 5*a**4 + 3*a**4 + 6*a**4 + 12*a**2 - 2*a.
2*(a + 1)**2*(a + 2)*(2*a - 1)
Let v = -44 - -49. What is l in 0*l**2 + 2/5*l**v + 2/5*l - 4/5*l**3 + 0*l**4 + 0 = 0?
-1, 0, 1
Suppose -5*t - 8 = -18. Determine y, given that -1/3*y**t - 2/3 - y = 0.
-2, -1
Let a(c) be the third derivative of c**8/168 + 4*c**7/105 + c**6/15 - c**5/15 - 5*c**4/12 - 2*c**3/3 + c**2. Factor a(m).
2*(m - 1)*(m + 1)**3*(m + 2)
Solve 27*t**2 + 18*t**3 - 4*t**4 - 4*t**4 + 8*t**4 + 3*t**4 = 0.
-3, 0
Solve -16*r**2 + 8*r**4 + 0*r**4 - 8*r**3 - 322*r**5 + 4*r + 8 + 326*r**5 = 0.
-2, -1, 1
Let x(c) = -2*c + 16. Let w be x(11). Let v be ((-4)/(-30))/((-2)/w). Factor 2/5 - v*j**2 - j + j**3.
(j - 1)*(j + 1)*(5*j - 2)/5
Suppose 5*h - 4*h + b = 0, 2*h + b - 2 = 0. Let p(v) = v**4 + v. Let q(l) = -16*l**4 + 24*l**3 - 6*l**2 - 6*l. Let y(f) = h*p(f) + q(f). Solve y(r) = 0.
-2/7, 0, 1
Let z(h) = -3*h**2 + 3*h + 3. Let b(x) = x. Let t(m) = 3*b(m) - z(m). What is l in t(l) = 0?
-1, 1
Let 0*l + 2/5*l**2 + 0 = 0. Calculate l.
0
Let j be (-3)/2*4/6. Let k = j - -3. Suppose -2*g**2 - g**3 + 2*g**4 - g**3 + k*g + 3 - 3 = 0. What is g?
-1, 0, 1
Factor -7/3*i**3 + 0 + 1/3*i**4 + 11/3*i**2 - 5/3*i.
i*(i - 5)*(i - 1)**2/3
Factor 7*r - 8*r**2 - 16 + 41*r + 3*r**2 - 15*r**2.
-4*(r - 2)*(5*r - 2)
Let h(s) = -2*s - 11. Let z be h(-8). Suppose 0 = 3*a - 12, -57 = -4*r - r + 2*a. Find t such that -9*t - z*t**2 - t**3 - r + t + 9 = 0.
-2, -1
Let -32/13*p + 2/13*p**4 - 32/13 + 0*p**2 + 8/13*p**3 = 0. What is p?
-2, 2
Factor -3/4*v**3 + 0*v + 0 - 15/4*v**5 + 3/2*v**2 - 6*v**4.
-3*v**2*(v + 1)**2*(5*v - 2)/4
Let s(b) be the first derivative of -b**4/4 + 2*b**3/3 + 3*b**2/2 + 2*b - 3. Let p be s(3). Factor p*q**2 + 2*q - q - q**2.
q*(q + 1)
Let t = 6605/6 - 1096. Let v = t - 79/18. Determine s so that -v*s**2 - 2/9*s**3 + 0 - 2/9*s = 0.
-1, 0
Let x(f) = f + 2. Let q be x(0). Suppose q*a = 5*a. Find g, given that 2/3*g**4 + a*g - 2/3*g**3 + 2/9*g**2 - 2/9*g**5 + 0 = 0.
0, 1
Let c be 62/(-248)*((-2)/6 + -1). Find k such that 0 - 2/3*k + k**2 - c*k**3 = 0.
0, 1, 2
Factor 10*a**4 + a**2 + 3*a - 2*a**5 - 7*a - 18*a**3 + 13*a**2.
-2*a*(a - 2)*(a - 1)**3
Let n(w) = 2*w**4 - 2*w**3 - 6*w**2 - 10*w. Let v(c) = -c**2 + c. Let i(t) = -n(t) - 4*v(t). Factor i(b).
-2*b*(b - 3)*(b + 1)**2
Let y(r) = -r**2 - 13*r - 1. Let t(v) = 2*v**2 + 20*v + 2. Let i(n) = -5*t(n) - 8*y(n). Solve i(f) = 0 for f.
1
Factor -5/3*d**2 + 0 + 20/3*d.
-5*d*(d - 4)/3
Let u(r) = 7*r**3 - r**2 - 5*r - 2. Let a be u(-2). Let z = -154/3 - a. Factor 0 + 2/3*l**2 - 2/3*l**4 + 2/3*l**3 - z*l.
-2*l*(l - 1)**2*(l + 1)/3
Let z(u) be the third derivative of u**6/120 + u**5/20 - u**3/3 - u**2. Let i(a) be the first derivative of z(a). Find h such that i(h) = 0.
-2, 0
Suppose 1 = -4*i + 9. Factor -4*y**2 - 2*y**3 + 0*y - y**3 + y**3 + 4 + i*y.
-2*(y - 1)*(y + 1)*(y + 2)
Let j(u) be the first derivative of -6*u**5/5 - 13*u**4/2 + 22*u**3/3 + 5*u**2 + 10. Factor j(d).
-2*d*(d - 1)*(d + 5)*(3*d + 1)
Factor 44*r**2 - 35/3*r**3 - 64/3 + r**4 - 48*r.
(r - 4)**3*(3*r + 1)/3
Let r = 5 - -5. Find n, given that 1 + 2*n**3 + 8*n**5 - 1 + 0*n**5 - r*n**4 = 0.
0, 1/4, 1
Let v = -1 - -9. Suppose 0 = -5*j + 9*j - v. Factor -1/4*w**j - 1/4 + 1/2*w.
-(w - 1)**2/4
Let a(x) = -x**3 + 1. Let h be a(1). Let b be 3*(h - 4/(-15)). Find o such that b*o - 2/5 - 2/5*o**2 = 0.
1
Let x be (3/2 + 0)/(66/88). Let w(a) be the first derivative of 0*a + 1/9*a**3 + 0*a**x - 1/12*a**4 + 4. Find d such that w(d) = 0.
0, 1
Suppose -4 = -3*a - 4*i, -13 + 3 = 5*i. Let d(y) be the second derivative of -1/4*y**3 + 0 + 0*y**2 - 5/16*y**a + 9/80*y**5 - 3*y. Factor d(q).
3*q*(q - 2)*(3*q + 1)/4
Factor 10 - 9*k**2 + 5*k - 5*k**3 + 0 - k**2.
-5*(k - 1)*(k + 1)*(k + 2)
Let v(z) = -4*z**3 + 15*z**2 - 7. Let b(l) = 2*l**3 - 8*l**2 + 4. Let a(w) = -7*b(w) - 4*v(w). Suppose a(p) = 0. Calculate p.
0, 2
Let g(h) be the third derivative of 1/24*h**4 - 1/240*h**6 - 1/120*h**5 + 0*h + 0*h**3 - 2*h**2 + 0. Factor g(x).
-x*(x - 1)*(x + 2)/2
Let m(q) be the second derivative of 0*q**3 + 0*q**2 + 0 + 1/10*q**5 + 2/5*q**6 + 9*q + 0*q**4. Factor m(z).
2*z**3*(6*z + 1)
Let d = 7/13 + -15/52. Solve 2*u**2 + 3/2*u**3 - 9/4*u**4 + d - 3/2*u = 0 for u.
-1, 1/3, 1
Let y(l) be the first derivative of -4*l**4/3 + 8*l**3/3 - 3*l**2/2 + l/3 + 1. What is w in y(w) = 0?
1/4, 1
Let r(y) be the second derivative of 1/2*y**3 - 5*y + 0 + 0*y**2 + 1/4*y**4. Suppose r(v) = 0. Calculate v.
-1, 0
Let n(x) be the third derivative of x**9/60480 - x**8/6720 + x**7/1680 - x**6/720 + x**5/15 - x**2. Let a(l) be the third derivative of n(l). Factor a(t).
(t - 1)**3
Suppose -4*a + 8*a = 24. Let p(y) be the third derivative of 1/420*y**a - 3*y**2 + 0*y - 1/210*y**5 + 0 + 0*y**4 + 0*y**3. Suppose p(q) = 0. Calculate q.
0, 1
Let g(l) be the third derivative of -l**5/300 - l**4/40 - l**3/15 + 3*l**2. Suppose g(h) = 0. Calculate h.
-2, -1
Suppose -14*h**3 + 17*h**3 + 3*h - 9*h**2 + 3*h = 0. Calculate h.
0, 1, 2
Let c be ((-146)/(-365))/(6/5). Factor 1/3*s - 1/3*s**3 + 0 - 1/3*s**2 + c*s**4.
s*(s - 1)**2*(s + 1)/3
Let a(f) be the third derivative of f**6/420 + f**5/105 - f**4/84 - 2*f**3/21 + 9*f**2. Find n such that a(n) = 0.
-2, -1, 1
Suppose -2*v = -5*v - 2*k + 8, 4*v - 5*k = 3. Factor -9*s**v + s**3 + 2*s + 1 - 1 + 12*s**2.
s*(s + 1)*(s + 2)
Factor 5*w**3 - 5/3*w + 10/3 - 20/3*w**2.
5*(w - 1)**2*(3*w + 2)/3
What is u in 8/15*u**4 + 2/3*u**3 - 2/5*u**5 + 0 + 0*u - 4/15*u**2 = 0?
-1, 0, 1/3, 2
Let y(w) be the second derivative of -1/33*w**3 + 0*w**2 + 1/33*w**4 + 0 + 2*w - 1/110*w**5. Factor y(q).
-2*q*(q - 1)**2/11
Factor -16*q**3 - 21*q**3 - 2*q**4 - 4*q**2 + 43*q**3.
-2*q**2*(q - 2)*(q - 1)
Suppose 3*n + 12 = 0, 6*s + 5*n = 2*s + 160. Let h be s/84 - (-6)/(-21). Determine a, given that -1/2*a - 1/4*a**2 - h = 0.
-1
Let w be 14/(-10) - (-21)/(-35). Let q = 5 + w. Factor -2*n - 11*n**2 - q*n**4 - 15*n**3 - 8*n**4 - 3*n**5 + 2*n**2.
-n*(n + 1)**3*(3*n + 2)
Let u(j) be the first derivative of -j**7/420 + j**6/60 - j**5/20 + j**4/12 + j**3/3 - 3. Let t(o) be the third derivative of u(o). Factor t(k).
-2*(k - 1)**3
Let i be -1 + (-2 - 1)*-1. Suppose -2*n - 5*g - 9 = 0, -2*g = -7*g - 15. Solve 2*u**4 + 2*u**3 - n*u**4 + 0*u**i - u**2 = 0 for u.
0, 1
Let t(z) = z**5 + 4*z**4 + z**3 - 5*z**2 - 3*z + 1. Let m(j) = j**3 + j**2 - 1. Let d(o) = -m(o) - t(o). Determine v, given that d(v) = 0.
-3, -1, 0, 1
Let h(u) be the second derivative of -u**6/10 + u**4/4 + 42*u. Factor h(g).
-3*g**2*(g - 1)*(g + 1)
Let o(y) be the second derivative of 0 + 0*y**2 + 0*y**4 - y - 1/240*y**5 + 1/720*y**6 - 1/3*y**3. Let w(z) be the second derivative of o(z). Factor w(i).
i*(i - 1)/2
Let i = -44 + 47. Let z(g) be the third derivative of 0*g**i + 0*g**4 - 1/30*g**5 + 0*g + 0 + 3*g**2 - 1/60*g**6. Factor z(r).
-2*r**2*(r + 1)
Let k(m) be the first derivative of -m**6/6 - 3*m**5/5 - 3. Factor k(h).
-h**4*(h + 3)
Let q be (-6)/12*0/2. Let p(k) be the second derivative of 2*k + 0*k**3 + q*k**5 + 1/105*k**6 + 0 + 0*k**2 + 0*k**4 + 1/147*k**7. Factor p(s).
2*s**4*(s + 1)/7
Suppose 2*n = 3*n - 15. Suppose d = -4*d + n. Factor 0*i**2 - 14/9*i**4 + 4/9*i**d + 0 + 0*i.
-2*i**3*(7*i - 2)/9
Suppose p - 4*p - 12 = 0, -16 = 2*j + 5*p. Factor 2/13*o**4 + 2/13 - 8/13*o**3 + 12/13*o**j - 8/13*o.
2*(o - 1)**4/13
Let r(o) be the second derivative of o**6/360 - o**5/90 + o**4/72 + 3*o**2 - o. Let w(u) be the first derivative of r(u). Factor w(g).
g*(g - 1)**2/3
Let v be (-2 + 13/6)*3. Let j(s) = 3*s - 1. Let w be j(1). Find o, given that -o - 1/2*o**w - v = 0.
-1
Let h be (-7)/(-6)*(-3)/126. Let n = h + 55/36. What is m in n*m - 3/2*m**2 + 0 = 0?
0, 1
Let o be (-3)/(3 - (-27)/(-6)). Let t be -4*(9/6 - o). Factor -2*m**3 - 6*m + 7*m**2 - 3*m**2 + 2*m**t + 2.
-2*(m - 1)**3
Let o(x) be the first derivative of -x**3/3 - 5*x**2/8 - x/4 - 2. Factor o(m).
-(m + 1)*(4*m + 1)/4
Let v(d) = -4*d**3 - 8*d**2 + 4*d + 8. Let u(z) = -4*z**3 - 8*z**2 + 4*z + 8. Let l(r) = -3*u(r) + 4*v(r). Factor l(m).
-4*(m - 1)*(m + 1)*(m + 2)
Let i(v) = -8*v**4 + 7*v**3 + 9*v**2 + 2*v + 8. Let c be (-84)/8*(-24)/14. Let w(d) = d**4 - d**3 - d**2 - 1. Let f(a) = c*w(a) + 2*i(a). Factor f(n).
2*(n - 1)**3*(n + 1)
Let z(q) be the second derivative of 0 - q**2 + 1/3*q**4 + 1/3*q**3 + 1/21*q**7 - q - 1/15*q**6 - 1/5*q**5. Fac