**3 - 2*a + 5/4*a**4 + 3/4*a**5 + 0 - 5*a**2 = 0.
-2, -1, -2/3, 0, 2
Factor -4/3*c + 0 + 2/9*c**3 + 2/9*c**2.
2*c*(c - 2)*(c + 3)/9
Let y = 60 + -60. Let n(s) be the second derivative of -1/6*s**3 + y + 5/36*s**4 - 1/3*s**2 + s. Factor n(i).
(i - 1)*(5*i + 2)/3
Suppose -25*m = 17*m. Factor 1/4*j - 1/2*j**3 + 0*j**2 + 0*j**4 + 1/4*j**5 + m.
j*(j - 1)**2*(j + 1)**2/4
Factor -55*a**3 + 46*a**3 - 23*a**3 - 20*a**4 - 16*a**2 - 4*a**5.
-4*a**2*(a + 1)*(a + 2)**2
Let g be (2 - 1) + 1 + 0. Factor -r + 2*r**g - 3*r + 0*r.
2*r*(r - 2)
Let a be 4/(-2*(-1)/((-6)/(-15))). Find w such that 14/5*w**4 + a*w - 4/5*w**3 - 14/5*w**2 + 0 = 0.
-1, 0, 2/7, 1
What is d in 35/11*d**5 + 68/11*d + 69/11*d**2 - 103/11*d**3 - 81/11*d**4 + 12/11 = 0?
-1, -2/5, -2/7, 1, 3
Let u(p) = -12*p**4 + 7*p**3 + 32*p**2 + 19*p + 3. Let s(i) = -24*i**4 + 15*i**3 + 64*i**2 + 39*i + 7. Let x(k) = 3*s(k) - 7*u(k). Factor x(r).
4*r*(r - 2)*(r + 1)*(3*r + 2)
Let j(r) = 3*r + 3. Let c(p) = -p**2 + 5*p + 6. Let q(f) = 3*c(f) - 7*j(f). Factor q(a).
-3*(a + 1)**2
Let v(d) = d**4 + 2*d - 2 + 3*d**4 - 2*d**2 - 6*d**3 + 0*d. Suppose 0*p = 5*p + 5. Let t(j) = j**4 - j**3 - j - 1. Let b(m) = p*v(m) + 2*t(m). Factor b(c).
-2*c*(c - 2)*(c - 1)*(c + 1)
Find q such that 24*q**3 - 12*q**2 - 4*q**4 - 36*q**3 - 2*q - 2*q = 0.
-1, 0
Let d(p) be the third derivative of p**8/1680 + p**7/210 + p**6/72 + p**5/60 + p**3/6 + p**2. Let y(b) be the first derivative of d(b). Factor y(q).
q*(q + 1)**2*(q + 2)
Let v = -6 + 8. Let b(j) = -j**2 + 1. Let o(s) = 4*s**4 + 3*s**3 - 16*s**2 + 2*s + 7. Let c(r) = v*o(r) - 14*b(r). Suppose c(u) = 0. What is u?
-2, 0, 1/4, 1
Let g be 2 + 10/(-5) - 4. Let n = g + 14/3. Factor u + 1/3*u**2 + n.
(u + 1)*(u + 2)/3
Let h be 4/16*18*2. Factor -h*p + 3*p**2 + 7 - 8 - 11.
3*(p - 4)*(p + 1)
Let t be -1 - -3 - (1 + -4). Suppose 2/3*k**4 - 2/3*k**2 - 1/3*k**t + 0*k**3 + 0 + 1/3*k = 0. What is k?
-1, 0, 1
Let m(i) be the third derivative of -i**6/360 - i**5/90 + 5*i**4/72 + i**3/3 - 31*i**2. Suppose m(s) = 0. Calculate s.
-3, -1, 2
Let y(x) be the first derivative of x**3/6 + 3*x**2/2 + 34. Let y(v) = 0. Calculate v.
-6, 0
Let 42*l + 6 + 39/2*l**2 = 0. What is l?
-2, -2/13
Let a(s) be the first derivative of -s**7/735 + s**6/210 - s**5/210 - 2*s**2 - 3. Let o(m) be the second derivative of a(m). Factor o(h).
-2*h**2*(h - 1)**2/7
Let r be ((-4)/8)/((-1)/8). Suppose -r*j + 22 = 2. Factor 0*a + 0*a**4 - 1/2*a**3 + 1/2*a**j + 0*a**2 + 0.
a**3*(a - 1)*(a + 1)/2
Factor 9*q**2 - 15 - 16*q**3 + 3 + 19*q**3.
3*(q - 1)*(q + 2)**2
Suppose -4*i - i = 3*v + 6, v + 5*i + 12 = 0. Determine f, given that -10/3*f - 2*f**v - 2/3 - 14/3*f**2 = 0.
-1, -1/3
Let u be (-2)/(-4)*(2 - -2). Let -1/2*w + 0 - 1/4*w**u = 0. What is w?
-2, 0
Let g = 7 - 7. Let n(i) be the second derivative of 0*i**3 + i - 2/5*i**6 + 3/20*i**5 + g + 1/6*i**7 + 0*i**2 + 1/6*i**4. Factor n(v).
v**2*(v - 1)**2*(7*v + 2)
Let z(t) be the third derivative of 4/735*t**7 + 1/105*t**5 + 1/1176*t**8 + 0*t + 0*t**3 + 0*t**4 + 2*t**2 + 0 + 1/84*t**6. Factor z(v).
2*v**2*(v + 1)**2*(v + 2)/7
Suppose 0*p**2 + 2/7*p**3 - 2/7*p + 0 = 0. Calculate p.
-1, 0, 1
Let i(h) be the second derivative of -2*h + 0*h**4 + 2/15*h**6 - 1/20*h**5 + 0 + 0*h**3 + 0*h**2. Find f such that i(f) = 0.
0, 1/4
Let w(z) = 0*z + 2*z**5 - 3*z**4 - 3*z + 3*z**2 + 5*z. Let u(s) = -4*s**5 + 7*s**4 - s**3 - 7*s**2 - 5*s. Let h(g) = 2*u(g) + 5*w(g). Solve h(m) = 0.
-1, 0, 1/2, 1
Let y(g) be the first derivative of 2*g + 1/21*g**3 + 0*g**2 - 3 + 1/42*g**4. Let h(f) be the first derivative of y(f). Factor h(r).
2*r*(r + 1)/7
Let y = 5/24 + -1/8. Let a(i) be the first derivative of i + 1/2*i**2 + y*i**3 - 1. Factor a(j).
(j + 2)**2/4
Suppose 0 = 5*t - 2*t - g + 38, -t - g = 6. Let p(y) = -y**2 - 10*y + 13. Let u be p(t). Solve l - 4*l**2 - 5*l**2 + u*l - 10*l**3 - 5*l - 3*l**4 = 0 for l.
-2, -1, -1/3, 0
Let w = 21 + -14. Suppose -w = -2*c + 3. Let i(x) = -x**3 + 4*x**2 - 9*x + 1. Let u(m) = -m**3 + 2*m**2 - 5*m + 1. Let s(h) = c*u(h) - 3*i(h). Factor s(b).
-2*(b - 1)*(b + 1)**2
Factor -3/2*a**3 - 9*a**2 - 33/2*a - 9.
-3*(a + 1)*(a + 2)*(a + 3)/2
Let t(u) be the third derivative of 0*u**3 - 2*u**2 + 1/36*u**5 + 1/36*u**4 + 0*u - 1/1008*u**8 + 1/120*u**6 + 0 - 1/630*u**7. Factor t(k).
-k*(k - 2)*(k + 1)**3/3
Let l(f) be the first derivative of -f**7/21 + 2*f**6/15 - f**5/10 - 3*f - 2. Let u(g) be the first derivative of l(g). Determine d, given that u(d) = 0.
0, 1
Let d(w) be the second derivative of 5*w**7/42 + 17*w**6/30 + 21*w**5/20 + 11*w**4/12 + w**3/3 + 4*w. Let d(i) = 0. Calculate i.
-1, -2/5, 0
Suppose 12 = 6*o - 2*o. Let n be (-2)/(-5) + o/30. Factor -w**3 + 0 - n*w + 1/4*w**4 + 5/4*w**2.
w*(w - 2)*(w - 1)**2/4
Let w(k) be the second derivative of k**7/2 + 17*k**6/15 - 69*k**5/20 - 67*k**4/6 - 10*k**3 - 4*k**2 + 14*k. Determine v, given that w(v) = 0.
-2, -1, -1/3, -2/7, 2
Let g = 15153019/90 + -168365. Let j = -5/18 + g. Factor -j*d**3 - 2/5 - 12/5*d**2 - 2/5*d**4 - 8/5*d.
-2*(d + 1)**4/5
Let j = -4 - -7. Factor -2*z**2 - z + 5*z**4 - 4*z**4 + 0*z**2 + z**j + z**2.
z*(z - 1)*(z + 1)**2
Suppose -n + 6 = 26. Let v be 2 - 4/n*-3. Factor -v*g - 1/5*g**4 - g**3 - 9/5*g**2 - 2/5.
-(g + 1)**3*(g + 2)/5
Let a(f) = -f - 7. Let c be a(-7). Let m(t) = t + 8. Let d be m(-6). Solve 8*p + c - 8*p**d + 2*p**3 + 0 = 0.
0, 2
Let n be (2/(-6))/(((-8)/9)/8). What is y in -2/11 + 2/11*y**2 - 6/11*y**n + 6/11*y = 0?
-1, 1/3, 1
Let v be 3 - 2 - (1 - 0). Suppose -s + 0 + 4 = v. Determine k, given that -2*k**3 - 2*k**5 + 8 + s*k**4 - 8 = 0.
0, 1
Let t = 85 - 82. What is z in -24*z**5 - 26*z**4 + 8/3*z**2 + 0*z - 8/3*z**t + 0 = 0?
-2/3, 0, 1/4
Let a = 8 - 2. Find d, given that -2 + a*d**2 + 4*d**2 - 8*d**2 = 0.
-1, 1
Let v(a) = 3*a**2 - 2*a**2 + 3*a + 3*a**2. Let n(o) = -12*o**2 - 8*o. Let i(g) = 3*n(g) + 8*v(g). Determine h, given that i(h) = 0.
0
Let g be 2/(0 + (4 - 3)). Let a(o) be the first derivative of -1/2*o + 3/8*o**g - 1/12*o**3 + 1. Factor a(r).
-(r - 2)*(r - 1)/4
Determine u so that -3*u - 2*u**2 + 7*u**2 - 4*u**2 = 0.
0, 3
Factor -2/17*f**2 + 0 + 0*f.
-2*f**2/17
Let d be 6 + ((-36)/8)/((-9)/(-12)). Factor 8/3*s + d + 4/3*s**2.
4*s*(s + 2)/3
Let j be 2/(-8) + 3/12. Solve -d + j*d**4 - 2*d**4 + d**4 + 0*d**3 + d**3 + d**2 = 0.
-1, 0, 1
Suppose -11 + 2 = -3*s. Factor -f**2 + f**2 - s*f**2 - 1 + 4*f.
-(f - 1)*(3*f - 1)
Let s(l) be the second derivative of -l**7/168 - l**6/120 + l**5/16 + l**4/48 - l**3/3 + l**2/2 - 12*l. Solve s(u) = 0.
-2, 1
Let s be ((-5)/4)/((-2)/8). Suppose c = -0*c + s. Find a, given that 1/2*a**c + 1/2*a**2 + 3/2*a**3 + 0*a + 0 + 3/2*a**4 = 0.
-1, 0
Suppose 0 = -f + 6*f. Factor f*s**2 + 0*s**3 - s**3 - s**2.
-s**2*(s + 1)
Let m(u) be the second derivative of -1/3*u**3 + 1/3*u**4 - 1/30*u**6 - 3/2*u**2 + 8*u + 1/10*u**5 + 0. Solve m(v) = 0 for v.
-1, 1, 3
Suppose -4*p - 5*h + 12 = -5*p, -h = -p. Let l(x) = x + 1. Let r be l(p). Let -w**4 - 6*w**3 + 4*w**2 - w**r - 8*w**4 = 0. Calculate w.
-1, 0, 2/5
Factor 3*o**4 + 6*o**2 - 5*o**2 - 2*o**2 - 3*o**3 - 2*o**2 + 3*o**5.
3*o**2*(o - 1)*(o + 1)**2
Let f(p) be the first derivative of 2 - 1/3*p**3 + 1/2*p + 0*p**2 + 1/10*p**5 + 0*p**4. Factor f(x).
(x - 1)**2*(x + 1)**2/2
Suppose 0*s - 5*s = -4*d - 11, -s = -4*d + 1. Suppose -22 = -4*y - s*o, -6*o + o = -10. Factor 0 + 1/3*t**3 - 1/3*t**y + 1/3*t**2 - 1/3*t.
-t*(t - 1)**2*(t + 1)/3
Let s(w) be the third derivative of 1/150*w**5 + 0*w + 1/15*w**3 + 0 + 6*w**2 + 1/30*w**4. Factor s(p).
2*(p + 1)**2/5
Suppose -5*z = 3 - 8. Suppose -5*j + 3*r = z + 1, r = 3*j - 2. Factor -2*i + 4*i**j + 4*i**4 - 2*i**5 + 4*i**5 - 8*i**4.
2*i*(i - 1)**3*(i + 1)
Let j(r) = 66*r**2 - 51*r. Let a(g) = -5*g**2 + 4*g. Let f(q) = 27*a(q) + 2*j(q). Determine c, given that f(c) = 0.
0, 2
Let r be 2/(-8)*(-2 - (-30)/27). Factor -4/9*o**2 - 2/9*o - r*o**3 + 0.
-2*o*(o + 1)**2/9
Let g(r) = -3*r**4 + 5*r**3 - 7*r**2 - 9*r + 2. Let k(s) = 7*s**4 - 11*s**3 + 15*s**2 + 19*s - 5. Let o(p) = -9*g(p) - 4*k(p). Factor o(n).
-(n - 2)*(n + 1)**3
Let k = 583/21 - 192/7. What is g in -1/3*g - k*g**2 + 0 = 0?
-1, 0
Let l(r) be the first derivative of 3*r**5/20 + 5*r**4/8 + r**3 + 3*r**2/4 + r/4 + 11. Solve l(c) = 0 for c.
-1, -1/3
Let s(x) = -9*x**3 - 12*x**2 - 9*x - 6. Let h(v) = v**3 + v**2 + v + 1. Let i(w) = -6*h