2 - 6*b**2 + 9 - j*b.
-3*(b + 1)*(3*b - 2)
Let g(v) be the third derivative of -v**5/90 + v**4/27 + 4*v**3/27 + 5*v**2. Factor g(r).
-2*(r - 2)*(3*r + 2)/9
Let r(o) be the first derivative of 0*o**4 + 0*o**3 + 0*o**2 + 0*o + 0*o**5 + 1 - 1/14*o**6. Factor r(z).
-3*z**5/7
Let y(i) = -2*i**2 - 4. Let d(f) = 5*f**2 + 6. Let a(u) = -1 + 5 - 3 + 0. Let b(l) = -3*a(l) - d(l). Let j(v) = -6*b(v) + 14*y(v). Factor j(w).
2*(w - 1)*(w + 1)
Factor -130*h + 23*h**2 + 2 + 22*h**2 - 10*h**2 - 42.
5*(h - 4)*(7*h + 2)
Factor 0 + 8/7*i**2 - 44/7*i**3 - 4*i**5 + 0*i + 64/7*i**4.
-4*i**2*(i - 1)**2*(7*i - 2)/7
Let c be 5 - 14/(49/7). Solve 2/5*n + 0*n**2 + 0*n**4 + 2/5*n**5 - 4/5*n**c + 0 = 0.
-1, 0, 1
Factor 20*j + 72*j**3 - 57*j**3 + 70*j**3 + 25*j**4 + 80*j**2.
5*j*(j + 1)*(j + 2)*(5*j + 2)
Let q(v) be the second derivative of v**8/840 + v**7/105 + v**6/36 + v**5/30 + v**3/6 + 3*v. Let c(a) be the second derivative of q(a). Factor c(w).
2*w*(w + 1)**2*(w + 2)
Let q(j) be the first derivative of 0*j**4 - 1 + 0*j + 0*j**2 - 1/15*j**5 + 0*j**3. Factor q(f).
-f**4/3
Determine j so that 3/4*j**4 - 1/8 + 3/8*j**2 + 3/8*j - 11/8*j**3 = 0.
-1/2, 1/3, 1
Let m = 139/12 + -41/4. Factor 0*a - 2/3*a**4 - 2/3*a**2 - m*a**3 + 0.
-2*a**2*(a + 1)**2/3
Suppose 18/7*f**4 + 16*f**2 + 32/7 - 64/7*f**3 - 96/7*f - 2/7*f**5 = 0. What is f?
1, 2
Let f(m) be the third derivative of -27*m**8/56 - 6*m**7/5 - 13*m**6/60 + 14*m**5/15 - m**4/3 + 10*m**2. Factor f(w).
-2*w*(w + 1)**2*(9*w - 2)**2
Let w(n) be the first derivative of n**6/120 - 3*n**5/40 + n**4/4 + n**3 + 1. Let l(g) be the third derivative of w(g). Factor l(t).
3*(t - 2)*(t - 1)
Suppose -3*j = 2*f - 14, 12 = -0*f + 3*f. Let 2 + y - 4 - 4*y + 7*y**2 - j*y = 0. What is y?
-2/7, 1
Let v(u) be the second derivative of u**6/1260 + u**5/210 + u**4/84 - u**3/3 - 4*u. Let k(w) be the second derivative of v(w). Suppose k(i) = 0. What is i?
-1
Let h(n) be the first derivative of -6*n**5/5 - 5*n**4/4 + 31*n**3/3 - 23*n**2/2 + 3*n - 48. Determine j so that h(j) = 0.
-3, 1/6, 1
Let x(l) be the third derivative of -l**7/105 - l**6/30 - l**5/30 + 3*l**2. Solve x(i) = 0 for i.
-1, 0
Factor 2/7*b**4 + 2/7*b + 6/7*b**3 + 6/7*b**2 + 0.
2*b*(b + 1)**3/7
Let q be 1*(-4)/((-16)/36). Let g = 11 - q. Suppose 8/5 + 22/5*w**g - 24/5*w - 6/5*w**3 = 0. Calculate w.
2/3, 1, 2
Let s(n) = -n + 2. Let k be s(-2). Solve 2 - 3*u**2 + u**2 - k*u - 2 - 2 = 0 for u.
-1
Let k = -4 + -5. Let s(o) = o + 11. Let g be s(k). Factor 1/3 + 0*x - 1/3*x**g.
-(x - 1)*(x + 1)/3
Let z(m) be the second derivative of m**7/2100 - m**5/300 - m**3/2 - m. Let c(l) be the second derivative of z(l). Solve c(w) = 0.
-1, 0, 1
Let v(t) = -t + 1. Let n be v(-4). Factor -3*x**3 + 2*x**3 + x**5 + 0*x**n.
x**3*(x - 1)*(x + 1)
Let i(p) be the first derivative of -p**7/1120 - p**6/720 + p**5/160 + p**4/48 + p**3/3 - 1. Let m(z) be the third derivative of i(z). Factor m(t).
-(t - 1)*(t + 1)*(3*t + 2)/4
Let o(n) be the first derivative of -2*n**5/15 - n**4/3 - 6. Suppose o(l) = 0. Calculate l.
-2, 0
Let r be (3/(-6) - 0)*20. Let v be (-2)/4 + (-9)/r. Determine a, given that -2/5*a**4 - v*a + 0 + 2/5*a**2 + 2/5*a**3 = 0.
-1, 0, 1
Solve -3/4*b**2 + 0 + b**3 - 1/4*b**4 + 0*b = 0.
0, 1, 3
Let x(h) be the first derivative of 9 + 1/12*h**3 + 9/4*h - 3/4*h**2. Factor x(s).
(s - 3)**2/4
Let m be ((-12)/8 + 2)*(-7 - -13). Determine s so that 9/5*s + 6/5 + 0*s**2 - 3/5*s**m = 0.
-1, 2
Let d = -1339/5 - -268. Let b be (-6)/10*(-4)/3. Let -d*w**2 - b + 4/5*w = 0. Calculate w.
2
Let q(w) be the second derivative of 3*w + 0 + 4/21*w**7 - 17/12*w**3 + 1/40*w**5 + 19/12*w**4 + 1/2*w**2 - 2/3*w**6. What is l in q(l) = 0?
-1, 1/4, 1, 2
Let g be ((-10)/7)/((-112)/98). Solve 2*k + g*k**4 - 1/4*k**5 - 7/4*k**3 - 1/4*k**2 - 1 = 0 for k.
-1, 1, 2
Let k(t) be the second derivative of -t**4/3 + 4*t**3 - 10*t**2 - 15*t. Factor k(f).
-4*(f - 5)*(f - 1)
Let d(l) = 15*l**4 + 15*l**3 + 18*l**2 - 9*l - 9. Let i(g) = 7*g**4 + 8*g**3 + 9*g**2 - 4*g - 4. Let w(h) = -4*d(h) + 9*i(h). Find r such that w(r) = 0.
-3, -1, 0
Let p(s) = -s + 5. Let t(f) = -f**3 - 10*f**2 - 8*f + 12. Let o be t(-9). Let z be p(o). Let -z*m**3 + m**3 - 5*m + 6*m = 0. What is m?
-1, 0, 1
Let o(v) be the first derivative of -14*v**5/5 - 5*v**4/2 + 6*v**3 + 5*v**2 - 4*v - 6. Suppose o(f) = 0. Calculate f.
-1, 2/7, 1
Let o(k) be the second derivative of 1/15*k**3 + 0 - 1/10*k**2 - 1/60*k**4 + 10*k. Find s, given that o(s) = 0.
1
Let z(p) be the third derivative of -p**7/1785 + p**5/170 + p**4/102 - 18*p**2. Factor z(j).
-2*j*(j - 2)*(j + 1)**2/17
Let x(z) be the first derivative of 4*z**5/5 - z**4 - 19. Let x(f) = 0. What is f?
0, 1
Let i be (-80)/96 + (-29)/(-6) + 0. Determine z so that -2/5*z**3 - 2/5*z**i + 0*z + 0*z**2 + 0 = 0.
-1, 0
Let b(o) be the first derivative of 4*o - 8 - 2*o**2 + 1/3*o**3. Solve b(d) = 0 for d.
2
Suppose 0 = 30*y + 11 - 131. Factor 0*c + 2*c**y + 4/3*c**3 + 0*c**2 + 0 - 10/3*c**5.
-2*c**3*(c - 1)*(5*c + 2)/3
Let s(z) = -2*z + 5 + 4*z - 4*z + 3*z**2. Let j(b) = -b. Let v(i) = -4*i**2 + 4*i - 7. Let n(k) = j(k) + v(k). Let g(m) = -5*n(m) - 7*s(m). Factor g(d).
-d*(d + 1)
Let n(b) = 3*b**3 + 3*b**2 - 8*b + 2. Let j(z) = -2*z**3 - 2*z**2 + 7*z - 3. Let s(y) = -2*j(y) - 3*n(y). Suppose s(u) = 0. Calculate u.
-2, 0, 1
Suppose 2*y + 4*x = 3*x, -3*x = 4*y. Let k(d) be the second derivative of -1/42*d**4 + y*d**3 - d + 0 + 1/7*d**2. Determine t, given that k(t) = 0.
-1, 1
Suppose 2*s = -s + 9. Suppose 4*n + s*a - 20 = 0, a = -n - 0 + 6. Suppose -2/3*j**4 - 2*j**3 - 2/3*j + 0 - n*j**2 = 0. What is j?
-1, 0
Let u(x) be the first derivative of -2187*x**5/10 + 729*x**4/2 - 216*x**3 + 60*x**2 - 8*x + 2. Factor u(l).
-(3*l - 2)*(9*l - 2)**3/2
Let u = 107/7 - 15. Let o(v) be the first derivative of 0*v**2 - 1 - u*v + 2/21*v**3. What is d in o(d) = 0?
-1, 1
Suppose 0 = -3*x + 3*s + 21, 5*s = 5*x + s - 31. Suppose -4*q + 5*q = -2*v, 5*q = -v. Solve -2/5*y**5 - 4/5*y**4 + q - 2/5*y**x + 0*y + 0*y**2 = 0 for y.
-1, 0
Let l be (-9)/(-27) + 10/6. Factor 0*c**4 - 21*c - 3*c**4 - 6 + 0 - 15*c**3 - 27*c**l.
-3*(c + 1)**3*(c + 2)
Let r = 9 - 7. Let y be ((-2)/6)/(r/(-4)). Let 2/3*l + 0 + y*l**3 - 4/3*l**2 = 0. Calculate l.
0, 1
Let f(c) be the first derivative of -4*c**6/135 - c**5/10 - c**4/27 + c + 8. Let d(l) be the first derivative of f(l). Suppose d(i) = 0. What is i?
-2, -1/4, 0
Let w(p) be the second derivative of p**6/10 - 3*p**5/10 - 6*p. Find s such that w(s) = 0.
0, 2
Let r(z) = 5*z**2 - 5 + 3 + 1. Let o be r(1). Factor 2*u - 3*u**5 + o*u**4 - 2*u**2 - 2*u**2 + u**5.
-2*u*(u - 1)**3*(u + 1)
Let y be (-6)/(-18) + (-16)/(-6). Let f(a) be the third derivative of 0 + 0*a + 1/8*a**4 + 7/60*a**5 - 1/42*a**7 - a**2 - 1/40*a**6 - 1/3*a**y. Factor f(n).
-(n - 1)*(n + 1)**2*(5*n - 2)
Suppose -2*r = 3*r, 0 = 3*w - 4*r - 6. Find m, given that -4*m**2 + 2 + w*m**3 - 7*m**4 + 9*m**4 - 2*m**3 = 0.
-1, 1
Let y = -1538 + 4777/3. Let l = y + -155/3. Find a, given that -l*a**3 - 8/3*a + 4*a**2 + 2/3*a**4 + 2/3 = 0.
1
Factor 9*f - 205*f**4 - 3*f**2 + 0*f + 208*f**4 - 9*f**3.
3*f*(f - 3)*(f - 1)*(f + 1)
Suppose -8*x + 3*x + 150 = 0. Let k be ((-45)/x)/(15/(-4)). Factor -6/5*y**3 + 6/5*y + 2/5 - k*y**2.
-2*(y - 1)*(y + 1)*(3*y + 1)/5
Suppose 12*y - 12 = 10*y. Let v(t) be the first derivative of -1/4*t**2 - 3/4*t**4 - 1/12*t**y + 2/3*t**3 - 2 + 2/5*t**5 + 0*t. Factor v(g).
-g*(g - 1)**4/2
Suppose 2/13*z**3 + 0 - 2/13*z + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let p(b) be the first derivative of -10*b**6/3 + 28*b**5/5 + 3*b**4 - 28*b**3/3 + 4*b**2 - 5. Solve p(z) = 0 for z.
-1, 0, 2/5, 1
Let b(r) = -r**3 + 3*r**3 - 10*r + 0*r**3 + 6 + 2*r. Let p(c) = -c + 1. Let t(k) = b(k) - 6*p(k). Let t(v) = 0. What is v?
-1, 0, 1
Let i(z) be the third derivative of -z**7/315 + z**6/120 - z**4/72 - z**2 + 10. Let i(t) = 0. What is t?
-1/2, 0, 1
Let w(k) be the second derivative of -k**4/48 + k**3/6 - k**2/2 + 7*k. Factor w(h).
-(h - 2)**2/4
Let t = -14 - -71/5. Let y = 1/20 + t. Factor -y*b**3 + 0*b**2 - 1/2 + 3/4*b.
-(b - 1)**2*(b + 2)/4
Let q(w) = 3*w**4 - 3*w**3 + 7*w**2 - w + 2. Let r(x) = 2*x**4 - 2*x**3 + 6*x**2 - x + 1. Let t(v) = 3*q(v) - 4*r(v). Find a, given that t(a) = 0.
-1, 1, 2
Let k be (-108)/(-99)*2/(-4). Let l = k - -40/33. Factor 0*d + 0 + 2/3*d**4 + 2/9*d**2 +