the third derivative of d**7/70 + d**6/20 + d**5/20 - 9*d**2. Factor y(h).
3*h**2*(h + 1)**2
Let z = -50 - -54. Factor 0*r**3 + 6/7*r**2 - 2/7*r**z + 4/7*r + 0.
-2*r*(r - 2)*(r + 1)**2/7
Suppose 68 = 5*b - 67. Factor 2*o**4 - b*o**3 + 30*o**3 + o**2 + o**4 + o**5.
o**2*(o + 1)**3
Let h(m) be the third derivative of -m**5/270 + m**4/108 - 12*m**2. Factor h(q).
-2*q*(q - 1)/9
Suppose -3*p + 4*p = 20. Suppose 4*k - p = -5*q, 4*q - 6 + 1 = -k. Solve 4/3*s**3 - 2/3*s**4 - 20/3*s**5 + 0 + 0*s + q*s**2 = 0 for s.
-1/2, 0, 2/5
Suppose -4*l + 0*l - 6 = -2*u, -15 = -3*u. Suppose l = -c + 6. Factor -4/3*m**c + 0 + 0*m - 2/3*m**2 + 0*m**3 + 2*m**4.
-2*m**2*(m - 1)**2*(2*m + 1)/3
Suppose -4*v + 3*d - 30 = -129, d = 2*v - 49. Suppose 2*l + 2*l = v. Factor 7*c**4 + 8*c**4 - 4*c**4 - c**4 + l*c**5 - 2*c**2 + 2*c**3.
2*c**2*(c + 1)**2*(3*c - 1)
Let f be 12/(-5)*100/(-15). Let v be 92/f - 3/4. Factor -3*o**v + 2*o**2 - 3*o**3 + 4*o**5 + 4*o**4 + 8*o**3.
o**2*(o + 1)**2*(o + 2)
Suppose -2*w + 14 = 5*w. Let z(o) be the second derivative of -1/75*o**6 - 1/5*o**w + 0*o**3 + 0 + 3*o + 0*o**5 + 1/15*o**4. Factor z(x).
-2*(x - 1)**2*(x + 1)**2/5
Let i(c) = c**3 - 13*c**2 + 11*c + 16. Let v be i(12). Let p be (-8)/(-14)*14/v. Factor -2/5*u**3 + 2/5*u**p - 2/5 + 2/5*u.
-2*(u - 1)**2*(u + 1)/5
Let m be 1/(-6) + (-296)/(-48). Let w = m - 4. Factor -2*z**w + 1/2*z**3 + 0 + 2*z.
z*(z - 2)**2/2
Let x(k) be the third derivative of 5*k**8/336 + 2*k**7/21 - k**6/12 - k**5 + 15*k**4/8 + 20*k**2. Factor x(g).
5*g*(g - 1)**2*(g + 3)**2
Let q(b) be the first derivative of -4*b**5/5 - 2*b**4 + 4. Find f, given that q(f) = 0.
-2, 0
Factor 0 + 1/2*z**2 - z**3 - 1/2*z**4 + z.
-z*(z - 1)*(z + 1)*(z + 2)/2
Let i(c) be the first derivative of 2*c**6/15 - c**5/4 - c**4/4 + 5*c**3/6 - c**2/2 - 4*c + 4. Let a(l) be the first derivative of i(l). Factor a(r).
(r - 1)**2*(r + 1)*(4*r - 1)
Let k(r) = -r**2 + 11*r + 12. Let i be k(12). Find t, given that -7/5*t**4 + 2/5*t + i - 11/5*t**2 + 16/5*t**3 = 0.
0, 2/7, 1
Let b(s) be the third derivative of s**6/20 + 7*s**5/20 + 3*s**4/8 - 4*s**2. Solve b(t) = 0.
-3, -1/2, 0
Let y(h) = -h**2 + 5*h + 6. Let u be y(5). Suppose 0 = 6*i - 9*i + u. Let 14/5*q**2 + i*q - 4/5 = 0. What is q?
-1, 2/7
Let a(u) = 9*u**4 + 51*u**3 + 54*u**2 + 21*u - 1. Let o(v) = -26*v**4 - 154*v**3 - 162*v**2 - 62*v + 4. Let i(z) = -16*a(z) - 5*o(z). Let i(q) = 0. What is q?
-1, -2/7
Suppose -32*y + 29*y = -9. Let 0 + 56/3*n**2 + 8/3*n + 18*n**5 + 46*n**y + 48*n**4 = 0. Calculate n.
-1, -2/3, -1/3, 0
Let r(i) be the third derivative of i**8/20160 + i**7/3780 + i**6/2160 - i**4/24 + i**2. Let u(g) be the second derivative of r(g). Factor u(d).
d*(d + 1)**2/3
Let i(z) be the second derivative of -1/18*z**3 - 1/36*z**4 + 0 - z + 1/6*z**2 + 1/60*z**5. Solve i(n) = 0.
-1, 1
Let g be (1/2)/(5/30). Find u such that 3/2*u**g + 1/2 - 3/2*u - 1/2*u**2 = 0.
-1, 1/3, 1
Let v(t) be the first derivative of 4*t**5/5 + 2*t**4/3 - 4*t**3/3 - 4*t**2/3 + 5. Let v(y) = 0. Calculate y.
-1, -2/3, 0, 1
Let c(d) = d**2 - 3*d + 2. Let v be c(0). Let s(r) be the first derivative of 2 + 0*r + 0*r**4 + 0*r**3 + 0*r**v - 1/5*r**5. Factor s(j).
-j**4
Let y(c) be the second derivative of 0*c**2 - 1/21*c**7 + 0*c**3 + 0 - 1/6*c**4 - 1/5*c**6 - c - 3/10*c**5. Factor y(d).
-2*d**2*(d + 1)**3
Let x = -315 + 28351/90. Let s(g) be the second derivative of 2/27*g**4 - 4/27*g**3 + 0*g**2 - x*g**5 - g + 0. Factor s(f).
-2*f*(f - 2)**2/9
Let g(n) be the second derivative of 7*n**4/3 - 6*n**3 + 4*n**2 + 22*n. Factor g(f).
4*(f - 1)*(7*f - 2)
Let g = 2827/532 + -13/76. Let u be 4/((-7)/(-1) - 0). Determine c, given that g*c**4 + 16/7*c**2 - u + 10/7*c**5 - 6/7*c + 44/7*c**3 = 0.
-1, 2/5
Let t(w) = w**5 + 2*w**4 - w**3 + 4*w**2 - 2*w - 2. Let d(f) = -6*f**5 - 13*f**4 + 5*f**3 - 25*f**2 + 13*f + 13. Let z(h) = -6*d(h) - 39*t(h). Factor z(j).
-3*j**2*(j - 1)**2*(j + 2)
Solve -151*t**2 + 443*t + 4*t**3 + 593*t + 15*t**2 + 120*t = 0.
0, 17
Factor d**2 - d - 48 + 26 + 20 + 2*d.
(d - 1)*(d + 2)
Let o(w) be the first derivative of w**4/24 - w**3/6 - w**2/12 + w/2 + 36. Suppose o(z) = 0. Calculate z.
-1, 1, 3
Let d(x) be the second derivative of 1/54*x**4 - 1/9*x**3 + 2/9*x**2 - x + 0. Factor d(y).
2*(y - 2)*(y - 1)/9
Let a(y) be the first derivative of y**7/147 + y**6/105 - y**5/35 - 4*y + 1. Let j(g) be the first derivative of a(g). Let j(n) = 0. What is n?
-2, 0, 1
Solve -8/7*v**3 + 44/7*v - 20/7*v**2 - 16/7 = 0 for v.
-4, 1/2, 1
Let c(y) be the third derivative of -y**5/12 + 5*y**3/6 + 24*y**2. Factor c(q).
-5*(q - 1)*(q + 1)
Let -8/5*r**3 + 8/5*r - 2/15*r**2 - 8/15 + 2/3*r**4 = 0. Calculate r.
-1, 2/5, 1, 2
Let c be 5 + (-5 + 6)*3*-1. Let z = -119/20 - -31/5. Factor 0 + z*i - 1/4*i**c.
-i*(i - 1)/4
Factor -6 - 8*x - 4*x**2 + 6.
-4*x*(x + 2)
Let y(b) = -b**3 + 9*b**2 - b + 12. Let j be y(9). What is w in 3*w - 5*w**4 + 0 + 8*w**4 + 3 + j*w**5 - 6*w**3 - 6*w**2 = 0?
-1, 1
Let y be 2 + 4/4 + 7. Suppose 0*c = -3*c - 2*j + y, 5*c = 4*j + 2. Factor 1/4*r**c - 1/2*r + 0.
r*(r - 2)/4
Let a(u) = u**2 - 2*u - 3. Let i be a(3). Let v be (1 - -2) + i - 3. Factor -2/5*f**4 - 4/5*f**3 - 2/5*f**2 + v + 0*f.
-2*f**2*(f + 1)**2/5
Let n(y) be the third derivative of y**11/1164240 - y**9/211680 - y**5/20 + 2*y**2. Let j(d) be the third derivative of n(d). Let j(m) = 0. What is m?
-1, 0, 1
Suppose -22 + 7 = -5*f. Factor n**2 - n + n + 2*n**3 + f*n**2.
2*n**2*(n + 2)
Let h be 0/(4 - (1 - -2)). Let h + 1/2*x**3 - 1/2*x**4 + 0*x**2 + 0*x = 0. What is x?
0, 1
Suppose 3*s + 5 = 14. Factor -26*j + 0*j**2 - 2*j**2 + 25*j - j**s.
-j*(j + 1)**2
Let q(w) = -29*w**3 + 114*w**2 + 30*w - 5. Let b(g) = -72*g**3 + 285*g**2 + 75*g - 12. Let r(s) = 5*b(s) - 12*q(s). Solve r(m) = 0.
-1/4, 0, 5
Let s(w) be the third derivative of 5*w**8/2016 + w**7/252 - 5*w**6/144 + w**5/24 - 20*w**2. Determine m, given that s(m) = 0.
-3, 0, 1
Let d = 643 - 17359/27. Let l(y) be the first derivative of -2/9*y - d*y**3 - 2/9*y**2 + 1. Factor l(b).
-2*(b + 1)**2/9
Let t(l) = -l**5 - 6*l**4 + 18*l**3 + 30*l**2 + 17*l. Let k(s) = -3*s**4 + 9*s**3 + 15*s**2 + 9*s. Let y = -16 + 11. Let z(p) = y*k(p) + 3*t(p). Factor z(q).
-3*q*(q - 2)*(q + 1)**3
Factor 20/7*i**3 + 4/7*i**4 + 36/7*i**2 + 4*i + 8/7.
4*(i + 1)**3*(i + 2)/7
Suppose -1 = -g, -g - 91 = -4*t + 4*g. Let i be (8/(-10))/(t/(-40)). Factor -i*h**2 - 2/3 + 2/3*h**5 - 2*h + 4/3*h**3 + 2*h**4.
2*(h - 1)*(h + 1)**4/3
Factor 2*z + 2*z**2 + 0*z**2 + 0 + 1 - z**2.
(z + 1)**2
Let w be -1 + 94/(-48) + 3. Let c(g) be the third derivative of 0 - 1/12*g**3 - w*g**4 + g**2 - 1/120*g**5 + 0*g. Factor c(t).
-(t + 1)**2/2
Let d be 112/32*(-4)/(-21). Let r(u) = -u**3 + 5*u**2 - u + 7. Let q be r(5). Solve -2/3*c**3 - 2/3*c**4 - 4/3 + d*c + q*c**2 = 0 for c.
-2, -1, 1
Let m = -45 + 134/3. Let u = 1/15 - m. Suppose -u*j**4 - 12/5*j**5 + 2/5 - 8/5*j + 4*j**3 + 0*j**2 = 0. Calculate j.
-1, 1/3, 1/2, 1
Let z(s) be the third derivative of s**4/24 + 11*s**3/6 + 7*s**2. Let j be z(-9). Factor 0*k + 0 + 2/9*k**j.
2*k**2/9
Let w(b) be the second derivative of b**4/96 + b**3/16 - b**2/4 - 42*b. Factor w(p).
(p - 1)*(p + 4)/8
Suppose -4/3*a**4 + 16*a**2 - 40/3*a - 44/3 + 40/3*a**3 = 0. What is a?
-1, 1, 11
Determine s, given that -4*s**3 + s**3 - 2*s**2 + 2 + 2*s - 4*s + 5*s**3 = 0.
-1, 1
Let g(y) be the third derivative of -y**8/4200 + y**6/900 + y**3 + 6*y**2. Let o(l) be the first derivative of g(l). Suppose o(u) = 0. Calculate u.
-1, 0, 1
Suppose 5/3*d**2 + 80/3*d - 5/3*d**3 + 100/3 = 0. Calculate d.
-2, 5
Factor 0 + 8*m**4 - 12/5*m**5 - 12/5*m**3 + 0*m + 0*m**2.
-4*m**3*(m - 3)*(3*m - 1)/5
Find o such that -15/8*o**3 + 0 - 3/8*o - 9/4*o**2 = 0.
-1, -1/5, 0
Let q = 5832 + -29016/5. Factor -36/5*g**2 - 192/5 - 3/5*g**3 - q*g.
-3*(g + 4)**3/5
Suppose 4/3*i**2 + 0 + 8*i = 0. Calculate i.
-6, 0
Let y(r) be the third derivative of -r**6/780 - 2*r**5/195 - 5*r**4/156 - 2*r**3/39 - r**2 - 11. Suppose y(l) = 0. What is l?
-2, -1
Let v(d) be the first derivative of d**2/2 + 3*d + 2. Let z be v(-3). Determine c, given that 1/2*c**2 + c**3 + 0 + 1/2*c**4 + z*c = 0.
-1, 0
Let g(z) be the first derivative of 0*z - 4/5*z**5 + 0*z**2 + 0*z**3 - 2 - 1/2*z**4 - 1/3*z**6. Solve g(j) = 0 for j.
-1, 0
Let s(h) = 7*h**2 + 4*h + 1. Let i(j) = -j**2 - j. Let g(q) = 6*i(q) 