l = 221/4 + -54. Let g(w) be the first derivative of -1/5*w**5 - 7/2*w**2 - 3*w**3 + 4 - l*w**4 - 2*w. Factor g(s).
-(s + 1)**3*(s + 2)
Determine m so that 7/6*m**5 + 44/3*m**2 - 4/3*m**3 - 23/6*m**4 - 40/3*m + 8/3 = 0.
-2, 2/7, 1, 2
Let k(h) be the third derivative of -h**5/60 - 5*h**4/24 + h**3/3 - 2*h**2. Let w be k(-5). Let 3*i**2 - 3*i + 11*i**w - 17*i**2 = 0. Calculate i.
-1, 0
Let n(z) = 650*z**4 + 675*z**3 + 80*z**2 - 55*z + 55. Let i(q) = -24*q**4 - 25*q**3 - 3*q**2 + 2*q - 2. Let y(m) = -55*i(m) - 2*n(m). Factor y(o).
5*o**2*(o + 1)*(4*o + 1)
Let 8*k**5 + 6*k**2 - 24*k - 11*k**3 - 6*k**4 - 2*k**5 + 38*k**3 - 9*k**5 = 0. Calculate k.
-4, -1, 0, 1, 2
Let a(v) be the second derivative of v**4/72 + 7*v**3/18 - 5*v**2/4 - 26*v. Factor a(i).
(i - 1)*(i + 15)/6
Let i = 41 - 41. Let i*g**4 - 7*g**3 + 12*g**4 + 8*g**2 - 13*g**3 = 0. What is g?
0, 2/3, 1
Let d(s) be the second derivative of -3*s**5/40 + 29*s**4/4 - 224*s**3 + 1176*s**2 + 139*s. Factor d(l).
-3*(l - 28)**2*(l - 2)/2
Let p = -102 + 110. Let k be (p/30)/(-7 + 148/20). Let 4/3 - 8/3*h**2 + 4/3*h**4 + 4/3*h**3 - 2/3*h - k*h**5 = 0. Calculate h.
-1, 1, 2
Let d(s) be the first derivative of -s**4/2 + 6*s**3 - 15*s**2 - 50*s - 160. Solve d(a) = 0 for a.
-1, 5
Suppose -c + 7 = 2*m, -3*m + 4*c - 4 - 2 = 0. Factor -5*p**2 + 9*p**m - 5*p**2 - 4 + 4*p.
-(p - 2)**2
Let u(y) = -2*y + 38. Let g be u(19). Find m, given that 6*m - 4*m**2 + g*m + 2*m = 0.
0, 2
Factor 68*v**2 + 24*v - 1 + 68*v**3 - 26*v**4 + 54*v**4 + 4*v**5 + 1.
4*v*(v + 1)**2*(v + 2)*(v + 3)
Let b be 237/630 - (1 + 12)/39. Let h(g) be the second derivative of -2/21*g**3 + 0 + 0*g**2 - 13*g + b*g**5 - 1/42*g**4. Find r such that h(r) = 0.
-2/3, 0, 1
Let c(w) = 9*w**2 - 3*w - 3. Let n(m) = -11*m**2 + 4*m + 4. Let i(g) = 4*c(g) + 3*n(g). Factor i(b).
3*b**2
Factor 44/5 - 24/5*b**2 + 18/5*b + 2/5*b**3.
2*(b - 11)*(b - 2)*(b + 1)/5
Let u(z) be the first derivative of -z**3 - 3*z**2/2 + 18*z - 50. Let u(g) = 0. What is g?
-3, 2
Factor 18*d**3 + d**5 + 18*d + 18*d**3 - 17*d**4 + 7*d**4 + 14*d - 56*d**2.
d*(d - 4)*(d - 2)**3
Let u = -6201 + 6206. Let 0 + 0*t + 0*t**2 - 4/3*t**4 - 2/3*t**3 - 2/3*t**u = 0. What is t?
-1, 0
Let m(i) be the second derivative of i**5/10 + i**4/2 + i**3 + i**2 + 3*i - 32. Suppose m(c) = 0. Calculate c.
-1
Let k(c) = -9*c. Let t be k(-1). Suppose -t*s + s = -16. Determine v, given that -2/11*v**s + 8/11 + 0*v = 0.
-2, 2
Let d(k) be the first derivative of -k**5/4 - 3*k + 1. Let f(a) be the first derivative of d(a). Factor f(x).
-5*x**3
Let r(u) = -1. Let f(z) = -3 + z**3 - 3*z + 6 - 1 + 4*z + 4*z**2. Let v(y) = 3*f(y) + 24*r(y). Factor v(l).
3*(l - 1)*(l + 2)*(l + 3)
Factor -83613*k + 83963*k + 2411 + 3714 + 5*k**2.
5*(k + 35)**2
Factor 4461*n**3 - 4458*n**3 - 28*n**2 - 5*n**2.
3*n**2*(n - 11)
Let i(c) = c**3 - 11*c**2 + 28*c + 16. Let p be i(6). Factor 1/6*b**2 + 0 - 1/6*b**p - 1/6*b**5 + 0*b + 1/6*b**3.
-b**2*(b - 1)*(b + 1)**2/6
Factor -75/4*b**2 + 85/2*b + 0 - 5/4*b**3.
-5*b*(b - 2)*(b + 17)/4
Let d(f) be the third derivative of f**5/180 + 13*f**4/18 + 338*f**3/9 + 132*f**2. Factor d(t).
(t + 26)**2/3
Let b(u) be the first derivative of 2*u**3/33 - 49*u**2/11 + 96*u/11 + 77. Factor b(a).
2*(a - 48)*(a - 1)/11
Let b(i) be the third derivative of -i**5/20 - 7*i**4/8 + 9*i**3 + 281*i**2. Let b(t) = 0. Calculate t.
-9, 2
Factor 22*b**2 + 512*b + 52*b**2 + 144 - 46*b**2.
4*(b + 18)*(7*b + 2)
Let m(o) be the third derivative of -o**8/84 - 82*o**7/105 - 71*o**6/6 + 1321*o**5/15 - 704*o**4/3 + 968*o**3/3 - 2*o**2 + 56*o. Factor m(r).
-4*(r - 1)**3*(r + 22)**2
Let x(o) be the first derivative of o**4/2 - 4*o**3/27 - 361. Let x(l) = 0. Calculate l.
0, 2/9
Let w(s) be the second derivative of s**5/80 - s**4/16 + s**3/8 - s**2/8 + 3*s + 5. Let w(b) = 0. What is b?
1
Let w(u) be the first derivative of -2*u**5/25 - 13*u**4/10 - 14*u**3/3 + 49*u**2/5 - 97. What is h in w(h) = 0?
-7, 0, 1
Let y(m) = -3*m**4 + 18*m**3 + 50*m**2 + 88*m + 58. Let h(n) = n**4 - 9*n**3 - 26*n**2 - 44*n - 28. Let b(a) = 5*h(a) + 2*y(a). Factor b(c).
-(c + 2)**3*(c + 3)
Let f(s) be the second derivative of s**9/143640 - s**7/7980 - s**6/3420 + s**4/6 + 9*s. Let x(q) be the third derivative of f(q). Factor x(y).
2*y*(y - 2)*(y + 1)**2/19
Let f be 2/16*(-320)/(-5880). Let h(q) be the second derivative of -12*q + 0 + 1/35*q**5 - 1/21*q**4 + f*q**7 - 1/7*q**2 - 1/7*q**3 + 1/35*q**6. Factor h(k).
2*(k - 1)*(k + 1)**4/7
What is f in 60/17*f - 26/17*f**2 - 2/17*f**3 + 0 = 0?
-15, 0, 2
Suppose 12*m = 21*m - 27. Let n(c) be the first derivative of -3/25*c**5 + 2/5*c**m - 3/10*c**4 + 1/10*c**6 + 10 - 3/5*c + 3/10*c**2. Find j such that n(j) = 0.
-1, 1
Let k be 16/64*(-1 + 3)/1. Factor -r**2 + 0 - 1/2*r - k*r**3.
-r*(r + 1)**2/2
Let p be (9 + 0)/(-9)*-3*1. Let y(m) be the first derivative of 6/5*m**2 + 1 + 18/5*m + 2/15*m**p. Factor y(d).
2*(d + 3)**2/5
Let r(z) be the third derivative of -2*z**5/165 + 233*z**4/132 - 58*z**3/33 - 119*z**2. Factor r(t).
-2*(t - 58)*(4*t - 1)/11
Find b, given that 0*b**4 + 4/3*b**3 - b - 2/3*b**2 - 1/3*b**5 + 2/3 = 0.
-2, -1, 1
Let q(p) = -p**2 + 11*p - 13. Let v be q(9). Factor 10*g**4 + 2*g**v - 7*g**5 + 0*g**3 - 5*g**3.
-5*g**3*(g - 1)**2
Let t(z) = -z**2 + 19*z - 39. Let p be t(16). Solve 8*i + 2*i**5 - 13*i**3 - 6*i + p*i**3 = 0.
-1, 0, 1
Find j such that 204/5*j + 9/5 + 1156/5*j**2 = 0.
-3/34
Let y = -4671 + 4673. Factor 0 + 1/2*j**y - j.
j*(j - 2)/2
Let z(y) = -5*y**4 - 29*y**3 + 44*y**2 + 64*y + 4. Let c(l) = 55*l**4 + 320*l**3 - 485*l**2 - 705*l - 45. Let d(g) = 4*c(g) + 45*z(g). Factor d(u).
-5*u*(u - 2)*(u + 1)*(u + 6)
Let f(r) = -r + 5. Let z be f(6). Let o = 4 + z. Factor 4*w**4 + 3*w**3 - 2*w**4 - 4*w + 4*w**4 - 16*w**o - w**5 + 12*w**2.
-w*(w - 2)**2*(w - 1)**2
Let j(g) be the first derivative of -2*g**6/3 + 24*g**5/5 - 13*g**4 + 16*g**3 - 8*g**2 + 128. What is x in j(x) = 0?
0, 1, 2
Let b(p) = p**4 - p**2 + 1. Let l(q) = q**5 - 10*q**4 + 38*q**3 - 54*q**2 + 33*q - 6. Let n(k) = -6*b(k) + 3*l(k). Determine z so that n(z) = 0.
1, 8
Let o(b) be the first derivative of 0*b - 2 - 1/5*b**3 - 3/5*b**4 + 0*b**2. Factor o(l).
-3*l**2*(4*l + 1)/5
Let c(v) = -v + 10. Let k be c(5). Let a(d) be the third derivative of 0 - 9*d**2 - 5/6*d**4 + 1/30*d**k + 0*d + 25/3*d**3. Solve a(j) = 0.
5
Let u(b) be the first derivative of -2/33*b**3 + 2/11*b + 58 - 4/11*b**2 + 2/11*b**4. Factor u(c).
2*(c - 1)*(c + 1)*(4*c - 1)/11
Factor 9*c**2 - 32*c**2 + 7*c**2 - 29*c + 135 + 11*c**2 + 159*c.
-5*(c - 27)*(c + 1)
Let c(s) be the second derivative of -9*s**5/10 + 91*s**4/6 - 91*s**3/3 + 9*s**2 + 440*s. Factor c(y).
-2*(y - 9)*(y - 1)*(9*y - 1)
Let u(y) be the second derivative of 5*y**7/42 + y**6/6 - 3*y**5/4 - 25*y**4/12 - 5*y**3/3 + 84*y. Factor u(r).
5*r*(r - 2)*(r + 1)**3
Let h be ((-2)/5)/(178/(-2225)). Suppose h*b**3 - 10/3*b**4 - 10/3*b**2 + 5/6*b + 5/6*b**5 + 0 = 0. Calculate b.
0, 1
Let u(n) be the third derivative of -n**7/168 - 11*n**6/96 - n**5/2 + 15*n**4/8 + 15*n**2. Factor u(p).
-5*p*(p - 1)*(p + 6)**2/4
Suppose 0 = -19*w + 39*w - 40. Factor 2/15*s**4 + 8/15*s**3 + 0*s + 8/15*s**w + 0.
2*s**2*(s + 2)**2/15
Let q(l) = 30*l**3 - 5*l**2 - 30*l + 9. Let d(p) = 90*p**3 - 15*p**2 - 90*p + 26. Let v(f) = 4*d(f) - 11*q(f). Factor v(n).
5*(n - 1)*(n + 1)*(6*n - 1)
Let d(y) be the third derivative of 0*y - 1/12*y**6 + 0*y**3 + 4/105*y**7 + 0*y**4 - 1/168*y**8 + 1/15*y**5 + 3*y**2 + 0. Solve d(s) = 0 for s.
0, 1, 2
Let u(m) be the second derivative of -1/8*m**5 + 0 - 9/4*m**3 + 1/120*m**6 + 27/8*m**2 + 17*m + 3/4*m**4. Factor u(w).
(w - 3)**3*(w - 1)/4
Let p(y) = -y**4 - y**3 - 1. Let l(j) = -9*j**3 - 9*j**2 + 12*j + 15. Let u(w) = l(w) + 3*p(w). Factor u(d).
-3*(d - 1)*(d + 1)*(d + 2)**2
Let r be (8/100)/(18/(-2740)). Let j = r + 62/5. Find k such that 2/9*k**2 + j*k + 0 = 0.
-1, 0
Let u(l) be the first derivative of 4/21*l**3 - 5 - 6/7*l + 5/7*l**2. Suppose u(o) = 0. What is o?
-3, 1/2
Let i(o) = 19*o**3 - 16*o**2 - 7. Let s(u) = -16*u**3 + 14*u**2 + 6. Let c(j) = -6*i(j) - 7*s(j). Determine a, given that c(a) = 0.
-1, 0
Find g, given that 0 + 12/11*g**2 + 2/11*g**3 + 16/11*g = 0.
-4, -2, 0
Let t be (2*-1)/(2*(-5)/130). Factor -15*j - 5*j**3 - 478 - 11*j**2 + 483 + t*j**2.
-5*(j - 1)**3
Let 21*n**2 + 12*n**2 - 10 - 3*n**2 -