose q(f) = 0. Calculate f.
-1, -1/3, 1, 3
Suppose 3*o - 18 = 3*n, -8 = -54*o + 52*o + n. Let -2/9*y**5 + 0 - 2/9*y**3 - 2/3*y**4 + 4/9*y + 2/3*y**o = 0. What is y?
-2, -1, 0, 1
What is y in -8/3*y - 1 + 0*y**3 + 1/3*y**4 - 2*y**2 = 0?
-1, 3
Let g = 7 - 5. Let a be (-1 + 7/3)*3. Factor p**3 - p + p**a + 0*p**2 - 3*p**2 + g*p**2.
p*(p - 1)*(p + 1)**2
Let s be (19/(-38))/((-1)/6). Find k, given that -1/3*k**s + 0 + 4/3*k**2 - 4/3*k = 0.
0, 2
Let q(r) be the third derivative of r**6/180 + r**5/15 + r**4/4 + r**3/3 + 3*r**2. Let k(t) be the first derivative of q(t). Factor k(m).
2*(m + 1)*(m + 3)
Suppose -3*z = -7*z. Let g(k) be the first derivative of 0*k + 1/6*k**6 + z*k**3 + 0*k**5 - 2 + 0*k**2 - 1/4*k**4. Determine j so that g(j) = 0.
-1, 0, 1
Suppose -4*i + 22 = -2*p, i + 4*p + 4 = -4. Let 3*q + 0*q**3 + q**3 + q**3 - i*q**2 - q = 0. What is q?
0, 1
Find i such that -12*i - 11 - 10*i**2 + 7*i**2 + 2 = 0.
-3, -1
Factor 0 + 1/5*t**3 + 1/5*t**2 + 0*t.
t**2*(t + 1)/5
Let i(z) be the first derivative of -z**4/16 - z**3/6 - 9. Solve i(k) = 0 for k.
-2, 0
Let 0 - c**2 + 1/6*c**3 + 0*c = 0. Calculate c.
0, 6
Let m(w) = -w + 7. Let y be -2*1/2 - -6. Let a be m(y). Let 0*f**a + 1/4*f - 3/4*f**5 + 0 - 3/2*f**3 - 2*f**4 = 0. What is f?
-1, 0, 1/3
Suppose 0 = -4*v - 5*u + 2, 0 = 3*v - 4*u + 2*u - 13. Let a be 4/6*v/5. Solve 4/5*q**2 + 4/5*q**3 + a*q**5 - 6/5*q - 6/5*q**4 + 2/5 = 0.
-1, 1
Suppose 4*s = -4*a, -5*s - 6 = a - 2. Let n = a - -1. Factor 1/2*z**n + 1/2 + z.
(z + 1)**2/2
Factor x**5 + x**2 + 6*x**4 + 3*x**2 - 2*x**2 + x**5 + 6*x**3.
2*x**2*(x + 1)**3
Let o(g) = g**3 + 25*g**2 + 47*g + 23. Let z be o(-23). Let z + 1/2*d**2 + 0*d + 1/2*d**4 + d**3 = 0. What is d?
-1, 0
Let p(s) be the second derivative of s**6/45 - 3*s**5/40 