+ 283*g**3 - 48*g**4 - 185*g**2 - 69*g**4.
5*(g - 2)*(g - 1)**3*(4*g - 1)
Let b be (-3 + 11)*(-6)/(-18). Let x = b - 37/15. Suppose 1/5*h - x*h**2 + 0 = 0. Calculate h.
0, 1
Let f(r) be the third derivative of 0*r**3 + 10*r**2 + 0*r + 0*r**5 + 1/84*r**4 + 0 - 1/420*r**6. Factor f(s).
-2*s*(s - 1)*(s + 1)/7
Factor 3/2 + 12*q**2 + 33/4*q + 21/4*q**3.
3*(q + 1)**2*(7*q + 2)/4
Factor -4*f**3 + 2*f**3 - f + 6 - 6*f**2 + 3*f.
-2*(f - 1)*(f + 1)*(f + 3)
Let g(r) be the first derivative of r**5/270 + r**4/108 - r**2/2 - 2. Let i(a) be the second derivative of g(a). Factor i(t).
2*t*(t + 1)/9
Let x be 2/3 - 96/252. Factor -x*u**2 - 12/7*u - 18/7.
-2*(u + 3)**2/7
Factor 0*c - 7*c**3 + 3*c + 2 - 6*c + 8*c**3.
(c - 1)**2*(c + 2)
Let n be (-4)/72*-3 + 0. Let u(j) be the first derivative of -1/3*j**6 + 0*j**2 - 1 + n*j**4 + 0*j + 4/15*j**5 + 0*j**3. Factor u(h).
-2*h**3*(h - 1)*(3*h + 1)/3
Let x(l) = l**2 + l - 1. Let g be x(-3). Suppose -14*p - g - 22*p**5 + 1 + 4*p**4 + 16*p**5 + 20*p**3 = 0. Calculate p.
-1, -1/3, 1, 2
Let z(m) = m**3 - m**2 + m. Let c be z(0). Suppose c = s + 3*s. Factor -8*r + s + 0 - 1 - 16*r**2.
-(4*r + 1)**2
Let s(u) = -2*u**4 + 78*u - 2 - 85*u + 13*u**2 + 2 + 10*u**3. Let j(r) = r**4 - 3*r**3 - 4*r**2 + 2*r. Let g(l) = 7*j(l) + 2*s(l). Factor g(k).
k**2*(k - 1)*(3*k + 2)
Let g(q) be the third derivative of -1/1512*q**8 + 0*q**5 - 1/945*q**7 + 0*q**3 + 0*q + 0 + 0*q**4 + 0*q**6 + 2*q**2. Factor g(h).
-2*h**4*(h + 1)/9
Let s = 4 - 2. Suppose 4*j + 8 = -4, 5*j + 27 = 4*b. Factor 2*n**4 + 0*n**3 + 0*n**b + s*n**3.
2*n**3*(n + 1)
Let 10 + 54*r - 15*r**2 + 13 - 1 + 2 = 0. Calculate r.
-2/5, 4
Suppose m - 31 = -4*t, -4*t + 2*m = -m - 19. Find z such that -t*z**5 + 11*z**5 - 6*z**5 - 4*z**2 + 6*z**3 = 0.
-2, 0, 1
Suppose 0*s**3 + 15*s**2 + s**3 - 6*s**3 - 7*s**2 - 4*s + s**4 = 0. Calculate s.
0, 1, 2
Suppose -5*l - 4*w = -6, 0*l - 3*l + 2*w + 8 = 0. Factor -4/7*v - 2/7 + 0*v**l + 2/7*v**4 + 4/7*v**3.
2*(v - 1)*(v + 1)**3/7
Let y(h) be the second derivative of -h**6/10 + 9*h**5/20 - h**4/4 - 3*h**3/2 + 3*h**2 + 12*h. Suppose y(o) = 0. Calculate o.
-1, 1, 2
Let p(q) be the second derivative of -q**5/90 + q**3/27 - 7*q. Factor p(r).
-2*r*(r - 1)*(r + 1)/9
Solve -6/5 - 16/5*l + 2/5*l**4 + 0*l**3 - 12/5*l**2 = 0 for l.
-1, 3
Suppose 4*l + 10 + 42 = 0. Let t = l + 22. Factor -3*f**2 - t*f**3 - f**5 - 2*f**5 + 24*f**4 - 33*f**4.
-3*f**2*(f + 1)**3
Let z(t) = 14*t**5 + 44*t**4 + 56*t**3 + 18*t**2. Let a(h) = 13*h**5 + 43*h**4 + 56*h**3 + 19*h**2. Let d(v) = 6*a(v) - 5*z(v). Find i such that d(i) = 0.
-2, -3/4, 0
Let f(r) = 2*r - 7. Let g be f(5). Let i be 1 + (-1)/1 + 2. Suppose -2*n + 3*n**2 - 7*n**g + i*n**3 + 4*n**2 = 0. Calculate n.
0, 2/5, 1
Let o = -415/4 + 104. Factor 3/4*l**3 + o*l - 3/4*l**2 - 1/4*l**4 + 0.
-l*(l - 1)**3/4
Suppose -2*f - 6 = 4*n, 0 = f - 2*f + n + 9. Determine o so that -2/3*o**3 + 0*o + 0 - 2/3*o**f + 0*o**2 + 4/3*o**4 = 0.
0, 1
Let o(h) be the third derivative of h**7/840 - h**5/80 - h**4/48 - 5*h**2. Determine y, given that o(y) = 0.
-1, 0, 2
Factor 0 - 2/9*p**2 - 2/9*p**3 + 2/9*p + 2/9*p**4.
2*p*(p - 1)**2*(p + 1)/9
Let j(z) be the second derivative of -1/21*z**3 + 1/42*z**4 + 0 + 4*z + 0*z**2. Find g, given that j(g) = 0.
0, 1
Suppose 3*d - 8 = g + 2, -2*g - 10 = -d. Let l be 1/(-15) + d/5. Let 0 - l*f + 1/3*f**2 = 0. What is f?
0, 1
Suppose -5*l = l - 12. Let s(t) be the second derivative of 0 + 2*t + 0*t**l - 1/18*t**3 + 1/9*t**4 + 1/45*t**6 - 1/12*t**5. Determine g, given that s(g) = 0.
0, 1/2, 1
Suppose -f + r - 2 = -2*f, 3*r + 18 = 5*f. Factor 3*y**2 + 0*y**f + 2*y**3 - y**3 - 4*y**3.
-3*y**2*(y - 1)
Let y be 1/(-5)*25/(-120). Let m(b) be the third derivative of y*b**3 + 0*b + 1/240*b**5 + 0 - 1/48*b**4 - 3*b**2. Suppose m(z) = 0. What is z?
1
Let r(p) be the first derivative of -3*p**5/20 - 3*p**4/8 + 3*p**2/4 + 3*p/4 + 12. Factor r(f).
-3*(f - 1)*(f + 1)**3/4
Let i be (-2)/(-3) - 4/6. Let z be (-136)/(-220) + (-18)/(-99). Factor 0*g - 6/5*g**3 + i - z*g**2.
-2*g**2*(3*g + 2)/5
Suppose 3*d + 6 = 3*i, -5*i + 3*d = -9 - 9. Let y(g) be the second derivative of 0*g**5 + 0*g**2 + 0*g**4 + 0*g**3 - 2*g + 0 - 1/90*g**i. Factor y(c).
-c**4/3
Let r(t) be the first derivative of -t**6/30 + 2*t**5/25 - t**4/20 + 16. Factor r(u).
-u**3*(u - 1)**2/5
Let x(d) = d**5 - 6*d**4 - 7*d**3 + 4*d**2 + 3*d - 1. Let v(l) = 12*l**5 - 66*l**4 - 78*l**3 + 44*l**2 + 32*l - 12. Let h(u) = -6*v(u) + 68*x(u). Factor h(s).
-4*(s - 1)*(s + 1)**4
Let p(u) = -u + 16. Let j be p(12). Suppose -j*k - k = -10. Suppose -4/9 + 2/3*v - 2/9*v**k = 0. What is v?
1, 2
Suppose 17*w**5 - 2*w**3 + 10*w**5 - w**3 - 24*w**4 = 0. Calculate w.
-1/9, 0, 1
Let k(x) be the third derivative of 2/315*x**7 + 0*x**6 + 0*x**3 + 1/504*x**8 - 1/36*x**4 + 0*x + 0 - 4*x**2 - 1/45*x**5. Factor k(c).
2*c*(c - 1)*(c + 1)**3/3
Let w(i) be the third derivative of -i**6/280 + i**5/140 + i**4/56 - i**3/14 + 24*i**2. Solve w(b) = 0.
-1, 1
Let k(x) be the first derivative of -3*x - 1/12*x**4 - 1/6*x**3 + 3 + 1/20*x**5 + 0*x**2 + 1/30*x**6. Let a(d) be the first derivative of k(d). Factor a(l).
l*(l - 1)*(l + 1)**2
Let x(t) = -8*t**2 + 8. Let g(a) be the first derivative of a**3 - 3*a - 1. Let o(f) = f**2 - 3*f - 4. Let r be o(3). Let m(b) = r*x(b) - 11*g(b). Factor m(d).
-(d - 1)*(d + 1)
Suppose 8*b**3 + 50 - 109 + 55 - 8*b + 4*b**4 = 0. What is b?
-1, 1
Suppose -3*n - 4 = a - 21, 4*n - 22 = -a. Factor -5*w**2 - 3*w**2 - 4*w**4 + 12*w**a.
-4*w**2*(w - 1)*(w + 1)
Suppose 3*i + 20 = 7*i. Let g be (-5)/(0 - i)*0. Determine b, given that 0 + g*b + 4/5*b**3 - 2/5*b**4 - 2/5*b**2 = 0.
0, 1
Let s(v) = 7*v**3 + 17*v**2 + 23*v + 8. Let l(b) = -8*b**3 - 18*b**2 - 24*b - 8. Let i(f) = 5*l(f) + 6*s(f). Determine u so that i(u) = 0.
-4, -1
Let l(g) = g**3 - g**2 - g. Let b(f) = 3*f**4 + 14*f**3 - 2*f**2 - 14*f - 6. Let c(x) = -b(x) + 5*l(x). Find p such that c(p) = 0.
-2, -1, 1
Suppose 32 + 47*h - 17*h - 14*h + 2*h**2 = 0. Calculate h.
-4
Let l(p) = 2*p - 8. Let v be l(6). Suppose -4*o - 8*o**v + 8*o**4 + o + 6*o**3 - 3*o**5 = 0. What is o?
-1, 0, 1
Let m(z) be the third derivative of -z**7/70 + z**6/30 - z**5/30 + 7*z**4/24 + 5*z**2. Let p(i) be the second derivative of m(i). Factor p(j).
-4*(3*j - 1)**2
Let a be 2 - (2 - 2)/3. Suppose p = -5*x, a*p - x - 5 = -6*x. What is o in -p*o**4 - 2*o**3 + 0*o**4 + 2*o**4 - o**2 - o**5 - o**3 = 0?
-1, 0
Let b be (-33)/44*(-8)/9. What is v in -1/3*v**2 - b*v**3 + 0*v + 0 - 1/3*v**4 = 0?
-1, 0
Let y(u) = u**3 - 2*u**2 - u - 1. Let m be y(3). Let r be (m - 1)*(-6)/(-12). Factor 10/7*t**3 - r*t**4 - 2/7*t**2 + 0 + 0*t + 6/7*t**5.
2*t**2*(t - 1)**2*(3*t - 1)/7
Factor -32/9 + 32/9*x + 2/3*x**2 - 7/9*x**3 + 1/9*x**4.
(x - 4)**2*(x - 1)*(x + 2)/9
Let q be ((-4)/(-12))/(2/24). Let y = q + 0. Solve 45*p**3 + 120*p**4 - 65*p**5 + y*p**2 + 191*p**5 - 7*p**3 = 0.
-1/3, -2/7, 0
Let n be (2 - 14/4)*-4. Let f be -1*(4 - (n - 2)). What is y in 0*y + 2/7*y**3 + f + 2/7*y**2 = 0?
-1, 0
Suppose 0 = 9*v - 4*v + 40. Let s = v - -9. Find n, given that 7/2*n**2 + s - 9/2*n = 0.
2/7, 1
Suppose 4*l - 32 = -3*g, -2*g = -5*g + 3*l + 39. Let 4*a + g*a**2 + 1/3 = 0. Calculate a.
-1/6
Suppose -4 = -2*p, 4*p - 20 = -4*l - 0*l. Factor 4*u + 3 + 2*u**2 - 3*u - 1 + l*u.
2*(u + 1)**2
Let n(l) = 3*l**3 + 2*l**2 - 4*l + 4. Let f(z) = 3*z**3 + 3*z**2 - 3*z + 3. Let c(y) = -4*f(y) + 3*n(y). Factor c(m).
-3*m**2*(m + 2)
Suppose -5*m + 6*m = 4. Suppose -n**m + 3 - n**2 + 1 + 2*n**3 - 4 = 0. What is n?
0, 1
Let d(j) = -2*j**2 - 7*j - 11. Let y(h) = -3*h**2 - 7*h - 12. Let b(r) = -4*d(r) + 3*y(r). Factor b(t).
-(t - 8)*(t + 1)
Let y = 23107/165 + 190/33. Let w = -145 + y. Find b, given that -4/5 + w*b - 1/5*b**2 = 0.
2
Let v(m) be the second derivative of -m**6/600 + m**5/75 - m**4/24 + m**3/15 - m**2 + 4*m. Let c(j) be the first derivative of v(j). Let c(z) = 0. Calculate z.
1, 2
Solve 10*b**2 + 14*b**2 - 9*b**2 - 3*b**3 - 30*b + 96*b + 48 = 0 for b.
-2, -1, 8
Suppose 4*w + 4/3*w**5 + 0*w**4 - 16/3*w**3 - 8/3 + 8/3*w**2 = 0. What is w?
-2, -1, 1
Let f be ((-2)/(-4))/((-2)/(-16)). Let b be 2 - (0 - 0/1). Factor 2*k**f + k**2 - k**4 + 0*k**2 + b*k**3.
k**2*(k + 1)**2
Let g(v) be the first derivative of v**4/4 + 4*v**3/3 + v**2/2 - 6*v + 31. Determine a so that g(a) = 0.
-3, -2, 1
Suppose -2*l