*s**4 - 2/11*s**2 + r*s**3 + 0 = 0.
-1, 0, 1
Solve -8/11 + 24/11*p - 26/11*p**2 + 12/11*p**3 - 2/11*p**4 = 0 for p.
1, 2
Let y(n) = -6*n**4 - 8*n**3 - 24*n**2 + 16. Let v(k) = -2*k**4 - 3*k**3 - 8*k**2 + 5. Let i(b) = 16*v(b) - 5*y(b). Find p such that i(p) = 0.
-2, 0
Suppose -2*b = -4*b + 16. Factor b*u**3 - 8*u**2 - u**4 - 2*u**3 - 5*u**2 + 12*u - 4.
-(u - 2)**2*(u - 1)**2
Let q(x) be the third derivative of -x**11/55440 - x**10/37800 + x**5/30 + 3*x**2. Let j(p) be the third derivative of q(p). Factor j(u).
-2*u**4*(3*u + 2)
Solve 8/9*z - 8/9*z**2 - 2/9*z**3 + 0 + 2/9*z**4 = 0.
-2, 0, 1, 2
Let h be ((-3)/((-12)/(-8)))/(-1). Let o(d) be the first derivative of -2*d + h*d**2 + 2 - d**4 + 2/5*d**5 + 0*d**3. Determine n, given that o(n) = 0.
-1, 1
Let o(n) be the second derivative of -n**7/42 - n**6/5 - 7*n**5/10 - 4*n**4/3 - 3*n**3/2 - n**2 + 4*n. Solve o(l) = 0.
-2, -1
Let f be (-14)/(-7) + 1*-7. Let h be (-9)/9*2/f. Factor h*m**2 - 2/5*m + 0.
2*m*(m - 1)/5
Let h(m) be the second derivative of -m**4/12 - m**3/2 - m**2 - 13*m. Suppose h(k) = 0. What is k?
-2, -1
Suppose -4*h + 3*y - 1 = -6*h, 5*h + 4*y = 13. Let s be 1/h + 2/(-10). Factor -p**5 + s*p**2 + 2*p**5 + p**2 + 3*p**3 + 3*p**4.
p**2*(p + 1)**3
Let s = 13/45 + 1/9. Let c = 2811/5 - 559. Determine u so that 32/5*u**4 - 14/5*u**2 - s*u - c*u**3 + 0 = 0.
-1/4, 0, 1
Let r(t) be the first derivative of t**9/3024 - t**8/1680 + t**3 - 2. Let s(f) be the third derivative of r(f). Factor s(m).
m**4*(m - 1)
Let l = 1029 - 1029. Determine f, given that 4/7*f - 2/7*f**3 + l + 2/7*f**2 = 0.
-1, 0, 2
Solve 2/13 + 2/13*f**2 + 4/13*f = 0 for f.
-1
Let b(r) be the first derivative of -r**6/540 - r**5/90 - r**4/36 + 7*r**3/3 + 3. Let y(z) be the third derivative of b(z). Let y(d) = 0. Calculate d.
-1
Let s = 49 - 49. Let l(y) be the first derivative of s*y + 0*y**3 - 3 - 1/16*y**4 - 1/20*y**5 + 0*y**2 + 1/12*y**6. Factor l(z).
z**3*(z - 1)*(2*z + 1)/4
Let a(b) be the second derivative of -b**6/40 - 3*b**5/5 - 6*b**4 - 32*b**3 - 96*b**2 - 38*b. Factor a(u).
-3*(u + 4)**4/4
Let v(b) be the second derivative of -5*b**4/3 - 35*b**3/6 + 5*b**2 - 20*b. Find m, given that v(m) = 0.
-2, 1/4
Let j = -1396 + 1398. Find n, given that 1/3*n**j + 2/3 - n = 0.
1, 2
Suppose -3/7*j**2 + 0 - 1/7*j**3 - 2/7*j = 0. What is j?
-2, -1, 0
Suppose -7*s + 9*s = 32. Find l such that -s*l**2 - 3*l**3 - 3*l**3 + 19*l**2 = 0.
0, 1/2
Let c(v) = -v**3 - v**2. Let m(a) be the first derivative of -9*a**4/4 - a**3 - 3. Let o(j) = 6*c(j) - m(j). Factor o(h).
3*h**2*(h - 1)
Solve -4/9*y + 10/9*y**2 + 2*y**3 - 14/9*y**5 - 10/9*y**4 + 0 = 0.
-1, 0, 2/7, 1
Let t(n) be the first derivative of -13*n**5/5 + 4*n**3 + 7*n**2/2 - 13*n - 1. Let h(w) = -9*w**4 + 8*w**2 + 5*w - 9. Let b(l) = -7*h(l) + 5*t(l). Factor b(p).
-2*(p - 1)**2*(p + 1)**2
Let m(c) be the second derivative of 1/357*c**7 + 0*c**2 + 0*c**3 - 4*c + 24/85*c**5 - 4/85*c**6 - 32/51*c**4 + 0. Factor m(r).
2*r**2*(r - 4)**3/17
Let z(i) be the first derivative of i**2 - 5 - 4*i + 2/3*i**3. Factor z(n).
2*(n - 1)*(n + 2)
Let n(t) be the third derivative of -1/12*t**3 + 0*t + 7/96*t**4 + 1/60*t**5 + 4*t**2 + 0. Let n(b) = 0. What is b?
-2, 1/4
Suppose 3*p + 4 - 10 = 0. Factor -23*q**2 - 21*q**3 - 36*q - 10*q**2 - 8 - 15*q**p + q**3.
-4*(q + 1)**2*(5*q + 2)
Factor 12*g - g**2 + 2 - 21*g + 8*g.
-(g - 1)*(g + 2)
Let l = 277/12 + -91/4. Let g(m) be the second derivative of 4*m + 0*m**2 + 0 - l*m**3 + 1/6*m**4. Factor g(n).
2*n*(n - 1)
Suppose -p - 4 = -5*p. Suppose -2*k + 3 = p. Find r, given that 2*r - r - r**3 + 2 - 2*r**2 + r**2 - k = 0.
-1, 1
Factor -2*m**3 - 2*m**2 - 10*m**3 - m**2 - 9*m**4.
-3*m**2*(m + 1)*(3*m + 1)
Determine f, given that 0*f**2 - 1/2*f + 0 + 1/2*f**3 = 0.
-1, 0, 1
Let l be 89/7 - 20/(-70). Find g such that 9*g + 2 + l*g**2 + 8*g**2 - 14*g**2 = 0.
-1, -2/7
Let c = -34 - -176/5. Factor -6/5*u**2 - 2/5 - 2/5*u**3 - c*u.
-2*(u + 1)**3/5
Let c be (-10)/3*9/(-6). Suppose -r - 2*d + 1 = -3, 0 = r + 3*d - c. Factor -g**3 - r*g**2 + 4*g**3 - 5*g**3.
-2*g**2*(g + 1)
Let c(v) = -15*v**2 + v - 1. Let l be c(1). Let r be 3/(-1)*2/l. Solve r + 0*p - 2/5*p**2 = 0.
-1, 1
Let f = 280 - 549/2. Let x = -5 + f. Factor 3/2*v**2 + 0 - 2*v**3 + x*v.
-v*(v - 1)*(4*v + 1)/2
Let m(c) be the first derivative of -c**6/8 - 3*c**5/20 + 3*c**4/8 + c**3/2 - 3*c**2/8 - 3*c/4 + 1. Solve m(s) = 0 for s.
-1, 1
Let d(g) be the first derivative of g**8/504 - g**7/105 + g**6/60 - g**5/90 - 3*g**2/2 + 4. Let m(l) be the second derivative of d(l). Factor m(j).
2*j**2*(j - 1)**3/3
Let g(d) = d**5 - 11*d**4 + 9*d**3 - 9*d**2. Let n(q) = -q**5 + 6*q**4 - 5*q**3 + 4*q**2. Let b(j) = 2*g(j) + 5*n(j). Factor b(f).
-f**2*(f - 1)**2*(3*f - 2)
Let j(f) be the first derivative of 12*f**5/5 + 55*f**4/4 + 199*f**3/9 + 44*f**2/3 + 4*f + 33. Find l such that j(l) = 0.
-3, -2/3, -1/4
Let k be (6/15)/((-64)/(-120)). Factor 0*x**3 + 0*x**2 - k*x**5 + 0*x + 0 - 3/4*x**4.
-3*x**4*(x + 1)/4
What is d in -22*d**4 + 21*d - 24*d**4 - d + 56*d**2 - 12*d**3 - 14*d**5 - 4*d = 0?
-2, -2/7, 0, 1
Let l(r) = -2*r**3 + 2*r - 3. Let q(w) = -5*w**3 + w**2 + 6*w - 8. Let p(z) = 8*l(z) - 3*q(z). Suppose p(b) = 0. Calculate b.
-2, -1, 0
Let y(r) be the third derivative of 10*r**7/21 - 11*r**6/3 + 47*r**5/5 - 22*r**4/3 + 8*r**3/3 + 51*r**2. Factor y(a).
4*(a - 2)**2*(5*a - 1)**2
Let u(p) be the second derivative of p**7/21 - p**5/10 + 7*p. Suppose u(j) = 0. Calculate j.
-1, 0, 1
Factor 6 - 12*c - 2 - 3*c**2 - 4.
-3*c*(c + 4)
Suppose -20 = -4*h + 4*m, 0 = -5*h + m + 21 + 4. Solve -4/3*z**4 - 4/3*z**3 + 2/3 + 2/3*z**2 - 1/3*z**h + 5/3*z = 0 for z.
-2, -1, 1
Let s(c) be the second derivative of c**6/60 + c**5/6 + 2*c**4/3 + 4*c**3/3 + 2*c**2 - 3*c. Let x(p) be the first derivative of s(p). Factor x(q).
2*(q + 1)*(q + 2)**2
Let x = 4 - 4. Let c(y) be the second derivative of -y + x + 0*y**3 - 1/10*y**5 + 1/6*y**4 + 0*y**2. Factor c(g).
-2*g**2*(g - 1)
Factor 0 + 2/3*w**2 + 0*w + 1/3*w**3.
w**2*(w + 2)/3
Let a be (-4)/10 + 26/(-10). Let p(r) = 8*r - 2*r + r**3 - 6*r. Let g(i) = 5*i**3 - 6*i**2 + 6*i - 2. Let m(d) = a*p(d) + g(d). Factor m(h).
2*(h - 1)**3
Let l be ((-6)/(-6))/((-2)/(-10)). Suppose 5*g + 6 = -5*y + 16, -5 = l*y. Factor b + 0 + 7/4*b**g - 4*b**2.
b*(b - 2)*(7*b - 2)/4
Let p(t) be the third derivative of -1/30*t**6 + 0*t**3 + 0*t**4 + 0*t + 2/15*t**5 + 0 - 2/105*t**7 + 6*t**2. Find k such that p(k) = 0.
-2, 0, 1
Let b be 2/10 - (-126)/270. Let w be 35/15 - 2/2. Factor 2*r**2 + b*r - w.
2*(r + 1)*(3*r - 2)/3
Let k(t) be the third derivative of -t**7/6300 - t**6/225 - 4*t**5/75 + t**4/24 - 4*t**2. Let q(f) be the second derivative of k(f). Factor q(b).
-2*(b + 4)**2/5
Let x(y) = 3*y**4 + 4*y**2 + 4*y - 4*y**3 - 8*y**4 + y**3. Let q(j) = -4*j**4 - 2*j**3 + 3*j**2 + 3*j. Let o(k) = -4*q(k) + 3*x(k). Factor o(l).
l**3*(l - 1)
Suppose -4 = z, -z - 6 = -5*p - 2*z. Determine j so that 2*j**3 - 3 - j**3 + p + j**2 + 2*j - 3*j = 0.
-1, 1
Suppose 6*y - 6*y + y = 0. Let k(z) be the first derivative of y*z - 5 + 3/10*z**2 - 1/5*z**3. Solve k(w) = 0 for w.
0, 1
Let d(q) = -3*q**2 - 14*q - 9. Let a(z) = 30*z**2 + 141*z + 90. Let m(t) = 2*a(t) + 21*d(t). Solve m(w) = 0.
-3, -1
Suppose 0 = -5*w + 3*w + 14. Suppose -5*m - w = -4*i, -5*m = i - 1 - 7. Factor 1 + 6*q**3 - 4*q + 2*q**4 - 2*q**3 - i.
2*(q - 1)*(q + 1)**3
Let v(n) be the second derivative of -23/20*n**5 + 7/30*n**6 + 0 + 9/4*n**4 + n**2 - 4*n - 13/6*n**3. Factor v(x).
(x - 1)**3*(7*x - 2)
Let i(x) be the first derivative of 4*x**3/21 - 20*x**2/7 + 100*x/7 - 2. Factor i(d).
4*(d - 5)**2/7
Let q(a) = a**2 + 1. Let o(s) = 5*s**2 + 8*s - 10. Let g(r) = o(r) - 6*q(r). Determine y, given that g(y) = 0.
4
Let t(y) = -11*y**2 + 2*y + 9. Let x(q) be the second derivative of 5*q**4/12 - q**3/6 - 2*q**2 - q. Let o(i) = 4*t(i) + 9*x(i). Factor o(p).
p*(p - 1)
Determine n so that 2/3*n**2 - 13/12*n - 4/3*n**5 + 47/12*n**3 + 1/6 + 2/3*n**4 = 0.
-1, 1/4, 2
Let z(v) be the third derivative of -v**5/180 + v**4/18 - 2*v**3/9 + v**2. Factor z(u).
-(u - 2)**2/3
Let z(x) = x + 3. Let t be z(-1). Factor 3*y - 2 - 3/2*y**t + 1/4*y**3.
(y - 2)**3/4
Let o(d) = -d**2 - 1. Let p = -5 - 1. Let i(w) = 3*w**2 + 30*w + 3. Let t(n) = p*o(n) + i(n). Let t(y) = 0. Calculate y.
-3, -1/3
Let l(u) be the second derivativ