tor z(f).
2*(f - 1)**3*(f + 1)**2
Let m(u) = -6*u - 7. Let y be m(-2). Suppose -4*i = 4*h - 2 - 14, -y*h - 3*i + 12 = 0. Factor 0 - 1/3*x**4 - 4/3*x**2 + h*x - 4/3*x**3.
-x**2*(x + 2)**2/3
Suppose 5*r - 3*t = 1, 3*r + 12*t = 9*t + 15. Factor 3/2*j**3 + 0 + 3/2*j + 3*j**r.
3*j*(j + 1)**2/2
Let u(j) be the second derivative of -j**5/20 - j**4/36 + 2*j**3/3 + 2*j**2/3 - 9*j. Solve u(o) = 0 for o.
-2, -1/3, 2
Let h be (-414)/(-700) - 52/91. Let m(q) be the second derivative of -h*q**6 + 0 + 2/5*q**3 + 3/25*q**5 - 3/10*q**2 + 3*q - 3/10*q**4. Factor m(x).
-3*(x - 1)**4/5
Suppose -v - 3*v = 3*s - 10, 0 = -3*v + 4*s + 20. Suppose 0 = 3*k + v*x - 10, -3*x - 2 = -k - 3. Factor 0*n - 5/3*n**4 - 1/3*n**k + 4/3*n**3 + 2/3*n**5 + 0.
n**2*(n - 1)**2*(2*n - 1)/3
Suppose -3*b - 3*p = -18 + 3, -4*b + 5*p = 7. Factor -2*w - 2/3*w**b - 4/3.
-2*(w + 1)*(w + 2)/3
Suppose -24 = -7*p + p. Factor 6/5*o**p + 12/5*o**2 - 3/5*o - 3*o**3 + 0.
3*o*(o - 1)**2*(2*o - 1)/5
Let y(n) be the first derivative of 2 - 3/2*n**2 + 0*n - 1/60*n**4 + 1/150*n**5 + 0*n**3. Let x(d) be the second derivative of y(d). Factor x(l).
2*l*(l - 1)/5
Let f(l) be the third derivative of 0*l**3 + 0*l - 1/480*l**6 + 2*l**2 - 1/240*l**5 + 1/48*l**4 + 0. Determine w, given that f(w) = 0.
-2, 0, 1
Suppose -w + 16 - 4 = 0. Suppose i = -w + 14. Determine b, given that -4/9*b + 0 + 2/9*b**i = 0.
0, 2
Let r(g) be the first derivative of 5 + 0*g + 0*g**3 + 0*g**2 - 1/16*g**4. What is h in r(h) = 0?
0
Suppose -15 = -5*k - 0*k. Let f(y) be the first derivative of 0*y**3 - 1/20*y**5 + 1/16*y**4 + 0*y**2 + 0*y + k. Determine h, given that f(h) = 0.
0, 1
Let h = 136 - 543/4. Let x(o) be the third derivative of 1/60*o**6 - 2*o**2 + 0*o - h*o**4 - 2/3*o**3 + 0 + 0*o**5. Solve x(f) = 0.
-1, 2
Let d(n) = -12*n**4 + 14*n**3 - 10*n**2 + 2*n + 2. Let l(q) = q**5 + 25*q**4 - 27*q**3 + 21*q**2 - 5*q - 5. Let u(f) = -5*d(f) - 2*l(f). Factor u(i).
-2*i**2*(i - 2)**2*(i - 1)
Let v(c) be the first derivative of c**7/21 + c**6/15 - c**5/10 - c**4/6 - 8*c + 8. Let f(h) be the first derivative of v(h). Factor f(n).
2*n**2*(n - 1)*(n + 1)**2
Suppose -4*l + u + 15 = -0*l, -3*u = 9. Factor 7*g**3 - 23*g**2 + 6*g + 20*g**l - 10*g**2.
3*g*(g - 1)*(9*g - 2)
Let k be ((-148)/555)/((-1)/10). Let c be (2/5)/(3/5). Factor 0 + 10/3*p**3 + 0*p - c*p**2 - k*p**4.
-2*p**2*(p - 1)*(4*p - 1)/3
Let x(n) = n**2 - 5*n - 6. Suppose 2*b - 2*w - 20 = 0, 0*b - 3*w = b + 6. Let s be x(b). Factor -4/7*c + 6/7*c**2 + s + 0*c**3 - 2/7*c**4.
-2*c*(c - 1)**2*(c + 2)/7
Let m(i) be the second derivative of 2*i + 0*i**3 - i**2 + 0 + 1/6*i**4. Determine k so that m(k) = 0.
-1, 1
Let n = 4/39 - -23/156. Let j(v) be the first derivative of -4 + 0*v - n*v**2 + 1/12*v**3. Suppose j(i) = 0. What is i?
0, 2
Let i(p) be the first derivative of 0*p**2 + 2 - 1/30*p**4 - 2/15*p**3 + 2*p. Let j(b) be the first derivative of i(b). Determine n, given that j(n) = 0.
-2, 0
Let b(r) be the third derivative of r**8/168 + 4*r**7/105 + r**6/12 + r**5/15 + 7*r**2. Let b(m) = 0. What is m?
-2, -1, 0
Let i be (9/(-6))/(15/(-6)). Determine q so that i*q + 1/5*q**2 + 2/5 = 0.
-2, -1
Let d = -1423/4 - -383. Let u = d + -27. Let -u*s**2 - 1/4*s + 0 = 0. Calculate s.
-1, 0
Let g(o) = -o**2 - 9*o - 8. Let t(c) = 9*c + 9. Let x(b) = -3*g(b) - 2*t(b). Factor x(f).
3*(f + 1)*(f + 2)
Suppose -2*n = -3*n. Suppose -o - 5*l - 18 = -n*l, 2*o + 16 = -5*l. Factor -2/3 + 2/3*p**3 + 2*p - 2*p**o.
2*(p - 1)**3/3
Let d(c) = -3*c - 2. Let v be d(-4). Let o = v + -19/2. Let 0 - 31/4*b**4 + 3/4*b**2 - 15/4*b**3 - 15/4*b**5 + o*b = 0. What is b?
-1, -2/5, 0, 1/3
Let l be 2/(-28)*-358 + 1. Let j be 4 - (5 + -19)*(-12)/98. Solve -150/7*x**5 + 4*x**2 + j - 72/7*x + l*x**3 - 80/7*x**4 = 0.
-1, 2/5, 2/3
Let q = -2/37 + 80/111. Find l such that 0 - l**2 - 1/3*l**3 - q*l = 0.
-2, -1, 0
Let -12/5*t + 3/5*t**3 - 9/5*t**2 + 0 = 0. Calculate t.
-1, 0, 4
Let n = -2 + -4. Let v = n + 8. Factor 2 + g**v - 4 - 2*g + 3.
(g - 1)**2
Let 5*j**5 - 15*j**5 - 4*j**2 + 0*j + 4*j + 18*j**2 + 6*j**3 - 14*j**4 = 0. Calculate j.
-1, -2/5, 0, 1
Let c be 22/(-55) + (-17)/(-30). Let s(f) be the third derivative of 0*f - 2*f**2 + c*f**3 - 1/30*f**6 - 1/6*f**4 + 1/10*f**5 + 0 + 1/210*f**7. Factor s(r).
(r - 1)**4
Let o be 0/((-2)/(-2)*2). Suppose 0 = v - 0*v - 3*x - 2, -2*v + 4*x + 4 = o. Factor 0*j**2 + 4*j**2 + 7*j**4 - 2*j**3 - 4*j**5 - 5*j**v.
-j**2*(j - 1)**2*(4*j + 1)
Let k(m) be the first derivative of -2*m**5/35 - m**4/7 + 5. Let k(l) = 0. What is l?
-2, 0
Let v(h) = -h**3 + 3*h + 2. Let o be v(-2). Factor -3*k**4 - k**4 - 2*k**4 + 5*k**o + k**2.
-k**2*(k - 1)*(k + 1)
Let u(n) = -n**3 + 8*n**2 - 6*n - 2. Let b be u(5). Let a = b - 214/5. Find m, given that -1/5*m**3 - 3/5*m**2 - a - 3/5*m = 0.
-1
Let n(z) be the second derivative of -z**4/24 - z**3/6 + 6*z. Factor n(m).
-m*(m + 2)/2
Let l be ((-4)/(-6))/((-2)/(-9)). Factor 3*f**3 - 2*f + 8*f**2 + 0*f - 13*f**l + 3*f**4 + f**4.
2*f*(f - 1)**2*(2*f - 1)
Let y(j) be the third derivative of -j**5/30 - 5*j**4/24 + 5*j**3/6 - 3*j**2. Let a(m) = m**2 + 2*m - 2. Let v(p) = -5*a(p) - 2*y(p). Factor v(q).
-q**2
Let s be (-9)/(-6)*4/3. Let 0*n**s - 2*n**3 - 3*n**2 + 5*n**2 = 0. What is n?
0, 1
Let b(p) = p**3 - p**2 + 5. Let l be b(0). Let o be -3 - -2 - (-5 - -1). Suppose 5*h - 2*h + 7*h**2 + l*h**2 + 18*h**3 + 12*h**4 + o*h**5 = 0. Calculate h.
-1, 0
Let d(r) = r**3 + 11*r**2 + 3. Let h = -9 + -2. Let g be d(h). Suppose 0*q**2 - 2/5*q**g + 0 + 2/5*q = 0. Calculate q.
-1, 0, 1
Let r = -11 - -14. Let -5*m**2 + 5*m**2 + 2*m**4 - 4*m**2 - 2*m**3 + 4*m**r = 0. What is m?
-2, 0, 1
Let x(l) be the first derivative of -l**4 - 8/3*l**3 + 0*l**2 + 0*l + 2. Factor x(h).
-4*h**2*(h + 2)
Let z be ((-3)/(-4))/((-99)/(-88)). Let b(f) be the first derivative of 2/3*f**2 + 2 + z*f**3 - 2/3*f. Determine i so that b(i) = 0.
-1, 1/3
Let l(t) = 3*t**4 - 6*t**3 + 3*t**2 + 2. Let q(p) = -3*p**4 + 6*p**3 - 3*p**2 - 3. Let s = -17 - -15. Let z(i) = s*q(i) - 3*l(i). Factor z(u).
-3*u**2*(u - 1)**2
Let i be 1 + 3/450*-149. Let l(n) be the third derivative of 0*n + 1/600*n**6 + 0 + 1/120*n**4 - 3*n**2 + 0*n**3 + i*n**5. Solve l(b) = 0 for b.
-1, 0
Let v(a) = 2*a**4 + 9*a**3 - 13*a**2 + 5*a - 3. Let o(m) = -m**4 - 4*m**3 + 6*m**2 - 2*m + 1. Let u(f) = -7*o(f) - 3*v(f). Factor u(l).
(l - 1)**2*(l + 1)*(l + 2)
Factor 6/5*a**3 + 0 + 3/5*a**2 + 3/5*a**4 + 0*a.
3*a**2*(a + 1)**2/5
Let h(g) = 0*g**3 + 4*g**2 + 0*g**2 - 32*g - 2 - 3*g**3. Let p(w) = w**3 - w**2 + 11*w + 1. Let c(m) = 4*h(m) + 11*p(m). Factor c(k).
-(k - 3)*(k - 1)**2
Let h be (-3)/5 + 90/25. Suppose 0 = -3*r - 12, r = -4*i + h*i - 2. Factor -1/2*y**i + 0 + 1/2*y.
-y*(y - 1)/2
Let p(l) = -5*l**3 - 3*l**2 + 21*l - 7. Let d(r) = -16*r**3 - 10*r**2 + 62*r - 20. Let s(v) = -3*d(v) + 8*p(v). Determine k, given that s(k) = 0.
-2, 1/4, 1
Let i(h) be the third derivative of 0*h + 0*h**3 + 0*h**4 - 1/30*h**5 + 0 + 1/30*h**6 + 2*h**2. Factor i(g).
2*g**2*(2*g - 1)
Let c(y) be the second derivative of 3*y**6/20 - 3*y**5/40 - 3*y**4/8 + y**3/4 - 3*y. Determine z, given that c(z) = 0.
-1, 0, 1/3, 1
Let n(b) = -20*b**4 - 42*b**3 + 14*b**2 - 6*b + 6. Let r(a) = -40*a**4 - 85*a**3 + 29*a**2 - 13*a + 13. Let x(o) = 13*n(o) - 6*r(o). Let x(z) = 0. What is z?
-2, 0, 1/5
Let n(y) be the first derivative of -y**9/6048 - y**8/3360 - y**3 - 2. Let p(h) be the third derivative of n(h). Factor p(g).
-g**4*(g + 1)/2
Let q(y) be the second derivative of 1/3*y**3 - 8*y + 1/10*y**5 + 0 + 0*y**2 + 1/3*y**4. Factor q(d).
2*d*(d + 1)**2
Let v(x) be the third derivative of -x**6/40 - 9*x**5/10 - 27*x**4/2 - 108*x**3 + 28*x**2. Factor v(c).
-3*(c + 6)**3
Let m(b) be the third derivative of b**8/50400 + b**7/12600 + b**5/20 + 3*b**2. Let p(d) be the third derivative of m(d). Solve p(x) = 0.
-1, 0
Let q = -15 - -16. Let c(a) be the first derivative of 0*a + 2/3*a**2 - q + 2/9*a**3. Factor c(m).
2*m*(m + 2)/3
Let p = 629/3 - 209. Factor 0 - 2/3*t**2 - p*t.
-2*t*(t + 1)/3
Let y(c) be the first derivative of 3*c**4/4 + c**3 + 8. Let y(u) = 0. Calculate u.
-1, 0
Let i = -370 - -374. Let -9/5*d**i + 6/5*d**3 + 8/5*d**2 - 6/5*d + 1/5 = 0. Calculate d.
-1, 1/3, 1
Let o(j) be the first derivative of -2 + 1/90*j**6 + j**3 + 0*j + 0*j**4 - 1/420*j**7 + 0*j**5 + 0*j**2. Let x(l) be the third deriv