2/9*o**5 - 4/9 - 4/9*o**2 + 8/9*o**3 = 0.
-2, -1, 1
Let n(w) be the third derivative of -w**10/7560 - w**9/1890 - w**8/1680 + w**4/8 + 2*w**2. Let f(y) be the second derivative of n(y). Factor f(o).
-4*o**3*(o + 1)**2
Let z be ((-20)/(-35))/(2/7). Suppose 2*c - p = -1, -c + z*p - 3 = p. Solve 0 - 2*x**3 + 2/3*x - 4/3*x**c = 0.
-1, 0, 1/3
Let o = -2 - -13. Let w = 14 - o. Factor -5/4*t**w + 0 - 1/2*t + 7/4*t**2.
-t*(t - 1)*(5*t - 2)/4
Let j(u) be the first derivative of u**6/6 + 2*u**5/5 - 27. Determine r, given that j(r) = 0.
-2, 0
Let t(b) be the third derivative of b**8/336 - b**6/60 + b**4/24 - 6*b**2. Factor t(k).
k*(k - 1)**2*(k + 1)**2
Solve 5*w + 3*w**3 - 6*w**3 - w**2 + 0 - w**4 + 2 - 2*w = 0.
-2, -1, 1
Let 2/13 - 2/13*s**2 + 0*s = 0. What is s?
-1, 1
Let n(f) be the first derivative of -3*f**5/5 - 9*f**4/4 + 17. Factor n(m).
-3*m**3*(m + 3)
Let o be -2 + ((-33)/22)/(18/(-33)). Solve 0 - o*v**2 - 3/4*v**3 + 0*v = 0.
-1, 0
Suppose 0 = 2*m - 0*m. Factor m*k + 2*k**4 - 2*k - 6*k**3 + 0*k**4 + 6*k**2.
2*k*(k - 1)**3
Suppose 10*k = -3 - 17. Let l be -1*(k + 0) - 0. Factor -1/4*q + 1/4*q**3 + 1/4*q**l - 1/4*q**4 + 0.
-q*(q - 1)**2*(q + 1)/4
Let z be (-1*(-1)/9)/(34/272). Solve z*q + 8/9 + 2/9*q**2 = 0 for q.
-2
Let n(x) be the third derivative of -x**8/112 + x**7/70 + 3*x**6/40 - x**5/20 - x**4/4 + 21*x**2. Solve n(m) = 0.
-1, 0, 1, 2
Let x(h) be the second derivative of h**8/10080 - h**7/2520 + h**6/2160 - h**4/12 + 5*h. Let j(k) be the third derivative of x(k). What is i in j(i) = 0?
0, 1/2, 1
Let i(f) = -3*f**4 - 7*f**3 + 7*f**2 + 7*f - 7. Let h(z) = z**4 + 2*z**3 - 2*z**2 - 2*z + 2. Let l(a) = -21*h(a) - 6*i(a). Factor l(k).
-3*k**4
Let w(y) be the third derivative of 0 - 8*y**2 + 1/240*y**5 + 0*y - 1/24*y**3 + 0*y**4. Factor w(i).
(i - 1)*(i + 1)/4
Let p = 127/262 - -2/131. Factor -1/2*z**2 + p + 0*z.
-(z - 1)*(z + 1)/2
Suppose -u = -0*u - 5. Let s(a) = -a + 5. Let x be s(u). Find p such that 1/3*p + 2/3*p**2 + x + 1/3*p**3 = 0.
-1, 0
Let v(b) be the third derivative of -b**9/60480 - b**8/6720 - b**7/1680 - b**6/720 + b**5/10 - 2*b**2. Let f(m) be the third derivative of v(m). Factor f(a).
-(a + 1)**3
Suppose 3*m - 16 = -m. Let q(h) be the third derivative of -1/30*h**5 + 0*h**3 + 0*h - h**2 + 0 - 1/12*h**m. Factor q(u).
-2*u*(u + 1)
Let h be (((-4)/(-1))/((-6)/(-3)))/1. Let 4/3*z - 2/3 - 2/3*z**h = 0. What is z?
1
Let c = -12/25 + 22/25. Factor 2/5*w**2 - c*w - 4/5.
2*(w - 2)*(w + 1)/5
Find w, given that -12/5*w**3 - 8/5*w**4 - 2/5*w + 0 - 2/5*w**5 - 8/5*w**2 = 0.
-1, 0
Factor -19*x**2 - 29*x**2 + 44*x**2 + 4*x**4.
4*x**2*(x - 1)*(x + 1)
Suppose -10/3*a + 0 - 5/3*a**3 + 5*a**2 = 0. Calculate a.
0, 1, 2
Let u(n) be the first derivative of 5*n**4/16 + 25*n**3/12 + 15*n**2/8 - 45*n/4 - 32. Factor u(t).
5*(t - 1)*(t + 3)**2/4
Let t be (-98)/(-360) + 14/(-56). Let x(y) be the second derivative of 3*y + t*y**6 + 1/15*y**5 + 0*y**2 + 1/18*y**4 + 0*y**3 + 0. Factor x(w).
2*w**2*(w + 1)**2/3
Let c(o) be the third derivative of o**7/1260 + o**6/720 - o**5/360 - o**4/144 + 7*o**2. Find h, given that c(h) = 0.
-1, 0, 1
Let z = 10 - 16. Let c = -6 - z. Determine q so that c*q**3 + 1/4*q**4 + 0*q + 0 - 1/4*q**2 = 0.
-1, 0, 1
Let d(t) = 3*t**3 - 8*t**2 - 5*t + 8. Let s(r) = 3*r**3 - 9*r**2 - 6*r + 9. Let f(m) = 3*d(m) - 2*s(m). Determine g, given that f(g) = 0.
-1, 1, 2
Factor 0*n**3 + 1/8 + 1/8*n**4 - 1/4*n**2 + 0*n.
(n - 1)**2*(n + 1)**2/8
Factor -4*r + 9*r**5 - 13*r**5 - 4 - 3*r**4 - r**4 + 8*r**3 + 8*r**2.
-4*(r - 1)**2*(r + 1)**3
Suppose -3*u - x = x - 16, 2*u - 24 = 2*x. Determine d, given that 6*d**2 + 3 - 18 - u*d + 7 = 0.
-2/3, 2
Factor 120/7*f**2 + 18/7*f**5 + 236/7*f**3 + 120/7*f**4 + 18/7*f + 0.
2*f*(f + 3)**2*(3*f + 1)**2/7
Let c(r) = -10*r**5 + 45*r**4 - 53*r**3 + 16*r**2 + 15*r + 5. Let j(k) = 5*k**5 - 22*k**4 + 26*k**3 - 8*k**2 - 7*k - 2. Let w(n) = 4*c(n) + 9*j(n). Factor w(h).
(h - 1)**4*(5*h + 2)
Let v(g) = 19*g**5 - 20*g**4 + g**3 - 3*g**2 - 3. Let d(l) = -18*l**5 + 20*l**4 - 2*l**3 + 2*l**2 + 2. Let n(w) = 3*d(w) + 2*v(w). Factor n(j).
-4*j**3*(j - 1)*(4*j - 1)
Suppose 0*l = 3*l - 3. Let i be (0 + -3)*l/(-1). Factor -4*p**i + p**3 + 2*p**4 + 2*p**3.
p**3*(2*p - 1)
Let x(a) be the third derivative of a**5/90 + a**4/12 + 2*a**3/9 - 13*a**2. Suppose x(v) = 0. What is v?
-2, -1
Let t(d) be the third derivative of -d**8/448 + d**7/84 - d**6/80 - d**5/30 + 3*d**4/32 - d**3/12 + 8*d**2. Solve t(c) = 0.
-1, 1/3, 1, 2
Let g(m) = 14*m**3 - 11*m**2 - 14*m + 4. Let u(f) = 7*f**3 - 5*f**2 - 7*f + 2. Suppose 0*a + 2*a = -6. Let p(v) = a*g(v) + 7*u(v). Factor p(q).
(q - 1)*(q + 1)*(7*q - 2)
Suppose 0 = -5*y - 5*f + 3*f + 8, 0 = 3*y + 5*f - 20. Suppose y = -0*k - 2*k + 6. Factor 5/2*v**k - 2*v + 0 - 4*v**2.
v*(v - 2)*(5*v + 2)/2
Suppose -4*z - 25 = -5. Let g be (-12)/(-15) + 2/z. Factor 0*v + 2/5 - g*v**2.
-2*(v - 1)*(v + 1)/5
Let j(s) be the third derivative of -s**6/360 + s**4/24 + 2*s**3/3 + s**2. Let a(w) be the first derivative of j(w). Factor a(y).
-(y - 1)*(y + 1)
Let m(a) be the first derivative of 0*a**2 - 3 + 0*a**3 - 3/25*a**5 + 0*a + 3/20*a**4. Determine d, given that m(d) = 0.
0, 1
Let z be 8/20 - 4/10. Factor 2/5*x**2 + 0 + z*x.
2*x**2/5
Let y(q) be the second derivative of -q**8/336 + q**7/210 - 3*q**2/2 - 3*q. Let w(t) be the first derivative of y(t). Solve w(b) = 0.
0, 1
Let t(g) = g**2 - 6*g + 2. Suppose 0*w - 3*w + 18 = 0. Let v be t(w). Factor a + v*a**3 + a - a**2 + 5*a**2.
2*a*(a + 1)**2
Let i(c) be the second derivative of -4/9*c**3 + 4/3*c**2 + 1/18*c**4 + 0 + 7*c. Solve i(j) = 0 for j.
2
Let u be (9 - 1)*3/6. Let t = 6 - u. Suppose 3*d - 2 - 3*d**2 + 5*d**t - 3*d**3 + 0*d**3 = 0. Calculate d.
-1, 2/3, 1
Let w = -198 + 200. Find m such that -3/2*m**2 + 4*m - w = 0.
2/3, 2
Let b = 47/69 - 8/23. Solve -1/3*z**2 + 1/3*z**3 + b - 1/3*z = 0.
-1, 1
Let u(r) be the third derivative of -49*r**5/270 + 7*r**4/27 - 4*r**3/27 - 8*r**2. Suppose u(g) = 0. What is g?
2/7
Factor -6/11*p**2 - 6/11*p**3 + 0 + 6/11*p**4 + 6/11*p.
6*p*(p - 1)**2*(p + 1)/11
Let v(m) = 3*m - 24. Let o be v(-14). Let b = o + 464/7. Solve 0*c - b*c**3 + 0 + 2/7*c**2 = 0.
0, 1
Let u = -2 - -2. Suppose 2*z + j = -3*j - 12, u = 3*z + j - 7. What is f in -2*f**z + 10*f**3 - 6*f**3 - 2 - 2*f**2 + 2 = 0?
0, 1
Suppose -5 - 6/5*h**2 - 1/5*h**4 - 8*h + 8/5*h**3 = 0. What is h?
-1, 5
Factor 0*q - 1/8*q**2 - 5/8*q**3 - 1/2*q**4 + 0.
-q**2*(q + 1)*(4*q + 1)/8
Let c = -742/3 - -250. Suppose 0 = 4*v, z + v = 6*v. Let -14/3*y**3 + 0*y + z - 4/3*y**2 + c*y**4 = 0. What is y?
-1/4, 0, 2
Let x(i) = i**4 - 18*i**3 + 41*i**2 - 34*i + 12. Let b(o) = -3*o**4 + 72*o**3 - 165*o**2 + 135*o - 48. Let k(d) = 2*b(d) + 9*x(d). Factor k(n).
3*(n - 2)**2*(n - 1)**2
Let f(l) be the second derivative of 0 + l + 1/10*l**3 + 0*l**2 + 3/25*l**5 - 1/4*l**4. Factor f(g).
3*g*(g - 1)*(4*g - 1)/5
Let u(s) be the second derivative of -s**6/40 - 9*s**5/80 + s**3/2 - 4*s. Factor u(b).
-3*b*(b - 1)*(b + 2)**2/4
Let q(b) be the first derivative of -b**3/3 + b + 54. Factor q(m).
-(m - 1)*(m + 1)
Let x(r) be the first derivative of -r**8/5040 - r**7/2520 - r**3 - 1. Let j(k) be the third derivative of x(k). Factor j(d).
-d**3*(d + 1)/3
Let b(m) = 3*m**2 + 137*m - 43. Let x be b(-46). Solve x*p**3 - 9/5*p**2 - 6/5*p + 0 = 0 for p.
-2/5, 0, 1
Let m(k) = k**2 + 6*k - 4. Let w(g) = 9*g**2 + 49*g - 32. Let r(y) = -51*m(y) + 6*w(y). Factor r(l).
3*(l - 2)**2
Let y(q) be the second derivative of -q**7/1365 - q**6/780 + q**5/195 + 3*q**2 - q. Let w(t) be the first derivative of y(t). What is x in w(x) = 0?
-2, 0, 1
Let t be ((-22)/6 + 3)*-3. Let n = -2 - -5. Factor 4*i - t*i - n*i + i**2.
i*(i - 1)
Let g = 13/5 - 5/2. Let l(s) be the second derivative of -5/3*s**3 + 0 - 1/15*s**6 + g*s**5 + 2*s**2 + 2*s + 1/2*s**4. Suppose l(m) = 0. Calculate m.
-2, 1
Let r = -30 + 34. Factor -y + 1/2*y**2 - 1/2*y**r + 0 + y**3.
-y*(y - 2)*(y - 1)*(y + 1)/2
Let t(a) be the first derivative of -a**4/30 - 2*a**3/15 - a**2/5 + 4*a + 3. Let r(f) be the first derivative of t(f). Find s, given that r(s) = 0.
-1
Let k(x) be the third derivative of -2*x**7/105 + x**5/5 - x**4/3 - 3*x**2. Factor k(a).
-4*a*(a - 1)**2*(a + 2)
Let j(v) = -41*v**2 - 80*v - 30. Let x(q) = 21*q**2 + 40*q + 15. Let p(l) = -4*j(l) - 9*x(l). Factor p(n).
-5*(n 