 - 169*s**5/20 + 191*s**4/12 - 4*s**3 - 18*s**2 + 31*s. Solve o(i) = 0 for i.
-1/3, 1, 6
Let h(c) be the first derivative of c**8/672 - c**7/168 + c**6/144 + 17*c**3/3 - 11. Let y(u) be the third derivative of h(u). Factor y(t).
5*t**2*(t - 1)**2/2
Let b(i) be the third derivative of 5*i**8/1008 + 4*i**7/63 + i**6/4 + 4*i**5/9 + 25*i**4/72 - 82*i**2. Determine k, given that b(k) = 0.
-5, -1, 0
Let d = 21807 - 65420/3. Factor d*g**5 - 2*g**4 + 13/3*g**3 + 4/3*g - 4*g**2 + 0.
g*(g - 2)**2*(g - 1)**2/3
Suppose -57 + 41 = -8*g. Let w(x) be the second derivative of 1/4*x**4 + 0 + 8*x**g - 2*x**3 - 1/80*x**5 + 11*x. Solve w(r) = 0 for r.
4
Let u(i) = -6*i**3 + 80*i**2 - 42*i - 32. Let j(t) = 13*t**3 - 159*t**2 + 83*t + 63. Let z(g) = 4*j(g) + 7*u(g). Factor z(y).
2*(y - 7)*(y - 1)*(5*y + 2)
Let c be 1 + (-5)/((-15)/9). Determine s so that 2*s**c - 25*s + s**4 + 39*s**2 - 11*s + 12 - 18*s**3 = 0.
1, 2
Let k(s) be the second derivative of s**5/10 - 131*s**4/12 - 100*s**3/3 - 67*s**2/2 - 27*s - 7. Factor k(b).
(b - 67)*(b + 1)*(2*b + 1)
Let g(m) be the first derivative of -m**4/4 - 2*m**3/3 + 98. Factor g(n).
-n**2*(n + 2)
Let s(d) be the third derivative of d**6/240 - d**5/120 - 17*d**4/48 - 5*d**3/4 - 16*d**2 - 3*d. Factor s(h).
(h - 5)*(h + 1)*(h + 3)/2
Let m be 4/15*((-81)/12)/((-12)/8). Solve 8/3*l + 8/15 + m*l**2 = 0.
-2, -2/9
Let a(d) be the second derivative of 5*d**4/12 - 215*d**3/3 + 9245*d**2/2 + 2*d + 5. Factor a(k).
5*(k - 43)**2
Factor -7688/5 - 2/5*r**2 - 248/5*r.
-2*(r + 62)**2/5
Suppose 3*w = -2*l - 55, -5*w = -4*l - 0*w - 165. Let r be l/(-21)*(-12)/(-10). Factor 0*b**r + 0 + 2/7*b**3 + 0*b.
2*b**3/7
Let i = -780 - -783. Let h(d) be the third derivative of -2/3*d**4 - 1/6*d**5 - 1/60*d**6 + 0*d + 0 - 4/3*d**i + 4*d**2. Factor h(w).
-2*(w + 1)*(w + 2)**2
Suppose -5*a + 0 = y - 31, -2*a = -5*y + 101. Find b such that 5 - y - 28*b**4 + 18*b**3 + 36*b**4 - 72*b - 28*b**2 = 0.
-2, -1/4, 2
Find z such that 2/7*z**2 + 8/7*z - 10/7 = 0.
-5, 1
Suppose -34*q + 3*q**2 - 42*q + 26*q + 2*q**2 = 0. Calculate q.
0, 10
Let w(l) be the first derivative of -l**6/450 - l**5/300 + l**4/60 + 31*l**3/3 + 30. Let j(z) be the third derivative of w(z). What is r in j(r) = 0?
-1, 1/2
Let i = 19 - 16. Determine v, given that 3*v**4 + 15*v**2 - 6*v - 67*v**3 + 108*v**3 - 53*v**i = 0.
0, 1, 2
Let l = -3454 + 31091/9. Factor -1/9 - l*y**2 + 4/9*y + 2/9*y**3.
(y - 1)**2*(2*y - 1)/9
Let r(l) be the first derivative of 4*l**5/5 - 4*l**4 + 4*l**3/3 + 12*l**2 + 82. Factor r(n).
4*n*(n - 3)*(n - 2)*(n + 1)
Determine b, given that -6/7*b**4 - 2*b**2 + 8/7*b + 8/7 - 20/7*b**3 = 0.
-2, -1, 2/3
Let k = -1537 + 1541. Find c, given that -3/2*c**3 - 3/2*c + 3*c**5 - 21/4*c**k + 6*c**2 - 3/4 = 0.
-1, -1/4, 1
Suppose 2*g = 3*l + 23, -g - l = -492 + 493. Solve -5/3*z**3 + 35/3*z**2 - 5/3*z**g + 5/3*z - 10 = 0 for z.
-3, -1, 1, 2
Let r(o) be the second derivative of 2*o**7/7 + 116*o**6/15 + 38*o**5 - 300*o**4 + 814*o**3/3 + 484*o**2 - 168*o. Find w, given that r(w) = 0.
-11, -1/3, 1, 2
Let a(n) be the third derivative of -n**5/15 - 2*n**4/3 - 2*n**3 + 108*n**2. Factor a(r).
-4*(r + 1)*(r + 3)
Let x(n) be the first derivative of 1/4*n**2 - 6 - 3/2*n + 1/2*n**3 - 1/8*n**4. Determine r so that x(r) = 0.
-1, 1, 3
Let b be 1 - 11 - (-270)/27. Factor 0*w + 4/3*w**3 - 2/3*w**4 - 2/3*w**2 + b.
-2*w**2*(w - 1)**2/3
Let l(p) be the first derivative of 3*p**5/5 - 6*p**4 + 7*p**3 + 45. Factor l(r).
3*r**2*(r - 7)*(r - 1)
Suppose 0 = -3*g - 39 + 48. Let l(b) be the third derivative of -1/140*b**5 + 3*b**2 + 0 + 0*b - 1/14*b**4 - 3/14*b**g. Find d, given that l(d) = 0.
-3, -1
Let g(i) be the second derivative of -i**5/15 + 8*i**3/3 - 27*i**2/2 + 14*i. Let d(c) be the first derivative of g(c). Factor d(l).
-4*(l - 2)*(l + 2)
Let s = -31 + 50. Let i = 36 - s. Factor 2*r**2 - 4*r + 13 - i + 0*r**2 + 6.
2*(r - 1)**2
Let r(o) be the first derivative of 11*o**4/5 - 23*o**3/15 - 29*o**2/10 + 8*o/5 + 53. Factor r(d).
(d - 1)*(4*d - 1)*(11*d + 8)/5
Let r(b) be the second derivative of -3/100*b**5 + 0 - 26*b + 1/150*b**6 + 0*b**4 + 0*b**2 + 2/15*b**3. Factor r(c).
c*(c - 2)**2*(c + 1)/5
Suppose 0 = -2*s + 5 + 3, -16 = -5*i + s. Let p be (-2)/(-5) - 79/(-10)*i. Factor -64/7 - 28*q**2 - p*q.
-4*(7*q + 4)**2/7
Factor 2/17*w**4 + 18/17*w**2 + 4/17 + 14/17*w + 10/17*w**3.
2*(w + 1)**3*(w + 2)/17
Determine u so that -3*u**3 - 12*u**2 - 9*u**2 - 127*u**4 + 128*u**4 + 20*u + 3*u**3 = 0.
-5, 0, 1, 4
Factor 125*c**2 + 33 - 2*c**3 + 4*c**4 + 49*c + 55*c**2 + 70*c**3 + 123*c + 23.
4*(c + 1)**3*(c + 14)
Let h be (-4)/(-3) - 6 - (3 - 8). Let t(w) be the first derivative of h*w**2 + 0*w - 4 + 7/9*w**3. Find r, given that t(r) = 0.
-2/7, 0
Let g(m) be the second derivative of m**4/6 + 71*m**3/3 - 72*m**2 + 392*m - 1. Factor g(r).
2*(r - 1)*(r + 72)
Suppose -2859*z = -2854*z - 25. Let n(i) be the third derivative of -i**3 - 1/20*i**6 + 3/40*i**z + 0 + 8*i**2 + 0*i + 1/140*i**7 + 1/4*i**4. Factor n(b).
3*(b - 2)**2*(b - 1)*(b + 1)/2
Let w(d) = 2*d**2 - 13*d + 11. Let n be w(6). Factor -2/9*r + 2/9 - 4/9*r**2 + 2/9*r**4 - 2/9*r**n + 4/9*r**3.
-2*(r - 1)**3*(r + 1)**2/9
Let l = -7531/3 + 2513. Factor -l*n**2 + 4*n**4 + 0*n + 0 + 4/3*n**3.
4*n**2*(n + 1)*(3*n - 2)/3
Let h(c) = -2*c**2 - 17*c - 17. Let o be h(-6). Let -4*f**2 + o*f**2 - 11*f**2 - f**2 = 0. Calculate f.
0
Let j(a) = -a**2 + 25*a - 22. Let r be j(24). Let s(b) be the first derivative of -b + 1/6*b**3 + 10 + 1/4*b**r. Factor s(x).
(x - 1)*(x + 2)/2
Let v(d) be the second derivative of -d**5/100 + 2*d**4/15 - 13*d**3/30 + 3*d**2/5 + 99*d. Factor v(s).
-(s - 6)*(s - 1)**2/5
Factor -24/17*f**2 - 64/17 + 2/17*f**3 + 72/17*f.
2*(f - 8)*(f - 2)**2/17
Let r(s) be the second derivative of s**6/10 - 6*s**5/5 - 19*s**4/4 - 5*s**3 - 9*s + 19. Factor r(c).
3*c*(c - 10)*(c + 1)**2
Let c be (-4)/8 + 30/(-8)*(-8)/24. Let v = 583/4 + -145. Suppose 3*r**2 + 9/2*r**3 + 3*r**4 + 0 + v*r + c*r**5 = 0. Calculate r.
-1, 0
Let n(s) = -9*s**4 + 9*s + 6 - s**3 - 2*s**2 - 17 + 3*s**3. Let d(k) = -5*k**4 + k**3 - k**2 + 5*k - 6. Let j(l) = 11*d(l) - 6*n(l). Factor j(b).
-b*(b - 1)*(b + 1)**2
Let d be -6 - 1/3*0. Let w be 2 + 1 + d/2. Find g such that 6*g**4 - 24*g**2 - 6*g**3 + w*g**5 - 21*g + g**5 + 2*g**5 - 6 = 0.
-1, 2
Let x be ((-5)/2)/(4/(-18)*15). Let a(l) be the second derivative of -1/8*l**4 - 3*l - x*l**2 + 0 + 1/2*l**3. Factor a(r).
-3*(r - 1)**2/2
Let b be 23/(-14)*352/(-2024). Factor 1/7*n**3 + 0 + 3/7*n**2 + b*n.
n*(n + 1)*(n + 2)/7
Solve -147/2*r - 153/2*r**2 - 3/2*r**4 - 57/2*r**3 - 24 = 0.
-16, -1
Suppose -13*l**2 - 5*l + 0 - 1/4*l**5 - 7/2*l**4 - 45/4*l**3 = 0. Calculate l.
-10, -2, -1, 0
Let d(j) be the second derivative of -5*j**4/12 + 205*j**3 - 75645*j**2/2 - 23*j - 4. Factor d(o).
-5*(o - 123)**2
Let f(i) be the first derivative of -2*i**7/105 - i**6/10 + 2*i**4/3 + 8*i**2 + 7. Let x(s) be the second derivative of f(s). Factor x(v).
-4*v*(v - 1)*(v + 2)**2
Suppose -2*f + 4*u + 22 - 38 = 0, -3*f + 2*u = 8. Let b(l) be the first derivative of 1 + f*l - l**3 - 3/4*l**4 + 0*l**2. Factor b(m).
-3*m**2*(m + 1)
Suppose -5*n + 0*u - u = -10, 4*u + 29 = 3*n. Let b be ((-1)/n)/((-44)/(-24) - 2). Let 3/4*o**5 - 3/2*o**b - 3/4 + 3/2*o**3 - 9/4*o + 9/4*o**4 = 0. What is o?
-1, 1
Let b(c) = 9*c - 1. Let n be b(1). Suppose 2*i + 4 = -n. Let l(r) = -r**3 - r. Let v(k) = 9*k**3 - 3*k**2 + 3*k + 3. Let w(u) = i*l(u) - v(u). Factor w(p).
-3*(p - 1)**2*(p + 1)
Solve -85*l**2 + 17*l**2 - 3 - 37*l - 42*l**3 - 3 - 612*l**4 + 7*l**5 + 614*l**4 = 0 for l.
-1, -2/7, 3
Let q = 68 - 56. Let o be (-32)/q*27/(-84). Determine s so that -o - 9/7*s**2 + 15/7*s = 0.
2/3, 1
Let u be 5/((25/(-75))/((-2)/5)). Let z(h) be the first derivative of 1/24*h**u + 0*h + 3/8*h**4 + 1/8*h**2 - 1/5*h**5 - 11 - 1/3*h**3. Factor z(x).
x*(x - 1)**4/4
Let t(y) be the second derivative of -y**4/4 + 11*y**3/3 - 5*y**2/2 + 93*y. Let r be t(7). Let -4/5*i**r + 8*i - 20 = 0. What is i?
5
Let p(l) be the third derivative of l**9/336 - l**8/140 + l**7/280 - 13*l**3/2 + 38*l**2. Let n(g) be the first derivative of p(g). Factor n(t).
3*t**3*(t - 1)*(3*t - 1)
Let z(d) be the third derivative of d**5/60 - 3*d**4/8 + 17*d**3/6 + 24*d**2. Let k be z(7). Factor 64*u**k - 24*u**2 - 1/4 - 64*u**4 + 4*u.
-(4*u - 1)**4/4
Factor 4*