-8, -4*p = m - 32 + 4. Let k(o) = -o**4 + o. Let z(i) = -4*i**5 + 2*i**2 - 6*i. Let c(y) = p*k(y) + z(y). Factor c(s).
-2*s**2*(s + 1)**2*(2*s - 1)
Let h(p) = -p**3 + p**2 + p - 1. Let k(n) = -n - 7. Let o be k(-8). Let s(t) = -4*t**3 + 6*t**2 - 2. Let l(i) = o*s(i) - 2*h(i). Factor l(f).
-2*f*(f - 1)**2
Let v(n) be the first derivative of -3*n**5/5 - 39*n**4/4 - 60*n**3 - 168*n**2 - 192*n + 1. Factor v(p).
-3*(p + 1)*(p + 4)**3
Let l(p) be the second derivative of -p**3 + 6*p + 2*p**2 + 0 + 3/10*p**5 - 1/6*p**4 - 1/15*p**6. Factor l(g).
-2*(g - 2)*(g - 1)**2*(g + 1)
Let d = 2/1925 - -6323/1925. Let n = -3 + d. Factor 80/7*o**3 + n + 32/7*o**4 + 66/7*o**2 + 20/7*o.
2*(o + 1)**2*(4*o + 1)**2/7
Let z = 432 + -427. Find d, given that 2/5*d**4 - 1/5*d**z + 0*d**2 + 0*d - 1/5*d**3 + 0 = 0.
0, 1
Let w be 1/((-3)/(-2) - 1). Let t be (-10)/55 - 4/(-132)*17. Let -1/3*u**w - t*u + 2/3 = 0. Calculate u.
-2, 1
Let d(k) be the second derivative of -2*k**5/7 - k**4/21 + 4*k**3/21 - 26*k. Factor d(j).
-4*j*(2*j + 1)*(5*j - 2)/7
Let r(d) be the first derivative of 2*d**3/21 + 2*d**2/7 - 9. Factor r(c).
2*c*(c + 2)/7
Let g(f) be the third derivative of -f**8/42 + 4*f**7/105 + f**6/20 - f**5/15 - f**4/12 + f**2. Suppose g(j) = 0. What is j?
-1/2, 0, 1
Let x = 17 - 14. Factor 4 - x*l**3 - 1 - 3*l**2 + 2*l + 0*l**2 + l.
-3*(l - 1)*(l + 1)**2
Let p(k) be the first derivative of 4*k**5/5 + 3*k**4 - 8*k**2 - 16. Find t such that p(t) = 0.
-2, 0, 1
Let j = 7/3 - 5/3. Let 2/3*o**2 - 2/3*o**3 + 2/3*o - j = 0. What is o?
-1, 1
Let d = 217/135 + -11/27. Factor 2/5*i**3 - 6/5*i**2 - 2/5 + d*i.
2*(i - 1)**3/5
Suppose -1/5 + p + 2*p**3 - 2*p**2 - p**4 + 1/5*p**5 = 0. What is p?
1
Find h, given that 0*h - 3*h**5 + 0 + 0*h**2 + 4*h**4 - 4/3*h**3 = 0.
0, 2/3
Let k = -1544/15 + 103. Let v(q) be the first derivative of -2 + 4/25*q**5 - 4/15*q**3 + k*q**6 + 0*q**4 + 0*q - 1/5*q**2. Factor v(x).
2*x*(x - 1)*(x + 1)**3/5
Let r(w) be the first derivative of -w**5/10 - 3*w**4/4 - 3*w**3/2 + 8. Factor r(u).
-u**2*(u + 3)**2/2
Let f = 877/4 + -217. Suppose -3/4*z - f*z**2 + 0 - 3/4*z**4 - 9/4*z**3 = 0. What is z?
-1, 0
Let f(a) = a**4 - 5*a**3 - 2*a**2 - 6. Let y(k) = -2*k**4 + 9*k**3 + 4*k**2 + 11. Let p(u) = 11*f(u) + 6*y(u). Factor p(d).
-d**2*(d - 1)*(d + 2)
Factor -3 - 3/8*g**2 + 27/8*g.
-3*(g - 8)*(g - 1)/8
Solve 0*z + 0 - 2/11*z**4 - 2/11*z**2 + 4/11*z**3 = 0 for z.
0, 1
Let -9*r - 3*r**5 + 67*r**4 + 6 - 6*r**2 + 12*r**3 - 67*r**4 = 0. What is r?
-2, -1, 1
Let y be ((-12)/64)/(45/(-12)). Let t(w) be the first derivative of 1/4*w + 1/2*w**2 - 2 + 1/2*w**3 + y*w**5 + 1/4*w**4. Factor t(m).
(m + 1)**4/4
Let t(j) be the third derivative of -j**6/30 + 4*j**5/15 - 5*j**4/6 + 4*j**3/3 + 7*j**2. Find l such that t(l) = 0.
1, 2
Let o(x) = 6*x**3 - 4*x**3 + 6 - 10 + 0*x**3 - 6*x**4. Let m(c) = -7*c**4 + 2*c**3 - c**2 - 5. Let y(l) = -4*m(l) + 5*o(l). Factor y(r).
-2*r**2*(r - 2)*(r + 1)
Let g(l) be the second derivative of 4*l + 0 - 5/4*l**3 - 1/40*l**5 - 9/4*l**2 - 7/24*l**4. Suppose g(n) = 0. What is n?
-3, -1
Suppose 3 - 1 = v. Factor -3/2*m**3 - 6*m**v + 3/4*m**5 - 21/4*m - 3/2 + 3/2*m**4.
3*(m - 2)*(m + 1)**4/4
Let d(r) = r**3 - 1. Let k(w) = 6*w**3 + 2*w**2 - 2*w - 6. Let i(f) = 4*d(f) - k(f). Factor i(y).
-2*(y - 1)*(y + 1)**2
Factor -1/2*s**5 + 0*s - 2*s**2 - 5/2*s**4 + 0 - 4*s**3.
-s**2*(s + 1)*(s + 2)**2/2
Suppose -2*s = -0*s - 12. Suppose -2*r = r - s. Factor 0*o**4 + 0*o + 1/4*o**5 + 0 - 3/4*o**3 + 1/2*o**r.
o**2*(o - 1)**2*(o + 2)/4
Suppose 0 = 3*h - 4*o - 21, -4*h - 8 = 5*o - 67. Suppose n - h = -2. Factor -a**3 - n*a**3 + 4 + 11*a**4 + 10*a + 3*a**4 - 18*a**2.
2*(a - 1)**2*(a + 1)*(7*a + 2)
Let i(n) be the third derivative of -n**8/1680 - n**7/350 - n**6/200 - n**5/300 + 20*n**2. Solve i(h) = 0 for h.
-1, 0
Let r(q) be the second derivative of -2/7*q**2 - 4*q + 0 + 1/42*q**4 + 1/21*q**3. Factor r(t).
2*(t - 1)*(t + 2)/7
Let c(s) be the third derivative of s**7/315 - s**6/240 - s**5/40 - s**4/72 - 3*s**2. Suppose c(t) = 0. What is t?
-1, -1/4, 0, 2
Suppose -2*k = 3*i - 12, 5*i + 0*k - 13 = -k. Let p = 7/23 - -2/69. Suppose -2/3*h - p*h**i + 0 = 0. Calculate h.
-2, 0
Let u(x) = x**2 - 15*x + 2. Let w be u(15). Let m(d) be the second derivative of 1/24*d**4 - 1/6*d**3 + 1/4*d**2 + 0 - w*d. Factor m(n).
(n - 1)**2/2
Let n = 64 + -319/5. Let p be (-2 - 35/(-25))/(-1). Factor p*t + n*t**2 + 2/5.
(t + 1)*(t + 2)/5
Let x be (8/12)/(1 + (-21)/(-9)). Factor -1/5*p - 2/5*p**2 + x*p**3 + 2/5.
(p - 2)*(p - 1)*(p + 1)/5
Let h(p) be the second derivative of 4*p**2 + 2*p**3 - p + 0 + 1/3*p**4. Factor h(u).
4*(u + 1)*(u + 2)
Let w(z) be the third derivative of -z**9/6048 + z**8/1680 - z**6/360 + z**5/240 + z**3/6 + 2*z**2. Let j(h) be the first derivative of w(h). Factor j(q).
-q*(q - 1)**3*(q + 1)/2
Let b(o) = -3*o**3 - 8*o - 5. Let y(h) = h**3 + 4*h + 2. Let n(q) = 2*b(q) + 5*y(q). Suppose n(r) = 0. Calculate r.
-2, 0, 2
Suppose -7*r - 2*n = -8*r, 0 = -5*r - n. Let s(g) be the second derivative of 3/20*g**5 - 4*g + 0*g**2 + r + 3/4*g**4 + g**3. Factor s(m).
3*m*(m + 1)*(m + 2)
Let j(v) be the second derivative of -3*v**5/20 + v**4/2 + v**3/2 - 3*v**2 + 4*v. Factor j(g).
-3*(g - 2)*(g - 1)*(g + 1)
Let z(r) be the third derivative of r**6/280 - r**5/70 - 5*r**4/56 + 3*r**3/7 - 2*r**2 - 2. Factor z(k).
3*(k - 3)*(k - 1)*(k + 2)/7
Let z be ((-104)/182 - (-20)/(-14))/(-11). Factor 2/11*m**2 - 4/11*m + 4/11*m**3 - z.
2*(m - 1)*(m + 1)*(2*m + 1)/11
Let x be 11/22 - (-1)/(-10). Factor -2/5 + x*t**2 + 0*t.
2*(t - 1)*(t + 1)/5
Suppose z - 5*f = -13 + 3, 2*z - f = -2. Let i = 2 - z. Factor -3*u**3 + u**2 + u - 1 + 2*u**3 + 0*u**i.
-(u - 1)**2*(u + 1)
Suppose -4*s - p + 16 = 0, s - 2*p + 5 = -0. Suppose -2 = s*n - 8. Factor 2 - 5 + 2*v**3 + 3 + 2*v**n.
2*v**2*(v + 1)
Let s = -11 - -19. Let r = s - 6. Factor -4 + 4 - 3*d**3 - d**r + 3*d**4 - 2*d**4 + 3*d**5.
d**2*(d - 1)*(d + 1)*(3*d + 1)
Solve -5/4*q**3 + 0 + 1/4*q**4 + 1/4*q**5 + 0*q + 3/4*q**2 = 0 for q.
-3, 0, 1
Suppose 19 - 25 = -3*g. Let n(b) be the second derivative of 3*b + 1/6*b**3 + 0 + 0*b**g + 0*b**4 - 1/20*b**5. Factor n(x).
-x*(x - 1)*(x + 1)
Suppose 0 = 3*s - 8*s + 2*r + 18, 0 = 2*s - 5*r - 3. Suppose s*v = 8 + 4. Suppose 2/5*d**v + 6/5*d - 2/5 - 6/5*d**2 = 0. Calculate d.
1
Let d be (-305)/183*8/(-5). Suppose 64/3*q + 142/3*q**2 + d + 56/3*q**3 = 0. Calculate q.
-2, -2/7, -1/4
Let j(z) be the second derivative of z**4/12 + 6*z**3 + 162*z**2 - 66*z. Factor j(p).
(p + 18)**2
Factor 6*y - y**3 + 8*y - 13*y.
-y*(y - 1)*(y + 1)
Let m = 34 + -33. Let c(b) be the first derivative of -2/7*b**3 - m - 1/14*b**4 - 3/7*b**2 - 2/7*b. Factor c(a).
-2*(a + 1)**3/7
Let c(d) be the third derivative of -d**6/540 + d**5/54 - 7*d**4/108 + d**3/9 + 11*d**2. Factor c(q).
-2*(q - 3)*(q - 1)**2/9
Let k(p) = 2*p**4 + p**3 - p + 1. Let c = 4 + -1. Let u(w) = -2*w**4 - 2*w**3 + 2*w. Let n(t) = c*u(t) + 2*k(t). Find m, given that n(m) = 0.
-1, 1
Determine z, given that -46/17*z**4 - 14/17*z**5 + 0 - 12/17*z**3 + 16/17*z + 56/17*z**2 = 0.
-2, -2/7, 0, 1
Let k(s) = s**2 - s + 1. Let w(i) = 9*i**2 - 36*i + 33. Let z(q) = 6*k(q) - w(q). Factor z(u).
-3*(u - 9)*(u - 1)
Let h(z) be the first derivative of -2*z**3/15 - z**2/5 + 4*z/5 - 5. Solve h(u) = 0 for u.
-2, 1
Let g(v) be the first derivative of -v**4 + 8*v**3 - 18*v**2 + 16*v - 24. Factor g(t).
-4*(t - 4)*(t - 1)**2
Suppose 0 = -y + 11 - 6. Solve 10/7*i**4 + 10/7*i + 2/7 + 2/7*i**y + 20/7*i**3 + 20/7*i**2 = 0.
-1
Let t(a) be the second derivative of a**6/75 - 7*a**5/50 - 5*a + 1. Factor t(k).
2*k**3*(k - 7)/5
Find j such that -8/11*j**4 + 0*j - 10/11*j**3 - 4/11*j**2 - 2/11*j**5 + 0 = 0.
-2, -1, 0
Find n, given that 2*n - 10*n**2 - 2*n + 5*n**5 - 15*n**3 + 0*n**5 = 0.
-1, 0, 2
Let n(g) be the second derivative of g**7/28 - 3*g**6/20 + 3*g**5/40 + 3*g**4/8 - g**3/2 + 9*g. Suppose n(m) = 0. What is m?
-1, 0, 1, 2
Let l(q) be the second derivative of 2/21*q**3 + 3/14*q**4 + 0 + 1/10*q**5 + 0*q**2 - q. Factor l(i).
2*i*(i + 1)*(7*i + 2)/7
Let q(t) be the third derivative of -1/60*t**5 + 0*t**3 + 4*t**2 + 0 + 0*t**4 - 5/1344*t**8 + 0*t + 1/60*t**6 + 1/120*t**7. Solve q(m) = 0.
-1, 0, 2/5, 2
Let d = -1 + 3. Factor -1 + z**3 + z**3 + 0 + z - 3*z**3 + z**d.
-(z - 1)**2*(z + 1)
Let i be ((-1)/(-3))/(-6 - 165/(-27)). 