**5/540 - o**4/54 + 2*o**3/27 + 18*o**2. Factor f(j).
(j - 2)**2/9
Let u(n) = n**4 + 5*n**3. Let f(a) = -a**4 - a**3 + 0*a - 4*a + 4*a. Let b(c) = 3*f(c) + u(c). Factor b(h).
-2*h**3*(h - 1)
Let u(a) be the second derivative of 1/54*a**4 + 0 - 2/9*a**2 - 1/27*a**3 + 3*a. Factor u(h).
2*(h - 2)*(h + 1)/9
Let u = 43 + -42. Let q be 40/(-12) + 3 + u. Factor 2*c**2 + 2*c + 2/3 + q*c**3.
2*(c + 1)**3/3
Let g(c) be the second derivative of 2*c**7/21 - 4*c**6/15 + c**5/5 + 3*c. Factor g(h).
4*h**3*(h - 1)**2
Let o(k) = k**2 + k - 1. Let x(p) = 8*p**2 + 11*p - 10. Let v(m) = 36*o(m) - 4*x(m). Solve v(q) = 0 for q.
1
Let n be 0/((-5)/(-4) - (-1)/(-4)). Factor -2/5*d**3 + 4/5*d - 2/5*d**2 + n.
-2*d*(d - 1)*(d + 2)/5
Let l(g) be the first derivative of g**6/11 + 4*g**5/11 + 6*g**4/11 + 4*g**3/11 + g**2/11 + 9. Factor l(a).
2*a*(a + 1)**3*(3*a + 1)/11
Let b = 1122/7 + -160. Solve -b*w**4 - 2/7*w**3 + 0*w**2 + 0*w + 0 = 0.
-1, 0
Factor -4*i**2 + 192/5 - 32/5*i + 4/5*i**3.
4*(i - 4)**2*(i + 3)/5
Let r(h) = -5*h**5 + 7*h**4 + 2*h**3 + 4*h**2 + 4. Let x(q) = -14*q**5 + 20*q**4 + 5*q**3 + 11*q**2 + 11. Let a(i) = -11*r(i) + 4*x(i). Factor a(j).
-j**3*(j - 2)*(j - 1)
Let u be (-3)/(21/(-2)) + (-2)/8. Let d(r) be the third derivative of u*r**4 + 2*r**2 + 0*r + 0 + 1/420*r**6 + 1/70*r**5 + 1/21*r**3. Let d(l) = 0. Calculate l.
-1
Let g(h) be the second derivative of -1/20*h**5 + 1/2*h**2 + 1/4*h**4 - 1/2*h**3 + 0 + 4*h. Factor g(r).
-(r - 1)**3
Suppose s - 17 = 3*n, -4*n - 22 = -5*s + 4*s. Let s*t + 2/3*t**3 + 2*t**2 + 2/3 = 0. Calculate t.
-1
Let c(a) = -39*a**4 + 6*a**3 + 31*a**2 - 6*a + 4. Let w(u) = -430*u**4 + 65*u**3 + 340*u**2 - 65*u + 45. Let t(s) = 45*c(s) - 4*w(s). Factor t(x).
-5*x*(x - 1)*(x + 1)*(7*x - 2)
Let b(z) be the second derivative of 1/2*z**2 - 1/60*z**4 + z + 0 - 1/300*z**5 + 0*z**3. Let g(r) be the first derivative of b(r). Factor g(n).
-n*(n + 2)/5
Let c = 416/633 + 2/211. Solve 8/3*q**2 + 8/3*q + 0 + c*q**3 = 0.
-2, 0
Factor 4/7 + 6/7*n + 2/7*n**2.
2*(n + 1)*(n + 2)/7
Let l = -307/3 - -103. Factor 2/3*f**2 - l*f**4 + 0*f**3 - 1/3*f**5 + 1/3*f + 0.
-f*(f - 1)*(f + 1)**3/3
Suppose -3*a + c = 0, -3*a - a - c = 0. Factor a*k**2 + 0*k + 0 + 2/5*k**3 + 2/5*k**4.
2*k**3*(k + 1)/5
Determine t so that -4/7*t + 6/7*t**4 - 6/7*t**2 + 2/7*t**5 + 2/7*t**3 + 0 = 0.
-2, -1, 0, 1
Let 4*j**2 + 60/7*j + 4/7*j**3 + 36/7 = 0. What is j?
-3, -1
Let h = -51 - -160/3. Factor h*w**3 + 2/3*w**2 + 0 + 0*w.
w**2*(7*w + 2)/3
Let h(o) = 6*o**2 + 2 - 5*o - o**2 - 2*o + 3. Let v(z) = -20 + 34*z - 24*z**2 + 2 - 6. Let u(x) = 14*h(x) + 3*v(x). Let u(i) = 0. What is i?
1
Factor -3/7*w + 0 - 3/7*w**2.
-3*w*(w + 1)/7
Let g(w) = -9*w**3 + 3*w**2 - 3*w - 3. Let r = 0 - -3. Let l(o) = -o**4 + 17*o**3 - 5*o**2 + 5*o + 5. Let h(k) = r*l(k) + 5*g(k). Factor h(j).
-3*j**3*(j - 2)
Find j such that 0*j**4 + 7*j - 3*j + 8*j**3 - 2*j + 3*j**4 + 7*j**2 = 0.
-1, -2/3, 0
Suppose n**5 + 0*n**4 - 6*n + 1 - 2*n**3 + 6*n + n - 2*n**2 + n**4 = 0. What is n?
-1, 1
Let -40*f + 26/3*f**2 + 20/3*f**3 + 24 + 2/3*f**4 = 0. What is f?
-6, 1
Factor 0 - 8/3*o**4 - 8/3*o**2 - 4*o**3 - 2/3*o**5 - 2/3*o.
-2*o*(o + 1)**4/3
Suppose -9*d = -4*d - 25. Suppose -3*l + 5 = -5*q, 3*q + d = -2*q. Factor 0*i**2 + 0 + i**4 + 0*i + l*i**3 - 7/2*i**5.
-i**4*(7*i - 2)/2
Let s(l) = 2*l - 1. Let q be s(3). Let f be 5/(-10) + -3 + q. Factor 0 + f*d**2 + 1/2*d**3 + d.
d*(d + 1)*(d + 2)/2
Let p(g) = -g**4 - g**3 - g**2. Let j(n) = 3*n**5 + 15*n**4 + 21*n**3 + 15*n**2 + 3*n. Let t(q) = j(q) + 3*p(q). Factor t(y).
3*y*(y + 1)**4
Factor -1/2*t**2 - 3/2*t**4 + 1/2*t**5 + 0 + 3/2*t**3 + 0*t.
t**2*(t - 1)**3/2
Factor 2*h**3 + h**3 - 6 - 12*h**2 + 6 + 12*h.
3*h*(h - 2)**2
Let t(h) be the third derivative of -h**6/440 + 7*h**5/660 - h**4/132 - 3*h**2. Let t(p) = 0. What is p?
0, 1/3, 2
Let o(k) be the third derivative of -k**5/100 - k**4/12 + 4*k**3/15 - 8*k**2. Suppose o(y) = 0. What is y?
-4, 2/3
Let h(p) = -p**2 + 16*p + 14. Let q(u) = u**2 + 1. Let v(t) = -h(t) + 2*q(t). Solve v(i) = 0 for i.
-2/3, 6
Factor -2*t - t**3 - 10 - 1/2*t**4 + 15/2*t**2.
-(t - 2)**2*(t + 1)*(t + 5)/2
Find l, given that -20/3*l**3 + 20/3 - 5/3*l**4 + 20/3*l - 5*l**2 = 0.
-2, -1, 1
Let h be 6 + 0 + (-8 - -6). Suppose 3*s - s - 8 = h*l, 1 = -l. Factor 2/3 - 4/3*a**3 + 0*a**s - 2/3*a**4 + 4/3*a.
-2*(a - 1)*(a + 1)**3/3
Factor 126 - 2*a**4 + 3*a - 10*a**2 + 125 + 9*a**3 - 251.
-a*(a - 3)*(a - 1)*(2*a - 1)
Suppose -3*k + 4 = -5*i + 4*i, i + 10 = 5*k. Let v(b) be the second derivative of 1/20*b**i - 1/6*b**3 - b**2 + 0 - b + 1/6*b**4. Find r, given that v(r) = 0.
-2, -1, 1
Let t = -7 + 12. Suppose t*n + 4*g = -16, -5*n + g = -g - 8. What is x in 2/3*x - 2*x**2 + n = 0?
0, 1/3
Let u(k) = 5*k - 10. Let i be u(3). Let g be 4/14 - (1 - 1). What is v in 4/7*v**4 - 4/7*v**2 - g*v**i + 0*v**3 + 0 + 2/7*v = 0?
-1, 0, 1
Suppose 2/9*r**3 + 0 - 4/9*r**2 - 2/3*r = 0. Calculate r.
-1, 0, 3
Let u(f) be the first derivative of f**7/840 - f**6/90 + f**5/24 - f**4/12 - f**3/3 + 1. Let g(z) be the third derivative of u(z). Solve g(m) = 0 for m.
1, 2
Let s(i) be the second derivative of -i**6/10 + i**4/4 - 10*i. Let s(h) = 0. Calculate h.
-1, 0, 1
Solve 0*p**2 + 0 + 0*p - 1/2*p**4 + 0*p**3 = 0.
0
Factor 12*k - 9*k + 9*k**2 - 9*k**4 - 4*k + 3*k**3 - 2*k.
-3*k*(k - 1)*(k + 1)*(3*k - 1)
Let j = -2 - -5. Suppose -v = j*r - 8*r - 29, 3*v + 5*r = -13. Suppose 0*m - 2/9*m**5 + 2/9*m**2 + 2/9*m**3 + 0 - 2/9*m**v = 0. Calculate m.
-1, 0, 1
Solve -5 - 6 + 27 + 8*a**2 - 28*a + 4*a**3 = 0.
-4, 1
Let c be 1/((2/(-4))/(-1)). Let b(j) be the second derivative of -9/20*j**5 - 7/6*j**3 - 5/4*j**4 + 0 - 1/2*j**c + 2*j. Let b(n) = 0. Calculate n.
-1, -1/3
Let f(n) be the first derivative of 2/9*n**3 - 1 + 0*n**4 - 1/18*n**6 + 0*n + 1/6*n**2 - 2/15*n**5. Determine l, given that f(l) = 0.
-1, 0, 1
Let n be (-3)/4 - (-3)/(-12) - -3. Factor 0*p + 0 + 2/5*p**4 - 2/5*p**n + 1/5*p**5 - 1/5*p**3.
p**2*(p - 1)*(p + 1)*(p + 2)/5
Suppose -m = m - 6. Factor -17*t**3 - 7*t**m - 33*t**2 + 0*t**3 - 6*t - 9*t**4 + 12*t**2.
-3*t*(t + 1)**2*(3*t + 2)
Let n = 53/10 - 9/2. Let 2/5*o + 2/5*o**3 + 0 + n*o**2 = 0. What is o?
-1, 0
Let v(k) be the third derivative of k**7/42 - k**6/6 + 10*k**4/3 - 40*k**3/3 + k**2 - 20. Find f such that v(f) = 0.
-2, 2
Suppose -3*v + 42 = -6*v. Let p be (-4)/v - (-6)/21. Factor 2/7*a - 2/7*a**2 + p.
-2*(a - 2)*(a + 1)/7
Let b(g) be the second derivative of g**7/49 - 17*g**6/105 + 33*g**5/70 - 23*g**4/42 + 4*g**2/7 + 10*g. Suppose b(j) = 0. Calculate j.
-1/3, 1, 2
Let d(m) be the first derivative of 3*m**4/28 - 9*m**3/7 + 36*m**2/7 - 48*m/7 - 24. Factor d(s).
3*(s - 4)**2*(s - 1)/7
Let g(s) = 7*s**3 - 6*s**2 - s + 4. Let z(l) = -6*l**3 + 6*l**2 - 3. Let y(m) = m - 13. Let x be y(17). Let p(v) = x*z(v) + 3*g(v). Solve p(q) = 0.
0, 1
Let r(q) = -q**3 + 9*q**2 - 13*q - 3. Let j be r(7). Let v(c) be the first derivative of 3/4*c**j + 3/4*c + 9/4*c**3 + 4 + 9/4*c**2. Factor v(f).
3*(f + 1)**2*(4*f + 1)/4
Let h(q) = 3*q**2 - q - 1. Let j be h(2). Suppose -t**4 - 2 - t - t + 5*t**3 + j*t - 9*t**2 + 0*t = 0. Calculate t.
1, 2
Let d be 2/(2*(-2)/6). Let k = 7 + d. Factor 3/2*z**2 - 1/2*z**k + 1/2*z**3 - 1 - 1/2*z.
-(z - 2)*(z - 1)*(z + 1)**2/2
Let v(j) be the second derivative of 0*j**2 + 1/30*j**5 + 3*j + 1/90*j**6 + 0*j**3 + 0 + 1/36*j**4. Factor v(w).
w**2*(w + 1)**2/3
Let q = -54 - -57. Factor 0*k**2 + 1/2*k**q + 0*k + 0 - 1/2*k**4.
-k**3*(k - 1)/2
Suppose 5*c = r + 39, 0*r + 5*r = -20. Determine g so that g**2 + 3*g + 16 + 3*g - c = 0.
-3
Let p be 4/30 - (-36)/(-270). Let n(f) be the second derivative of 1/12*f**4 + 1/6*f**6 + 0*f**3 - f - 1/5*f**5 + 0*f**2 + p - 1/21*f**7. Factor n(y).
-y**2*(y - 1)**2*(2*y - 1)
Let m(o) = 5*o + 57. Let g be m(-9). Suppose -g*k - 21/4*k**2 - 3 = 0. What is k?
-2, -2/7
Let c be (130/(-12) - -1) + -1. Let o = c - -37/3. Let -o + 0*v**2 + 3*v**3 - 3*v + 3/2*v**4 = 0. Calculate v.
-1, 1
Let b be 18*12/105 - 2. Let z(d) be the first derivative of 1 + 0*d**2 - 1/14*d**4 + 0*d**3 + 0*d + b*d**5. Determine u, given that z(u) = 0.
0, 1
Suppose -6*q = q - 35. Let k(z) be the first derivative of 1/3*z**4 + 2/3*z**2 - 3 + 1/3*z + 2/3*z**3 + 1/15*z**q. Factor k(m).
(m + 1)**4/3
Let g(w) = -25*w**4 - 16*w**3 + 30*w**2 + 16*w - 5. Let f(n) = 26*n**4 + 16*n**3 - 30*