**4 + 1139*b**2 + 968 + 1731*b**4 - 873*b + 7*b**2 + 92*b**3 + 2897*b.
2*(b + 1)**2*(b + 22)**2
Suppose -5*s - 2*k = 0, 0 = -5*s - 3*k + 2*k + 5. Determine z so that 0*z + 0 - 1/3*z**s = 0.
0
Let w(q) = q**3 - q**2 + 3. Let j be w(0). Let g(z) be the first derivative of -2/21*z**j - 1 + 4/7*z + 1/7*z**2. Factor g(c).
-2*(c - 2)*(c + 1)/7
Let t be 1/((3/(-228))/((-3)/12)). Solve -39*o**3 + t*o**3 + 15*o**3 = 0.
0
Suppose 67 - 63 = 2*m. Suppose m*d - 8 = -2*d. Factor 15*s**4 - 15*s**2 + 0*s**5 - 10*s + 3*s**3 + 3*s**5 + d*s**3 + 2*s**5.
5*s*(s - 1)*(s + 1)**2*(s + 2)
Suppose 42*s = 48*s - 42. Let i(b) be the third derivative of 10*b**2 + 0 + 1/120*b**s + 1/40*b**6 + 0*b**3 - 1/60*b**5 + 0*b**4 + 0*b. Factor i(w).
w**2*(w + 2)*(7*w - 2)/4
Let k = -3/128 - -41/384. Let s(c) be the second derivative of c**2 + 2*c + 0 - 1/2*c**3 + k*c**4. Factor s(g).
(g - 2)*(g - 1)
Let j(m) = 157*m**3 + 313*m**2 - 3*m. Let b be j(-2). Factor -2*h + 1/3*h**b + 8/3.
(h - 4)*(h - 2)/3
Let u = -61 - -63. Suppose u*j = 5*r + 4*j - 12, -3*j - 1 = -2*r. Suppose 16/7 - 8/7*n**4 + 4*n**r - 40/7*n + 2/7*n**5 + 2/7*n**3 = 0. What is n?
-2, 1, 2
Let t = 5138 - 5136. Solve 2/3*q**3 - 32/3 + 16/3*q + 14/3*q**t = 0 for q.
-4, 1
Let d(x) be the third derivative of x**7/350 - x**6/200 - 3*x**5/100 + x**4/40 + x**3/5 - 13*x**2 - 1. Factor d(b).
3*(b - 2)*(b - 1)*(b + 1)**2/5
Let h(f) be the first derivative of -13*f**3 + 123*f**2/2 - 18*f + 245. Factor h(v).
-3*(v - 3)*(13*v - 2)
Let w(f) be the first derivative of 3*f**5/5 - 15*f**4/4 + 3*f**3 + 27*f**2/2 - 40. Factor w(g).
3*g*(g - 3)**2*(g + 1)
Let y(h) be the second derivative of h**10/75600 - h**9/75600 - h**8/33600 - 4*h**4/3 + h. Let w(x) be the third derivative of y(x). Factor w(f).
f**3*(f - 1)*(2*f + 1)/5
Factor -2/7*n**2 - 36*n - 1134.
-2*(n + 63)**2/7
Factor -65*j**3 - 15*j**2 + 29*j + 200*j**4 - 29*j - 220*j**4.
-5*j**2*(j + 3)*(4*j + 1)
Suppose -38*u**3 - 7*u - 3 + 374*u**2 + 37*u**3 - 379*u**2 = 0. What is u?
-3, -1
Let y be (-93)/(-4) - ((-15)/20 + 1). Let l be y/115 + (-2)/10. Let 0 + l*t - 3/4*t**4 + 0*t**2 - 3/4*t**3 = 0. What is t?
-1, 0
Suppose b + 4*x + 2 = -4, 5*b - x - 12 = 0. Factor 110*j + 306 - 911 - 3*j**2 + 3*j**b - 5*j**2.
-5*(j - 11)**2
Suppose 7*u = -71 + 78. Let i(z) be the first derivative of 0*z**4 - u - 3/4*z**2 + 0*z - 3/4*z**3 + 3/20*z**5. Find x, given that i(x) = 0.
-1, 0, 2
Let x(c) be the first derivative of 21*c**5/20 + 195*c**4/16 + 93*c**3/2 + 60*c**2 + 24*c - 231. Determine p, given that x(p) = 0.
-4, -1, -2/7
Suppose -7*f + 2*c = -12*f + 337, -2*c = -4*f + 266. Let s = f - 64. Solve -2/5*d**4 + 2/5*d**2 + 0*d**s + 0 + 0*d = 0 for d.
-1, 0, 1
Suppose -o + 124 = -5*o. Let p = -29 - o. Factor -28*b**4 + 24*b**p + 8*b**3 + 32*b**2 - 28*b**2 - 8*b.
-4*b*(b - 1)*(b + 1)*(7*b - 2)
Let a(p) = -p**5 + p**4 + p**3 - p**2 - p - 1. Let j(l) = 4*l**5 - 12*l**4 + 4*l**3 + 28*l**2 + 16*l + 8. Let s(h) = -8*a(h) - j(h). Solve s(d) = 0.
-1, 0, 2
Factor -8/7*v**4 + 0 + 17/7*v**3 - 10/7*v**2 + 1/7*v**5 + 0*v.
v**2*(v - 5)*(v - 2)*(v - 1)/7
Suppose 1 - 10 = -3*h. Suppose h = a - 1. Factor 1 + a - 3*p**2 + 3 - 5.
-3*(p - 1)*(p + 1)
Let r(x) be the third derivative of -1/140*x**6 + 0*x - 2/21*x**3 + 13*x**2 - 3/28*x**4 + 0 - 1/21*x**5. Factor r(a).
-2*(a + 1)*(a + 2)*(3*a + 1)/7
Let v(s) be the third derivative of s**6/120 - s**5/60 - 2*s**2 - 45*s. Determine l, given that v(l) = 0.
0, 1
Let r(q) be the first derivative of 3*q**5/25 + 3*q**4/20 - 51. Factor r(j).
3*j**3*(j + 1)/5
Suppose -3*d + 46 = 31. Let w be (-9)/(-3) + (4/d - 2). Find j, given that -w*j**3 - 6*j**2 - 6/5 - 27/5*j = 0.
-2, -1, -1/3
Let o = -42 + 23. Let s = o - -19. Factor s*t + 0 - 2/3*t**2 - 2/3*t**3.
-2*t**2*(t + 1)/3
Suppose 114*o = 160*o - 46. Suppose -1/2*q**4 - 3/2*q + o - 1/2*q**2 + 3/2*q**3 = 0. Calculate q.
-1, 1, 2
Let t = -42 + 30. Let m be ((-9)/(-48))/((-3)/t). Factor -1/4*l**3 + 0 + l**5 + 0*l**2 - m*l**4 + 0*l.
l**3*(l - 1)*(4*l + 1)/4
Let -3/4*r**3 + 3/4*r + 51*r**2 - 51 = 0. What is r?
-1, 1, 68
Let r(g) be the first derivative of 4*g**3/3 - 2*g**2 - 24*g + 172. Factor r(p).
4*(p - 3)*(p + 2)
Let l = -16 + 25. Let y be 20/l - 6/27. Let -16*v + 5*v**3 - 6*v**5 + 24*v**y - 15*v**4 + v**4 + 7*v**3 = 0. What is v?
-2, 0, 2/3, 1
Suppose r + 4*r - 10 = 0. Factor -8*j**3 + 42*j + 38*j - 78*j + 3*j**r + 3*j**4.
j*(j - 2)*(j - 1)*(3*j + 1)
Let z = -379/2 + 1141/6. Factor 0*g - z*g**4 - 4/3*g**2 + 0 + 2*g**3.
-2*g**2*(g - 2)*(g - 1)/3
Let c(i) = 4*i**2 - 8*i - 12. Let y(x) = x**3 + 9*x + 10. Let l(f) = -3*c(f) - 4*y(f). Factor l(u).
-4*(u + 1)**3
Let v(r) be the third derivative of 0*r + 1/160*r**6 - 1/32*r**4 + 0*r**5 + 0 - 7*r**2 + 0*r**3. Factor v(m).
3*m*(m - 1)*(m + 1)/4
Suppose 3*t - 7*t + 84 = 0. Let c be -1 + 4 - (t + -20). Find s such that 0*s**c + 0 + 0*s**4 + 1/2*s**5 - 1/2*s**3 + 0*s = 0.
-1, 0, 1
Let q(c) be the second derivative of -c**5/160 - c**4/32 - c**3/24 - 78*c. Factor q(p).
-p*(p + 1)*(p + 2)/8
Let d(m) = -4*m**3 + 24*m**2 + 28*m - 2. Let b(n) = -1. Let f(h) = 2*b(h) - d(h). Let f(j) = 0. What is j?
-1, 0, 7
Let k = -2/68641 + 137292/343205. Let -v + k + 12/5*v**4 - 14/5*v**2 + v**3 = 0. Calculate v.
-1, -2/3, 1/4, 1
Let -4/9 - 1/9*h**3 - 8/9*h - 5/9*h**2 = 0. What is h?
-2, -1
Factor -18/7 - 242/7*k**2 + 132/7*k.
-2*(11*k - 3)**2/7
Factor 2/3*f**4 + 4/3 - 2/3*f**3 + 2/3*f - 2*f**2.
2*(f - 2)*(f - 1)*(f + 1)**2/3
Let t = -6172 - -6172. Let 0 + t*o + 1/3*o**3 + 0*o**2 = 0. What is o?
0
Suppose 5*i = -2*a, -4*a - i = -3*a. Let c be -2 + ((-26)/12)/(-1). Factor a - 1/6*w**3 - 1/6*w**4 + c*w**2 + 1/6*w.
-w*(w - 1)*(w + 1)**2/6
Factor -11 - 40 + 5*u - 5*u**3 + 70*u**2 - 19.
-5*(u - 14)*(u - 1)*(u + 1)
Let z be 0/1 - 2/(-8). Let o be (3/(-6) - 1/(-8))/(36/(-192)). Factor 5/4*f**4 + 0*f + f**o + 2*f**3 + z*f**5 + 0.
f**2*(f + 1)*(f + 2)**2/4
Let a be -1 + 0 + (-7 - (-53)/8). Let x = a - -41/24. Factor -1/3*y - 1/3 + 1/3*y**2 + x*y**3.
(y - 1)*(y + 1)**2/3
Suppose 264*w - 9 = 261*w. Let c(a) be the first derivative of 3/8*a**4 - 1/3*a**3 + 0*a**2 + w + 0*a - 1/10*a**5. Let c(f) = 0. What is f?
0, 1, 2
Let m be (2*6)/(8/32*-4). Let i be ((-2)/8)/(4 - (-54)/m). Factor 0*s + 1/2*s**2 - i.
(s - 1)*(s + 1)/2
Let r(m) be the third derivative of -m**7/1260 + m**6/240 - m**5/120 + m**4/144 + 52*m**2. Suppose r(n) = 0. What is n?
0, 1
Let b(i) = -i**3 + 9*i**2 - 12*i. Let m(y) = 2*y**3 - 9*y**2 + 13*y. Let j(z) = 3*b(z) + 2*m(z). Factor j(d).
d*(d - 1)*(d + 10)
Let r(h) = h**3 - 8*h**2 + 12*h + 4. Let a be r(6). Let f be (-15)/(-126) + a/24. Factor -16/7*y**5 + 0 - f*y**2 - 12/7*y**3 - 24/7*y**4 + 0*y.
-2*y**2*(2*y + 1)**3/7
Let g(o) = 2*o**2 - o + 1. Let w(u) = 2*u**2 - 210*u - 54. Let y(h) = -g(h) - w(h). Factor y(v).
-(v - 53)*(4*v + 1)
Let u(l) = l + 4. Let f be u(-2). Determine z, given that 16 - 19*z - z**2 + 9*z**2 - 4*z**f - z = 0.
1, 4
Let b(o) be the third derivative of -o**8/112 + o**7/70 + o**6/20 - o**5/10 - o**4/8 + o**3/2 - 37*o**2. Let b(r) = 0. Calculate r.
-1, 1
Let l = 138 + -131. Let o(k) be the third derivative of 11/40*k**6 + 2/5*k**5 + 0*k**3 + 3*k**2 + 0 - 1/2*k**4 + 3/70*k**l + 0*k. Factor o(s).
3*s*(s + 2)**2*(3*s - 1)
Let i = -278 - -2781/10. Let w(t) be the second derivative of 1/3*t**3 + 0*t**4 - i*t**5 + t + 0*t**2 + 0. Find v, given that w(v) = 0.
-1, 0, 1
Let a = 886/15 + -176/3. Factor -a*z**2 + 2/5*z + 0.
-2*z*(z - 1)/5
Let j(d) = d**3 - 11*d**2 + 11*d - 6. Let c be j(10). Factor -88*q**2 + 82*q**2 - 1 - c*q - 2*q**3 + 1.
-2*q*(q + 1)*(q + 2)
Let t(m) be the first derivative of 3*m**4/2 - 2*m**3 + m**2 - m + 17. Let r(p) be the first derivative of t(p). Factor r(b).
2*(3*b - 1)**2
Let k(b) be the second derivative of b**7/28 - b**6/5 - 3*b**5/8 - 40*b + 3. Factor k(w).
3*w**3*(w - 5)*(w + 1)/2
Let p = -190 - -953/5. Let k(i) be the first derivative of 3*i + 0*i**2 + p*i**5 - 9 - 2*i**3 + 0*i**4. Factor k(h).
3*(h - 1)**2*(h + 1)**2
Let c(p) be the third derivative of p**6/420 + p**5/70 - 89*p**2. Let c(m) = 0. Calculate m.
-3, 0
Let j(m) be the first derivative of 1/20*m**4 + 10 - 1/10*m**2 - 1/5*m**3 + 3/5*m. Solve j(y) = 0.
-1, 1, 3
Let m(u) be the second derivative of -u**5/6 - 7*u**4/18 + 8*u**3/9 + 4*u**2/3 + 415*u. Let m(h) = 0. What is h?
-2, -2/5, 1
Let r(o) = -2*o**2 + 31*o - 