*a**2 - 4*a. Let u be n(0). Find r such that 1/4*r**2 + 1/4*r**3 - 1/4*r**5 + u*r + 0 - 1/4*r**4 = 0.
-1, 0, 1
Let q(t) be the first derivative of -2*t**3/3 - 10*t**2 - 50*t + 13. Factor q(f).
-2*(f + 5)**2
Solve -2/23*o**3 + 12/23 - 8/23*o**2 - 2/23*o = 0 for o.
-3, -2, 1
Factor 5/3 - 5*d + 5*d**3 - 5/3*d**2.
5*(d - 1)*(d + 1)*(3*d - 1)/3
Let h(n) be the third derivative of -n**5/60 - n**4/4 + n**3/3 + 2*n**2. Let a be h(-6). Factor -2*q + q**a + 2*q + q.
q*(q + 1)
Let s(v) be the third derivative of v**8/896 - 19*v**7/1680 + 7*v**6/160 - 3*v**5/40 + v**4/24 - 32*v**2. Let s(w) = 0. What is w?
0, 1/3, 2
Let t(k) = -k**4 + k**2. Let x(n) = 3*n**5 - 15*n**4 - 6*n**3 + 12*n**2 + 3*n + 3. Let y(g) = 18*t(g) - x(g). Find v such that y(v) = 0.
-1, 1
Determine a, given that 48*a - 6*a**3 + a**3 + a**3 - 4*a**5 - 40*a + 12*a**2 - 12*a**4 = 0.
-2, -1, 0, 1
Let r(o) be the third derivative of o**9/1512 + o**8/840 - o**7/420 - o**6/180 + o**3 - o**2. Let h(a) be the first derivative of r(a). Factor h(f).
2*f**2*(f - 1)*(f + 1)**2
Solve -2*p**2 - 48 + 48 + p**3 + p = 0.
0, 1
Let d(x) be the second derivative of x**6/75 - x**5/50 - 4*x. Solve d(i) = 0.
0, 1
Factor 0 + 2/5*l + 3/5*l**4 - 4/5*l**3 - 1/5*l**2.
l*(l - 1)**2*(3*l + 2)/5
Let z(m) be the third derivative of 0 + 7/6*m**4 + 1/30*m**6 - 2*m**3 + 0*m + 8*m**2 - 1/3*m**5. What is j in z(j) = 0?
1, 3
Suppose 3/7*j**2 - 6/7*j + 0 + 6/7*j**3 - 3/7*j**4 = 0. Calculate j.
-1, 0, 1, 2
Let x = 17/10 + -13/10. Factor -2/5*v + 0 + 2/5*v**4 - 2/5*v**2 + x*v**3.
2*v*(v - 1)*(v + 1)**2/5
Let y be (8/(-3))/((-6)/9). Let k(n) be the first derivative of 2/5*n**5 + 0*n**y + 1 + 1/3*n**6 + 0*n**3 + 0*n + 0*n**2. Factor k(c).
2*c**4*(c + 1)
Let z = 397 - 395. Factor 0 + 2/5*l + 2/5*l**3 + 4/5*l**z.
2*l*(l + 1)**2/5
Let a = 1744/3 - 581. Factor -h**2 - 1/3*h**3 - 2/3 + 5/3*h + a*h**4.
(h - 1)**3*(h + 2)/3
Let d be 12*(-2)/(-6 + 0). Determine i so that d*i - 4*i**3 - 5*i**2 + 0*i**2 + 5*i**2 = 0.
-1, 0, 1
Let v(m) = 3*m**2 + 1. Let f be ((-20)/(-3 + 1))/(4 - 2). Let a = -3 + -1. Let t(b) = 4*b**2 + 1. Let k(s) = a*t(s) + f*v(s). Determine i so that k(i) = 0.
-1, 1
Determine b, given that 24 + 21*b + 8*b**2 - 2*b - 13*b + 22*b = 0.
-2, -3/2
Let x(f) = -4*f**3 + f**2 + f + 1. Let o be x(-1). Suppose -7 = -o*h + 3. Find c, given that c**2 + 0*c**2 - c**h - c + c**2 = 0.
0, 1
Let q(w) be the second derivative of -w**9/10080 - 3*w**8/4480 - w**7/560 - w**6/480 + w**4/6 + w. Let g(p) be the third derivative of q(p). Factor g(n).
-3*n*(n + 1)**3/2
Let r(d) = 2*d - 8. Let s be r(5). Let 4/3*h - h**s - 1/3 = 0. What is h?
1/3, 1
Let b(y) be the first derivative of 2*y - 1/6*y**4 + 0*y**3 - 2 - 1/10*y**5 + 0*y**2. Let s(l) be the first derivative of b(l). Factor s(h).
-2*h**2*(h + 1)
Let j(t) = -13*t**4 + 19*t**3 + 7*t**2 + 7. Let d(v) = -9*v**4 + 13*v**3 + 5*v**2 + 5. Let y(r) = -7*d(r) + 5*j(r). Let y(a) = 0. Calculate a.
0, 2
Let m(z) be the third derivative of -2*z**2 + 0 - 1/60*z**5 + 0*z + 1/24*z**4 + 0*z**3. Factor m(j).
-j*(j - 1)
Let p(h) be the third derivative of -h**8/1344 - h**7/420 + h**5/120 + h**4/96 - 3*h**2. Factor p(f).
-f*(f - 1)*(f + 1)**3/4
Let y(c) be the second derivative of -3*c + 0*c**4 + 1/50*c**5 + 0*c**3 + 1/105*c**7 + 0*c**2 + 2/75*c**6 + 0. Solve y(a) = 0 for a.
-1, 0
Factor 18*t**3 - 4*t**4 + 25*t**3 + 3*t - 18*t**2 - 7*t**3 - 26*t**4 + 9*t**5.
3*t*(t - 1)**3*(3*t - 1)
Suppose v = -v + 8. Let -r**4 + r - 3*r**4 - 2*r**2 + 3*r**v + 3*r**4 - r**3 = 0. What is r?
-1, 0, 1/2, 1
Determine j, given that 0*j**2 + 0*j**3 + 0 + 2/5*j**4 + 0*j - 2/5*j**5 = 0.
0, 1
Let n(b) be the first derivative of b**4 + 8/3*b**3 - 8*b - 2*b**2 - 9. Solve n(z) = 0 for z.
-2, -1, 1
Let z = -3 + 3. Let k(c) = -c**3 - c**2 - c + 4. Let m be k(z). Let 3*j**4 + 0 - 1 - 2*j**m + 6*j**2 - 4*j**3 + 2 - 4*j = 0. What is j?
1
Let n(d) be the first derivative of 1/5*d**4 + 0*d**3 - 2/5*d**2 + 2/5*d - 2/25*d**5 + 8. Suppose n(x) = 0. What is x?
-1, 1
Suppose -10*h + 23 = -7. Factor -6*s**2 + 14/3*s + 10/3*s**h - 4/3 - 2/3*s**4.
-2*(s - 2)*(s - 1)**3/3
Let h(d) = -d**3 + 15*d**2 + 15*d + 8. Let p be h(16). Let l be -2 + p/4*-1. Solve 1/3*m**5 + 0*m**3 + 0 + l*m**2 - 1/3*m**4 + 0*m = 0 for m.
0, 1
Let z(f) = f**3 - 6*f**2 + 5*f + 6. Let r be z(5). Let j(s) be the first derivative of 12*s**2 - 3 + 2*s + 10*s + r - 5*s**3. Factor j(b).
-3*(b - 2)*(5*b + 2)
Factor -3 - 1/3*n**2 + 2*n.
-(n - 3)**2/3
Let o be 9/21 - -6*(-4)/56. Determine q, given that 6/5*q - 2/5*q**3 - 4/5 + o*q**2 = 0.
-2, 1
Determine l so that -6*l**3 - 4*l**3 + 6*l**3 - 12*l**2 + 16*l = 0.
-4, 0, 1
Let z be (-1)/5 + 6 + (-246)/45. Factor -2/3*p**2 + z + 0*p + 1/3*p**4 + 0*p**3.
(p - 1)**2*(p + 1)**2/3
Suppose -11*c = -2*c - 0*c. Let r(l) be the third derivative of c - 4*l**2 + 1/9*l**3 + 0*l - 1/180*l**5 + 1/72*l**4. Solve r(j) = 0 for j.
-1, 2
Let k(z) = -z**3 + z + 2. Let g be k(0). Suppose -2*u = -c, c - g*u - 2*u = -2. Let -3*o**4 - 3*o**5 + o**4 + c*o**2 + 2*o**3 + o**5 = 0. Calculate o.
-1, 0, 1
Factor 0*j**2 + 0 + 0*j**4 + 1/5*j - 2/5*j**3 + 1/5*j**5.
j*(j - 1)**2*(j + 1)**2/5
Suppose -4*a + 5*h = 8, 0 = -2*h + 6*h. Let f = a + 7/3. Solve -f*s**3 + 1/3*s**2 + 0*s + 0 = 0 for s.
0, 1
Let d(b) = 3*b**3 + 4*b**2 + 3*b. Let s(o) = o**3 - o - 1. Let f(z) = d(z) - 2*s(z). Determine l, given that f(l) = 0.
-2, -1
Let v = -37 - -44. Let t(a) be the third derivative of -1/105*a**v + 0*a**5 - 1/30*a**6 + 0 - 3*a**2 + 0*a + 1/6*a**4 + 1/3*a**3. Factor t(g).
-2*(g - 1)*(g + 1)**3
Let m(g) be the third derivative of -5*g**8/112 - 4*g**7/35 + 9*g**6/40 + 2*g**5/5 - g**4/2 - 3*g**2. Suppose m(r) = 0. What is r?
-2, -1, 0, 2/5, 1
Let o = 473 + -47297/100. Let l(i) be the second derivative of 0*i**4 + 0*i**3 + 0*i**2 + 3/50*i**6 + 2/35*i**7 - o*i**5 - 4*i + 0. Factor l(n).
3*n**3*(n + 1)*(4*n - 1)/5
Let -8/9 + 4/9*m - 4/9*m**3 - 4/9*m**4 + 4/3*m**2 = 0. What is m?
-2, -1, 1
Let q(k) be the second derivative of 0*k**3 + 0*k**2 + 1/18*k**4 + 0 - 1/63*k**7 + 3*k + 1/30*k**5 - 1/45*k**6. Determine b so that q(b) = 0.
-1, 0, 1
Let z = 81 - 76. Suppose 1/4*q**z + 0 + 5/4*q**2 - 3/4*q**3 - 1/2*q - 1/4*q**4 = 0. Calculate q.
-2, 0, 1
Let x(o) = 5*o**3 + 35*o**2 + 30*o + 25. Let u(g) = -1. Let l(m) = 25*u(m) + x(m). Factor l(n).
5*n*(n + 1)*(n + 6)
Let x(z) be the second derivative of z**8/840 + 2*z**7/525 - z**5/75 - z**4/60 - z**2/2 - z. Let r(t) be the first derivative of x(t). Factor r(h).
2*h*(h - 1)*(h + 1)**3/5
Let r be (-337)/(-3) + (-1)/(-1). Let t = -112 + r. Solve -t*s - 2/3*s**2 - 2/3 = 0.
-1
Let j(g) be the third derivative of g**5/120 - g**4/6 + 4*g**3/3 + 24*g**2. Find s, given that j(s) = 0.
4
Let c(b) be the second derivative of -b**5/5 + 3*b**4 - 18*b**3 + 54*b**2 - 5*b. Factor c(a).
-4*(a - 3)**3
Let d(w) be the third derivative of -w**5/150 + w**4/30 + 7*w**2. Find r, given that d(r) = 0.
0, 2
What is m in 15/4*m**3 - 1/2*m + 19/4*m**4 + 7/4*m**5 + 0 + 1/4*m**2 = 0?
-1, 0, 2/7
Suppose -7*r + 5*r - 3*b - 24 = 0, 0 = 4*r - 3*b + 84. Let i be (6 - 0)*r/(-81). Factor 2/3*m**2 - i - 2/3*m.
2*(m - 2)*(m + 1)/3
Suppose -2*t = -3*h + 2 + 1, 4*t + 3*h = 21. Let r(n) be the first derivative of -2*n + 3 - 4/3*n**3 + t*n**2. Let r(s) = 0. Calculate s.
1/2, 1
Let y = -2706/5 - -542. Factor -2/5*h**2 - 4/5*h**3 + y*h + 2/5*h**4 + 0.
2*h*(h - 2)*(h - 1)*(h + 1)/5
Factor -u**3 - 4*u**3 + 8*u**3 + 0*u**4 + 6 - 9*u**2 + 3*u**4 - 3*u.
3*(u - 1)**2*(u + 1)*(u + 2)
Suppose 0*i + 4 = i. Let a be (0 - i) + 216/45. Find r such that -4/5 + 3/5*r**2 + a*r - 1/5*r**4 - 2/5*r**3 = 0.
-2, 1
Solve -1/3*u**2 + 1/6*u - 1/6*u**3 + 1/3 = 0.
-2, -1, 1
Let n(j) be the first derivative of -j**5/55 + 5*j**4/66 + j**3/11 + 3*j + 8. Let f(k) be the first derivative of n(k). Solve f(b) = 0.
-1/2, 0, 3
Let m(s) = s**3 - s**2 - s. Let f = -7 + 12. Let t(i) = 0*i**2 + 2*i + f*i**2 - 4*i**3 - 5*i**2 + 2 + 5*i**2. Let h(x) = 10*m(x) + 2*t(x). Factor h(n).
2*(n - 1)**2*(n + 2)
Let s(a) be the first derivative of 7*a**6/6 - 41*a**5/20 - 7*a**4 - 49*a**3/12 - 3*a**2/4 - 5. Suppose s(f) = 0. What is f?
-1, -2/7, -1/4, 0, 3
Let b(f) = -8*f**2 - 7*f + 1. Let c(n) = 7*n**2 + 7*n. Let u(k) = -6*b(k) - 7*c(k). Factor u(v).
-(v + 1)*(v + 6)
Factor 0*q - 2/17*q**3 + 2/17*q**4 - 4/17*q**2 + 0.
2*q**2*(q - 2)*(q + 1)/17
Fi