*h**3 - h + 2*h**2 + 2*h**b - 2*h**2.
-h*(h - 1)**2
Let b be (-100)/96*(-1)/2. Let y(r) be the second derivative of -1/2*r**2 + 0 - 5/6*r**3 - b*r**4 - 2*r. Factor y(j).
-(5*j + 2)**2/4
Let n(i) = -3*i**2 - 24*i + 72. Let v(a) = -8*a**2 - 72*a + 216. Let f(d) = -14*n(d) + 5*v(d). Suppose f(b) = 0. Calculate b.
6
Solve -16*y**2 - 4*y**3 - 32*y + 14*y**3 - 12*y**3 = 0.
-4, 0
Let w(i) = i**3 - 4*i**2 - 3*i - 7. Let t be w(5). Determine d so that 5*d**3 - 4*d**2 - d**4 - 4 - d**t + 4 = 0.
0, 2
Let 4 - 16*a**3 + a**4 + 13*a**2 + 6*a**3 - 12*a + 4*a**3 = 0. What is a?
1, 2
Let x = 78 - 230/3. Factor 10/3*v**4 + 2/3*v - 26/3*v**3 - x + 6*v**2.
2*(v - 1)**3*(5*v + 2)/3
Let s be (-4)/9 - 3*(-1)/6. Let a(w) be the second derivative of -3*w + 0 - 1/126*w**7 + 0*w**6 + s*w**4 + 1/15*w**5 - 1/3*w**2 - 1/6*w**3. Factor a(y).
-(y - 2)*(y - 1)*(y + 1)**3/3
Let g be (26/(-17) - -1) + 1. Let i = g + -7/51. Suppose i*u**2 + 0 + 1/3*u = 0. Calculate u.
-1, 0
Let p(t) be the second derivative of t**5/75 - t**4/60 - 3*t**2/2 - 2*t. Let y(d) be the first derivative of p(d). Find x, given that y(x) = 0.
0, 1/2
Let f(i) be the first derivative of 4/7*i + 4/35*i**5 - 8/21*i**3 + 2/21*i**6 + 2/7*i**2 - 8 - 2/7*i**4. Determine o so that f(o) = 0.
-1, 1
Let r(z) be the first derivative of -1/540*z**6 + 0*z + 0*z**4 + 0*z**2 + 1 + 1/3*z**3 - 1/180*z**5. Let v(w) be the third derivative of r(w). Factor v(m).
-2*m*(m + 1)/3
Find c such that 7/2*c**4 + 7/2*c - 1 - 5/2*c**3 - 5/2*c**2 - c**5 = 0.
-1, 1/2, 1, 2
Let s(t) = 4*t**2 + t - 3. Let v(f) = -4*f**2 + 4. Let j(l) = 6*s(l) + 4*v(l). Factor j(w).
2*(w + 1)*(4*w - 1)
Let u(k) be the third derivative of k**8/48 + 3*k**7/70 - k**6/10 - k**5/15 - 5*k**2. What is s in u(s) = 0?
-2, -2/7, 0, 1
Suppose 4*o - 35 = 4*l + 5, 0 = -4*o - 8. Let z be 1 - (-28)/l - -2. What is h in z + 5/3*h**2 + 7/3*h = 0?
-1, -2/5
Let y be ((-6)/(-8))/(1/20). Let o be (6/y)/((-6)/(-10)). Find l such that o*l + 0 + 2/3*l**2 = 0.
-1, 0
Let v(b) be the second derivative of 0*b**3 + 2*b + 0 + 0*b**2 + 1/60*b**6 + 1/20*b**5 + 0*b**4. Let v(f) = 0. Calculate f.
-2, 0
Let r(i) = -36*i**3 + 185*i**2 + 179*i - 45. Let t(y) = y**2 - y - 1. Let k(z) = -r(z) - 3*t(z). Suppose k(q) = 0. Calculate q.
-1, 2/9, 6
Let s(p) be the third derivative of 1/420*p**7 - 1/60*p**5 + 1/672*p**8 - 3*p**2 + 1/48*p**4 + 1/12*p**3 - 1/120*p**6 + 0 + 0*p. Factor s(y).
(y - 1)**2*(y + 1)**3/2
Suppose i + 3*i - 20 = 0. Solve 10*u + 2*u**3 + 4 - i*u - 4*u - 7*u = 0 for u.
-2, 1
Suppose 0*x**2 + 2/7*x - 2/7*x**3 + 0 = 0. What is x?
-1, 0, 1
Let r be (-2)/(-10)*(-135)/(-162). Determine g so that 4/3*g**2 + 0 + r*g**4 - 2/3*g - 5/6*g**3 = 0.
0, 1, 2
Let p(m) be the first derivative of m**6/4 - 6*m**5/5 + 9*m**4/4 - 2*m**3 + 3*m**2/4 + 15. Factor p(y).
3*y*(y - 1)**4/2
Let v = 133/765 + 4/153. Factor 0 - 1/5*t**2 + 1/5*t**4 + v*t**3 - 1/5*t.
t*(t - 1)*(t + 1)**2/5
Let m(k) = k**3 - k - 1. Let b(a) = 7*a**3 - 4*a**2 - 19*a - 13. Let l(z) = b(z) - 5*m(z). Factor l(h).
2*(h - 4)*(h + 1)**2
Let o(c) be the third derivative of -c**6/900 + c**4/180 - 5*c**2. Solve o(n) = 0.
-1, 0, 1
Factor -96*q + 18*q**2 + 59 + 21 - 4*q**3 - 16 + 18*q**2.
-4*(q - 4)**2*(q - 1)
Suppose 2*i - 34 = 3*f, 3 = -4*f - 5*i - 27. Let h be 1/3 + f/(-6). Let 5*z**h - z**4 - z**3 + z - z**2 - 3*z**2 = 0. What is z?
-1, 0, 1
Let v(w) = -w**4 + w**2 - w + 1. Let z(p) = -4*p**4 - p**3 + 4*p**2 - 2*p + 3. Let q(h) = 3*v(h) - z(h). Factor q(x).
x*(x - 1)*(x + 1)**2
Suppose -5*n - 3*z + 14 = 0, -2*n - 3*z - 2 = 2*z. Find g such that 3/5*g**5 - 2/5*g**2 + 2/5*g**n + 0 + 1/5*g - 4/5*g**3 = 0.
-1, 0, 1/3, 1
Let i be 0/(1*(0 + -2)). Let p(l) be the third derivative of -1/150*l**5 + i*l + 0 - 1/10*l**4 - 3*l**2 - 3/5*l**3. Factor p(g).
-2*(g + 3)**2/5
Factor -36*b - 33*b**2 - 4*b**4 - 20*b**3 - 3*b**2 - 8 + 8*b.
-4*(b + 1)**3*(b + 2)
Let z(c) = -c**3 - 3*c**2 + 4*c + 4. Let b be z(-4). Let d(h) = h**3 + h**2 + h + 1. Let s(g) = -3*g**3 - g - 4. Let x(l) = b*d(l) + s(l). Solve x(i) = 0 for i.
-3, -1, 0
Let h(r) = -r - 4. Let a be h(-6). Let k = -36 + 40. Factor 0 + 0 - 2*w**2 - a*w**k - 2*w**3 + 4*w**4 + 2*w.
2*w*(w - 1)**2*(w + 1)
Let s(v) be the first derivative of -1/5*v - 1/15*v**3 + 1/5*v**2 - 9. Suppose s(u) = 0. Calculate u.
1
Suppose -m = 4*m - 20. Factor -35 + 3*p**m + 2*p**2 - 4*p**4 + p**3 + 35.
-p**2*(p - 2)*(p + 1)
Let g be 8/10*(-30)/(-12). Factor 3/5*z**4 - 3/5*z**g + 3/5*z - 3/5*z**3 + 0.
3*z*(z - 1)**2*(z + 1)/5
Let q = 917/690 - -1/230. What is f in 0*f**3 + 4/3*f**4 + 2/3*f - 2/3*f**5 - q*f**2 + 0 = 0?
-1, 0, 1
Let w = -39/2 + 20. Factor -1/2*x**4 - w*x**2 - x**3 + 0*x + 0.
-x**2*(x + 1)**2/2
Suppose -8 = -5*j + 2*g, j + g = 2*g + 1. Let l be 0 + (0/j)/1. Suppose 0*c**4 - 2/9*c**3 + 2/9*c**5 + 0 + 0*c + l*c**2 = 0. What is c?
-1, 0, 1
Let u(z) be the first derivative of -z**8/420 + z**7/140 - z**5/60 - 5*z**3/3 - 3. Let y(i) be the third derivative of u(i). Factor y(c).
-2*c*(c - 1)**2*(2*c + 1)
Let p(z) = -6*z**2 + 18*z - 14. Let d(c) = -25*c**2 + 73*c - 57. Let w(j) = 2*d(j) - 9*p(j). Solve w(l) = 0 for l.
1, 3
Let l(m) be the second derivative of -2*m**7/21 + 2*m**6/15 + m**5/5 - m**4/3 + 20*m. Factor l(f).
-4*f**2*(f - 1)**2*(f + 1)
Let s be (-2)/((-3)/(-30)*-2). Determine x, given that -3*x**3 - s*x - 3*x**4 + 10*x = 0.
-1, 0
Find n such that -2*n - 5*n**2 - 4 + n**3 + 5*n + n + 4*n = 0.
1, 2
Let a(i) be the third derivative of 0 - 2*i**2 + 1/15*i**5 + 1/120*i**6 + 0*i + 0*i**3 + 1/6*i**4. Suppose a(d) = 0. Calculate d.
-2, 0
Suppose -5*l**4 + 25*l**5 - 12*l**4 + 22*l**3 - 2*l**3 - 43*l**4 = 0. Calculate l.
0, 2/5, 2
Let p be ((-12)/(-8))/(((-27)/6)/(-9)). Let r(j) be the third derivative of 0 + 0*j - 1/36*j**4 - 1/90*j**5 - 3*j**2 + 0*j**p. Factor r(k).
-2*k*(k + 1)/3
Let l(j) = -7*j**4 + 0*j**4 - 3*j**2 + 4*j**4 - 6*j**3 - 4*j**5. Let p(n) = 8*n**5 + 7*n**4 + 11*n**3 + 5*n**2. Let g(y) = 7*l(y) + 4*p(y). Factor g(i).
i**2*(i + 1)**2*(4*i - 1)
Let r = 15 + -8. Let t = 9 - r. Suppose -1/3 + 1/3*n - 1/3*n**3 + 1/3*n**t = 0. What is n?
-1, 1
Let y(j) be the first derivative of 2*j**3/3 + 4*j**2 + 6*j + 1. Suppose y(f) = 0. Calculate f.
-3, -1
Let v(h) be the second derivative of 0 + 0*h**3 - 3*h + 1/18*h**4 + 1/63*h**7 - 1/45*h**6 - 1/30*h**5 + 0*h**2. Factor v(c).
2*c**2*(c - 1)**2*(c + 1)/3
Suppose 0 = 61*n - 67*n. Let q = 15/11 + -64/55. Factor 0*p + n + q*p**2.
p**2/5
Suppose q - 6 = 3*q. Let h(s) = s**2 + 2*s. Let x be h(q). Factor 3*v**3 - 3*v**2 - 4*v**4 + 0*v**3 - x*v + 7*v**4.
3*v*(v - 1)*(v + 1)**2
Let l(m) be the second derivative of 3*m**5/160 - m**4/24 - 5*m**3/48 + m**2/8 + 17*m. Factor l(s).
(s - 2)*(s + 1)*(3*s - 1)/8
Let c be (-216)/288*32/(-18). Factor 28/3*b**2 - 8/3*b + 20/3*b**4 + 0 - c*b**5 - 12*b**3.
-4*b*(b - 2)*(b - 1)**3/3
Let u(b) be the second derivative of -1/20*b**5 - 1/24*b**4 + 0*b**3 - 5*b + 0*b**2 - 1/60*b**6 + 0. Solve u(j) = 0.
-1, 0
Let z be ((-8)/(-12))/(130/(-291345)). Let i = -1493 - z. Let 0*r + 32/13*r**4 + 4/13*r**2 - 22/13*r**3 - i*r**5 + 0 = 0. Calculate r.
0, 2/7, 1
Factor -22*m**3 + 1 + 1440*m - 3 - 1460*m + 6 + 33*m**2 + 5*m**4.
(m - 2)*(m - 1)**2*(5*m - 2)
Let z(h) be the second derivative of -h**5/70 - h**4/21 + 7*h. Factor z(u).
-2*u**2*(u + 2)/7
Let t(r) be the second derivative of -r**7/84 - r**6/90 + r**5/20 + r**4/18 - r**3/12 - r**2/6 - 22*r. Determine g so that t(g) = 0.
-1, -2/3, 1
Suppose 2*q + 0*q = 4*q. Let k(g) be the second derivative of q*g**2 - 2/9*g**3 + 0 + 2*g - 5/18*g**4 - 1/45*g**6 - 2/15*g**5. Solve k(r) = 0.
-2, -1, 0
Factor 4*i**3 - 25*i**4 - 12*i**2 + 64*i**4 + 4*i**5 - 27*i**4 - 8*i.
4*i*(i - 1)*(i + 1)**2*(i + 2)
Let d(y) be the second derivative of -2*y**7/105 + 2*y**5/25 - 2*y**3/15 + 4*y. Factor d(k).
-4*k*(k - 1)**2*(k + 1)**2/5
Let g(u) be the third derivative of 4*u**2 + 1/315*u**7 + 0 + 0*u**3 + 0*u**4 - 1/720*u**6 + 0*u + 0*u**5 - 1/672*u**8. Factor g(v).
-v**3*(v - 1)*(3*v - 1)/6
Let t(n) be the third derivative of -n**9/120960 + n**8/20160 - n**7/10080 + n**5/60 - 3*n**2. Let y(l) be the third derivative of t(l). Factor y(v).
-v*(v - 1)**2/2
Factor 0*c + 5/6*c**4 + 5/6*c**5 + 0 - 5/6*c**3 - 5/6*c**2.
5*c**2*(c - 1)*(c + 1)**2/6
Factor -3/4*v**2 + 0 - 1/4*v**4 + 0*v + v**3.
-v**2*(v - 3)*(v - 1)/4
Let n(w) be the third deriv