*h**2/2 - 2. Factor n(y).
-3*y*(y - 1)**2*(y + 1)**2
Let q be 1/12 - (-3)/(-36). Factor q*d**2 + 0 - 2/13*d**3 + 2/13*d.
-2*d*(d - 1)*(d + 1)/13
Let o(d) be the first derivative of -d**5/5 + 2*d**4/3 - 2*d**3/3 + 5*d - 11. Let s(l) be the first derivative of o(l). Suppose s(u) = 0. Calculate u.
0, 1
Let p(b) be the first derivative of b**6/1080 - b**5/60 + b**4/8 - b**3/3 - 3. Let y(v) be the third derivative of p(v). Factor y(l).
(l - 3)**2/3
Let n(c) be the first derivative of 2*c**5/55 + c**4/22 - 2*c**3/11 - 5*c**2/11 - 4*c/11 + 11. Factor n(u).
2*(u - 2)*(u + 1)**3/11
Let m be 4 - ((-175)/(-10))/5. Factor m*c + 1/2*c**2 + 0.
c*(c + 1)/2
Suppose 2*g + 1 = 11. Let f(v) be the second derivative of 0*v**3 + 0 + 0*v**2 + 0*v**6 + 1/168*v**7 - 1/80*v**g - v + 0*v**4. Suppose f(z) = 0. What is z?
-1, 0, 1
Let b(m) be the second derivative of m**6/30 + m**5/20 - m**4/12 - m**3/6 + 15*m. Factor b(f).
f*(f - 1)*(f + 1)**2
Let h = 17 + -15. Factor -9*n**2 + 0*n - 5*n**3 - 8*n - 3 + h*n**3 - n.
-3*(n + 1)**3
Let v(s) = s**5 + s**3 + s**2 - s + 1. Let u(q) = 6*q**5 - 7*q**4 - 7*q**3 + 5*q**2 + 8*q + 16. Let z(c) = 3*u(c) - 21*v(c). Suppose z(m) = 0. Calculate m.
-3, -1, 1
Let n(a) = -3*a - 12. Let y be n(-12). Let u = 27 - y. Let 14/9*k**4 + 8*k**2 - 20/3*k**u - 16/9*k + 0 = 0. Calculate k.
0, 2/7, 2
Let l(k) = 2*k**2 + 1. Let b(y) = 32*y**2 + 36*y - 8. Let j(x) = -b(x) - 4*l(x). Let j(w) = 0. What is w?
-1, 1/10
Let w be 352/80 - (-2)/(-5). Let 1/4*v**w - 1/4*v**2 + 0 - 1/4*v + 1/4*v**3 = 0. Calculate v.
-1, 0, 1
Let a = -2 + 6. Let q be (-29)/(-9) + (-6)/27. Factor 4*o**a + q*o**3 + 0*o**4 - o**2 + 0*o**2.
o**2*(o + 1)*(4*o - 1)
Solve -28/3*m + 8 + 4/3*m**2 = 0 for m.
1, 6
Let s(p) = p**2 - p. Let l(x) = -3*x**2 + 8*x + 4. Suppose 3*w + 5 = -2*b, 2*b - 5*w + 1 + 12 = 0. Let v(q) = b*s(q) - l(q). Factor v(z).
-(z + 2)**2
Let z(s) be the first derivative of s**6/10 + 12*s**5/25 + 3*s**4/10 - 4*s**3/5 - 9*s**2/10 + 2. What is j in z(j) = 0?
-3, -1, 0, 1
Let h = -123 - -247/2. Factor 1/2*f**2 + 0*f - h.
(f - 1)*(f + 1)/2
Let d(n) = 2*n**2 - 7*n + 5. Let w(r) = -3*r**2 + 11*r - 8. Let o(u) = 8*d(u) + 5*w(u). What is l in o(l) = 0?
0, 1
Let n(z) be the second derivative of 0*z**4 + 1/7*z**7 + 0 + 1/3*z**6 + 0*z**3 + z + 1/5*z**5 + 0*z**2. Factor n(p).
2*p**3*(p + 1)*(3*p + 2)
Factor -3/8*f**2 + 0 + 3/4*f.
-3*f*(f - 2)/8
Let t be 15/(-4) + 3/4. Let u be 0 + t/5 + 1. Factor 0*s - u*s**2 + 2/5.
-2*(s - 1)*(s + 1)/5
Let n = 76/3 + -24. Factor 4/3*i**3 - n - 4/3*i + 4/3*i**2.
4*(i - 1)*(i + 1)**2/3
Factor 0*v**2 + 4*v**2 - 3*v - v**2.
3*v*(v - 1)
Suppose -2 = -2*a, -2*a + 2 = -18*w + 21*w. Solve 8/3 - 2/3*t**2 + w*t = 0.
-2, 2
Factor 0*a**3 + 2/5*a**4 - 2/5*a**2 + 0 + 0*a.
2*a**2*(a - 1)*(a + 1)/5
Let s = 5/21 - -1/21. Factor -4/7*k + 6/7*k**2 + 0 - s*k**3.
-2*k*(k - 2)*(k - 1)/7
Suppose 3*v + 15 = 5*l, 3*l = -3*v + 8 + 1. Suppose 6 = -2*d - 2*g, 3*d + g = -d + l. Solve 2/3*b + 1/3 - 1/3*b**4 + 0*b**d - 2/3*b**3 = 0 for b.
-1, 1
Let h(r) = 6*r**2 + 2. Let j(o) be the third derivative of o**6/120 - 13*o**5/60 - 5*o**3/6 + 3*o**2. Let w(x) = 5*h(x) + 2*j(x). Factor w(y).
2*y**2*(y + 2)
Let i = 10 + -8. Let n be (-2)/i + (-30)/(-24). Factor -1/4*a**4 + 0 + 1/4*a**2 - 1/4*a**3 + n*a.
-a*(a - 1)*(a + 1)**2/4
Let v(s) be the third derivative of -s**6/720 + s**5/120 - s**4/48 + 2*s**3/3 + 4*s**2. Let r(i) be the first derivative of v(i). Determine f so that r(f) = 0.
1
Let z = 11/3 - 10/3. Suppose 0 = 4*f + b - 4, f - 4*b + 6 + 10 = 0. Factor f + 1/3*m + 1/3*m**2 - z*m**4 - 1/3*m**3.
-m*(m - 1)*(m + 1)**2/3
Suppose 20 = 6*n + 2. Factor 0*z**2 + 0 + 2/5*z**n - 2/5*z.
2*z*(z - 1)*(z + 1)/5
Let g(j) be the first derivative of j**4/24 - j**3/36 - 3*j - 2. Let y(b) be the first derivative of g(b). Suppose y(s) = 0. What is s?
0, 1/3
Factor -1/3*k**2 + 0 + 2/3*k.
-k*(k - 2)/3
Determine q so that 3*q - 2*q**3 + 5*q - 2*q**3 + q**2 + 3*q**2 = 0.
-1, 0, 2
Factor 2/11 + 0*d - 2/11*d**2.
-2*(d - 1)*(d + 1)/11
Let r(a) be the first derivative of a**6/3 - 2*a**5/5 - 3*a**4/2 + 2*a**3/3 + 2*a**2 - 21. Factor r(u).
2*u*(u - 2)*(u - 1)*(u + 1)**2
Let m(y) be the second derivative of 3/7*y**7 + 8*y + 0 - 1/3*y**3 + 0*y**2 + 2/5*y**6 - y**4 - 4/5*y**5. Find q, given that m(q) = 0.
-1, -1/3, 0, 1
Let b(o) be the third derivative of 0*o + 0 + 1/600*o**6 - 1/120*o**4 + 1/15*o**3 + 4*o**2 - 1/150*o**5. Let b(y) = 0. What is y?
-1, 1, 2
Let y(l) = 11*l**2 + 13*l. Suppose 16 = 3*d + d. Let m(z) = 2*z**2 - d*z - z - z - 7*z**2. Let i(v) = 13*m(v) + 6*y(v). Factor i(p).
p**2
Let p = -4 + 7. Let w be p/(-14)*(-35)/30. Find a, given that -1/4*a - w*a**2 + 0 = 0.
-1, 0
Let h(m) = -3*m**2 - m - 3. Let c(i) = -i**2 - 1. Let u(q) = -5*c(q) + 2*h(q). Suppose u(z) = 0. Calculate z.
-1
Let r(l) be the second derivative of -1/3*l**3 + 1/12*l**4 - 2*l + 0 + 1/2*l**2. Factor r(y).
(y - 1)**2
Let h(u) be the second derivative of 1/4*u**2 + 4*u + 0 + 0*u**4 - 1/8*u**3 + 1/80*u**5. Factor h(y).
(y - 1)**2*(y + 2)/4
Let s = -33 + -52. Let g = s + 427/5. Factor 2/5*r**3 + 0*r + 0*r**4 + 0*r**2 + 0 - g*r**5.
-2*r**3*(r - 1)*(r + 1)/5
Let h(d) be the first derivative of -d**7/147 - 2*d**6/105 + d**4/21 + d**3/21 + d + 6. Let s(y) be the first derivative of h(y). Factor s(o).
-2*o*(o - 1)*(o + 1)**3/7
Let h = 2/51 - -28/153. Find y, given that 0*y - 2/9*y**5 + 2/9*y**4 + 0 + 2/9*y**3 - h*y**2 = 0.
-1, 0, 1
Suppose 4*j - 5*w + 10 = 29, -w = 4*j - 25. Let -j*h**3 + 1 - 8*h - h**4 - 4 - 12*h**2 + 3 = 0. What is h?
-2, 0
Let h be 2 - (16/(-6))/((-44)/(-66)). Let q(w) be the third derivative of 4*w**2 + 1/60*w**h + 0*w + 0*w**5 + 0 + 0*w**4 + 0*w**3. Factor q(n).
2*n**3
Let j be (-105)/(-10)*(-74)/9. Let x = j - -87. Factor -2/3*m**3 - 2/3 + 2/3*m + x*m**2.
-2*(m - 1)**2*(m + 1)/3
Let f = 13 + -24. Let t(u) = 2*u**2 + 15*u - 17. Let r(g) = -g**2 - 5*g + 6. Let s(m) = f*r(m) - 4*t(m). Let s(x) = 0. What is x?
2/3, 1
Suppose 4*l - 15 = -0*l - 3*v, -5*l = 4*v - 19. Determine u, given that 4/9*u**2 + 0 + 2/9*u**l + 2/9*u = 0.
-1, 0
Let i = 194/3 - 64. What is k in 2/3*k - i*k**3 + 4/3*k**2 - 4/3 = 0?
-1, 1, 2
Let o(r) be the second derivative of 3*r + 1/100*r**5 - 1/60*r**4 - 1/30*r**3 + 1/10*r**2 + 0. Determine n, given that o(n) = 0.
-1, 1
Let z(i) = -8*i**2 - 5*i + 8. Let v(q) = -39*q**2 - 24*q + 39. Let r(a) = 5*v(a) - 24*z(a). Factor r(o).
-3*(o - 1)*(o + 1)
Let y(b) be the first derivative of -1/4*b**4 - 1 - b - 3/2*b**2 - b**3. What is q in y(q) = 0?
-1
Let v be (-1)/(2 - 25/10). Factor 0 - 1/3*i**v + 1/3*i.
-i*(i - 1)/3
Let p(c) be the third derivative of 4*c**7/315 + c**6/60 - c**5/90 + 15*c**2. Factor p(k).
2*k**2*(k + 1)*(4*k - 1)/3
Let i(n) be the third derivative of n**5/180 - n**4/12 + n**3/2 + 5*n**2. Factor i(q).
(q - 3)**2/3
Factor -5 + 5 - 3*b**3 + 3*b.
-3*b*(b - 1)*(b + 1)
Let z(x) be the first derivative of -x**3/9 - x**2/3 + x - 3. Factor z(c).
-(c - 1)*(c + 3)/3
Let t(a) be the third derivative of -1/30*a**4 + 0*a + 8*a**2 + 0 + 1/150*a**5 + 0*a**3. Solve t(o) = 0 for o.
0, 2
Let m be (-4)/14 - 4/(-14). Let y be (-9)/(-28) + (-2)/(-8). Factor m + y*w - 2/7*w**2.
-2*w*(w - 2)/7
Let f = 493 - 490. Solve 1/4*u**4 + 0 - 1/4*u**2 - 1/4*u**f + 1/4*u = 0 for u.
-1, 0, 1
Let o = 357 - 357. Solve 1/3*n**3 - 1/3*n**5 + 1/3*n**2 + o - 1/3*n**4 + 0*n = 0.
-1, 0, 1
Let g(o) be the third derivative of 1/2*o**4 + 5*o**2 + 3/2*o**3 + 0*o + 0 + 1/15*o**5. Factor g(k).
(2*k + 3)**2
Let r = -254 + 1271/5. Factor 3/5 + 1/5*s**2 + s - r*s**3.
-(s - 3)*(s + 1)**2/5
Suppose -r - 13 = -5*a, -r = -4 + 2. Factor 4*d**2 - 3*d + a*d.
4*d**2
Suppose -18 = 3*b - 5*b. Factor -g**3 + 2*g**3 - 9*g + 3*g**3 - b*g**2 - 3 - 7*g**3.
-3*(g + 1)**3
Let t(m) = 12*m**5 + 12*m**4 - 72*m**3 + 80*m**2 - 16*m. Let k(z) = -z**5 + z**4 - z. Let b(s) = 16*k(s) + t(s). Factor b(w).
-4*w*(w - 2)**3*(w - 1)
Solve -33*i**2 - 3*i**3 + 15*i + 53*i**2 + 8*i**3 = 0.
-3, -1, 0
Let s = 9/2 - 17/4. Let l(z) be the first derivative of -1/6*z**6 + s*z**4 - 1 + 0*z - 1/5*z**5 + 0*z**2 + 1/3*z**3. Factor l(r).
-r**2*(r - 1)*(r + 1)**2
Factor 2/9*r**4 - 2/9*r + 0 + 2/9*r**3 - 2/9*r**2.
2*r*(r - 1)*(r + 1)**2/9
Let k(z) be the first derivative of z**5/40 + z**4/8 + z**3/4 + z**2 - 2. Let l(g) be the second derivative of k(g). Factor l(v).
3*(v + 1)**2/2
Let 