 = 0.
-1, 0, 1
Solve -1/3*p**3 + 0 + 2/3*p + 1/3*p**2 = 0.
-1, 0, 2
Let p(n) be the first derivative of -n**4/12 + 4*n**3/3 - 8*n**2 + 8*n + 6. Let w(r) be the first derivative of p(r). Factor w(x).
-(x - 4)**2
Let p(c) be the second derivative of 6*c - 1/12*c**4 + 0 - c**2 - 1/2*c**3. Suppose p(y) = 0. Calculate y.
-2, -1
Let m(y) = -1 - y**2 - 5*y + 2 + 7. Let s = -11 + 5. Let n(j) = -j**2 - 4*j + 7. Let x(l) = s*n(l) + 5*m(l). Factor x(p).
(p - 2)*(p + 1)
Let d(c) be the third derivative of 0*c - 1/24*c**3 - 1/48*c**4 + 0 - 2*c**2 - 1/240*c**5. Factor d(x).
-(x + 1)**2/4
Let o(u) be the second derivative of u**8/840 - u**7/420 - u**6/180 + u**5/60 - u**3/2 - 4*u. Let q(n) be the second derivative of o(n). Factor q(k).
2*k*(k - 1)**2*(k + 1)
Let h(y) be the third derivative of y**8/840 - 2*y**7/525 - y**6/100 + 2*y**5/75 + y**4/15 - 6*y**2. What is o in h(o) = 0?
-1, 0, 2
Let i be (-143)/(-5) + 6/15. Factor -5*u**2 + 7 + 2*u**2 - 5 - 18*u - i.
-3*(u + 3)**2
Let l be 2/(-9) + (-1680)/(-7317). Let s = l + 532/1355. Factor 2*h**2 - s*h - 2/5 - 6/5*h**3.
-2*(h - 1)**2*(3*h + 1)/5
Suppose -q = c + 9, 0 = q + q - 4*c - 6. Let u = q - -9. Factor -2*b**3 + 3*b**2 - 12 - 12*b**u + 12 - 7*b**3.
-3*b**2*(b + 1)*(4*b - 1)
Let l(v) be the first derivative of v**5/5 + v**4/4 - v**3 - 5*v**2/2 - 2*v + 13. Determine f, given that l(f) = 0.
-1, 2
Let m = -1223 - -3566/3. Let o = 35 + m. Factor 0 + 2/3*l**4 - 2/3*l + 2/3*l**3 - o*l**2.
2*l*(l - 1)*(l + 1)**2/3
Let v(l) be the first derivative of l**6/45 - l**5/12 + l**4/12 + l**3/3 - 3. Let d(z) be the third derivative of v(z). Factor d(r).
2*(r - 1)*(4*r - 1)
Let n(h) be the first derivative of -h**2 - 7*h - 1. Let s be n(-5). Factor g**s + 0*g + 0*g.
g**3
Solve 6 - 5*k**2 - 10*k - 5*k + 14 = 0 for k.
-4, 1
Let m(j) = -5*j**3 - 2*j**2 + 3*j**2 - j**4 + 4*j**3. Let v(b) = -b**5 - 6*b**4 - 4*b**3 + 6*b**2. Let s(n) = -5*m(n) + v(n). Let s(y) = 0. Calculate y.
-1, 0, 1
Let g(w) = -2*w**4 + w**3 + 2*w**2 + 5*w - 3. Let p(a) = 9*a - 5*a**4 + a**4 - 4*a**3 + 4*a**2 + a**3 - 5 + 4*a**3. Let c(j) = 5*g(j) - 3*p(j). Factor c(b).
2*b*(b - 1)*(b + 1)**2
Let h(c) be the third derivative of 0*c + 0*c**3 - 1/84*c**4 + 0 + 7*c**2 - 1/420*c**5. Factor h(a).
-a*(a + 2)/7
Suppose 6 = 5*t - 3*t. Determine u so that 0*u**3 + 2*u**4 - 3*u**4 + u**t - u + u**2 = 0.
-1, 0, 1
Let u(q) be the second derivative of 7*q + 0*q**3 + 0 + 0*q**2 - 1/28*q**4 - 3/140*q**5. Let u(t) = 0. What is t?
-1, 0
Factor 0 + 1/9*w**2 + 0*w.
w**2/9
Find c, given that 2/5*c**4 + 0 + 1/5*c**3 + 0*c - 2/5*c**2 - 1/5*c**5 = 0.
-1, 0, 1, 2
Let q(n) be the second derivative of n**5/50 + n**4/5 - n**3 + 8*n**2/5 - 4*n - 5. Factor q(x).
2*(x - 1)**2*(x + 8)/5
Let v be 4/(-24)*(-2 + 0/(-1)). Determine z, given that 0*z + 1/3 + 0*z**3 - 2/3*z**2 + v*z**4 = 0.
-1, 1
Let v be (-3 + 3 - 3) + 5. Let m be -4*9/21 + v. Factor 2/7*g**4 - 2/7*g**5 - 2/7*g**2 + m*g**3 + 0 + 0*g.
-2*g**2*(g - 1)**2*(g + 1)/7
Let j be 32/14 - (-106)/(-371). Factor 6*b**3 - 1/4 - 1/4*b**j - 4*b**4 - 3/2*b.
-(b - 1)**2*(4*b + 1)**2/4
Determine g, given that -54/5*g**5 - 186/5*g**4 - 32/5*g - 134/5*g**2 - 142/3*g**3 - 8/15 = 0.
-1, -2/9
Let l be 25/15*(2 + 1). Let p(x) be the third derivative of 1/6*x**3 + 2*x**2 - 1/12*x**4 + 1/80*x**l + 0*x + 0. Solve p(o) = 0 for o.
2/3, 2
Let 0*c - 3/4*c**3 + 0 + 1/4*c**2 = 0. Calculate c.
0, 1/3
Let m(q) be the first derivative of -4*q**3 - 4*q**2 + 5/2*q**4 + 2 + 16*q - 2/5*q**5. Solve m(c) = 0.
-1, 2
Suppose -5*t + 0*t + 15 = 0. Let -3*s**3 + t*s**5 + 11*s**2 + 0*s**5 - 8*s**2 - 3*s**4 = 0. Calculate s.
-1, 0, 1
Let x(k) be the third derivative of -k**6/300 - k**5/75 - k**4/60 - 6*k**2. Factor x(c).
-2*c*(c + 1)**2/5
Let w(y) be the second derivative of -2*y**6/75 - y**5/25 + y**4/5 + 2*y**3/3 + 4*y**2/5 - 2*y. Factor w(c).
-4*(c - 2)*(c + 1)**3/5
Let j(s) be the third derivative of 1/60*s**5 - 1/24*s**4 - 1/6*s**3 + 0*s - 1/360*s**6 - 2*s**2 + 0. Let o(r) be the first derivative of j(r). Factor o(m).
-(m - 1)**2
Let -4*u**2 - 2*u**3 - 7 + 8 - 1 = 0. Calculate u.
-2, 0
Let b be (((-4)/12)/(-1))/1. Suppose 10 = 5*k - 4*w, k + 2 = 2*k - 4*w. Factor -2/3*v + 1/3*v**k + b.
(v - 1)**2/3
Suppose -2*q - 12 = -u, 7*u - 2*u - 5*q = 55. Factor -1/4 - 5/2*x - 33/4*x**2 - u*x**3 - 4*x**4.
-(x + 1)**2*(4*x + 1)**2/4
Let y be (4/10)/(1/(-35)). Let c be (-11)/22 + y/(-12). Factor -2/3 - 2/3*g**3 + c*g + 2/3*g**2.
-2*(g - 1)**2*(g + 1)/3
Let l(y) = -y**3 - 3*y**2 + y - 9. Let s be l(-4). Factor 28*m**s + 4*m**4 + 8 + 26*m**2 + 2*m**4 + 32*m - 7*m**2 + 27*m**2.
2*(m + 1)**2*(m + 2)*(3*m + 2)
Let s(a) be the second derivative of -a**4/36 - a**3/6 - a**2/3 - 5*a. Factor s(z).
-(z + 1)*(z + 2)/3
Suppose 0*z + 5*z = -5. Let x be ((-8)/12)/(z/3). Determine t, given that -5*t + t**x + t + t**2 = 0.
0, 2
Let f = -31 + 19. Let q be (-7)/f - 2/8. Factor q*j**2 + 0 - 1/3*j.
j*(j - 1)/3
Let c = -8 - -10. Suppose 4*r**5 - 16*r + 13*r**3 - 16*r**4 + 35*r**2 - r**3 - 19*r**c = 0. What is r?
-1, 0, 1, 2
Let t(y) be the second derivative of 0 + 4*y + 0*y**4 - 9/20*y**5 + 0*y**2 + 1/10*y**6 + 2*y**3. Factor t(x).
3*x*(x - 2)**2*(x + 1)
Let m be 6/(-10) + (-2398)/770 + 4. Factor 2/7*c + m*c**2 - 4/7.
2*(c - 1)*(c + 2)/7
Let f(r) be the third derivative of -r**6/840 + r**5/140 + r**4/28 - 4*r**3/21 + 14*r**2. Determine d, given that f(d) = 0.
-2, 1, 4
Let l(p) be the second derivative of -p**5/20 + p**4/4 - 2*p**2 + 6*p. Suppose l(t) = 0. Calculate t.
-1, 2
Factor 5*z**4 + 4 - 8*z**2 - z**4 - 4*z**4 + 4*z**4.
4*(z - 1)**2*(z + 1)**2
Suppose -4*q = -2*w - 4, -w = 5*q - 6*w - 10. Let z(y) = -y - 3. Let t be z(-5). Factor -8*n**3 - 10*n**t - 4*n + q*n**2 - n**4 - n**4.
-2*n*(n + 1)**2*(n + 2)
Let s(p) be the second derivative of 1/100*p**5 - 1/30*p**3 + 0*p**2 + 0 + 6*p + 0*p**4. Factor s(x).
x*(x - 1)*(x + 1)/5
Let z = -365 + 3289/9. Let p(k) be the second derivative of -2/3*k**2 + 0 + 7/9*k**3 - z*k**4 + 1/10*k**5 + k. Factor p(u).
2*(u - 1)**2*(3*u - 2)/3
Let c be -1*(1 + 3/(-1)). Let x be (-12)/18 + c + -1. Suppose -x*s**2 - 1/3 - 2/3*s = 0. What is s?
-1
Let j(m) be the first derivative of 0*m**3 + 4*m**2 - 3 + 0*m - 9/2*m**4. Factor j(q).
-2*q*(3*q - 2)*(3*q + 2)
Let z(x) be the first derivative of 13/12*x**2 - 1 + 1/8*x**4 - 1/2*x - 13/18*x**3. Determine v, given that z(v) = 0.
1/3, 1, 3
Let p(t) be the third derivative of t**8/24 + 8*t**7/105 + t**6/60 + 20*t**2. Factor p(q).
2*q**3*(q + 1)*(7*q + 1)
Let p(u) be the first derivative of -u**3/12 - u**2/8 + u/2 - 8. Suppose p(f) = 0. Calculate f.
-2, 1
Factor 6*p**3 + 3*p**3 + 44*p**2 - 30*p + 26*p**3 - 139*p**2.
5*p*(p - 3)*(7*p + 2)
Factor 0*x + 0 + 1/5*x**3 + 1/5*x**2.
x**2*(x + 1)/5
Let p(b) be the first derivative of -b**3/3 + b**2/2 + 2. Let x(q) = q**3 + 2*q**2 - q. Let d(h) = p(h) + x(h). What is z in d(z) = 0?
-1, 0
Suppose 0 = 2*i + 3*i - 25. Factor -3*m**4 + 2*m**i - m**4 - 2*m**3 + 2*m**2 + 2*m**4.
2*m**2*(m - 1)**2*(m + 1)
Let n(t) = 3*t**2 - 3*t + 6. Let i(d) = 2*d**2 - 2*d + 5. Let k(o) = 6*i(o) - 5*n(o). Solve k(z) = 0 for z.
0, 1
Let t(u) be the third derivative of u**5/60 + 3*u**4/8 - 5*u**3/3 + 15*u**2. Suppose t(a) = 0. Calculate a.
-10, 1
Suppose 0 = 14*d - 59 + 17. Let g(w) be the third derivative of 1/42*w**4 + 0*w - 1/210*w**5 - 1/21*w**d + 0 + 4*w**2. Factor g(a).
-2*(a - 1)**2/7
Let n(m) = m**3 - 9*m**2 - 9*m - 8. Let l be n(10). Let p(h) be the first derivative of -h**3 + 0*h + l - 1/2*h**2. Suppose p(k) = 0. What is k?
-1/3, 0
Let j(g) be the first derivative of -2*g**5/25 + g**4/5 - 2*g**3/15 + 11. Find i such that j(i) = 0.
0, 1
Let 0*t**2 + 3*t + 2 + 0*t**2 + 2*t**2 - t**2 = 0. Calculate t.
-2, -1
Let p be (-1 - 0)/((-1)/4). Solve -g**3 + 2*g**3 - p*g**4 + 3*g**4 = 0.
0, 1
Let s be 5 - (-136)/(-36) - 1. Factor 0 + s*r - 2/9*r**4 + 2/9*r**2 - 2/9*r**3.
-2*r*(r - 1)*(r + 1)**2/9
Let z(j) be the third derivative of 6*j**2 + 0*j**4 + 1/100*j**5 + 0*j**3 + 1/200*j**6 + 0*j + 0. Factor z(l).
3*l**2*(l + 1)/5
Let n(d) be the first derivative of 8/5*d + 1/2*d**4 - 1 - 8/5*d**2 - 2/25*d**5 + 2/15*d**3 - 1/15*d**6. Find r such that n(r) = 0.
-2, 1
Let q = -321/20 + 84/5. Let w(t) be the second derivative of -q*t**2 - 1/24*t**4 - t + 0 - 1/3*t**3. Let w(i) = 0. Calculate i.
-3, -1
Let z(w) be the third derivati