**3 + 3*i**2 + n*i**5. Solve v(p) = 0 for p.
-1, 1, 2
Factor -2/15*t**5 - 6/5*t**2 + 0*t + 0 - 2/5*t**3 + 2/3*t**4.
-2*t**2*(t - 3)**2*(t + 1)/15
Let f(l) be the third derivative of 32*l**7/105 - 4*l**6/5 + l**5/15 + l**4 + 2*l**3/3 + 17*l**2. Solve f(s) = 0 for s.
-1/4, 1
Let z(k) = 9*k**5 - 24*k**4 + 8*k**3 + 24*k**2 - 17. Let b(c) = c**5 - 3*c**4 + c**3 + 3*c**2 - 2. Let s(a) = -51*b(a) + 6*z(a). Factor s(h).
3*h**2*(h - 1)*(h + 1)*(h + 3)
Let a = 6 - 3. Suppose -a*h - 18 = -6*h - 4*o, 0 = 5*h - o - 7. Let 8/5*l**h + 2/5*l - 6/5*l**3 - 4/5 = 0. Calculate l.
-2/3, 1
Let z(n) be the first derivative of n**8/2240 - n**7/1120 - n**6/480 + n**5/160 + 4*n**3/3 - 6. Let a(l) be the third derivative of z(l). Factor a(i).
3*i*(i - 1)**2*(i + 1)/4
Let c be (12 - 4) + -12 + 6. Find z such that 3/7*z - 3/7*z**c + 0 = 0.
0, 1
Let o(h) be the first derivative of -5*h**6/6 - 51*h**5 - 4335*h**4/4 - 24565*h**3/3 + 51. Factor o(u).
-5*u**2*(u + 17)**3
Determine f, given that 0 - 1/7*f**2 - 1/7*f**3 + 0*f = 0.
-1, 0
Factor 3 + 5/2*z - 1/2*z**2.
-(z - 6)*(z + 1)/2
Let u(o) = -15*o**3 + 21*o**2 - 12*o - 6. Let r(h) = -h**3 + h**2 - h - 1. Let q = -6 + 0. Let c(i) = q*r(i) + u(i). Factor c(w).
-3*w*(w - 1)*(3*w - 2)
Let t(a) = a - 6. Let v be t(8). Let m(l) = 17*l**4 + 3 - 18*l**4 - v - l. Let z(x) = -3*x**4 + 3*x**3 - 6*x + 6. Let w(s) = -6*m(s) + z(s). Factor w(g).
3*g**3*(g + 1)
Suppose 3*i + 4 = 4*t, i - 2*t = 2*t - 12. Suppose 0 = -2*h + i. Factor 4*v**2 - 7 + 6*v + 9 - 3*v**h - 3*v.
(v + 1)*(v + 2)
Suppose 2 = -4*s - 6. Let q be s*1/(1/(-2)). What is r in 5/4*r**3 - 3/4*r**q + 1/2 + 1/4*r**2 - 5/4*r = 0?
-1, 2/3, 1
Factor 3/4*v**2 + 5/4*v**3 + 0 - 9/4*v + 1/4*v**4.
v*(v - 1)*(v + 3)**2/4
Let y(q) = q**2 - 14*q + 2. Let u(b) = 5*b - 1. Let l(s) = -17*u(s) - 6*y(s). Let l(v) = 0. What is v?
-1, 5/6
Factor -5 - 3*c + 3*c**3 - 1 + 6.
3*c*(c - 1)*(c + 1)
Let m be 4/6 - 1/(-3). Let f(i) = 2*i**3 + i**2 - 2*i + 1. Let k be f(m). Determine g so that 2/5*g - 2/5*g**3 + 0 + 0*g**k = 0.
-1, 0, 1
Suppose -2/5*s**4 + 0*s - 2/5*s**2 - 4/5*s**3 + 0 = 0. Calculate s.
-1, 0
Let i(l) be the third derivative of l**6/60 + 8*l**5/15 + 16*l**4/3 - 20*l**2. Factor i(b).
2*b*(b + 8)**2
Factor 2/7 - 8/7*k**3 - 8/7*k + 2/7*k**4 + 12/7*k**2.
2*(k - 1)**4/7
Suppose -1/8*l**3 + 1/4 - 5/8*l + 1/2*l**2 = 0. What is l?
1, 2
Suppose 2*q - 2 = 2*t - t, 4*t + q = 10. Find a, given that 2/13*a**4 - 4/13 + 2/13*a**t - 6/13*a + 6/13*a**3 = 0.
-2, -1, 1
Let w(z) be the third derivative of z**6/840 + z**5/420 + 11*z**2. Factor w(t).
t**2*(t + 1)/7
Suppose z - 6*z = 2*q + 33, 36 = -5*q + 3*z. Let m = q + 13. Factor -2*i**m + 0*i**2 + i**4 - 5*i**2 + 4*i**3 + 2*i.
-i*(i - 2)*(i - 1)**2
Let k = 55/3 + -269/15. Factor -k*m**4 + 6/5*m**2 + 0 - 4/5*m + 0*m**3.
-2*m*(m - 1)**2*(m + 2)/5
Let p = 43 + -41. Let t(c) be the third derivative of 0*c + 0*c**4 + 0*c**3 + 1/30*c**5 + 1/40*c**6 - c**p + 0. Factor t(d).
d**2*(3*d + 2)
Let d(u) = u + 1. Let l be d(-5). Let x be 2/12*l*-6. Factor 2 + x*q**2 - 3*q**2 + 2*q**2 - q**2 - 4*q.
2*(q - 1)**2
Factor 0 + 2/5*b - 2/15*b**2.
-2*b*(b - 3)/15
Let q(a) = -2*a**4 + 4*a**2 + 3. Let p(r) = -r**4 + 2*r**2 + 1. Suppose 2*d - 75 = -3*d. Let l(j) = d*p(j) - 6*q(j). Factor l(b).
-3*(b - 1)**2*(b + 1)**2
Suppose 3*w - 57 = -21. Let k be ((-8)/(-70))/(w/42). Factor 0*q + 2/5*q**2 - k.
2*(q - 1)*(q + 1)/5
Let w be 1 - (2 + 1 - 3). Let u(p) be the first derivative of 0*p - w - 1/4*p**4 + 1/3*p**3 - 1/5*p**5 + 1/2*p**2. Factor u(h).
-h*(h - 1)*(h + 1)**2
Let b be 2 - (-3 - -4 - 1). Suppose b*a = 6 + 2. Solve 1/2*i**5 + 0 - i**3 + 1/2*i + 3/4*i**2 - 3/4*i**a = 0.
-1, -1/2, 0, 1, 2
Let b(u) be the third derivative of -u**9/30240 + u**8/5040 - 3*u**5/20 - 9*u**2. Let v(r) be the third derivative of b(r). Factor v(i).
-2*i**2*(i - 2)
Let o(n) = -2*n + 3. Let a be o(5). Let u(g) = -g**2 - 6*g + 7. Let i be u(a). Suppose 2/3*m + 1/3*m**3 + i + m**2 = 0. Calculate m.
-2, -1, 0
Suppose -86/9*b**2 - 2/3 - 8/3*b**3 - 44/9*b = 0. What is b?
-3, -1/3, -1/4
Let t(i) be the third derivative of i**8/504 - i**6/180 + i**2. Factor t(z).
2*z**3*(z - 1)*(z + 1)/3
Let h(s) be the first derivative of s**8/4200 - s**7/700 + s**6/300 - s**5/300 + s**3/3 + 2. Let n(a) be the third derivative of h(a). Solve n(f) = 0.
0, 1
Let w(q) be the second derivative of q**5/16 + q**4/4 + 3*q**3/8 + q**2/4 + 28*q. Factor w(g).
(g + 1)**2*(5*g + 2)/4
Let k(c) = -2*c**3 + 2*c - 1. Let s be k(1). Let l be -1 + 0/s + 1. Factor -3/4*b**5 + l*b**2 + b**4 + 0 - 1/4*b**3 + 0*b.
-b**3*(b - 1)*(3*b - 1)/4
Factor 2/5*v**3 + 0 + 2/5*v**2 - 12/5*v.
2*v*(v - 2)*(v + 3)/5
Factor -7*m**3 - 8*m + 18*m**2 + 2*m**2 - m**3.
-4*m*(m - 2)*(2*m - 1)
Suppose 4*r - 16 = 2*v, 3*r = 2*r + 4. Let n(p) be the second derivative of 2/27*p**3 + 1/54*p**4 + v + p + 1/9*p**2. What is b in n(b) = 0?
-1
Let p(o) = -o**3 + 4*o**2 + 6*o - 1. Let y be p(5). Factor -3*j**y + 12*j**2 + 8*j + 4*j**4 + 8*j**3 + 2*j**4 - j**4 + 2.
2*(j + 1)**4
Let d = 38/9 + -32/9. Factor 1/3*n - 1/3*n**2 + d.
-(n - 2)*(n + 1)/3
Let a(x) = x**3 - 6*x**2 - 11*x + 3. Let w(y) = -y**3 + 5*y**2 + 10*y - 2. Let s(l) = -6*a(l) - 7*w(l). Factor s(g).
(g - 2)*(g + 1)*(g + 2)
Factor -1/3*v**4 - 2/3*v**2 + 0 + 0*v + v**3.
-v**2*(v - 2)*(v - 1)/3
Let z be -20 - -16 - (-10 + 3). Factor 0 - 12/7*p**2 - 8/7*p - 4/7*p**z.
-4*p*(p + 1)*(p + 2)/7
Let s = 99 + -91. Let m(u) be the third derivative of 0 + 0*u**3 + 0*u**4 + 0*u**7 - 1/360*u**6 + 0*u**5 + 1/1008*u**s - 2*u**2 + 0*u. Factor m(p).
p**3*(p - 1)*(p + 1)/3
Let f = 1113/5540 + -1/1108. What is r in 0*r**2 + 0 - 1/5*r - f*r**5 + 0*r**4 + 2/5*r**3 = 0?
-1, 0, 1
Let b(r) be the third derivative of -r**7/7560 - r**6/1080 - 7*r**4/24 - 5*r**2. Let c(i) be the second derivative of b(i). Find n, given that c(n) = 0.
-2, 0
Let x(k) = k + 7. Let y be x(-3). Let 3/4 - 33/4*d**3 - 27/4*d**2 - 3*d**y - 3/4*d = 0. Calculate d.
-1, 1/4
Let r(x) be the second derivative of -4*x + 1/8*x**5 + 1/12*x**3 + 0 - 1/3*x**4 + 1/2*x**2. Let r(l) = 0. Calculate l.
-2/5, 1
Suppose 5*f = 6 + 19. Let m(n) be the second derivative of 0 + 2*n - 7/24*n**3 + 11/48*n**4 + 1/8*n**2 - 1/16*n**f. Find p such that m(p) = 0.
1/5, 1
Let m be 8/3 + 2/6. Factor 12*w**2 - w**3 + m*w**4 - 6*w**2 + 10*w**3.
3*w**2*(w + 1)*(w + 2)
Let j = 182563/80 - 2282. Let t(d) be the second derivative of -1/24*d**3 + 1/120*d**6 - j*d**5 + 0 + 1/16*d**4 + 0*d**2 + 2*d. Suppose t(v) = 0. What is v?
0, 1
Let d(g) = -g + 5. Let m(r) = -r**3 + 3*r**2 + 5*r + 1. Let k be m(4). Let t be d(k). Factor 2/3*u**4 + t - 2/3*u + 2/3*u**3 - 2/3*u**2.
2*u*(u - 1)*(u + 1)**2/3
Suppose 2*m - 4*m - r = 50, 4*m - 4*r = -88. Let n = 49/2 + m. Suppose 1/2*u**2 - n - 1/2*u**3 + 1/2*u = 0. What is u?
-1, 1
Let o be -5 - 6/(1 + -3). Let k be -3*o/6*2. Find q such that -1/2*q**3 + 0 + 7/4*q**4 - 1/4*q**k - q**5 + 0*q = 0.
-1/4, 0, 1
Let r(t) be the second derivative of -1/3*t**4 + 0*t**3 + 0 + 2*t**2 - t. Let h(i) = 3*i**2 - 3. Let j(a) = -3*h(a) - 2*r(a). Factor j(z).
-(z - 1)*(z + 1)
Suppose 5*x - 5*y + 25 = 0, -43 = 5*x - 0*y + y. Let r be 5/1 + x + 5. Suppose -2*p**2 + 4*p**2 - r + 0*p**2 = 0. What is p?
-1, 1
Let v be (-42)/7*1/2. Let w be 6 + (-1 - 2) + v. Find p, given that 1/5*p**2 + 1/5*p + w = 0.
-1, 0
Suppose n + 2*d + 3*d + 6 = 0, -4*d + 18 = -3*n. Let t(f) = -5*f**2 + 6*f + 5. Let x(s) = 4*s**2 - 5*s - 4. Let p(v) = n*x(v) - 5*t(v). Factor p(o).
(o - 1)*(o + 1)
Factor 2/7*u**4 + 12/7*u**2 + 16/7*u**3 - 2 - 16/7*u.
2*(u - 1)*(u + 1)**2*(u + 7)/7
Factor -2*l**3 + 3*l - l + 14 - 12 - 2*l**2.
-2*(l - 1)*(l + 1)**2
Let r be (4/(-10))/((-1)/5). Suppose -x - 2*x = -9. Let 4*z**x + 0*z - 3*z - 3*z**3 + r = 0. Calculate z.
-2, 1
Let u(r) be the third derivative of -1/8*r**4 - 2*r**2 + 0 + 0*r + 1/60*r**5 + 0*r**3. Factor u(h).
h*(h - 3)
Factor 1/6*y**4 - 1/6*y + 1/6*y**3 + 0 - 1/6*y**2.
y*(y - 1)*(y + 1)**2/6
Let o(r) = r**3 - 3*r**2 - r - 3. Let n be o(3). Let l be (n/4)/(11/(-22)). Factor -12*q + 8*q + 7*q - q**l + 2.
-(q - 2)*(q + 1)**2
Let l = -3 + 2. Let u(s) = 3*s**5 - 2*s**4 + s**3 + 2*s**2 - 2*s. Let n(t) = -t**5 - t**2 + t. Let k(a) = l*u(a) - 2*n(a). Factor k(w).
-w**3*(w - 1)**2
Let t(i) be the second derivative of i**7/2 - 37*i**6/10 + 219*i**5/20 - 67*i**4/4 + 14*i**3 - 6*i**2 + 20*i. Facto