actor 0*a + 3/4*a**i + p + 1/4*a**2 + 1/4*a**5 + 3/4*a**3.
a**2*(a + 1)**3/4
What is k in -3/5*k**3 + 0 + 3*k**2 - 18/5*k = 0?
0, 2, 3
Suppose 30 = 3*c - 8*c + 5*a, -4*c = -2*a + 24. Let n be (6/9)/((-2)/c). Factor 2 - n - 4*g - 14*g**2 - g**3 + 14*g**4 + 5*g**3.
2*g*(g - 1)*(g + 1)*(7*g + 2)
Let n(c) be the second derivative of c**4/3 + 4*c**3 + 18*c**2 + 9*c. Solve n(z) = 0.
-3
Let k = -38 - -35. Let z = k + 17/5. Factor 4/5*s**2 - 2/5*s - z.
2*(s - 1)*(2*s + 1)/5
Let w(u) = 4*u**3 + 9*u**2 - 21*u - 16. Let h(d) = 15*d**3 + 35*d**2 - 85*d - 65. Let o(z) = -6*h(z) + 25*w(z). Factor o(a).
5*(a - 1)*(a + 2)*(2*a + 1)
Suppose 36*m = 31*m. Let q(j) = j + 9. Let g be q(-5). Solve 6/5*o**g + 2/5*o**2 + m + 2/5*o**5 + 0*o + 6/5*o**3 = 0 for o.
-1, 0
Let t(b) be the first derivative of 9*b**4/20 - 11*b**3/5 - 6*b**2/5 - 22. Suppose t(p) = 0. What is p?
-1/3, 0, 4
Let m be (0 - (-9)/198)*4. Factor -4/11*d - m*d**2 - 2/11.
-2*(d + 1)**2/11
Factor -2*d + 2/7*d**2 + 24/7.
2*(d - 4)*(d - 3)/7
Let p = -1151 - -1153. Factor 3/2*x - 3/4 - 3/4*x**p.
-3*(x - 1)**2/4
Let s(w) be the second derivative of w**7/840 + w**6/360 - w**5/120 - w**4/24 + w**3/2 + 4*w. Let i(u) be the second derivative of s(u). Factor i(p).
(p - 1)*(p + 1)**2
Suppose -2*v - 4*v = -3*v. Let a(p) be the first derivative of v*p**3 + 0*p**2 - 14/5*p**5 - p**4 - 3 - 5/3*p**6 + 0*p. Factor a(u).
-2*u**3*(u + 1)*(5*u + 2)
Let u(i) be the third derivative of -i**5/120 - i**4/12 - i**3/4 + 10*i**2. Solve u(m) = 0.
-3, -1
Suppose 4 - 14 = -2*m. Let y(v) be the second derivative of 0*v**3 + 1/120*v**6 + 0*v**4 + 0*v**2 + 0 + 3*v - 1/80*v**m. Solve y(w) = 0 for w.
0, 1
Let p(r) be the first derivative of 1/50*r**5 + 0*r - 1/100*r**6 - 1 + 0*r**2 - 1/60*r**4 + 2/3*r**3. Let y(k) be the third derivative of p(k). Factor y(v).
-2*(3*v - 1)**2/5
Let s(j) = -2*j**5 + 4*j**4 + 8*j**3 + 2*j**2 + 6. Let k(i) = -2*i**5 + 4*i**4 + 7*i**3 + i**2 + 5. Let f(a) = -6*k(a) + 5*s(a). Factor f(b).
2*b**2*(b - 2)*(b - 1)*(b + 1)
Let l(f) be the third derivative of 0 + 1/120*f**5 - 3*f**2 - 1/24*f**4 + 1/12*f**3 + 0*f. Factor l(m).
(m - 1)**2/2
Let f = -9 - -12. Suppose 4*u - f = 5. What is g in 0*g - g**u - 7/2*g**3 + 0 - 5/2*g**4 = 0?
-1, -2/5, 0
Suppose -4*m**3 + 2*m**3 - 1 - m**4 + 2 + 2*m = 0. What is m?
-1, 1
Let n(o) be the third derivative of o**5/15 + o**4/3 - 7*o**2. Factor n(v).
4*v*(v + 2)
Let y be (138/(-54) - 3)/2 + 3. Determine j so that -y*j**2 + 2/3*j**3 + 0 + 0*j = 0.
0, 1/3
Let x(r) be the first derivative of -r**6/360 + r**5/120 - r**3/3 - 1. Let o(h) be the third derivative of x(h). Let o(b) = 0. Calculate b.
0, 1
Factor -5/2*n**2 + 4*n + 1/2*n**3 - 2.
(n - 2)**2*(n - 1)/2
Let z(f) be the first derivative of f**5/25 - f**4/10 - f**3/5 + 4*f**2/5 - 4*f/5 - 6. What is g in z(g) = 0?
-2, 1, 2
Suppose 9*f = 64 - 10. Let v(b) be the first derivative of 11/4*b**4 + 5/12*b**f - 4/3*b**3 - 9/5*b**5 + 2 + b - 3/4*b**2. Factor v(n).
(n - 1)**4*(5*n + 2)/2
Factor -u**3 + 16*u + 3*u**3 + 8 + 0*u**2 + 2*u**2 + 8*u**2.
2*(u + 1)*(u + 2)**2
Factor -2/3*z**2 + 0 - 4/3*z + 2/3*z**3.
2*z*(z - 2)*(z + 1)/3
Let b(w) be the third derivative of w**6/30 - 2*w**5/15 - 7*w**4/6 - 8*w**3/3 - 8*w**2. Solve b(j) = 0 for j.
-1, 4
Factor 5*v - 4 + 8*v + v**2 - 10*v.
(v - 1)*(v + 4)
Let t = 8 + -5. Let o = 10 + -6. Factor -3 + t + 2 - 5*h**2 - o + 7*h.
-(h - 1)*(5*h - 2)
Let i(s) = -2*s + 1. Let a be i(-1). Let m be (-2)/(4/6) + 5. Factor 2/9*n**m + 0 + 2/9*n**a - 2/9*n - 2/9*n**4.
-2*n*(n - 1)**2*(n + 1)/9
Let p(a) = -30*a**3 + 106*a**2 - 94*a - 18. Let k(d) = -151*d**3 + 529*d**2 - 469*d - 91. Let r(i) = 2*k(i) - 11*p(i). Solve r(w) = 0 for w.
-1/7, 2
Suppose 0 = 3*y - 9. Factor 15*g - 7*g**2 - 12*g**2 + 12*g**3 - y - 5*g**2.
3*(g - 1)*(2*g - 1)**2
Let k(u) be the second derivative of u**5/20 + 2*u**4/9 + u**3/6 - u**2/3 - 9*u. Factor k(w).
(w + 1)*(w + 2)*(3*w - 1)/3
Suppose -1 = -5*g + 9. Factor -17 + 2*o - 12 + 33 - g*o**2.
-2*(o - 2)*(o + 1)
Let k(n) = -n**3 + 4*n**2 - n - 2. Let i be k(2). Suppose -i*w - 4*w**2 + 4*w + w**2 - 3*w**3 = 0. What is w?
-1, 0
Factor 4/7*a**2 - 6/7*a**3 + 2/7*a**4 + 0 + 0*a.
2*a**2*(a - 2)*(a - 1)/7
Suppose -t - 24 = -g, -t + 1 - 3 = 0. Solve 2*q + q**4 + g*q**3 + 11*q**2 + 7*q**2 - 2 + 7*q**4 = 0.
-1, 1/4
Let g(b) = 2*b**3 + 10*b**2 + 6*b + 6. Let i(m) = 4*m**3 + 21*m**2 + 12*m + 13. Let d(p) = -9*g(p) + 4*i(p). Suppose d(f) = 0. Calculate f.
-1
Let g be 4/3 + 8/12. Find n, given that -7*n**3 + 4*n + g*n**4 + 0*n**4 + n**4 = 0.
-2/3, 0, 1, 2
Let t = 30 + -8. Factor -f**4 - t*f**3 - 6*f - 2 - 12*f + 7*f**4 + 6 + 30*f**2.
2*(f - 1)**3*(3*f - 2)
Let v(w) = -w**4 + w**3 - w + 1. Let r(o) = -7*o**2 - 9*o**4 - 31*o**3 + 12*o**3 - 4*o**5 + 0*o + 3*o - 4. Let g = 3 - 7. Let x(j) = g*v(j) - r(j). Factor x(t).
t*(t + 1)**3*(4*t + 1)
Let u(d) = -4*d**4 - 8*d**3 - 16*d**2 + 4. Let g(t) = -t**4 - t**3 - t**2. Let s(r) = -8*g(r) + u(r). Factor s(o).
4*(o - 1)**2*(o + 1)**2
Factor -o**3 - 24*o**2 + 4*o**2 + 9*o**3.
4*o**2*(2*o - 5)
Let c be 27/5 - (-2)/(-5). Solve 7 - 2*y**2 - 4*y + 0*y - c + 4*y**3 = 0 for y.
-1, 1/2, 1
Let l(q) be the second derivative of q**5/20 + q**4/2 + 5*q**3/6 - 8*q. Let m(b) = -3*b**2 - 3*b. Let w(p) = -3*l(p) - 7*m(p). Solve w(z) = 0 for z.
-1, 0, 2
Let c = 12 - 6. Suppose -c*j + j + 10 = 0. Factor t**2 - 2*t**4 + 2*t**3 + j*t**3 + t**2 - 8*t**3 + 4*t.
-2*t*(t - 1)*(t + 1)*(t + 2)
Let t be -1 + 0/3 + 15. Let x be 0 - 0 - (-7)/t. Factor 1/2*g**3 - x*g - 5/4*g**2 + 0 + 5/4*g**4.
g*(g - 1)*(g + 1)*(5*g + 2)/4
Let o(b) be the third derivative of -b**8/7560 + b**7/1260 - b**6/540 + b**5/540 - b**3/6 - b**2. Let w(q) be the first derivative of o(q). Factor w(d).
-2*d*(d - 1)**3/9
Find h, given that 58*h**2 - h**4 - 103*h**2 + 46*h**2 = 0.
-1, 0, 1
Let z(u) = 7*u**3 + 9*u**2 - 4*u + 2. Let k(h) = 15*h**3 + 18*h**2 - 9*h + 5. Let c(d) = 6*k(d) - 15*z(d). Factor c(n).
-3*n*(n + 2)*(5*n - 1)
Let g = 7 + 11. Suppose 4*y - g = -6. Factor 0 - 2/7*i**2 + 2/7*i**y + 0*i.
2*i**2*(i - 1)/7
Find y, given that y**2 + 12*y**3 - 2*y - 3*y**3 - 8*y**3 = 0.
-2, 0, 1
Let w(j) = 8*j + 50. Let s be w(-6). Find m, given that 3/2*m**3 - 3/2*m**4 + 0 + 1/2*m**5 + 0*m - 1/2*m**s = 0.
0, 1
Solve -6*p - 2*p + 2 + 3*p + 2*p**3 - 3*p**3 + 4*p**2 = 0.
1, 2
Let x = -3715/4 + 931. Factor -3/4*i**2 - x*i - 3/2.
-3*(i + 1)*(i + 2)/4
Let i = -81 + 248/3. Let m(g) be the second derivative of i*g**4 + 0 + 2/3*g**3 - g + 5/4*g**5 + 0*g**2. Factor m(c).
c*(5*c + 2)**2
Let w be -3*(-2 + 0 + 0). Let f = w + -4. Factor -2*g**3 + f*g**4 - 1/2*g**5 + 5/2*g - g**2 - 1.
-(g - 2)*(g - 1)**3*(g + 1)/2
Factor -2/7*y**2 + 10/7*y - 12/7.
-2*(y - 3)*(y - 2)/7
Let h(d) be the second derivative of d**8/36960 + d**7/13860 - 5*d**4/12 - 5*d. Let c(x) be the third derivative of h(x). Determine l, given that c(l) = 0.
-1, 0
Let k be (-2)/(-4) + 25/10. Find f such that f**3 + k*f**2 + 31*f**2 + 7*f**3 + 40*f + 10 - 2 = 0.
-2, -1/4
Let w be 1/3*0*8/(-32). Factor -5/3*m**3 + 0 - 2/3*m**2 + w*m.
-m**2*(5*m + 2)/3
Let t(c) = c**2 + 6*c - 27. Let g be t(-9). Solve 0*j + 2/5*j**2 + g = 0 for j.
0
Factor 12/7*s + 0 - 4/7*s**3 + 8/7*s**2.
-4*s*(s - 3)*(s + 1)/7
Let b(h) = h**3 - h**2 - 1. Let a be b(1). Let y = 3 - a. Find c, given that 2*c - 4*c - y*c**2 - 2*c**3 + 0*c**2 = 0.
-1, 0
Let g(u) be the third derivative of 3*u**6/200 + u**5/4 + 11*u**4/15 + 14*u**3/15 + 30*u**2 - 1. Solve g(f) = 0.
-7, -2/3
Let f(g) be the third derivative of 1/3*g**3 + 11/24*g**4 + 0*g + 5*g**2 + 3/20*g**5 + 0. Find j, given that f(j) = 0.
-1, -2/9
Solve 2/3*a**3 + 0*a**2 - 2/3*a + 0 = 0 for a.
-1, 0, 1
Let n(a) = -a**2 + a + 1. Let c(i) = 4*i**3 - 26*i**2 + 14*i + 38. Let v(u) = -c(u) + 6*n(u). Find x, given that v(x) = 0.
-1, 2, 4
Suppose 2*y + 2 = -2*f, 6*f = 2*y + f - 26. Let d = y - 0. Factor t**2 + 3*t**3 + 3*t**3 - 5*t**d.
t**2*(t + 1)
Let t = 16 + -27. Let i(x) = -5*x**3 - 26*x**2 - 15*x - 5. Let d(h) = h**3 + 5*h**2 + 3*h + 1. Let p(n) = t*d(n) - 2*i(n). Factor p(y).
-(y + 1)**3
Let k(b) be the second derivative of b**7/63 + b**6/45 - b**5/30 - b**4/18 + b. Factor k(n).
2*n**2*(n - 1)*(n + 1)**2/3
Suppose 3*k - n - 1 - 10 = 0, 36 = 4*k + 4*n. Factor 27 + k*q - 5*q + 3*q**2 + 7*q + 11*q.
3*(q + 3)**2
Factor -g**4 - 1/2*g + g**2 + 1/2*g**5 + 0 + 0*g**3.
g*(g -