et v(f) be the second derivative of 0 + 0*f**2 + r*f**4 - 1/18*f**3 + 1/60*f**5 + f - 1/90*f**6. Factor v(x).
-x*(x - 1)**2*(x + 1)/3
Let g(i) = 7*i**3 - 8*i**2 - 5*i + 6. Let h(u) = -20*u**3 + 23*u**2 + 14*u - 17. Let z(a) = -17*g(a) - 6*h(a). Factor z(j).
j*(j - 1)**2
Let 3/5*d**2 + 0*d + 0 = 0. Calculate d.
0
Let u(n) be the third derivative of n**6/40 + n**5/10 + n**4/8 - 18*n**2. Find q, given that u(q) = 0.
-1, 0
Let j(q) be the second derivative of 2*q**6/5 + 7*q**5/10 - 5*q**4/6 - 7*q**3/3 - q**2 + 14*q. Factor j(i).
2*(i - 1)*(i + 1)**2*(6*i + 1)
Let a(r) be the second derivative of -r**4/6 + 5*r**3/3 - 3*r. Factor a(n).
-2*n*(n - 5)
Find j such that -4 + 6*j + 6 + 2*j**2 + 2 = 0.
-2, -1
Let f(m) be the first derivative of -6/5*m**5 - 3/4*m**4 + 6 + 3*m**3 - 3*m + 3/2*m**2. Suppose f(r) = 0. Calculate r.
-1, 1/2, 1
Factor 0*j**2 + 3*j**3 - 7*j**2 + 0*j**2 + 4*j**2.
3*j**2*(j - 1)
Determine a so that 0 - 6/5*a**2 - 6/5*a**3 - 2/5*a - 2/5*a**4 = 0.
-1, 0
Suppose 5*i - 25 - 5 = 0. Let k(j) be the second derivative of 2/27*j**3 + 2*j + 0*j**4 + 0 - 1/135*j**i - 1/45*j**5 + 1/9*j**2. Factor k(l).
-2*(l - 1)*(l + 1)**3/9
Suppose -2*i + 24 = 6*i. Let p(a) be the first derivative of 1/8*a**4 + 1/4*a + 5/12*a**i - 2 + 1/2*a**2. Factor p(v).
(v + 1)**2*(2*v + 1)/4
Let w(y) be the first derivative of 1/3*y**3 - 5 + 0*y**2 - 4*y. Solve w(o) = 0.
-2, 2
Suppose -36 = -4*x - 5*p, -3*x - 12 + 40 = 4*p. Factor x*l - 4*l + 4*l + 3*l**2 - l**2.
2*l*(l + 2)
Let c(m) be the third derivative of -9*m**5/20 - m**3/2 - 5*m**2. Let n(q) = -7*q**2 - 1. Let r(o) = 4*c(o) - 15*n(o). Factor r(g).
-3*(g - 1)*(g + 1)
Let h(q) = -8*q**2 + q**3 + 1 - 2*q + q + 7*q**2. Let l be h(2). Determine c so that 1 - c**2 + 3*c - c**l - 3*c + c = 0.
-1, 1
Let u(k) be the first derivative of -k**4/20 + k**3/15 + 2*k**2/5 - 4*k/5 + 54. Find o such that u(o) = 0.
-2, 1, 2
Suppose 0 = -y - 9 + 14. Let c(v) be the second derivative of 5/6*v**3 - 1/3*v**6 - 3*v - 1/3*v**2 + 1/18*v**7 + 0 + 5/6*v**y - 10/9*v**4. Solve c(x) = 0 for x.
2/7, 1
Let h be (6/(-27) - 0)/((-2)/6). Suppose 0*j + 0 - h*j**2 + 2/3*j**3 = 0. What is j?
0, 1
Suppose 3*j = -b - 8 - 9, 5*b + 2*j + 20 = 0. Let r be 2/(-4)*3*b. Factor -2*u**3 + u**4 - 3*u**r - 2*u**2 + 6*u**4.
u**2*(u - 1)*(7*u + 2)
Suppose -11*y - i = -6*y - 5, -4*y = -5*i - 33. Determine z so that y*z**4 - 2*z**2 + 0 + 10/7*z**5 - 4/7*z - 6/7*z**3 = 0.
-1, -2/5, 0, 1
Factor 5*t + 6*t**2 + 3/2 + 1/2*t**4 + 3*t**3.
(t + 1)**3*(t + 3)/2
Let y = 22 + -2. Suppose -5*l - y = -5*j, 2*j - l - 5 - 3 = 0. Suppose -6*x**2 - 3*x + 5*x**5 - 2*x**3 + 3 + 3*x**4 + 6*x - j*x**3 - 2*x**5 = 0. Calculate x.
-1, 1
Let p(o) = 5*o**3 + 7*o**2 - 24*o + 12. Let x(g) = -36*g**3 - 48*g**2 + 168*g - 84. Let n(w) = -27*p(w) - 4*x(w). Factor n(f).
3*(f - 1)*(f + 2)*(3*f - 2)
Let q be 1 + -1 - (-4)/2. Suppose -w**4 + 0*w**5 - 2*w**5 + 3*w**5 + q*w**4 = 0. Calculate w.
-1, 0
Let l(q) = -28*q**3 - q**2 + 3*q - 1. Let p be l(1). Let n be 2*3*(-9)/p. Find k such that -2/7*k + 0 + 6/7*k**n = 0.
0, 1/3
Let q = -3 + 1. Let p = q - -2. Let 0*h**4 + h**4 + 1 + p*h**2 - 2*h**2 - 2*h**3 + h**5 + h = 0. What is h?
-1, 1
Let j(g) be the third derivative of 0*g**4 + 0*g**3 + 1/70*g**7 + 0 - 1/20*g**6 + 1/20*g**5 + 10*g**2 + 0*g. Determine l so that j(l) = 0.
0, 1
Let q = -159 + 301/2. Let p = q + 9. Let 1/4*v**3 + 1/4*v - p*v**2 + 0 = 0. What is v?
0, 1
Let u(k) = -k**4 - k**2 + k - 1. Let z(v) = -3*v**4 + v**2 + 4*v - 2. Let j(l) = 2*u(l) - z(l). What is d in j(d) = 0?
-1, 0, 2
Let w = -7 - -5. Let b = w + 2. Let b + 0*y**3 - 1/4*y**2 + 0*y + 1/4*y**4 = 0. What is y?
-1, 0, 1
Let z(a) = 6*a**4 - 16*a**3 + 22*a**2 - 20*a + 8. Let y(t) = -13*t**4 + 33*t**3 - 43*t**2 + 39*t - 16. Let s(f) = 4*y(f) + 9*z(f). Factor s(u).
2*(u - 2)**2*(u - 1)**2
Let x(g) = -5*g**3 + 22*g**2 - 40*g + 20. Let p(r) = -10*r**3 + 45*r**2 - 80*r + 40. Let k(b) = 3*p(b) - 5*x(b). Factor k(a).
-5*(a - 2)**2*(a - 1)
Find m such that 8/3*m - 2/3*m**3 - 16/3 + 4/3*m**2 = 0.
-2, 2
Let x = 14 - 83/6. Let z be -6 + (-2 - 4 - -15). Determine a, given that -1/6*a**z + 1/6*a**2 + 1/6*a - x = 0.
-1, 1
Suppose -2/3*n**2 + 10/3*n - 8/3 = 0. What is n?
1, 4
Let g(x) = -x**2 - 1. Let l(r) = 12*r**2 + 8*r + 18. Let h(t) = 10*g(t) + l(t). Factor h(a).
2*(a + 2)**2
Let l(g) be the third derivative of 1/60*g**5 + 1/6*g**3 + g**2 + 1/12*g**4 + 0*g + 0. Factor l(h).
(h + 1)**2
Let i(r) = r - 10. Let q be i(9). Let p be (q/6)/(8/(-36)). Factor -1/4*f**3 - p*f - 1/4 - 3/4*f**2.
-(f + 1)**3/4
Let q(r) = r**3 - 47*r**2 + 34*r - 1. Let t(m) = -m**3 + 23*m**2 - 17*m + 1. Let p(b) = -6*q(b) - 14*t(b). Solve p(s) = 0 for s.
1/2, 4
Let a(n) be the third derivative of 2/7*n**5 - 25/168*n**8 + 0*n - 4*n**2 + 0 - 1/49*n**7 + 2/21*n**4 + 61/210*n**6 + 0*n**3. Solve a(d) = 0 for d.
-2/5, -2/7, 0, 1
Let y be ((-12)/63)/(6/9). Let b = y - -11/14. Let 0*n - 1/2*n**2 + 0 + b*n**3 = 0. What is n?
0, 1
Suppose d - 16 = -q, 39 = 3*d - 2*q - 19. Find n, given that 54*n**2 - 3*n**4 - d*n**2 + 8 - 4*n**3 - 3*n**4 + 36*n - 6*n**4 = 0.
-1, -1/3, 2
Let f(p) be the first derivative of 0*p**3 + 0*p**2 - 1/12*p**6 + 0*p**4 + 2 + 0*p + 0*p**5. Factor f(x).
-x**5/2
Let s(n) be the first derivative of 4*n**6/27 - 5*n**4/6 - 10*n**3/27 + 5*n**2/3 + 2*n - 25. Solve s(q) = 0 for q.
-1, 3/2
Let x(w) be the third derivative of -w**8/100800 - w**5/10 + w**2. Let c(s) be the third derivative of x(s). Solve c(z) = 0.
0
Let h = 0 - 0. Suppose 4*t = -h*t. Factor t*y**2 - 4/3*y**3 - 2/3 + 4/3*y + 2/3*y**4.
2*(y - 1)**3*(y + 1)/3
Let o(l) be the first derivative of 3*l**4/8 - 3*l**3/2 + 3*l**2/2 - 2. Determine f, given that o(f) = 0.
0, 1, 2
Suppose 24*h**3 - 159*h + 4*h**5 + 159*h - h**5 + 12*h**2 + 15*h**4 = 0. Calculate h.
-2, -1, 0
Let v(m) be the first derivative of m**6/480 - m**5/160 - 2*m**3/3 + 1. Let g(y) be the third derivative of v(y). Factor g(b).
3*b*(b - 1)/4
Let a(d) = -2*d**4 + 22*d**3 - 16*d**2 + 2*d + 6. Let h(s) = -s**4 + 22*s**3 - 17*s**2 + 3*s + 7. Let n(y) = -7*a(y) + 6*h(y). Factor n(m).
2*m*(m - 2)*(m - 1)*(4*m + 1)
Let y(t) be the second derivative of -8*t**6/15 - t**5 + t**4 + 10*t**3/3 + 2*t**2 + 12*t + 1. Let y(u) = 0. What is u?
-1, -1/4, 1
Determine g, given that 0 - 2/3*g**2 - 1/3*g**4 + 0*g - g**3 = 0.
-2, -1, 0
Solve -4*s**3 - 6*s**3 + 11*s**3 - s = 0 for s.
-1, 0, 1
Let a be 0/(2/(5 + -3)). Let c = a - -4. Factor 0*p**3 + 0*p - 1/2 + p**2 - 1/2*p**c.
-(p - 1)**2*(p + 1)**2/2
Let l(p) = -p**3 - 9*p**2 + 7*p - 13. Let f be l(-10). Let s = f - 15. Factor 0*d**s + 2/7*d - 2/7*d**3 + 0.
-2*d*(d - 1)*(d + 1)/7
Factor -8/3*l**2 - 1/3*l - 5/3*l**3 + 2/3.
-(l + 1)**2*(5*l - 2)/3
Suppose -o + 5*t = o - 29, 0 = o + 2*t + 8. Suppose 10*k - 8*k - o*k**3 + 0*k**3 = 0. What is k?
-1, 0, 1
Let i(y) be the first derivative of -1/7*y**2 + 0*y + 2 - 2/21*y**3. Factor i(c).
-2*c*(c + 1)/7
Let j(o) be the first derivative of 0*o**2 - 1/20*o**4 + 0*o - 3 - 1/15*o**3. Factor j(d).
-d**2*(d + 1)/5
Let y(f) be the third derivative of 2/21*f**4 + 0 - 2/105*f**6 - 1/14*f**5 + 16/735*f**7 - 1/21*f**3 - 4*f**2 + 0*f. Determine u, given that y(u) = 0.
-1, 1/4, 1
Let q(z) be the first derivative of 3*z**5/20 - z**4/4 + z**3/12 + 1. Factor q(b).
b**2*(b - 1)*(3*b - 1)/4
Let w(z) be the third derivative of -z**6/40 + 3*z**5/20 - 3*z**4/8 + z**3/2 + 3*z**2. Let w(a) = 0. What is a?
1
Let i(l) be the first derivative of -1 + 1/8*l**2 + 1/24*l**6 + 0*l + 0*l**3 + 0*l**5 - 1/8*l**4. Factor i(v).
v*(v - 1)**2*(v + 1)**2/4
Let w(b) = -b**3 - 3*b**2 + 2. Let a be w(-3). Factor -2*m**2 + 4*m - m**a - 3 + m + m.
-3*(m - 1)**2
Let b = -74 + 741/10. Let l(r) be the second derivative of 5/3*r**3 + b*r**5 - 2*r**2 - 2/3*r**4 + 0 + r. Factor l(f).
2*(f - 2)*(f - 1)**2
Suppose -2*i - 4 + 10 = 0. Suppose -3*f - i = 5*q + 1, 2*q = -f - 2. Find m such that -3*m**f - m**2 + 2*m**2 = 0.
0
Let x(f) be the second derivative of f**8/10080 - f**6/360 + f**5/90 - f**4/6 + f. Let b(v) be the third derivative of x(v). Factor b(k).
2*(k - 1)**2*(k + 2)/3
Let c(d) be the first derivative of 33*d**4/16 + 9*d**3/4 - 3*d**2/4 + 2. Let c(k) = 0. What is k?
-1, 0, 2/11
Let x(p) be the second derivative of p**7/11340 - p**5/540 - p**4/6 - 4*p. Let w(a) be the third derivative of x(a). Factor w(r).
2*(r - 1)*(r + 