**2 - 4 + 0*d. Let q(b) = 0. Calculate b.
0, 1
Let m(k) be the third derivative of k**7/315 + k**6/45 + k**5/30 - k**4/9 - 4*k**3/9 + 11*k**2. Factor m(y).
2*(y - 1)*(y + 1)*(y + 2)**2/3
Factor -6*k**5 + 7*k**5 + 0*k**5.
k**5
Let r = -24 - -28. Suppose r = -3*q + 13. Let 1/2*h**2 - 5/6*h + 5/6*h**q + 1/6 - 2/3*h**4 = 0. Calculate h.
-1, 1/4, 1
What is v in -2*v**3 + 3*v**3 - 4*v**2 + 2*v**3 - 5*v**3 = 0?
-2, 0
Let h(o) = 3*o**4 + 2*o**3 - 28*o**2 + 42*o - 17. Let d(l) = -8*l**4 - 7*l**3 + 83*l**2 - 127*l + 52. Let i(p) = -2*d(p) - 7*h(p). Factor i(c).
-5*(c - 1)**3*(c + 3)
Factor 7*b + 2*b**2 + 3 + 5 - 4*b + 5*b.
2*(b + 2)**2
Suppose 7*y - 2*y + 5*i = -125, -4*y = -i + 125. Let m be ((-6)/y)/(3/5). Factor 5/6*s**4 + 0 + 2*s**3 + 3/2*s**2 + m*s.
s*(s + 1)**2*(5*s + 2)/6
Let n(g) = -g**2 + 15*g - 12. Let i be n(14). Let z(w) be the third derivative of -1/60*w**6 + 0*w**4 + 3*w**i + 0 + 0*w**3 - 1/15*w**5 + 0*w. Factor z(c).
-2*c**2*(c + 2)
Let f(p) = -16*p + p - 9*p**2 + 3*p**2 + 3. Let n(o) = o - 1. Let j(s) = -f(s) - 6*n(s). Factor j(k).
3*(k + 1)*(2*k + 1)
Let v(g) = -8*g**5 + g**4 - 9*g**3 - 9*g - 9. Let b(s) = 2*s - 3*s**5 + 10*s**3 + 2 - 8*s**3 + 5*s**5. Let o(a) = -18*b(a) - 4*v(a). Find l such that o(l) = 0.
-1, 0
Suppose 3*g = 3*u - 21, -3*u + 2*g = -6*u + 6. Suppose 4*t - u - 4 = 0. What is w in 176/5*w**4 - 2/5*w + 0 - 64/5*w**5 - 108/5*w**3 + 5*w**t = 0?
0, 1/4, 2
Let z(u) be the third derivative of -u**2 - 1/32*u**4 - 1/30*u**5 + 11/240*u**6 + 5/1344*u**8 + 0 + 1/12*u**3 + 0*u - 3/140*u**7. Let z(j) = 0. Calculate j.
-2/5, 1
Let j(i) = -i - 4. Let n be j(-6). Let o(g) be the first derivative of -13/2*g**2 + 2 - 9/4*g**4 - 20/3*g**3 - n*g. Factor o(f).
-(f + 1)**2*(9*f + 2)
Solve 10/3*f**2 + 5/3*f**4 + 1/3 - 1/3*f**5 - 10/3*f**3 - 5/3*f = 0.
1
Let y(u) be the first derivative of u**5/60 + u**4/12 + u**3/6 - 2*u**2 + 4. Let x(k) be the second derivative of y(k). Factor x(b).
(b + 1)**2
Determine r so that -r**5 - 39*r**3 + 36*r**2 + 18*r**4 - 2*r**5 - 12*r + 11 - 11 = 0.
0, 1, 2
Solve 2*u**2 - 19*u**3 - 4*u + 21*u**3 - 4*u**2 = 0.
-1, 0, 2
Suppose 2*g - 4*g = -4. Solve 24 + 3*y**g - 3*y**3 - 24 = 0.
0, 1
Suppose 3*i + 3 = -j, j + 2*i - 5 = 3*i. Let r(w) be the second derivative of 0 - 1/8*w**2 + 1/20*w**5 - 3/16*w**4 + 1/4*w**j + w. Solve r(k) = 0.
1/4, 1
Factor -8 + 15*f**2 + 24*f - 37*f**2 + 2*f + 6*f**3 - 2*f.
2*(f - 2)*(f - 1)*(3*f - 2)
Let q(l) = -5*l**2 - 10*l + 8. Let f(s) = 30*s**2 + 60*s - 50. Let x(c) = -4*f(c) - 25*q(c). Factor x(j).
5*j*(j + 2)
Let w(j) be the first derivative of 1/3*j + 1/12*j**2 + 3 - 1/18*j**3. Let w(a) = 0. Calculate a.
-1, 2
Let w be 8/24 + ((-2)/(-6) - 0). Solve -w*m - 2/3*m**2 + 2/3*m**3 + 0 + 2/3*m**4 = 0 for m.
-1, 0, 1
Let v be 0/(-1)*-2*(-4)/32. Let g(m) be the second derivative of 1/10*m**5 + v + 1/45*m**6 + 2*m - 1/3*m**3 + 1/18*m**4 - 2/3*m**2. Find s, given that g(s) = 0.
-2, -1, 1
Let b(f) = 36*f**2 - 12*f + 3. Let l(j) = 144*j**2 - 48*j + 13. Let t(k) = 18*b(k) - 4*l(k). Factor t(s).
2*(6*s - 1)**2
Factor -3/4*z + 0 + 3/2*z**2 - 3/4*z**3.
-3*z*(z - 1)**2/4
Let r be 0/1 - (-12)/2. Solve -4*b - r + 5*b**2 + 7*b + 5*b + 2 = 0.
-2, 2/5
Suppose 0 = 13*p - 9*p - 8. Let i(f) be the third derivative of 1/18*f**3 + 0 + f**p + 1/90*f**5 + 1/24*f**4 + 0*f. Let i(b) = 0. What is b?
-1, -1/2
Factor -3/5*t**3 + 9/5*t - 6/5 + 0*t**2.
-3*(t - 1)**2*(t + 2)/5
Suppose 0 = 5*s + 2*o - 11 - 1, 0 = 5*s - 4*o - 6. Let f be 48/(-10)*s/(-8). Suppose f - 2*m + 4/5*m**2 = 0. What is m?
1, 3/2
Let a(p) be the third derivative of -p**6/720 + p**4/48 + 5*p**3/6 - 2*p**2. Let w(n) be the first derivative of a(n). Determine q, given that w(q) = 0.
-1, 1
Let k(b) be the second derivative of b**6/45 + b**5/30 - b**4/6 - 5*b**3/9 - 2*b**2/3 - 22*b. Factor k(w).
2*(w - 2)*(w + 1)**3/3
Let f(d) = -6*d**2 + d. Let g(a) = a**2 + a - 1. Let b(s) = -f(s) - 5*g(s). Determine c, given that b(c) = 0.
1, 5
Find w, given that 2/3*w**5 - 2/3*w**4 + 4/3*w**2 + 2/3*w - 2/3 - 4/3*w**3 = 0.
-1, 1
Suppose o + 0 = 1. Suppose -5 - o = 3*p + 4*c, c + 3 = 0. Solve 0*x**p - 4/3*x + 2/3*x**4 - 2/3 + 4/3*x**3 = 0 for x.
-1, 1
Let z be (0 + 4/10)/(56/70). Determine u, given that 1/2*u**5 - 1/2*u**2 + 0 - z*u**3 + 1/2*u**4 + 0*u = 0.
-1, 0, 1
Let f(i) be the second derivative of 2*i**7/63 - 8*i**6/45 + 2*i**5/5 - 4*i**4/9 + 2*i**3/9 - 7*i. Factor f(m).
4*m*(m - 1)**4/3
Let r(g) be the third derivative of -g**5/80 + g**4/8 - 3*g**3/8 + 7*g**2. Factor r(q).
-3*(q - 3)*(q - 1)/4
Let c = -3 + 14. Suppose -g + 2*g + 3*v = -11, v = -4*g + c. Factor 2 - 3*o**3 - o + 5*o**3 - 1 - o - o**g.
-(o - 1)**3*(o + 1)
Let z(g) = g**2 - g + 1. Let b(u) = 2. Let c(m) = b(m) - 2*z(m). Factor c(r).
-2*r*(r - 1)
Let r = 1436/63 + -158/7. Factor 0*a**2 + 0 + 2/9*a**3 - r*a.
2*a*(a - 1)*(a + 1)/9
Let k(m) be the first derivative of -m**3/3 + 3*m**2/2 - 11. Suppose k(q) = 0. Calculate q.
0, 3
Let 2 + 2 + 40*y + 4*y + 121*y**2 = 0. What is y?
-2/11
Let l(q) be the third derivative of -q**9/10080 + q**8/960 - q**7/240 + q**6/120 - q**5/60 - 6*q**2. Let g(t) be the third derivative of l(t). Factor g(s).
-3*(s - 2)*(s - 1)*(2*s - 1)
Suppose -4*v + 5*t = -3*v - 11, -5*t = 4*v - 44. Let w(x) = x - 1. Let l be w(5). Let 2*d + v*d**5 + 12*d**3 - 8*d**2 + 0*d - 9*d**5 - 8*d**l = 0. Calculate d.
0, 1
Let b(w) be the second derivative of 0*w**3 + 0*w**2 - 1/10*w**5 + 0*w**4 + 3*w + 0. Suppose b(h) = 0. Calculate h.
0
Let p(d) be the first derivative of d**3/2 - 3*d/2 - 11. Factor p(x).
3*(x - 1)*(x + 1)/2
Let z(a) be the third derivative of a**6/960 - a**5/480 - a**4/96 - 13*a**2. Let z(y) = 0. Calculate y.
-1, 0, 2
Let i = 1 + 1. Factor 3*g + 4*g**3 - 3*g + i*g**2.
2*g**2*(2*g + 1)
Determine c, given that 20/7*c**4 + 0*c + 32/7*c**3 + 16/7*c**2 + 4/7*c**5 + 0 = 0.
-2, -1, 0
Solve -5 + 4 - 1 + 5*x - 2*x**2 - x = 0 for x.
1
Let q = -1 + 1. Let h(t) = t**3 - 4*t**2 + 4*t - 1. Let i be h(3). Determine a, given that 0 - 1/4*a**3 + 1/4*a**i + q*a = 0.
0, 1
Let l(m) be the first derivative of 2*m**3/39 - 2*m**2/13 + 35. Factor l(y).
2*y*(y - 2)/13
Suppose 0*x - 5*x - 5 = 0. Let c be (1 - x) + 0/(-13). Find u, given that 0 + 0*u + 1/4*u**c + 1/4*u**4 - 1/2*u**3 = 0.
0, 1
Let q(z) be the third derivative of z**6/420 + z**5/70 + z**4/28 + z**3/21 + 7*z**2. Find j, given that q(j) = 0.
-1
Let v = 28/95 - -2/19. Let v - 2/5*x**2 + 0*x = 0. Calculate x.
-1, 1
Let j = 187 - 185. Factor l + 1/3 + 2/3*l**j.
(l + 1)*(2*l + 1)/3
Let k(b) be the first derivative of b**6/3 - 8*b**5/5 + 2*b**4 - 26. Factor k(j).
2*j**3*(j - 2)**2
Let v be (((-32)/(-30))/(-4))/(24/(-36)). Suppose 6/5*m**5 - v*m**3 + 0*m - 4/5*m**2 + 0 + 8/5*m**4 = 0. What is m?
-1, 0, 2/3
What is y in -6/11*y + 162/11*y**3 - 72/11*y**2 + 4/11 = 0?
-2/9, 1/3
Let f be 125/(-450)*(9/(-5) - -1). Determine n so that 0*n - 2/9*n**2 + 4/9*n**3 - f*n**4 + 0 = 0.
0, 1
Let a(g) = 2*g + 1. Let r = 7 + -6. Let j be a(r). What is z in j + 5*z - 1 - 4*z - z**2 = 0?
-1, 2
Let x be (-2)/4 + (-28)/(-40) + 0. Suppose 0*w + 0 - x*w**4 + 1/5*w**2 + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let a(n) = 8*n**2 + 4*n + 4. Let q(j) = -9*j**2 - 5*j - 5. Let p(b) = 5*a(b) + 4*q(b). Factor p(r).
4*r**2
Let u = -3 - -6. Suppose q**4 + 3*q**3 - 4*q**4 - 3*q**u - 3*q**3 = 0. Calculate q.
-1, 0
Let o(q) = -q**3 + 3*q**2 + 6*q - 5. Let x be o(4). Solve 1/2*i**2 + 0 + 1/4*i**x + 1/4*i = 0.
-1, 0
Let r = 80/21 - 22/7. Factor -r + p - 1/3*p**2.
-(p - 2)*(p - 1)/3
Let s(v) = 2*v**5 + 3*v**4 + 5*v**3 - 3*v**2 - 4*v + 3. Let j(i) = 3*i**5 + 3*i**4 + 5*i**3 - 3*i**2 - 4*i + 4. Let q(l) = -3*j(l) + 4*s(l). Factor q(x).
-x*(x - 4)*(x - 1)*(x + 1)**2
Let m = 0 + 5. Let o(x) = -10*x**3 - 49*x**2 - 56*x - 16. Let f(b) = 10*b**3 + 48*b**2 + 56*b + 16. Let j(v) = m*f(v) + 4*o(v). Let j(g) = 0. Calculate g.
-2, -2/5
Let i = 65 + -62. Let x(q) be the second derivative of -1/70*q**5 + 0 + 1/7*q**2 + 2*q + 1/21*q**i - 1/42*q**4. Solve x(o) = 0.
-1, 1
Let r(c) be the first derivative of 2*c**5/15 - 11*c**4/6 + 10*c**3 - 27*c**2 + 36*c + 17. Solve r(i) = 0 for i.
2, 3
Let g(f) be the third derivative of 0 + 0*f**3 - 1/1008*f**8 - 1/315*f**7 + 4*f**2 - 1/360*f**6 + 0*f**5 + 0*f**4 + 0*f. Suppose g(r) = 0. Calculate r.
-1, 0
Let c(a) be the second derivative of 3*a**5/20 + 9*a**4/4 + 15*a**3/2 