*4 + 104*d**3/3 + 26*d**2 + 8*d - 4. Factor x(c).
4*(c + 1)*(3*c + 1)*(5*c + 2)
Let a(w) = w**3 - 25*w**2 - 170*w - 146. Let o(b) = 5*b**3 - 100*b**2 - 681*b - 585. Let c(v) = -18*a(v) + 4*o(v). Factor c(s).
2*(s + 1)*(s + 12)**2
Let v = -56 - -26. Let n be v/(-12) + -1*1. Factor 0 - 1/2*g - n*g**2 - g**3.
-g*(g + 1)*(2*g + 1)/2
Suppose 0 - 1/3*m**3 - 1/3*m - 2/3*m**2 = 0. What is m?
-1, 0
Let x be 1 + 4 + (-79)/16. Let z(u) be the third derivative of 0*u**3 + 1/40*u**5 + 0 + x*u**4 + 0*u + u**2. Let z(r) = 0. What is r?
-1, 0
Let g(d) be the first derivative of -d**7/840 + d**6/360 + d**5/120 - d**4/24 + 2*d**3/3 + 1. Let t(w) be the third derivative of g(w). Solve t(q) = 0.
-1, 1
Let j = 14 - 20. Let d(y) = y**4 - y**3 + 3*y**2 - y. Let b(w) = -3*w**4 + 2*w**3 - 7*w**2 + 3*w. Let n(i) = j*b(i) - 15*d(i). Factor n(k).
3*k*(k - 1)*(k + 1)**2
Factor 0 + 0*k + 1/2*k**3 + 1/4*k**4 - 1/4*k**5 + 0*k**2.
-k**3*(k - 2)*(k + 1)/4
Let i = -54 - -56. Solve -4/5 - 2/5*o + 2/5*o**i = 0.
-1, 2
Let z(d) = -2*d**5 - 13*d**4 - 65*d**3 - 92*d**2 - 71*d - 18. Let r(i) = -i**5 - 6*i**4 - 33*i**3 - 46*i**2 - 36*i - 9. Let p(j) = 5*r(j) - 3*z(j). Factor p(y).
(y + 1)**3*(y + 3)**2
Let p(v) = v - 7. Let t be p(9). Suppose n - 7 = -4*u, 4*u - 4*n = -t*n + 10. Solve 0*w - 2/9*w**u + 0 - 2/9*w**3 = 0 for w.
-1, 0
Let d(x) = 2*x**4 - 3*x**3 - 5*x**2 - 3*x + 3. Let b(l) = -4*l**4 + 7*l**3 + 11*l**2 + 7*l - 7. Let w(k) = 6*b(k) + 14*d(k). Let w(h) = 0. What is h?
-1, 0, 1
Let v(c) be the first derivative of -4*c**3/3 - 4*c**2 - 4*c - 16. Solve v(m) = 0 for m.
-1
Let q(i) be the second derivative of 0*i**5 + 1/3*i**3 - 1/1080*i**6 + 0 + 0*i**2 - i + 0*i**4. Let a(g) be the second derivative of q(g). Factor a(k).
-k**2/3
Let i(n) = n**3 - n - 1. Let h(v) = 8*v**3 + 12*v**2 + 10*v + 1. Let k(x) = -h(x) + 5*i(x). Factor k(f).
-3*(f + 1)**2*(f + 2)
Let t(s) be the first derivative of -s**6/540 + s**5/90 - s**3 - 1. Let u(j) be the third derivative of t(j). Factor u(l).
-2*l*(l - 2)/3
Let k be (-2)/8*3*(-4)/9. Determine h, given that 0 - k*h**3 - 1/3*h**2 + 1/3*h**4 + 1/3*h = 0.
-1, 0, 1
Let t = 4 + -2. Find b, given that 3*b**4 + 12*b - b**2 - 9*b - 3*b**3 - 2*b**t = 0.
-1, 0, 1
Let v(d) be the first derivative of -d**7/1680 + d**5/240 - d**3/3 + 4. Let b(w) be the third derivative of v(w). Let b(h) = 0. Calculate h.
-1, 0, 1
Let d(w) be the third derivative of w**5/180 - w**4/12 + w**3/2 + 24*w**2. Factor d(q).
(q - 3)**2/3
Let r = -3/95 + 401/665. Factor 18/7*o**2 + 10/7*o**3 + r + 2*o + 2/7*o**4.
2*(o + 1)**3*(o + 2)/7
Let x be 7/(-2) - (-2)/(-4). Let p be (-26)/(-10) - x/10. Factor 5*s**2 - 2*s**5 - 2*s**4 + 3*s**2 - 6*s**2 + 2*s**p.
-2*s**2*(s - 1)*(s + 1)**2
Let t(l) be the third derivative of -l**8/10080 - l**4/4 - 7*l**2. Let i(a) be the second derivative of t(a). Factor i(o).
-2*o**3/3
Suppose -3*r + 90 = -0*r. Let c be (2/(-21))/((-2)/r). Solve 4/7*m + c*m**2 + 0 - 12/7*m**3 - 18/7*m**4 = 0.
-1, -1/3, 0, 2/3
Let g(l) be the second derivative of 2*l**6/5 + l**5/5 - l**4 - 2*l**3/3 + 23*l. Factor g(b).
4*b*(b - 1)*(b + 1)*(3*b + 1)
Let w(p) = -p**3 + 6*p**2 - p + 10. Let x be w(6). Let k(i) be the second derivative of 2*i + 0*i**2 - 1/3*i**3 + 0 + 1/6*i**x. Factor k(u).
2*u*(u - 1)
Let r = 19/4 + -17/4. Let r + 1/2*t**2 + t = 0. Calculate t.
-1
Let o(h) be the second derivative of -h**8/1120 - 3*h**7/280 - 3*h**6/80 - 2*h**3/3 + 4*h. Let m(l) be the second derivative of o(l). Factor m(j).
-3*j**2*(j + 3)**2/2
Let m = 1/45 + -971/1170. Let f = -4/13 - m. Solve -1/2*i**3 + 1/2*i**2 - 1/2*i**4 + 0 + f*i**5 + 0*i = 0.
-1, 0, 1
Let d(v) be the second derivative of -v**5/60 - v**4/9 - 5*v**3/18 - v**2/3 - 11*v. Let d(o) = 0. Calculate o.
-2, -1
Let p be (11/(-2) - -6)*20/2. Let x(v) be the first derivative of 1 - 8/3*v**6 - 24/5*v**p + 0*v - 2/3*v**3 + 0*v**2 - 3*v**4. Find d such that x(d) = 0.
-1/2, 0
Let z(u) be the third derivative of u**7/840 - u**5/40 + u**4/8 - 5*u**2. Let s(y) be the second derivative of z(y). Let s(w) = 0. What is w?
-1, 1
Let 2*b**4 + 224*b**2 + b**4 - 221*b**2 - 6*b**3 = 0. Calculate b.
0, 1
Let y be (-4)/12 - 38/(-6). Suppose -y*i**2 - 2*i + 4 + 14*i + 15*i**2 + 0 = 0. What is i?
-2/3
Let w(k) be the third derivative of 1/210*k**7 + 0 + 1/24*k**4 - k**2 + 0*k**3 + 0*k - 1/120*k**6 - 1/60*k**5. Factor w(j).
j*(j - 1)**2*(j + 1)
Let d(u) be the third derivative of 0 + 0*u**3 - 1/210*u**7 + 1/6*u**4 - 2/15*u**5 + 1/24*u**6 - 3*u**2 + 0*u. Factor d(z).
-z*(z - 2)**2*(z - 1)
Let l be (-2)/5 + (4655/50)/19. Factor 1/2*r**2 + l - 3*r.
(r - 3)**2/2
Let m(s) = -35*s**3 + 115*s**2 + 110*s - 47. Let d(x) = -35*x**3 + 115*x**2 + 110*x - 46. Let j(l) = 7*d(l) - 6*m(l). Find c, given that j(c) = 0.
-1, 2/7, 4
Let x = -31/2 + 16. Determine z so that -z - x*z**2 - 1/2 = 0.
-1
Let -3*r + 4/3 - 1/3*r**3 + 2*r**2 = 0. What is r?
1, 4
Let j(y) be the first derivative of -5*y**6/6 + 5*y**4/2 - 5*y**2/2 + 19. Suppose j(r) = 0. Calculate r.
-1, 0, 1
Let r(g) be the first derivative of -2/3*g**3 - 3 - 1/2*g**4 + g**2 + 2*g. Factor r(u).
-2*(u - 1)*(u + 1)**2
Suppose 0 = 2*y + y - 15. Factor 9*g**3 - 2*g**2 + 3*g**y - 2*g**4 - 7*g**4 - g**2.
3*g**2*(g - 1)**3
Let k(p) be the first derivative of p**6/540 - p**5/180 - p**3 - 1. Let j(z) be the third derivative of k(z). Factor j(x).
2*x*(x - 1)/3
Let x(g) = 6*g - 1. Let t be x(1). Let z(d) = d**3 - 6*d**2 + 5*d + 7. Let b be z(t). Factor -r**2 + 7 - r - b.
-r*(r + 1)
Let g(q) = -q**4 - q**3 + q + 1. Let o(h) = -h**4 + 3*h**3 + 2*h**2 - 2*h - 2. Let k(w) = -4*g(w) - 2*o(w). Factor k(i).
2*i**2*(i - 1)*(3*i + 2)
Let o(u) be the first derivative of -u**4/12 - 4*u**3/9 - 5*u**2/6 - 2*u/3 + 1. Factor o(v).
-(v + 1)**2*(v + 2)/3
Suppose 3*v - 31 = -c, 3*v = -2*v - 2*c + 52. Let y be v/6 + 1 + -2. Find d such that -y*d + 2/3*d**2 + 0 = 0.
0, 1
Let a(q) be the second derivative of -q**5/20 + 3*q**4/8 - q**3 - 3*q**2/2 + q. Let o(j) be the first derivative of a(j). Determine y so that o(y) = 0.
1, 2
Let v(r) be the first derivative of r**4/12 + r**3/3 + r**2/2 + 5*r - 6. Let j(g) be the first derivative of v(g). Factor j(k).
(k + 1)**2
Factor -5*k**3 - 6*k**2 - 4*k**2 - 5*k + k**2 - k**2.
-5*k*(k + 1)**2
Let m = -2 - -7. Let -m*k**2 + 3*k - 2*k**3 + 3*k**3 - k**4 - 4*k**3 + 4*k**2 + 2 = 0. What is k?
-2, -1, 1
Let d(i) be the third derivative of i**10/196560 - i**9/49140 - 5*i**4/24 - i**2. Let h(b) be the second derivative of d(b). Determine g, given that h(g) = 0.
0, 2
Solve 2/5*s**4 - 2/5*s**5 - 2/5*s**2 + 2/5*s**3 + 0*s + 0 = 0.
-1, 0, 1
Let f(d) be the first derivative of d**7/420 - d**6/90 - d**5/60 + d**4/6 + 4*d**3/3 + 1. Let b(z) be the third derivative of f(z). Factor b(x).
2*(x - 2)*(x - 1)*(x + 1)
Let p(m) = 16*m**2 + 5*m - 4. Let t(l) = -33*l**2 - 9*l + 9. Let y(d) = -9*p(d) - 4*t(d). Factor y(k).
-3*k*(4*k + 3)
Let f(z) be the third derivative of 1/60*z**6 + 0*z**3 + 0 + 1/24*z**4 + 0*z - 4/105*z**7 + 1/12*z**5 + 4*z**2. Factor f(t).
-t*(t - 1)*(2*t + 1)*(4*t + 1)
Let n(s) be the first derivative of -s**4/16 - s**3/12 + s**2/8 + s/4 + 6. Factor n(u).
-(u - 1)*(u + 1)**2/4
Let n = 8 - -1. Suppose 3*x = n*x. Factor 1/4*o + 0*o**2 - 1/2*o**3 + 0*o**4 + 1/4*o**5 + x.
o*(o - 1)**2*(o + 1)**2/4
Suppose 3 = 2*m - m. Let d(z) be the first derivative of 0*z**4 + 2/15*z**5 + m + 2/3*z - 4/9*z**3 + 0*z**2. Suppose d(c) = 0. Calculate c.
-1, 1
Let a(q) = 8*q**2 - 8*q - 4. Let w(x) = 7*x**2 - 7*x - 3. Let i(b) = -3*a(b) + 4*w(b). Factor i(m).
4*m*(m - 1)
Suppose 9 = 10*g - 11. Factor 0 + 3/2*l**2 + g*l**3 - 1/2*l.
l*(l + 1)*(4*l - 1)/2
Factor 0 + 0*q + 2/5*q**2.
2*q**2/5
Suppose 0 = 3*q - p + 5, q - 20 = -3*q - 4*p. Factor 1/5*d**2 + 0 + q*d - 1/5*d**3.
-d**2*(d - 1)/5
Let g(r) be the first derivative of 3*r**5/2 - 27*r**4/8 + 3*r**3/2 + 3*r**2/4 + 6. Find h such that g(h) = 0.
-1/5, 0, 1
Suppose k - 32 = -3*k. Let m be (-6)/9 + k/3. Factor -5/2*n**3 + 5/2*n - 1 + 3/2*n**4 - 1/2*n**m.
(n - 1)**2*(n + 1)*(3*n - 2)/2
Let z be 0/(4/(-3)*6/4). Let m(g) be the first derivative of -2/5*g**5 + 0*g + 1/2*g**4 + 1 + z*g**3 + 0*g**2. What is n in m(n) = 0?
0, 1
Let n(y) be the second derivative of -2*y - 1/20*y**5 - 1/4*y**4 + y**2 + 1/6*y**3 + 0 + 1/30*y**6. Solve n(j) = 0 for j.
-1, 1, 2
Let x(u) be the third derivative of -u**6/780 