of -2*x**5/75 + x**4/30 + 2*x**3/45 - x**2/15 - 36. Factor v(r).
-2*r*(r - 1)**2*(r + 1)/15
Let -4*c + 0*c**2 + 6*c - 2*c**2 = 0. Calculate c.
0, 1
Let c = 179/2 + -87. Solve 4*t + 1/2*t**3 + 2 + c*t**2 = 0.
-2, -1
Let f(b) = 5*b**2 + 8*b + 5. Let l be -6 + 8 - (-5)/1. Let w(p) = 6*p**2 + 9*p + 6. Let x(r) = l*f(r) - 6*w(r). Factor x(y).
-(y - 1)**2
Let x(r) be the second derivative of r**5/120 - r**4/48 - r**3/6 + r**2 - 3*r. Let z(n) be the first derivative of x(n). Find j such that z(j) = 0.
-1, 2
Factor 3/5*x**3 - 3/5*x + 0*x**2 + 0.
3*x*(x - 1)*(x + 1)/5
Let n = -37 - -40. Let k(p) be the first derivative of 0*p + 1/16*p**4 - 1/8*p**2 + 1/12*p**n - 5 - 1/20*p**5. Solve k(j) = 0 for j.
-1, 0, 1
Let b(s) be the second derivative of 0 + 3/4*s**2 + 3/8*s**3 + 1/16*s**4 - 2*s. Factor b(i).
3*(i + 1)*(i + 2)/4
Let q(j) = 5*j**5 + 25*j**4 + 45*j**3 - 15*j**2 - 30*j - 30. Let o(t) = t**3 - t**2 + t - 1. Let b(f) = 10*o(f) - q(f). Suppose b(a) = 0. Calculate a.
-2, -1, 1
Let a(h) = -48*h**4 - 76*h**3 + 20*h**2 + 56*h + 28. Let l(b) = 7*b**4 + 11*b**3 - 3*b**2 - 8*b - 4. Let q(j) = -3*a(j) - 20*l(j). Factor q(u).
4*(u - 1)*(u + 1)**3
Let f(v) be the first derivative of 9*v**6/2 - 36*v**5/5 - 3*v**4/2 + 4*v**3 + 3*v**2/2 + 5. Factor f(z).
3*z*(z - 1)**2*(3*z + 1)**2
Let x = -2 + 6. Factor -4*c**4 - 19*c**4 + 2*c**2 + 2*c**x - 27*c**3 - 8*c**2.
-3*c**2*(c + 1)*(7*c + 2)
Factor -4/5 - 2/5*n + 4/5*n**2 + 2/5*n**3.
2*(n - 1)*(n + 1)*(n + 2)/5
Let l(b) be the second derivative of -b**7/15120 + b**5/720 + b**4/4 + 4*b. Let a(q) be the third derivative of l(q). Factor a(t).
-(t - 1)*(t + 1)/6
Let k(j) be the third derivative of 0*j + 0*j**3 - 19/105*j**7 + 0 - 1/3*j**4 + 1/42*j**8 - 4/15*j**5 + 9/20*j**6 + 5*j**2. Suppose k(v) = 0. What is v?
-1/4, 0, 1, 2
Determine d so that -3*d**3 - 3*d**4 - 2*d + d**4 - 6*d**2 - 3*d**3 = 0.
-1, 0
Let p(y) = 39*y**2 - 129*y + 183. Let f(r) = 3*r**2 - 10*r + 14. Let l = 11 + -9. Let j(s) = l*p(s) - 27*f(s). Factor j(c).
-3*(c - 2)**2
Let b(m) be the third derivative of -m**5/15 + 2*m**4/3 + 10*m**3/3 + 2*m**2 - 6*m. Determine a so that b(a) = 0.
-1, 5
Let y(a) be the third derivative of -5*a**8/336 - a**7/42 + a**6/4 - a**5/6 - 25*a**4/24 + 5*a**3/2 - 12*a**2. Factor y(x).
-5*(x - 1)**3*(x + 1)*(x + 3)
Suppose -7*h - 162 + 176 = 0. Solve 0 + 0*u - 2/7*u**4 + 0*u**3 + 2/7*u**h = 0.
-1, 0, 1
Let a(s) be the second derivative of s**4/60 - s**3/15 - 4*s**2/5 + 21*s. Factor a(n).
(n - 4)*(n + 2)/5
Suppose 2*a + 2*o + 5 = 21, 5*o - 10 = 0. Let g be 2/(-3) + -4 + a. Let -g - 6*f - 14/3*f**2 = 0. What is f?
-1, -2/7
Factor 16/3*y**2 + 20/3*y**3 - 6 - 20/3*y + 2/3*y**4.
2*(y - 1)*(y + 1)**2*(y + 9)/3
Let a = 19 - 17. Find p, given that 8/3*p + 2/3*p**a + 8/3 = 0.
-2
Let z(l) be the second derivative of -11/30*l**6 + l + 1/2*l**2 - 1/2*l**4 + 0 + 1/14*l**7 - 1/6*l**3 + 7/10*l**5. Factor z(d).
(d - 1)**4*(3*d + 1)
Let f(r) be the first derivative of r**5/30 + r**4/3 + 4*r**3/3 - r**2/2 + 2. Let h(l) be the second derivative of f(l). Let h(k) = 0. What is k?
-2
Suppose 0 = -2*k - 5*j - 14, 4*j + 26 = 2*k - j. Factor 1/2*c**k + 1/2*c**4 + 0 - 1/2*c**2 - 1/2*c.
c*(c - 1)*(c + 1)**2/2
Let h be (2/60)/(((-9)/(-6))/1). Let p(i) be the second derivative of 0 + h*i**6 - 3*i + 1/63*i**7 + 0*i**2 - 1/18*i**4 - 1/30*i**5 + 0*i**3. Factor p(o).
2*o**2*(o - 1)*(o + 1)**2/3
Let z = 188 - 188. Factor z + 0*j**2 + 0*j + 0*j**3 - 1/3*j**4 + 1/3*j**5.
j**4*(j - 1)/3
Let w = 4184/117 + -462/13. Solve 4/9*s + w*s**2 + 0 = 0.
-2, 0
Let r(h) be the first derivative of -32/5*h - 2/15*h**3 - 5 + 8/5*h**2. Factor r(n).
-2*(n - 4)**2/5
Determine k, given that -4/13*k**3 + 2/13*k**4 - 14/13*k**2 - 8/13*k + 0 = 0.
-1, 0, 4
Let l(o) be the second derivative of 0*o**2 + 0 + 0*o**4 - 1/27*o**3 + 1/90*o**5 - 6*o. Determine f so that l(f) = 0.
-1, 0, 1
Let p(z) be the second derivative of z**7/1120 + z**6/480 - z**5/160 - z**4/32 - 2*z**3/3 + z. Let l(g) be the second derivative of p(g). Factor l(f).
3*(f - 1)*(f + 1)**2/4
Let n(o) = o**2 - 7*o + 4. Let g be n(7). Determine w, given that -3*w**2 + 4 - 6*w + 6 + 3 - g = 0.
-3, 1
Factor 0 - 1/3*v**3 - v**2 - 2/3*v.
-v*(v + 1)*(v + 2)/3
Let h(o) = -o**2 - 13*o + 19. Let r be h(-14). Factor 4/9*c**4 - 2/9*c + 0*c**3 - 4/9*c**2 + 2/9*c**r + 0.
2*c*(c - 1)*(c + 1)**3/9
Let t be (-7)/(-21)*(-15)/(-1). Let h = -2/11 + 15/22. Factor -5/2*d - 1/2 - 5*d**3 - h*d**t - 5*d**2 - 5/2*d**4.
-(d + 1)**5/2
Let l(q) be the first derivative of -8*q**6/5 + 216*q**5/25 - 291*q**4/20 + 36*q**3/5 - 6*q**2/5 - 1. Factor l(n).
-3*n*(n - 2)**2*(4*n - 1)**2/5
Let j(i) be the second derivative of i**5/20 - i**4/6 - i**3/2 + i**2 - 2*i. Let f be j(3). Find b, given that 0 + 2/5*b**3 + 0*b - 2/5*b**f = 0.
0, 1
Let h(u) be the second derivative of -1/180*u**5 + 0 - 1/72*u**4 + 0*u**3 - 1/2*u**2 + u. Let q(k) be the first derivative of h(k). Factor q(w).
-w*(w + 1)/3
Let i(f) be the first derivative of 0*f - 3 - 1/12*f**4 + 2/9*f**3 - 1/6*f**2. Factor i(x).
-x*(x - 1)**2/3
Let a(k) be the second derivative of k**6/18 + k**5/12 - 5*k**4/12 - 5*k**3/18 + 5*k**2/3 + 11*k. Determine s so that a(s) = 0.
-2, -1, 1
Let l(u) be the third derivative of u**7/210 + u**6/30 - u**5/60 - u**4/6 - 34*u**2. Factor l(x).
x*(x - 1)*(x + 1)*(x + 4)
Let u(v) = -2*v**4 + v**3 + v**2 + v - 1. Let o(y) = 15*y**4 - 6*y**2 - 12*y + 3. Let g(t) = -o(t) - 6*u(t). Factor g(q).
-3*(q - 1)*(q + 1)**3
Let b(k) be the first derivative of -k**3/18 - 13*k**2/6 - 169*k/6 + 42. Solve b(q) = 0.
-13
Let v(r) be the first derivative of -5*r**6/24 + 27*r**5/20 - 25*r**4/8 + 3*r**3 - r**2 + 54. Suppose v(w) = 0. Calculate w.
0, 2/5, 1, 2
Let a(h) be the first derivative of 4*h**3/3 - 8*h**2 + 8. Factor a(r).
4*r*(r - 4)
Let d = 5/12 + -1/12. Factor -d*y + 1/3*y**2 + 0 - 1/3*y**4 + 1/3*y**3.
-y*(y - 1)**2*(y + 1)/3
Let s(q) = -q**3 - 4*q**2 + 4*q - 2. Let p be s(-5). Suppose h = -u, p*u = -0*h - h. Factor 0*m + 5/3*m**4 + 2/3*m**2 - 7/3*m**3 + u.
m**2*(m - 1)*(5*m - 2)/3
Let n(i) be the second derivative of i**6/30 - i**5/10 + i**4/12 - 14*i. Factor n(t).
t**2*(t - 1)**2
Find r, given that -3*r**4 + 7*r**2 - 15*r**3 + 0*r**4 - 2*r**4 - 5*r - 22*r**2 = 0.
-1, 0
Let p(r) be the first derivative of r**4/30 - 2*r**3/9 + 4*r**2/15 + 25. Find o, given that p(o) = 0.
0, 1, 4
Let s(h) = 3*h**3 + 7*h**2 + 2*h - 7. Let i(x) be the first derivative of x**4/4 + x**3 + x**2/2 - 3*x + 3. Let l(t) = 15*i(t) - 6*s(t). Solve l(j) = 0.
-1, 1
Let i be 4/(-2 - (-36)/15). Let z be (-21)/60 + 6/i. Factor -w**5 + 0 + z*w**2 + 0*w**4 + 0*w + 3/4*w**3.
-w**2*(w - 1)*(2*w + 1)**2/4
Let 6*j**2 - 4/3*j**4 + j**5 - 3*j**3 + 0 - 8/3*j = 0. What is j?
-2, 0, 1, 4/3
Let x(a) = -3*a**2 - 2. Let v(c) = -c**2 - 2*c**2 + 1 + 4*c**2. Let n(r) = -5*v(r) - 2*x(r). Suppose n(o) = 0. What is o?
-1, 1
Let k(g) = 2*g**5 - 9*g**4 + 21*g**3 + 3*g**2 + 3*g - 3. Let i(m) = -6*m**5 + 28*m**4 - 62*m**3 - 8*m**2 - 8*m + 8. Let h(u) = -3*i(u) - 8*k(u). Factor h(r).
2*r**3*(r - 3)**2
Let p(l) = l**3 - 23*l**2 - 26*l + 50. Let h be p(24). Let t(o) be the first derivative of 2/7*o**h - 1 - 2/7*o - 2/21*o**3. Factor t(d).
-2*(d - 1)**2/7
Let n(b) be the third derivative of b**8/672 - b**7/420 - b**6/240 + b**5/120 - 4*b**2. Let n(g) = 0. Calculate g.
-1, 0, 1
Suppose 0 = 5*z + 5*g - 10 + 35, -g = 5. Let a be (z/3)/(-1 - 1). Let a - 1/4*x**2 - 1/4*x = 0. What is x?
-1, 0
Let n(j) be the first derivative of -j**6/2 + j**5 + j**3/3 - j + 4. Let k(s) = -s**5 + s**4 + s**2 - 1. Let l(a) = k(a) - n(a). Factor l(x).
2*x**4*(x - 2)
Let p(x) be the second derivative of -x**8/840 - x**7/140 - x**6/90 + x**3 + 5*x. Let s(n) be the second derivative of p(n). Factor s(r).
-2*r**2*(r + 1)*(r + 2)
Let w(v) be the second derivative of v**7/14 - 7*v**6/10 + 9*v**5/4 - 5*v**4/4 - 8*v**3 + 18*v**2 + 36*v. Find x, given that w(x) = 0.
-1, 1, 2, 3
Suppose 3*m = -0*m + 15. Suppose f - m = -2. Factor -2/3 - 4*l**2 + 8/3*l + 8/3*l**f - 2/3*l**4.
-2*(l - 1)**4/3
Let o(t) be the first derivative of -t**8/10080 - t**7/1260 - t**6/540 - t**3 + 5. Let q(d) be the third derivative of o(d). Let q(g) = 0. Calculate g.
-2, 0
Let v = 476 - 476. Factor v - 3/4*j**3 + 3/4*j + 0*j**2.
-3*j*(j - 1)*(j + 1)/4
Let d(a) = a**2 - 7. Let o be d(3). Factor -2*g**2 - 2*g - g**o + 