
-2*a**2*(a - 1)**2*(a + 1)/7
Let l be 2/(-5) - 12/(-30). Let y(i) be the second derivative of 0 + 2*i + l*i**2 - 1/3*i**3 + 1/10*i**5 + 0*i**4. Factor y(s).
2*s*(s - 1)*(s + 1)
Let z(t) be the first derivative of 3 + 1/3*t**2 - 4/9*t**3 + 0*t. Solve z(v) = 0 for v.
0, 1/2
Let b(l) be the first derivative of -4*l**7/1155 - 2*l**6/165 + l**5/44 - l**4/66 + 4*l**3/3 - 5. Let n(v) be the third derivative of b(v). Solve n(o) = 0.
-2, 1/4
Let t(s) = -3*s**2 + 3*s. Let l be t(2). Let k be (2/15)/((-2)/l). Factor -k*b + 2/5*b**3 + 0*b**2 + 0.
2*b*(b - 1)*(b + 1)/5
Let j be ((-3)/(-2))/(72/96). Factor 10/3*w**3 + 0 + 2*w**j - 4/3*w.
2*w*(w + 1)*(5*w - 2)/3
Suppose 0 - 5/2*k**2 - k + 7/2*k**3 = 0. Calculate k.
-2/7, 0, 1
Suppose -3*d = -0*d. Suppose 16*n - 19 - 29 = 0. Suppose -3/5*j**2 + d - 1/5*j - 2/5*j**n = 0. Calculate j.
-1, -1/2, 0
Let i = 12 - 5. Let g = i + -7. Suppose 4 - 2*d + 2*d**2 + g*d**2 - d - 3*d = 0. Calculate d.
1, 2
Let v(k) = -k**2 - 8*k + 48. Let m be v(-12). Factor -2*u - 2/3*u**2 + m.
-2*u*(u + 3)/3
Let h(w) = w**4 + 6*w**3 - w**2 - 6*w - 7. Let p(q) = -2*q**3 + 2*q + 2. Let d be (1/(-3))/(8/(-168)). Let s(z) = d*p(z) + 2*h(z). Factor s(n).
2*n*(n - 1)**2*(n + 1)
Let w(g) be the second derivative of -g**5/60 - g**4/18 + g**3/18 + g**2/3 + g. What is p in w(p) = 0?
-2, -1, 1
Solve -3/4*m**4 + 3/4*m**2 - 3/8*m + 3/2*m**3 - 9/8*m**5 + 0 = 0 for m.
-1, 0, 1/3, 1
Let j be ((-21)/12)/(3/(-12)). Suppose 7*u - 9 = 2*u - 4*x, -u - 3*x - j = 0. Determine m so that 2/7*m**2 + 2/7*m**3 + 0*m - 2/7*m**4 - 2/7*m**u + 0 = 0.
-1, 0, 1
Suppose 18 = p + q + 4*q, -p + 4*q = 9. Let a(g) be the first derivative of -2*g + 0*g**2 + 2/3*g**p + 3. Factor a(d).
2*(d - 1)*(d + 1)
Let i = 481 + -478. Factor -1/3*z**2 - 1/3*z**i + 2/3*z + 0.
-z*(z - 1)*(z + 2)/3
Let u = -2147/12 + 179. Let v(i) be the first derivative of u*i**4 - 4 + 0*i + 2/3*i**2 + 4/9*i**3. Factor v(r).
r*(r + 2)**2/3
Let s = 362 - 352. Factor 23/2*i**3 - 21*i**2 - 2*i**4 + s*i + 4.
-(i - 2)**3*(4*i + 1)/2
Let s(n) = -24*n**2 + 41*n + 11. Let h(i) = i - 32. Let y be h(15). Let r(g) = 8*g**2 - 14*g - 4. Let t(q) = y*r(q) - 6*s(q). Determine l so that t(l) = 0.
1/2
Let k(j) = -4*j**5 - 2*j**4 - 3. Let z(l) = -9*l**5 - 4*l**4 - l**3 - 7. Let q(p) = -7*k(p) + 3*z(p). Factor q(s).
s**3*(s - 1)*(s + 3)
Suppose 0 = 4044*r - 4037*r. Let d be (2/(-12))/(2/(-6)). Factor r + d*h**2 + h.
h*(h + 2)/2
Suppose -4*c = -c - 4*g + 1, 0 = -3*g - 6. Let q = -3 - c. Solve -1/4*u + 1/4*u**5 + 0 + 1/2*u**4 - 1/2*u**2 + q*u**3 = 0 for u.
-1, 0, 1
Let k be (-30)/(-4)*4/6. Let i(a) be the third derivative of 0 - 1/240*a**k - a**2 - 1/24*a**3 + 0*a - 1/48*a**4. Determine o, given that i(o) = 0.
-1
Let o(a) be the second derivative of a**7/3360 + a**6/1440 + a**3/6 - 3*a. Let i(v) be the second derivative of o(v). Factor i(t).
t**2*(t + 1)/4
Let v(r) be the first derivative of 5*r**4 + 52*r**3/3 + 22*r**2 + 12*r + 6. Let v(j) = 0. Calculate j.
-1, -3/5
Let g be 1*3*24/18. Find o, given that -g*o**3 + 3*o**3 + o**3 - o**3 = 0.
0
Let z(p) be the first derivative of 16*p + 1/5*p**5 + 0*p**4 - 8/3*p**3 + 0*p**2 - 7. Solve z(h) = 0 for h.
-2, 2
Factor 949*f**2 + 0*f - 945*f**2 + 4*f - 8.
4*(f - 1)*(f + 2)
Let u(k) be the second derivative of k**6/90 + k**5/20 + k**4/12 + k**3/18 + 8*k. Determine m, given that u(m) = 0.
-1, 0
Let s(u) = -u**2 + 13*u - 10. Let m be 46/4 + 9/18. Let l be s(m). Determine c so that 12 + 9*c + 81*c**4 + 9*c**2 - 2*c + 5*c - 90*c**l = 0.
-1, -1/3, 2/3
What is d in 3/2*d**5 - 9/2*d**4 + 0 + 3/2*d**3 - 3*d + 9/2*d**2 = 0?
-1, 0, 1, 2
Let m(a) = -6*a**3 - 6*a**2 + 5*a. Let g(f) = f**3 + f**2 - f. Let r(z) = -14*g(z) - 2*m(z). Factor r(x).
-2*x*(x - 1)*(x + 2)
Let g(r) be the second derivative of -5*r**4/6 + 2*r**3/3 - r**2/5 + 23*r. Factor g(k).
-2*(5*k - 1)**2/5
Let d = 20 + -29. Let h = -5 - d. Factor 0*o + 1/4*o**2 + 7/4*o**h - 5/4*o**3 + 0 - 3/4*o**5.
-o**2*(o - 1)**2*(3*o - 1)/4
Find a, given that -8*a**4 + 0*a**3 - 12*a**3 + 6*a - 5*a**2 + 17*a**2 + 2*a = 0.
-2, -1/2, 0, 1
Suppose 0 = -2*s - 2*s. Determine u so that -7*u**3 + 6*u + 10*u**3 + 9*u**2 + s*u = 0.
-2, -1, 0
Let j = 171 + -171. Let x(p) be the first derivative of 0*p + 1/30*p**6 - 2 - 2/15*p**3 - 3/20*p**4 + j*p**5 + 0*p**2. What is t in x(t) = 0?
-1, 0, 2
Let i = 43/105 + 4/21. Let n(a) be the first derivative of -a**2 + 3 - i*a**5 + a**3 + 1/6*a**6 + 1/4*a**4 + 0*a. Suppose n(b) = 0. Calculate b.
-1, 0, 1, 2
Let m = 40 + -36. Find v such that -2/5*v**m + 0*v - 2/5*v**2 + 0 + 4/5*v**3 = 0.
0, 1
Let j(n) be the second derivative of 0*n**3 + 3*n + 0*n**2 + 1/210*n**7 - 1/100*n**5 - 1/60*n**4 + 1/150*n**6 + 0. Factor j(a).
a**2*(a - 1)*(a + 1)**2/5
Let b(s) be the second derivative of s**5/10 + 2*s**4/3 + 5*s**3/3 + 2*s**2 - 11*s. Suppose b(o) = 0. Calculate o.
-2, -1
Let v(o) = 6*o - 4. Let z be v(3). Let y be (-60)/(-35) + 4/z. Let 20*n**4 - 7*n - 970*n**4 - 9*n + 56*n**y + 1000*n**5 + 180*n**3 = 0. Calculate n.
-1/4, 0, 2/5
Suppose 5*c + 4*i + 40 = 0, -5*c = -7*i + 2*i + 40. Let n be c/(-6)*(7 - 6). Determine l so that 4/3*l**2 + 0 + n*l**4 - 1/3*l**5 - 2*l**3 - 1/3*l = 0.
0, 1
Let p(n) be the second derivative of -n**6/180 + n**5/30 + 5*n**3/6 + 4*n. Let q(t) be the second derivative of p(t). Factor q(a).
-2*a*(a - 2)
Factor 5 - 8*f**2 - 5 + 10*f**3 + 10*f**3.
4*f**2*(5*f - 2)
Let g(z) = -12*z**2 + 61*z - 108. Let n(r) = -4*r**2 + 20*r - 36. Let c(d) = 4*g(d) - 11*n(d). Factor c(f).
-4*(f - 3)**2
Let m be (-207)/(-255) - (-2)/(-5). Let v = m + -15/119. Factor -20/7*l + v + 50/7*l**2.
2*(5*l - 1)**2/7
Factor -6*k**4 - 3*k**3 - 4*k**3 - 2*k**5 - 2*k**3 + 5*k**3.
-2*k**3*(k + 1)*(k + 2)
Let m = -17 + 19. Find f such that 2*f**5 + 11*f**3 - f**m + 3*f**2 - 5*f**3 + 6*f**4 = 0.
-1, 0
Let x(u) be the second derivative of 3*u**5/140 - u**4/28 - u**3/7 + 44*u + 2. Find g such that x(g) = 0.
-1, 0, 2
Let s(l) be the third derivative of 0 + 1/630*l**7 - 2/9*l**3 + 1/60*l**5 - 4*l**2 + 0*l + 1/90*l**6 - 1/18*l**4. Factor s(i).
(i - 1)*(i + 1)*(i + 2)**2/3
Let j = 16 + -191/12. Let d(y) be the second derivative of j*y**4 + y + 0 + 0*y**2 + 1/6*y**3. What is t in d(t) = 0?
-1, 0
Let f(w) be the second derivative of 0 + 1/16*w**4 + 4*w - 3/8*w**2 + 0*w**3. Factor f(k).
3*(k - 1)*(k + 1)/4
Suppose 4*a - 72 = 3*h, -96 = 3*h + 2*a + 2*a. Let i be (6/(-4))/(21/h). Factor -1/2*g**i - 1/2 - g.
-(g + 1)**2/2
Let p(m) be the second derivative of 0 + 1/8*m**4 - 3/2*m**2 - 5*m + 1/4*m**3. Factor p(n).
3*(n - 1)*(n + 2)/2
Let t = 2 - 5. Let c be 0 + t + 7/2. Factor 0 + 0*s**2 + c*s**5 + 0*s**4 + 0*s**3 + 0*s.
s**5/2
Factor 5*y**2 + 0 + 5/2*y**3 - 20*y.
5*y*(y - 2)*(y + 4)/2
Let q(f) be the second derivative of f**4/84 - 7*f. Factor q(a).
a**2/7
Let r(u) = -4*u**3 - 26*u**2 + 11. Let f(g) = -g**3 - 5*g**2 + 2. Let v(k) = 11*f(k) - 2*r(k). Factor v(o).
-3*o**2*(o + 1)
Let n = 25 - 18. Factor 2*l + l**2 + l**2 + 11 + 4*l - n.
2*(l + 1)*(l + 2)
Let a(z) = 5*z**3 + 5*z**2 + 3. Let g(r) = 10*r**3 + 10*r**2 + 5. Let x(y) = 5*a(y) - 3*g(y). Factor x(h).
-5*h**2*(h + 1)
Let v be (-4*(-3)/24)/((-2)/(-6)). Suppose 0 + 3/2*a + v*a**2 = 0. Calculate a.
-1, 0
Let z(j) be the third derivative of 1/90*j**5 + 1/504*j**8 + 0*j**4 + 0*j**3 + 0 + 0*j + 2*j**2 - 1/315*j**7 - 1/180*j**6. Factor z(i).
2*i**2*(i - 1)**2*(i + 1)/3
Let z(i) be the third derivative of -i**7/945 + i**6/135 - i**5/270 - i**4/18 + 23*i**2. Determine a so that z(a) = 0.
-1, 0, 2, 3
Let z(m) be the third derivative of 0 + 0*m**4 + 1/3*m**3 + 0*m + 2*m**2 - 1/10*m**5 - 1/30*m**6. Determine y, given that z(y) = 0.
-1, 1/2
Let v(k) be the third derivative of -k**8/3696 + k**7/1155 - k**6/1320 - 41*k**2. Solve v(d) = 0 for d.
0, 1
Suppose 4*h = 6*h. Suppose h*t = t. Factor -3*k + k - k**2 + t*k.
-k*(k + 2)
Let t(b) be the first derivative of 2*b**3/21 + b**2/7 + 6. Factor t(o).
2*o*(o + 1)/7
Let u(t) be the second derivative of t**6/360 + t**5/60 + t**4/24 + t**3/2 - 3*t. Let y(p) be the second derivative of u(p). Factor y(m).
(m + 1)**2
Suppose 9 = 4*q + 1. Factor -4*p**q - 4*p - 24 + 30 + 2*p**2.
-2*(p - 1)*(p + 3)
Factor -2/7*k**2 - 2/7 + 4/7*k.
-2*(k - 1)**2/7
Let m(j) be the second derivative of 0 + 3*j + 1/9*j**4 + 0*j**2 - 1/27*j**3 - 4/45*j**5. Suppose m(n) = 0. What is n?
0, 1/4, 1/2
Let h 