 20 = -s - 4*n. Let o(w) be the first derivative of 2 - 4/21*w**3 + 2/7*w + 0*w**4 + s*w**2 + 2/35*w**5. Factor o(p).
2*(p - 1)**2*(p + 1)**2/7
Factor -176/5*p**4 + 28/5*p**5 + 0 - 64*p**2 + 384/5*p**3 + 64/5*p.
4*p*(p - 2)**3*(7*p - 2)/5
Let q(b) = 12*b**4 - 21*b**3 - 3*b**2 + 21*b + 33. Let l(h) = 3*h**4 - 5*h**3 - h**2 + 5*h + 8. Let i(z) = -21*l(z) + 5*q(z). Factor i(f).
-3*(f - 1)**2*(f + 1)**2
Let s(r) be the third derivative of r**7/210 - r**6/40 + r**5/60 + r**4/8 - r**3/3 - 7*r**2. Factor s(b).
(b - 2)*(b - 1)**2*(b + 1)
Let m(i) be the first derivative of -7*i**6/3 + 66*i**5/5 - 53*i**4/2 + 62*i**3/3 - 8*i - 1. Suppose m(f) = 0. What is f?
-2/7, 1, 2
Let t(i) be the third derivative of 0*i**3 + 1/660*i**6 + 0 + 0*i - 1/165*i**5 + 4*i**2 + 1/132*i**4. Factor t(o).
2*o*(o - 1)**2/11
Let a(j) be the first derivative of j**3/5 - 27*j**2/10 - 19. Solve a(z) = 0 for z.
0, 9
Suppose -1/6*o**2 + 1/6 - 1/6*o**3 + 1/6*o = 0. What is o?
-1, 1
Let p = -2176 - -8605/4. Let i = 25 + p. Solve 1/4*s - 1/4 - 1/4*s**3 + i*s**2 = 0 for s.
-1, 1
Suppose z - 5 = -3. Let v(a) be the first derivative of -2/15*a**5 + 2/9*a**3 - 1 + 0*a + 1/6*a**z + 0*a**4 - 1/18*a**6. Factor v(c).
-c*(c - 1)*(c + 1)**3/3
Let k = 17/240 + -1/20. Let b(u) be the third derivative of 0 + 3*u**2 - 1/120*u**5 - k*u**4 + 1/6*u**3 + 0*u. Factor b(l).
-(l - 1)*(l + 2)/2
Let n(d) be the second derivative of d**4/90 - 2*d**3/45 - d**2/5 - 4*d. Determine f so that n(f) = 0.
-1, 3
Let h(a) = a**2 - 6*a + 12. Let l be h(3). Solve -1/5*t + 2/5*t**l + 0 + 1/5*t**2 = 0.
-1, 0, 1/2
Let y(h) be the first derivative of -h**4/6 - 2*h**3/3 - h**2 - 3*h + 2. Let t(s) be the first derivative of y(s). Find m such that t(m) = 0.
-1
Let n(d) be the third derivative of 0 + 1/3*d**5 + 0*d - 5*d**2 + 0*d**3 + 2/15*d**6 + 2/105*d**7 + 1/3*d**4. Let n(u) = 0. Calculate u.
-2, -1, 0
Let x(v) be the third derivative of -v**9/60480 + v**7/10080 + v**4/12 - 2*v**2. Let w(f) be the second derivative of x(f). Factor w(s).
-s**2*(s - 1)*(s + 1)/4
Let z(o) = 7*o**2 + 21*o - 18. Let m(n) = -3*n**2 - 10*n + 9. Let a(b) = 9*m(b) + 4*z(b). Factor a(j).
(j - 3)**2
Let k = 31 + -29. Factor 1/2*n**k + 0 - 1/2*n.
n*(n - 1)/2
Let z be ((-3)/(-2))/(6/8). Factor 4*d**3 + 2 + 7*d + 0 - z*d**4 - 11*d.
-2*(d - 1)**3*(d + 1)
Let u be (1/11)/(5/20). Factor 0 - 2/11*n + 0*n**3 + 2/11*n**5 + 4/11*n**2 - u*n**4.
2*n*(n - 1)**3*(n + 1)/11
Suppose 4*l + 2 = 3*l, 4*l = -a + 69. Let m be 44/a + 2/(-7). Determine o so that 0 + 2/7*o**4 + m*o**5 + 0*o**2 + 0*o + 0*o**3 = 0.
-1, 0
Let i(w) be the second derivative of 0*w**5 + 0*w**2 + 0 - 5*w - 1/120*w**6 + 0*w**4 + 0*w**3. Find u such that i(u) = 0.
0
Let l(n) be the first derivative of 5*n**6/6 - 5*n**5 + 15*n**4/2 + 10*n**3/3 - 35*n**2/2 + 15*n + 5. Factor l(b).
5*(b - 3)*(b - 1)**3*(b + 1)
Factor 2/3*j**2 + 4/3 + 2*j.
2*(j + 1)*(j + 2)/3
Let q(r) be the third derivative of -r**7/70 + r**6/80 + r**5/40 - 5*r**2. Factor q(t).
-3*t**2*(t - 1)*(2*t + 1)/2
Let p(i) be the third derivative of i**6/24 - i**5/12 - 27*i**2. Find n, given that p(n) = 0.
0, 1
Suppose 0*p - 18 = -4*c + 2*p, -2*c - 5*p - 21 = 0. Factor 7/4*t**c - 15/4*t + 9/4 - 1/4*t**3.
-(t - 3)**2*(t - 1)/4
Let v be (0 - -1) + 435/(-441). Let j = 194/147 + v. Factor 2*r + 2/3 + j*r**2.
2*(r + 1)*(2*r + 1)/3
Let q(o) = -o + 14. Let a be q(10). Suppose 2*c - a*s = 4, -5*c - 2*s = -3*s - 1. Determine w, given that c*w - 2*w**4 + 1 + 0 + w**2 - 3*w**3 + 3*w = 0.
-1, -1/2, 1
Let h(t) be the first derivative of -4*t**2 + 28/3*t**3 + t - 49/6*t**4 - 1. Let m(u) be the first derivative of h(u). Factor m(n).
-2*(7*n - 2)**2
Let t(v) be the first derivative of 3*v**6/10 + 21*v**5/25 - 17*v**4/20 - 11*v**3/5 + 12*v**2/5 - 4*v/5 - 3. Determine p, given that t(p) = 0.
-2, 1/3, 1
Suppose 0 = 4*b - 8 - 0. Suppose b*o + 21 = -5*u, -o - 2*u - 2 - 6 = 0. Factor -v**o + 3/2*v + 1 - 3/2*v**3.
-(v - 1)*(v + 1)*(3*v + 2)/2
Let f(m) be the third derivative of -3/40*m**5 - 9/16*m**4 - 1/240*m**6 + 0 - 9/4*m**3 + m**2 + 0*m. Determine n, given that f(n) = 0.
-3
Let y(b) = -6*b**2 - 9*b + 3. Let k(f) = 5*f**2 + 8*f - 2. Let z(j) = -3*k(j) - 2*y(j). Factor z(n).
-3*n*(n + 2)
Let q(b) = b**3 + 4*b**2 - 8*b - 12. Let l be q(-5). Let u be ((-1)/3)/((-2)/4). Factor -2/3*y + 0*y**4 + 4/3*y**l + 0*y**2 + 0 - u*y**5.
-2*y*(y - 1)**2*(y + 1)**2/3
Suppose 2*x + 2*x = 2*q - 16, 36 = -4*x - 3*q. Let b = x - -10. Factor 1/4*r**2 + 1/4*r**b + 1/2*r**3 + 0 + 0*r.
r**2*(r + 1)**2/4
Let z = 749/282 + 1/94. Suppose -4*t + 9 = -t. Factor 134/3*d**t - 32/3*d + 98/3*d**5 + 46/3*d**2 - 238/3*d**4 - z.
2*(d - 1)**3*(7*d + 2)**2/3
Let t = 1104 + -1104. Find o, given that t + 1/6*o**2 + 0*o = 0.
0
Let m(s) be the first derivative of 7*s**4/4 + 4*s**3 - 2*s**2 - 7. Factor m(j).
j*(j + 2)*(7*j - 2)
Let s = -146 - -148. Suppose 1 - 5/4*z**s - 2*z = 0. Calculate z.
-2, 2/5
Let v = 67/2640 - 1/220. Let b(p) be the third derivative of 0*p - 2*p**2 + 0*p**3 + 0 - v*p**4 + 1/240*p**5. Factor b(c).
c*(c - 2)/4
Let n(x) = 30*x + 180. Let l be n(-6). Let g be (-3)/6 + 14/4. Let l*f + 2/9*f**g + 0 + 2/9*f**2 = 0. Calculate f.
-1, 0
Solve 19*w**5 + 12*w**2 - 6*w**3 - 12*w**4 - 22*w**5 - 3*w + 12*w = 0 for w.
-3, -1, 0, 1
Let f be 2 + (8/(-28) - (-10)/(-7)). Factor 4/7*m**2 + 0*m**3 - f*m**4 + 0*m - 2/7.
-2*(m - 1)**2*(m + 1)**2/7
Let i(t) be the third derivative of 0 + 1/30*t**6 + 0*t**4 + 0*t - 3*t**2 + 1/30*t**5 + 0*t**3 + 1/105*t**7. Solve i(o) = 0 for o.
-1, 0
Let n(m) be the second derivative of 2/3*m**3 + m**2 - 2*m + 1/6*m**4 + 0. Solve n(d) = 0.
-1
Let n(h) be the first derivative of 4*h**4 + 40*h**3/3 - 23*h**2/2 + 3*h + 6. Factor n(z).
(z + 3)*(4*z - 1)**2
Let b(w) = 8*w**4 - 4*w**3 - 4*w**2 + 4*w + 4. Let l(c) = -7*c**4 + 4*c**3 + 4*c**2 - 4*c - 3. Let i(z) = 3*b(z) + 4*l(z). Factor i(v).
-4*v*(v - 1)**2*(v + 1)
Let n = 1/173 - -337/1557. Let c(w) be the first derivative of 2/9*w**4 - 4 + 2/3*w**2 + n*w + 2/3*w**3. Find b such that c(b) = 0.
-1, -1/4
Let a be 1 + 2/(-2) + 2. Factor 10*k**2 - 3*k**5 + 6*k - 2*k - k**5 - 8*k**4 - 2*k**a.
-4*k*(k - 1)*(k + 1)**3
Let m(l) be the first derivative of -l**6/360 - 4*l**3/3 - 1. Let w(s) be the third derivative of m(s). Factor w(h).
-h**2
Let o(s) be the third derivative of -1/10*s**5 - 1/6*s**4 - 2*s**2 + 0 + 1/3*s**3 + 0*s. Factor o(m).
-2*(m + 1)*(3*m - 1)
Let v(m) = 0 - 5*m**2 - 5 - m**3 + 5*m + 3. Let y be v(-6). Find x such that 0*x + 0*x**2 + 2/3*x**3 + 2/3*x**y + 0 = 0.
-1, 0
Let x(f) = -f - 1. Let b(q) = -2*q**2 - q + 1. Let p(g) = b(g) + 3*x(g). Factor p(v).
-2*(v + 1)**2
Suppose -6*i + 5*i + 12 = 0. Solve 2*w**4 - 18 + 18 + 12*w**2 - i*w**3 + w**4 = 0.
0, 2
Suppose 4*z + 1068 = 5*a, 5*a - 62 = 5*z + 1008. Let 212 - a + 4*p**3 = 0. Calculate p.
0
Let v(m) be the first derivative of -m**4/5 + 4*m**3 - 30*m**2 + 100*m - 34. Suppose v(c) = 0. Calculate c.
5
Let y(t) be the second derivative of -t**4 + 29*t**3/2 - 21*t**2/2 - 43*t. Factor y(l).
-3*(l - 7)*(4*l - 1)
Let m(v) be the first derivative of v**3 + 9*v**2 + 15*v + 2. Factor m(b).
3*(b + 1)*(b + 5)
Let v(q) be the first derivative of -3*q**4/20 + 8*q**3/15 - 3*q**2/10 - 2*q/5 - 31. Factor v(h).
-(h - 2)*(h - 1)*(3*h + 1)/5
Let j be (-3)/(-2) - 2*2/(-8). Let m(l) be the third derivative of -2/15*l**3 + 0 + 1/60*l**4 + 3*l**j + 0*l + 1/150*l**5. Factor m(g).
2*(g - 1)*(g + 2)/5
Let y be (-8)/28 - ((-354)/210 - -1). Solve 2/5 - 2/5*a**2 + 2/5*a**3 - y*a = 0.
-1, 1
Let u = -29 - -31. Let i(n) be the first derivative of 1 - 1/3*n**3 - n**u - n. Solve i(m) = 0.
-1
Let a(v) be the third derivative of -v**7/12600 - v**6/600 - 3*v**5/200 - v**4/24 + v**2. Let l(o) be the second derivative of a(o). Factor l(r).
-(r + 3)**2/5
Let i(w) be the second derivative of w**6/12 - w**5/8 - 5*w**4/12 - 24*w. Determine g so that i(g) = 0.
-1, 0, 2
Let p(n) = -n - 4. Let d be p(-6). Let -q**2 + q**3 + 2*q + 0*q**3 - q - q**d = 0. Calculate q.
0, 1
Let x(m) be the second derivative of m**4/12 + m**3/3 - 3*m**2/2 - 9*m. Solve x(r) = 0.
-3, 1
Suppose -s + h + 15 = -2*s, 4*s + 3*h + 59 = 0. Let t = -11 - s. Suppose -4/7*p**2 + 0 - 2/7*p + 2/7*p**5 + 0*p**t + 4/7*p**4 = 0. Calculate p.
-1, 0, 1
Let p(b) be the second derivative of -b**6/480 - b**5/160 - b**3/3 + 3*b. Let t(s) be the second derivati