nd z such that -9/2*z**y + 3*z**5 + 3/2*z - 3/2*z**2 + 3/2*z**4 + 0 = 0.
-1, 0, 1/2, 1
Let l(s) be the third derivative of 5*s**2 - 1/18*s**4 + 0 + 1/10*s**5 + 1/72*s**8 + 0*s + 0*s**3 - 1/35*s**7 - 1/36*s**6. Find h such that l(h) = 0.
-1, 0, 2/7, 1
Solve -3/2*o**5 + 0*o - 1/2*o**3 + 0*o**2 + 2*o**4 + 0 = 0.
0, 1/3, 1
Let d = 2 + 2. Let f be (-1)/(-4) - 1/d. Factor 0 - 2/7*w**4 + 2/7*w**2 + 0*w**3 + f*w.
-2*w**2*(w - 1)*(w + 1)/7
Let a be (-2)/5 + 154/35. Factor -4*w**3 - w - a*w**2 + 2*w**4 - w**5 + 3*w + 2 + 3*w**5.
2*(w - 1)**2*(w + 1)**3
Let j = 5 - 3. Let n(d) = d**2 + 4*d + 2. Let x be n(-4). Suppose -q**j + 6*q**3 - 4*q**3 - q**x = 0. What is q?
0, 1
Let o = 58 - 58. Let d(f) be the third derivative of 1/60*f**5 + 1/24*f**4 + 0*f**3 + o + 0*f + f**2. Let d(x) = 0. Calculate x.
-1, 0
Let p(k) be the third derivative of 1/2*k**5 + k**2 + 0 - 5/8*k**4 - 1/4*k**6 + 0*k + 1/14*k**7 - 1/112*k**8 + 1/2*k**3. Suppose p(a) = 0. Calculate a.
1
Factor 2/7*g**4 - 2/7*g + 0 + 2/7*g**3 - 2/7*g**2.
2*g*(g - 1)*(g + 1)**2/7
Factor -1/6*p**2 + 1/3 + 1/6*p.
-(p - 2)*(p + 1)/6
Let y(v) be the third derivative of v**5/60 - 5*v**4/24 + 2*v**3/3 + 21*v**2. Factor y(h).
(h - 4)*(h - 1)
Let f be (5/10 + 0)/((-7)/(-28)). Factor -3/7*b**f + 0*b + 0.
-3*b**2/7
Let m(x) be the second derivative of -x + 2*x**2 + 1/12*x**4 + 0 - 2/3*x**3. Factor m(c).
(c - 2)**2
Let a(v) be the first derivative of -v**6/480 + v**5/80 - v**4/48 + v**2/2 - 1. Let k(h) be the second derivative of a(h). Determine n so that k(n) = 0.
0, 1, 2
Let g = 16/5 - 3. Let q = 3 + 0. Find k, given that g*k**4 + 1/5*k**q - 1/5*k - 1/5*k**2 + 0 = 0.
-1, 0, 1
Suppose 3*m + m = 16. Factor 3*z**5 + 4*z**2 + 3*z**m - z**5 - 5*z**2.
z**2*(z + 1)**2*(2*z - 1)
Let k(r) be the third derivative of r**6/300 - r**4/60 - 6*r**2. Factor k(x).
2*x*(x - 1)*(x + 1)/5
Let g = -5 + 7. Suppose d = -1, 2*o + g*d - 2 = -0*d. Solve -1/4 + 1/4*j**o + 1/4*j - 1/4*j**3 = 0.
-1, 1
Let b(u) be the second derivative of u**4/12 - u**3/2 + u**2 + 2*u. Factor b(m).
(m - 2)*(m - 1)
Let q be 4 + 92/(-24) - 51/(-18). Factor 0*m**2 + 0*m**4 + 1/2*m**q - 1/4*m**5 - 1/4*m + 0.
-m*(m - 1)**2*(m + 1)**2/4
Determine h so that -1/2*h**4 + 0 - 3/2*h**2 + 3/2*h**3 + 1/2*h = 0.
0, 1
Suppose 6 - 10 - 4 - 7*y**2 + 2*y**2 + 22*y = 0. Calculate y.
2/5, 4
Suppose -2*g + 3*g - 15 = 0. Let r be (g/25)/((-6)/(-8)). Solve 2/5*i**2 + r*i + 2/5 = 0 for i.
-1
Let c(g) = 2*g**2 - 6*g + 6. Let n be c(2). Determine q so that 2/7*q**n + 32/7*q + 8/7 - 6*q**3 = 0.
-2/3, -2/7, 1
Let q(k) be the third derivative of 7*k**6/60 - k**5/15 - 19*k**2. Factor q(v).
2*v**2*(7*v - 2)
Suppose 4*g = g + 6. Solve 3*q + 4*q**3 - 2*q**2 + 0*q - g*q**4 - 3*q = 0.
0, 1
Let v(k) be the first derivative of -k**3/15 + 2*k**2/5 + k + 8. Factor v(n).
-(n - 5)*(n + 1)/5
Let x(o) = o**3 + o**2 - o + 2. Let d be x(-2). Let t = d + 3. Solve 2/11*v + 0 - 18/11*v**t + 0*v**2 = 0.
-1/3, 0, 1/3
Find d such that 443 + 15*d**2 - 8*d - 236 + 8*d**3 - 223 + d**4 = 0.
-4, -1, 1
Suppose -i = -2*v + 15 - 6, -1 = -i. Let s(x) be the first derivative of 25/3*x**3 + 3 - 8*x**2 + 4*x + 7/5*x**v - 19/4*x**4 - 1/6*x**6. Factor s(a).
-(a - 2)**2*(a - 1)**3
Suppose 2*f - 2*s + 0 - 10 = 0, 4*f + 5*s = -25. Factor 4*v**3 - 12*v**2 + f*v**3 + 18 - 2.
4*(v - 2)**2*(v + 1)
Let z(v) = -v**3 - 3*v**2 - 3*v - 3. Let j(u) = -3*u**3 - 7*u**2 - 7*u - 7. Let t = 6 - 3. Let k(q) = t*j(q) - 7*z(q). Factor k(x).
-2*x**3
Suppose -2*d = 0, 4*n - 5*d - 8 = 36. Suppose -3*r = -7*r - 4, n = 5*j + 4*r. Factor 6*x**3 + 0*x**5 + j*x**5 - x + 7*x**4 + x**4.
x*(x + 1)**3*(3*x - 1)
Let r(h) be the first derivative of h**5/30 + h**4/12 - h**3/18 - h**2/6 - 7. Factor r(i).
i*(i - 1)*(i + 1)*(i + 2)/6
Factor 324*w**2 + 17*w**4 + 240 - 2*w**5 - 11*w**4 + 20*w**4 - 132*w**3 - 378*w - 78.
-2*(w - 3)**4*(w - 1)
Let h(t) be the third derivative of -t**7/70 - 3*t**6/80 + t**5/40 + 3*t**4/16 + t**3/4 - 7*t**2. Let h(n) = 0. Calculate n.
-1, -1/2, 1
Let q = -125/4 + 899/28. Factor -q*c**2 + 0 - 2/7*c - 2/7*c**4 - 6/7*c**3.
-2*c*(c + 1)**3/7
Let c(s) be the third derivative of -s**7/14 + 3*s**6/10 - 9*s**5/20 + s**4/4 + 8*s**2. Factor c(g).
-3*g*(g - 1)**2*(5*g - 2)
Let d(x) = 10*x**4 + x**3 + 28*x**2 + 69*x + 36. Let m(i) = -i**4 + i**3 + i**2 - i. Let p(b) = -2*d(b) - 18*m(b). What is t in p(t) = 0?
-3, -2
Let x(m) = 6*m**4 + 27*m**3 + 22*m**2 - 3*m - 14. Let t(y) = y**2 + 1. Let r(v) = -5*t(v) - x(v). Determine j, given that r(j) = 0.
-3, -1, 1/2
Suppose -8 = -3*g + 4*i, -2*g - 8 = 4*i - 0. Factor g*a - 4/7*a**2 - 36/7*a**4 + 0 - 16/7*a**5 - 24/7*a**3.
-4*a**2*(a + 1)**2*(4*a + 1)/7
Find h, given that -20*h**4 + 60*h + 3*h**4 + 260*h**2 + 185*h**3 + 52*h**4 = 0.
-3, -2, -2/7, 0
Suppose 0*g + g = 7. Let v(s) = -s**3 + 8*s**2 - 7*s + 2. Let k be v(g). Determine t so that -t + t**4 + k*t**3 + t**2 + t = 0.
-1, 0
Let f(p) be the second derivative of 0 + 0*p**3 + 3/140*p**5 + 1/28*p**4 + 0*p**2 + 3*p. Factor f(t).
3*t**2*(t + 1)/7
Let v(h) be the first derivative of -h**5/5 - 3*h**4/4 - 2*h**3/3 - 10. Determine f so that v(f) = 0.
-2, -1, 0
Let q(v) be the first derivative of 3*v**5/25 - v**4/5 - 4*v**3/15 + 6. What is f in q(f) = 0?
-2/3, 0, 2
Let r(c) be the third derivative of 7*c**7/10 + 7*c**6/40 - 33*c**5/20 + 9*c**4/8 + 21*c**2. Factor r(b).
3*b*(b + 1)*(7*b - 3)**2
Let y(b) = -b**3 - 9*b**2 - 3*b + 8. Let p(k) = 12*k**3 + 100*k**2 + 34*k - 88. Let v(u) = -6*p(u) - 68*y(u). Factor v(q).
-4*(q - 2)**2*(q + 1)
Let j(m) be the second derivative of 1/18*m**3 + 0*m**2 + 0 + 1/90*m**6 - 1/36*m**4 - 1/60*m**5 - 3*m. Factor j(l).
l*(l - 1)**2*(l + 1)/3
Let r be 1 + -2 + (-4)/(12/(-9)). Factor 0*g + 2/11*g**r - 2/11.
2*(g - 1)*(g + 1)/11
Factor -1/3*m - m**3 + 1/3*m**4 + 0 + m**2.
m*(m - 1)**3/3
Factor 6/5*s**2 + 0*s - 3/5 + 0*s**3 - 3/5*s**4.
-3*(s - 1)**2*(s + 1)**2/5
Let b(p) be the second derivative of -p**4/3 - 8*p**3/3 - 6*p**2 + 18*p + 2. Let b(s) = 0. Calculate s.
-3, -1
Determine k, given that -3/2 + k + 1/2*k**2 = 0.
-3, 1
Let n(l) = -155*l - 1130. Let h(d) = -d**2 + 156*d + 1131. Let z(c) = 5*h(c) + 6*n(c). Factor z(b).
-5*(b + 15)**2
Let m(b) be the first derivative of b**5/3 + 7*b**4/3 + 13*b**3/9 - 5*b**2/3 - 32. Factor m(g).
g*(g + 1)*(g + 5)*(5*g - 2)/3
Suppose 5*z - c - 32 + 11 = 0, 4*z - 8 = 3*c. Let f(k) be the first derivative of -1/2*k**4 - 1/3*k**2 + 1 + 0*k - 2/3*k**3 - 2/15*k**z. Factor f(h).
-2*h*(h + 1)**3/3
Let h(z) = 86*z**3 - 169*z**2 + 12. Let c(y) be the second derivative of -1377*y**5/20 + 901*y**4/4 - 96*y**2 + 2*y. Let r(k) = -2*c(k) - 33*h(k). Factor r(m).
-3*(m - 2)*(4*m + 1)*(7*m - 2)
Let a = 95/26 - 28/13. Factor -a*k - 1/2*k**4 + 1 - 1/2*k**2 + 3/2*k**3.
-(k - 2)*(k - 1)**2*(k + 1)/2
Suppose -l + 2 + 3 = 0. Suppose -5 - l = -2*y. Factor -4/3*i**y + 0*i + i**4 + 0*i**2 + 0 + 1/3*i**3.
-i**3*(i - 1)*(4*i + 1)/3
Let l(v) be the third derivative of -1/60*v**5 + 0*v**3 - 2*v**2 - 1/24*v**4 + 0*v + 0. Let l(r) = 0. Calculate r.
-1, 0
Let q(n) = -35*n**4 - 25*n**3 + 45*n**2 + 80*n - 65. Let v(r) = -9*r**4 - 6*r**3 + 11*r**2 + 20*r - 16. Let f(d) = -4*q(d) + 15*v(d). Factor f(u).
5*(u - 1)**2*(u + 2)**2
Let q(i) = -i**3 - 4*i**2 + 5*i + 3. Let v be q(-5). Factor -16 + 6*k**2 - 6*k**2 - 24*k - 2*k**v - 4*k**2 - 8*k**2.
-2*(k + 2)**3
Let z(r) = 3*r + 33. Let p be z(-10). Suppose 0 - l + 1/2*l**4 + 5/2*l**2 - 2*l**p = 0. Calculate l.
0, 1, 2
Let i(t) be the third derivative of -t**6/60 + t**5/15 - t**4/12 + 7*t**2. Factor i(g).
-2*g*(g - 1)**2
Let z(y) be the third derivative of y**5/45 - 4*y**4/3 + 32*y**3 + 25*y**2. Factor z(p).
4*(p - 12)**2/3
Let j(y) be the first derivative of y**7/84 + y**6/30 - y**4/12 - y**3/12 + 5*y - 4. Let l(p) be the first derivative of j(p). Factor l(f).
f*(f - 1)*(f + 1)**3/2
Let o be 2 - (2 + -2)/1. Let t be (-16)/(-9) - 4/(-18). Factor -3*p + 2 - p**2 + t*p**o + 0*p.
(p - 2)*(p - 1)
Suppose -4*i + 20 - 76 = 0. Let w be 2/7 + 4/i. Suppose w*m**3 + 4*m**3 + 2 - 2*m**4 + 0*m**4 - 4*m = 0. What is m?
-1, 1
Let r be 6/11 - 656/(-451). Solve 2/7*q**r + 2/7*q + 0 = 0 for q.
-1, 0
Let b = 193 - 2121/11. Factor 2/11 + b*c**3 + 6/11*c**2 + 6/11*c.
2*(c + 1)**3/11
Factor -4*i + 5*i**2 - 379*i**3 + 378*i**3 + i - 9.
-(i - 3)**2*(i + 1)
Let -2*m + 2/3 + 8/3*m**4 + 2*m**3 - 10/3*m**2 = 0. What