2*p. Let g be h(-10). Let u be (0 - 8/g)*10. Determine a so that -9/2*a**2 + 0 - 5/2*a**3 + 7/2*a**5 - a + 9/2*a**u = 0.
-1, -2/7, 0, 1
Let h(l) = -9*l**3 - 4*l**2 + 24*l - 4. Let u(b) = 55*b**3 + 25*b**2 - 145*b + 25. Let o(z) = -25*h(z) - 4*u(z). Factor o(k).
5*k*(k - 2)*(k + 2)
Let t be ((-1)/(-7))/((-24)/14 - -2). Factor -1/4*n - t + 1/4*n**2.
(n - 2)*(n + 1)/4
Let v(s) be the second derivative of -s**4/18 - 2*s**3/3 + 7*s**2/3 + 18*s. Determine f so that v(f) = 0.
-7, 1
Let o = 0 + 21. Let b be 13/o - 4/14. Factor 0 + 1/3*y**2 - b*y.
y*(y - 1)/3
Suppose 5*n - 3*h - 28 = 0, 4*n - 4*h + 0*h - 24 = 0. Let g be (-138)/(-33) - (-4 - -8). Factor 2/11 + g*x - 4/11*x**3 + 2/11*x**4 + 2/11*x**n - 4/11*x**2.
2*(x - 1)**2*(x + 1)**3/11
Suppose 0 + 1/6*x - 1/2*x**2 + 1/2*x**3 - 1/6*x**4 = 0. Calculate x.
0, 1
Let o(c) be the third derivative of 0*c - 1/60*c**5 - c**2 + 0 + 1/40*c**6 - 1/8*c**4 + 1/6*c**3. Factor o(d).
(d - 1)*(d + 1)*(3*d - 1)
Let h(p) be the second derivative of -p**6/6 + p**5 - 5*p**4/2 + 10*p**3/3 - 5*p**2/2 + 11*p. Factor h(j).
-5*(j - 1)**4
Let w(x) = 3*x**2 - 6*x - 4. Let i(a) = a**2 - a - 1. Let y(c) = 4*i(c) - w(c). Factor y(o).
o*(o + 2)
Let x(l) be the first derivative of -5 - 1/4*l**4 + 1/5*l**5 + 0*l - 1/3*l**3 + 1/2*l**2. Suppose x(i) = 0. What is i?
-1, 0, 1
Let f(d) be the first derivative of 3*d**5/20 - 5*d**4/8 + d**3 - 3*d**2/4 + d/4 + 10. Factor f(g).
(g - 1)**3*(3*g - 1)/4
Let o be (-2)/1 - 1354/14. Let n = o + 99. Factor 2/7*w**4 + 0*w - n*w**3 + 0*w**2 + 0.
2*w**3*(w - 1)/7
Let p(s) be the third derivative of s**5/12 - 5*s**4/6 + 10*s**3/3 - 16*s**2. Factor p(k).
5*(k - 2)**2
Suppose 2*z + 2*z - 8 = 0. Factor -4*f**z + 2*f + 6*f**2 - f**2 - f.
f*(f + 1)
Suppose 0*g + 0 - 2/3*g**4 - 4/3*g**3 - 2/3*g**2 = 0. What is g?
-1, 0
Factor 6/7*l + 2/7*l**3 - 6/7*l**2 - 2/7.
2*(l - 1)**3/7
Let q(x) be the first derivative of -x**7/1680 + x**6/180 - x**5/60 - 2*x**3/3 + 4. Let f(i) be the third derivative of q(i). Factor f(u).
-u*(u - 2)**2/2
Let z(u) be the first derivative of -u**7/84 - u**6/30 - u**5/40 + 5*u + 7. Let x(n) be the first derivative of z(n). Let x(q) = 0. Calculate q.
-1, 0
Let y(o) be the first derivative of o**6/180 - o**5/45 - o**4/9 + 8*o**3/9 + 3*o**2 + 8. Let l(n) be the second derivative of y(n). Suppose l(m) = 0. What is m?
-2, 2
Let w = -87/2 + 44. Find y, given that w - 1/2*y**2 + 1/4*y**3 - 1/4*y = 0.
-1, 1, 2
Let n(o) be the third derivative of o**6/24 + o**5/4 + 5*o**4/12 + 16*o**2. Find c such that n(c) = 0.
-2, -1, 0
Let l = 701/10 + -70. Let s(v) be the second derivative of 1/15*v**4 - v - l*v**3 + 0 - 1/10*v**2. Factor s(m).
(m - 1)*(4*m + 1)/5
Let x(m) be the second derivative of m**5/240 - m**4/96 + m**2 + 3*m. Let q(a) be the first derivative of x(a). Solve q(z) = 0.
0, 1
Let p be ((54/105)/3)/((-6)/(-20)). Suppose 2*u - 5 = -1. Factor 4/7*g**4 + 2/7*g + 0*g**3 - p*g**u + 0 - 2/7*g**5.
-2*g*(g - 1)**3*(g + 1)/7
Factor 0*b**2 + 1/3*b**3 + 0 - 2/3*b**4 + 0*b + 1/3*b**5.
b**3*(b - 1)**2/3
Suppose 0 = -z - 6 + 9. Factor -3*p**3 + 4*p**3 + p**5 + 2*p**4 - 2*p**z + 2*p**3.
p**3*(p + 1)**2
Suppose -6*z - 20 = -2*z. Let n = 0 - z. Solve 1/3*m**n + 0 + 0*m**2 + 0*m**4 + 1/3*m - 2/3*m**3 = 0 for m.
-1, 0, 1
Let j(b) = -3*b**2 - 8*b - 3*b**2 + 4*b**2 + 3*b**2. Let p(m) = -m. Let x(i) = j(i) - 6*p(i). Factor x(s).
s*(s - 2)
Let d(s) be the first derivative of -5*s**4/4 - 5*s**3 - 15*s**2/2 - 5*s - 13. Suppose d(g) = 0. What is g?
-1
Let d(i) be the first derivative of -i**4/4 + 2*i**3 + 4*i**2 - 2*i + 2. Let k be d(7). Factor 1/2*r**k + 0 + 3/2*r**4 + 0*r + 1/2*r**2 + 3/2*r**3.
r**2*(r + 1)**3/2
Let g = -31/48 + 313/336. What is w in 4/7*w**2 - g*w**4 - 2/7*w**3 + 0*w + 0 = 0?
-2, 0, 1
Let t be (-9)/((-45)/10) + 1. Factor 0 - 3/2*l**3 - t*l**2 - 3/2*l.
-3*l*(l + 1)**2/2
Let t = 9/5 - 22/15. Let o(r) be the first derivative of -1/8*r**2 + 1/5*r**5 - 3/8*r**4 - 1/24*r**6 - 1 + 0*r + t*r**3. Factor o(w).
-w*(w - 1)**4/4
Let r(w) be the second derivative of w**5/4 - 5*w**4/6 + 5*w**3/6 + w. Determine u so that r(u) = 0.
0, 1
Let 0 - 3/4*z - 1/4*z**2 = 0. What is z?
-3, 0
Let b = 4068/5 + -812. Let -18/5*h**2 - b*h**3 - 2/5 - 12/5*h = 0. Calculate h.
-1, -1/4
Let y(u) be the second derivative of u**7/84 + u**6/12 + u**5/5 + u**4/6 - 8*u. Factor y(z).
z**2*(z + 1)*(z + 2)**2/2
Suppose 2*u**5 + 10/3*u - 4/3*u**4 + 4*u**2 - 16/3*u**3 - 8/3 = 0. Calculate u.
-4/3, -1, 1
Let s(v) be the second derivative of -v**7/168 + v**6/80 + v**5/80 - v**4/24 + 2*v**3/3 - 3*v. Let z(u) be the second derivative of s(u). Solve z(b) = 0.
-1/2, 2/5, 1
Let z(i) be the first derivative of -i**4/6 - 2*i**3/3 - 2*i - 3. Let o(q) be the first derivative of z(q). Factor o(j).
-2*j*(j + 2)
Let f(z) be the first derivative of -z**5/4 + 55*z**4/16 - 15*z**3 + 10*z**2 + 80*z + 34. Solve f(g) = 0 for g.
-1, 4
Let u = 20 - 18. Let d(y) be the first derivative of -1/3*y**4 + 2/15*y**5 + 2/9*y**3 + 0*y**2 + 0*y + u. Determine p, given that d(p) = 0.
0, 1
Let g(t) = t + 2. Let q be g(-2). Let m be ((0 - 0) + -1)*q. Find k such that 1/3*k**2 - 2/3*k**5 + 0*k + m + 0*k**3 - k**4 = 0.
-1, 0, 1/2
Find j, given that 11*j**4 - 2*j**3 - 2*j**3 - 3*j**4 - 8*j**2 + 4*j**5 = 0.
-2, -1, 0, 1
Let o(p) be the second derivative of 361*p**4/4 + 38*p**3 + 6*p**2 - 5*p. Factor o(b).
3*(19*b + 2)**2
Let p(z) be the third derivative of z**7/105 - z**6/90 - 2*z**5/45 + z**4/18 + z**3/9 - 2*z**2. Find i such that p(i) = 0.
-1, -1/3, 1
Let c(q) be the third derivative of 0*q + 1/84*q**4 + 0*q**3 + 1/210*q**5 + 3*q**2 + 0. Find a such that c(a) = 0.
-1, 0
Let k(v) = 4*v**2 + 9*v + 1. Let s(z) = 3*z**2 + 6*z + 1. Let a(l) = -5*k(l) + 7*s(l). Factor a(y).
(y - 2)*(y - 1)
Let t(u) be the first derivative of 2*u**4 + 4/5*u + 12/5*u**2 + 12/25*u**5 + 16/5*u**3 + 4. Factor t(p).
4*(p + 1)**3*(3*p + 1)/5
Let q = 0 + 5. Let f(h) = 3*h**3 - 27*h**2 - 18*h + 3. Let s(m) = -2*m**3 + 14*m**2 + 9*m - 2. Let y(l) = q*f(l) + 9*s(l). Factor y(c).
-3*(c + 1)**3
Suppose -5*s = -2*v - 6, 5*s + 2*v + 1 = -5. Let c(q) be the third derivative of 2*q**2 + 1/6*q**4 + 1/60*q**6 - 1/10*q**5 + 0 + 0*q**3 + s*q. Factor c(w).
2*w*(w - 2)*(w - 1)
Let v(o) = -10*o**2 - 12*o - 8. Let z(h) = -h**2. Let f(m) = v(m) - 6*z(m). Factor f(p).
-4*(p + 1)*(p + 2)
Let i = -1074/7 - -5199/28. Let d(t) be the first derivative of 18*t**5 + 1 + 24*t**3 - 6*t**2 - 7/2*t**6 - i*t**4 + 0*t. Suppose d(o) = 0. Calculate o.
0, 2/7, 1, 2
Let h = -2347/3 + 789. Solve 0 + 2*y**4 + h*y**3 + 56/9*y**2 + 16/9*y = 0 for y.
-2, -2/3, 0
Let s(a) be the second derivative of -5*a**5/6 + 35*a**4/18 - 11*a**3/9 + a**2/3 + 9*a. Find b such that s(b) = 0.
1/5, 1
Let g(i) = i**4 - 11*i**3 + 5*i**2 - 3*i - 5. Let h(y) = -y**4 + 6*y**3 - 3*y**2 + 2*y + 3. Let r(t) = -3*g(t) - 5*h(t). Solve r(b) = 0 for b.
-1, 0, 1/2
Let c(o) be the second derivative of -11/12*o**4 - 4/5*o**5 + 0*o**2 + 3*o - 1/3*o**3 + 0 - 7/30*o**6. Factor c(w).
-w*(w + 1)**2*(7*w + 2)
Let i(o) be the first derivative of -2*o**5/5 - 7*o**4/2 - 12*o**3 - 20*o**2 - 16*o + 9. Suppose i(l) = 0. Calculate l.
-2, -1
Let z(i) = 2*i. Let k be z(3). Let j(b) be the second derivative of 1/8*b**2 - 1/40*b**5 + 0 + 1/12*b**3 - b - 1/120*b**k + 0*b**4. Let j(m) = 0. Calculate m.
-1, 1
Let z(m) be the first derivative of 4*m**3/7 + 34*m**2/7 - 24*m/7 + 7. Solve z(w) = 0 for w.
-6, 1/3
Let h(n) = -n**4 + n**2 + n. Let w(u) = 3*u**4 + 2*u**3 + u**2 - 15*u + 4. Let k(a) = -5*h(a) - w(a). Find r, given that k(r) = 0.
-2, 1
Factor -33/2*a - 15 - 3/2*a**2.
-3*(a + 1)*(a + 10)/2
Let p = 31 + -21. Determine r so that 7*r - 9*r**2 - 12*r**3 + 0*r + 2 - 3*r**4 + 5*r + p = 0.
-2, -1, 1
Let z(o) = -o**3 - 5*o**2 + 3*o - 8. Let m be z(-6). Let y be 4/m - 10/25. Factor y*q**2 + 1/2*q + 0 - 1/2*q**3.
-q*(q - 1)*(q + 1)/2
Let u = -59 - -179/3. Factor -1/3 - u*z + 2/3*z**3 + 1/3*z**4 + 0*z**2.
(z - 1)*(z + 1)**3/3
Let n(u) = u**4 - 2*u**3 - 3*u**2 + 4*u - 1. Let d(s) = -1. Let a(p) = -5*d(p) + n(p). Factor a(o).
(o - 2)**2*(o + 1)**2
Let y(r) be the second derivative of -1/270*r**5 + 0 - r - 1/2*r**2 + 0*r**3 - 1/108*r**4. Let w(b) be the first derivative of y(b). Factor w(k).
-2*k*(k + 1)/9
Let u(v) be the second derivative of -v**6/90 + 7*v**5/60 - v**4/2 + 10*v**3/9 - 4*v**2/3 - 3*v. Fa