e of t - 1/70*k**5 + 0*k**2 - k + 0*k**4 + 1/21*k**3. Determine y, given that x(y) = 0.
-1, 0, 1
Let w(k) be the first derivative of -k**3 + 18*k**2 - 108*k + 51. Factor w(p).
-3*(p - 6)**2
Let u = -85 - -511/6. Let m(x) be the second derivative of 2*x + 1/3*x**3 + 0 + 0*x**2 + u*x**4. Factor m(q).
2*q*(q + 1)
Let j(w) = w**4 - w**2 + w + 1. Let s(v) = 15*v**4 - 6*v**3 - 19*v**2 + 11*v + 9. Let n(h) = 5*j(h) - s(h). Find c such that n(c) = 0.
-1, -2/5, 1
Let m = -17 - -40. Let f be ((-2 - -20) + 0)*1. Solve -21*o - 3*o**3 + 24 - o + 9*o + f*o**2 - m*o = 0.
2
Factor -4/3*u + 0 - 2/3*u**3 - 2*u**2.
-2*u*(u + 1)*(u + 2)/3
Let m = -4 - -12. Suppose -2*n + 14 = m. Factor 3/5*b**n + 1/5*b**2 + 3/5*b**4 + 0*b + 1/5*b**5 + 0.
b**2*(b + 1)**3/5
Let -7*s**2 + 6*s**2 - 11*s**2 + 26*s + 22*s**4 - 6*s**2 - 26*s**3 - 4 = 0. What is s?
-1, 2/11, 1
Let k(m) = -6*m**2 - 11*m - 14. Suppose -3*u = -2 - 10, 3*u = b + 17. Let c(h) = 5*h**2 + 10*h + 13. Let t(s) = b*c(s) - 4*k(s). Suppose t(a) = 0. What is a?
-3
Let o(f) = -6*f - 1. Let u(p) = 5*p + 1. Let y(v) = -4*o(v) - 5*u(v). Let b be y(-5). Factor 4*l**4 + l - b*l**2 - 3*l + 3 - 3 + 2*l**5.
2*l*(l - 1)*(l + 1)**3
Let f(w) be the first derivative of -w**4/26 + 4*w**3/39 - w**2/13 - 21. Factor f(d).
-2*d*(d - 1)**2/13
Let b = -649 + 651. Factor 6/13*w**3 + 2/13*w**5 - 6/13*w**4 - 2/13*w**b + 0 + 0*w.
2*w**2*(w - 1)**3/13
Suppose -4*j + 8 = 2*k, -2*k = -5*j + k + 32. Factor -3/2*f**3 + 1/2*f**j + f**2 + 0 + 0*f.
f**2*(f - 2)*(f - 1)/2
Let h be (6 - 1)*6/15. Factor -2*y**2 + 15*y - 16*y + y**h.
-y*(y + 1)
Suppose 0 = 2*w + 3*t + 2, -w + 2*t + 14 - 1 = 0. Factor 2*j**w - 2*j**4 - 4*j**2 + 6*j**4 - 3*j + j.
2*j*(j - 1)*(j + 1)**3
Let d be -3 + (10 - 16/4). Let k(l) be the third derivative of 1/30*l**5 - l**2 + 0 + 0*l**4 + 0*l - 1/3*l**d. Find c such that k(c) = 0.
-1, 1
Let m(w) = w**2 - 1. Let l(u) = 4*u**2 - 4. Let r(d) = 2*l(d) - 6*m(d). Factor r(a).
2*(a - 1)*(a + 1)
Factor -27*c - 39*c + c**3 + c**2 + 57*c + 7*c**2.
c*(c - 1)*(c + 9)
Factor 0 + 10 - m**2 - 4*m**2 + 5*m + 0*m**2.
-5*(m - 2)*(m + 1)
Let t be 24/(-81)*(-15)/20. Determine w, given that 4/9*w - 2/3 + t*w**2 = 0.
-3, 1
Let g = -806/5 + 163. Factor 21/5*l**3 - 36/5*l**2 + g*l + 6/5.
3*(l - 1)**2*(7*l + 2)/5
Let t(m) be the third derivative of -m**7/1680 + m**6/240 - m**4/8 + 3*m**2. Let i(v) be the second derivative of t(v). Factor i(u).
-3*u*(u - 2)/2
Let w(m) = -m + 2. Let y be w(2). Let j = -48 + 52. Factor -2/3*v**j + y*v**3 + 0*v + 0 + 2/3*v**2.
-2*v**2*(v - 1)*(v + 1)/3
Let w(f) be the second derivative of f**5/5 + f**4/3 - 2*f**3/3 - 2*f**2 - 6*f. Let w(r) = 0. What is r?
-1, 1
Let f(b) = b - 2. Let l be f(5). Let k = l + 0. Factor g**k + 0*g**4 - g**4 + 0*g**3.
-g**3*(g - 1)
Let x = -3/14 - -37/42. Suppose x*p**2 + 2/3*p + 0 = 0. Calculate p.
-1, 0
Let i(r) be the second derivative of 49*r**6/90 + 217*r**5/60 - 34*r**4/9 + 10*r**3/9 + 13*r. Factor i(o).
o*(o + 5)*(7*o - 2)**2/3
Suppose -d - 4*d + 3*t = 6, -2 = -t. Suppose d = -5*x + 1 + 19. Solve 38/7*w**2 + 2*w + 2/7 + 8/7*w**5 + 50/7*w**3 + 32/7*w**x = 0.
-1, -1/2
Let o(q) be the second derivative of q**8/6720 - q**7/3360 - q**6/1440 + q**5/480 + q**3/3 + 2*q. Let h(b) be the second derivative of o(b). Factor h(x).
x*(x - 1)**2*(x + 1)/4
Let j be (-3)/24 - (-225)/24. Let q = -9 + j. Factor 1/4*d + q*d**2 - 1/2.
(d - 1)*(d + 2)/4
Let i(x) be the third derivative of x**5/20 + x**4/8 - 6*x**2. Factor i(c).
3*c*(c + 1)
Solve -4/11*u + 0 + 2/11*u**2 = 0.
0, 2
Let f(o) = -2*o**3 - o**2 - o. Let d be f(-1). Let 11/3*g**4 + 2/3*g**5 + 16/3*g**d + 0 + 7*g**3 + 4/3*g = 0. Calculate g.
-2, -1, -1/2, 0
Suppose -3*g + 6 = -3*b, -g - 4*b - 22 = b. Let d be 9 + -2 + g + -1. Solve -d*v + 5*v - 3*v**2 + 8*v**4 - v**3 - 5*v**4 = 0.
-1, 0, 1/3, 1
Let a be 2/(-3) - (-6)/(-39). Let o = -2/13 - a. Factor -1/3*p**2 - p**3 + o*p + 0.
-p*(p + 1)*(3*p - 2)/3
Let m(r) be the second derivative of 4/147*r**7 + 0*r**6 + 1/42*r**4 + 0*r**3 + 0 + 0*r**2 + 4*r - 3/70*r**5. Factor m(k).
2*k**2*(k + 1)*(2*k - 1)**2/7
Let 2*t**2 - t**2 + 0*t**2 + t - t**3 - 1 = 0. What is t?
-1, 1
Solve 8*z + 4*z**3 + 2/3*z**4 + 8/3 + 26/3*z**2 = 0 for z.
-2, -1
Let b = 16 + -20. Let l be -1 - 2*b/6. Find c, given that l + 2/3*c**3 + 2/3*c**2 - c + 1/3*c**5 - c**4 = 0.
-1, 1
Let b = -5 + 10. Suppose 0*j - 12 = -4*j. Solve -b*s**j - s + 0*s**3 + 6*s**3 = 0 for s.
-1, 0, 1
Suppose 10 = 2*b - i, -4*i - 34 = -5*b - 9. Let n(p) be the third derivative of 0*p**3 + 1/150*p**b + 0 + 0*p**4 - p**2 + 0*p + 1/300*p**6. Factor n(a).
2*a**2*(a + 1)/5
Let m(y) = y**3 - 11*y**2 - 10. Let f be m(11). Let t be (-4)/f + (-12)/(-5). Factor 16/5*r**3 - 6/5*r**4 + 4/5*r + 0 - t*r**2.
-2*r*(r - 1)**2*(3*r - 2)/5
Let y(v) be the second derivative of -v**5/15 + 7*v**4/9 - 32*v**3/9 + 8*v**2 - 5*v. Factor y(l).
-4*(l - 3)*(l - 2)**2/3
Let a(s) = -s**2 - 10*s + 8. Let n be a(-10). Suppose 5*t - w + 3*w = 8, n = -t + 2*w. Factor 0 + 2/7*v**2 + t*v.
2*v**2/7
Let s(f) = -f**2 - 9*f - 5. Let o be s(-8). Suppose -14*z**2 - 12*z - z**3 - 3*z**4 - 12*z**o + z**3 - 4*z**2 - 3 = 0. What is z?
-1
Let i = -2 - -14. What is g in 7*g**2 - 4*g**2 + 6 + 11*g**2 - 2*g**2 + i*g**3 - 21*g = 0?
-2, 1/2
Let s(y) be the third derivative of y**5/100 + 3*y**4/40 + y**3/5 + 3*y**2. Find d such that s(d) = 0.
-2, -1
Suppose -2*h - 4*g - 14 = -4*h, 0 = 5*h - 5*g - 20. Let f(v) be the first derivative of 0*v + 1/7*v**2 - h - 1/7*v**4 - 2/21*v**3. Factor f(s).
-2*s*(s + 1)*(2*s - 1)/7
Let c(o) be the second derivative of 1/18*o**4 + 1/9*o**3 - 7*o - 1/30*o**5 - 1/3*o**2 + 0. Let c(p) = 0. What is p?
-1, 1
Let c be ((-1)/(-2))/((-3)/(-24)). Suppose l = -4*x + 3*l + 12, x = l + c. Factor -s**3 - 2*s - 3*s**2 + s**x + 0*s**2 - s**2.
-s*(s + 1)*(s + 2)
Let u(c) = 6*c**2 + 6*c - 3. Let d = 2 - 5. Let n(q) = -7*q**2 - 7*q + 4. Let s(f) = d*n(f) - 4*u(f). What is v in s(v) = 0?
-1, 0
Let y(f) be the third derivative of -f**8/264 + 3*f**7/385 - f**6/330 - 5*f**2. Find x, given that y(x) = 0.
0, 2/7, 1
Factor -2/7 - 6/7*p - 6/7*p**2 - 2/7*p**3.
-2*(p + 1)**3/7
Find j, given that 0*j - 3/5*j**5 + 6/5*j**3 - 3/5*j**4 + 0*j**2 + 0 = 0.
-2, 0, 1
Let p(f) = -f**3 - 5*f**2 + f + 1. Let y(q) = -3*q**3 - 21*q**2 + 3*q + 3. Let b(d) = 9*p(d) - 2*y(d). Factor b(c).
-3*(c - 1)*(c + 1)**2
Let f = 41/3 + -79/6. Suppose -1/2*o**5 + 0*o + 1/2*o**3 + 1/2*o**2 + 0 - f*o**4 = 0. What is o?
-1, 0, 1
Suppose 4*k - 62 = -54. Solve 1/3 + a + a**k + 1/3*a**3 = 0.
-1
Suppose 3*v = 3*l - 12, -v + 0 + 12 = l. Solve -21 + 21 + l*h**2 - 4*h**3 = 0.
0, 2
Let q be (1/(1 - 7))/(2/(-3)). Factor 1/2 - 1/4*z**2 - q*z.
-(z - 1)*(z + 2)/4
Let k(p) be the second derivative of 1/40*p**5 + 1/4*p**2 + 0 - 1/24*p**4 - 4*p - 1/12*p**3. Factor k(z).
(z - 1)**2*(z + 1)/2
Let o = 4 - 0. Suppose -o = -5*w + 6. Factor w*k**2 + 7*k - 3*k - k**3 - 5*k.
-k*(k - 1)**2
Let w be (50/8 - 2) + -1. Factor -l - w*l**2 + 1 - 5/4*l**3.
-(l + 1)*(l + 2)*(5*l - 2)/4
Suppose 5*m - 3*t + 15 + 133 = 0, -4*m - 116 = -3*t. Let g be (-4)/(-6) - m/(-84). Factor 6/7*p + 0*p**2 - g*p**3 - 4/7.
-2*(p - 1)**2*(p + 2)/7
Let f = -2 - 4. Let q = f + 10. Suppose q*o - 4*o - o**2 + o**4 = 0. Calculate o.
-1, 0, 1
Let f = 22 - 19. Let g(w) be the first derivative of 16/7*w**f + 2/7*w - 3 - 8/7*w**4 - 9/7*w**2. Solve g(o) = 0 for o.
1/4, 1
Suppose -2*m + 19 = -m. Suppose -7*o - 5 = -m. Find h such that -6/5*h**4 + 0 - 4/5*h - 14/5*h**o - 16/5*h**3 = 0.
-1, -2/3, 0
Factor 1/2*w**3 - w**2 + 0*w + 0.
w**2*(w - 2)/2
Suppose 0*f - 4*f = -3*z + 20, -4*z - 4*f - 20 = 0. Suppose 3*m = g + 2, m - g + 2 = -z*g. Factor -3*j**5 + 2*j**3 + 2*j**3 + j**5 - m*j.
-2*j*(j - 1)**2*(j + 1)**2
Suppose -i - 735 = 6*i. Let z be (-7)/2*45/i. Factor 0 + 3/2*f**4 - 3/2*f**2 + 0*f + 3/2*f**5 - z*f**3.
3*f**2*(f - 1)*(f + 1)**2/2
Suppose 24 = 5*i - i. Let z(h) = 3*h**2 + 3*h - 2. Let k(r) = -25*r**2 - 25*r + 16. Let g(b) = i*k(b) + 51*z(b). What is x in g(x) = 0?
-2, 1
Let h(z) be the second derivative of -10*z + 2/21*z**7 + 2/3*z**4 + 2/3*z**3 - 2/15*z**6 - 2*z**2 + 0 - 2/5*z**5. Let h(o) = 0. Calculate o.
-1, 1
Find j such that 0*j + 0 + 20/7*j**4 - 4/7*j**3 + 0*j**2 - 16/7*j**5 = 0.
0, 1/4, 1
Let w(s) be the first derivative of -5*s**3/18 - 5*s**2/6 - 5*s/6 - 18. Factor w(z).
-5*(z + 1)**2/6
Let b b