5). Find l such that -p*l**2 + 0*l + g = 0.
0
Factor -4/5*o**2 - 4096/5 + 256/5*o.
-4*(o - 32)**2/5
Let w(r) be the second derivative of -2*r**5/15 - 11*r**4/6 - 8*r**3 - 16*r**2/3 - 62*r + 2. Factor w(a).
-2*(a + 4)**2*(4*a + 1)/3
Let b = -5779/3 - -1927. What is f in b*f - 2/3*f**2 + 0 = 0?
0, 1
Factor 22/3*c**2 + 8/3*c + 0 + 8/3*c**4 + 1/3*c**5 + 7*c**3.
c*(c + 1)**2*(c + 2)*(c + 4)/3
Suppose -5*t = 99 - 109. Let q(z) be the first derivative of 4 + 0*z - 1/3*z**3 + 0*z**t. Factor q(s).
-s**2
Suppose 0*k + 2*k + 507 = 3*y, 3*y + 2*k - 519 = 0. Let u be (-76)/y*3/(-5). Factor 0 + 2/5*n**2 - 2/15*n**4 + 0*n**3 + u*n.
-2*n*(n - 2)*(n + 1)**2/15
Let z = 492 - 492. Factor -2/3*c**4 - 1/3*c + 0*c**3 + z + 2/3*c**2 + 1/3*c**5.
c*(c - 1)**3*(c + 1)/3
Let v(i) be the second derivative of 29*i + 0*i**4 + 0*i**2 - 3/160*i**5 - 1/112*i**7 + 0 + 0*i**3 + 1/40*i**6. Suppose v(z) = 0. Calculate z.
0, 1
Let u(s) be the first derivative of -s**5/10 - s**4/8 + s**3/2 + 5*s**2/4 + s + 56. Factor u(v).
-(v - 2)*(v + 1)**3/2
Suppose -5*s + 24 = -4*z, -3*s + 19*z = 14*z - 30. Factor -1/6*g**2 + s*g + 2/3.
-(g - 2)*(g + 2)/6
Solve -32/3*x**5 - 4/9*x - 46/9*x**2 - 272/9*x**4 - 182/9*x**3 + 0 = 0 for x.
-2, -1/3, -1/4, 0
Let o be (8 - 171/21)/((8/12)/(-2)). Find q, given that -o*q**2 - 3/7*q**3 + 0 + 0*q = 0.
-1, 0
Let u(m) be the first derivative of m**6/16 - 9*m**5/40 + 3*m**4/32 + 3*m**3/8 - 3*m**2/8 + 57. Determine w so that u(w) = 0.
-1, 0, 1, 2
Let g(z) be the second derivative of 0 - 3*z**4 - 1/15*z**6 - 8*z**2 - 7/10*z**5 - 31*z - 20/3*z**3. Factor g(m).
-2*(m + 1)*(m + 2)**3
Let v(c) be the second derivative of 0*c**2 + 1/34*c**4 - c - 1/255*c**6 + 0*c**5 + 2/51*c**3 + 0. Factor v(u).
-2*u*(u - 2)*(u + 1)**2/17
Suppose -4*w + 14*j - 18*j + 28 = 0, 3*w = -j + 11. Let -12/5*l**w + 9/5*l**4 - 6/5*l + 3/5 + 6/5*l**3 = 0. What is l?
-1, 1/3, 1
Let c(k) = -k**3 + 21*k**2 + k - 17. Let r be c(21). Factor -572*x - 37*x**3 - 64*x**2 - 7*x**r - 6 + 537*x + 5*x**2.
-(x + 1)**2*(x + 3)*(7*x + 2)
Let j(m) be the first derivative of -32*m**5/5 + 31*m**4 - 112*m**3/3 - 8*m**2 + 63. Solve j(a) = 0 for a.
-1/8, 0, 2
Suppose 0 = -l + 4, -4*s + 0*s + 3*l = 0. Let f(a) be the first derivative of 18*a + 6*a**2 + 2/3*a**s - 1. Solve f(j) = 0 for j.
-3
Suppose 37 = -2*a + 41. Find n such that -12*n**5 + 16*n**4 - 4*n**a - 12*n**3 + 2*n**5 + 10*n**3 = 0.
-2/5, 0, 1
Let b(x) be the first derivative of x**7/1050 + x**6/300 + x**5/300 - 15*x**2/2 - 15. Let k(h) be the second derivative of b(h). Factor k(u).
u**2*(u + 1)**2/5
Factor -183 + 8*y**2 + 18 + 69 + 4*y**4 + 23*y - 20*y**3 + 57*y.
4*(y - 3)*(y - 2)**2*(y + 2)
Factor 3/10 - 2/5*q + 1/10*q**2.
(q - 3)*(q - 1)/10
Let w(v) = v**3 - 3*v**2. Let s(h) = -h**3 + 8*h**2 - 5. Let p(l) = -l**3 + 9*l**2 - 6. Let j(z) = 5*p(z) - 6*s(z). Let k(r) = 3*j(r) - 4*w(r). Factor k(f).
-f**2*(f - 3)
Let m(x) be the first derivative of x**7/210 - x**6/120 - 3*x**5/40 - x**4/12 - 11*x**3/3 - 4. Let f(v) be the third derivative of m(v). Factor f(g).
(g - 2)*(g + 1)*(4*g + 1)
Let u = 34 - 32. Let 453*x**2 + 59*x**u + 1276*x**3 - 484*x**4 + 63*x - 15*x = 0. What is x?
-2/11, 0, 3
Let m = 4 + 0. Suppose -2*q + 24 = 16. Factor 3*g**m - 2*g**5 - 2*g**q - 4*g**4 + g**4.
-2*g**4*(g + 1)
Let f = 61 - 53. Let w be 3/(-36)*-9 - 6/f. Factor -2/9 + 2/9*k**2 + w*k.
2*(k - 1)*(k + 1)/9
Let n(m) = -13*m**3 + 36*m**2 - 14*m - 12. Let t(c) = -144*c**3 + 396*c**2 - 154*c - 132. Let v(q) = 68*n(q) - 6*t(q). Find y such that v(y) = 0.
-2/5, 1, 3
Find f, given that -607*f + 13*f**2 + 5*f**3 + 587*f + 2*f**2 = 0.
-4, 0, 1
Let l(m) = m**2 - 8*m + 4. Let w be l(5). Let b = w + 14. Factor -2*s**3 + 0*s**2 + s**2 - 2*s**2 + b*s**2.
-2*s**2*(s - 1)
Find j, given that -4/7*j**3 - 4/7*j - 16/7*j**2 + 24/7 = 0.
-3, -2, 1
Let 5/6*s + 1/6*s**2 - 1 = 0. What is s?
-6, 1
Let p = 12541 + -87751/7. Factor p*v - 2/7*v**2 - 162/7.
-2*(v - 9)**2/7
Let w(q) be the third derivative of -6*q**2 + 0*q**3 + 0*q - 1/270*q**5 - 7/108*q**4 + 0. Suppose w(d) = 0. What is d?
-7, 0
Let o = 1345 - 36313/27. Let v(x) be the first derivative of 1/36*x**4 - o*x**3 - 5 - 1/18*x**2 + 2/9*x. Solve v(q) = 0.
-1, 1, 2
Let s be (20/45)/(63/162). Factor 0*h**2 - 2/7*h**3 + 0*h + 0 - s*h**5 + 10/7*h**4.
-2*h**3*(h - 1)*(4*h - 1)/7
Let r(y) be the third derivative of 0*y**3 - 1/5*y**6 + 0*y - 1/14*y**7 - 8 - 1/5*y**5 + 0*y**4 - 1/112*y**8 + 3*y**2. Solve r(g) = 0.
-2, -1, 0
Let u(q) = q**2 - q - 1. Let r(p) = -4*p**2 + 8*p + 9. Let f(b) = r(b) + 3*u(b). Let v be f(5). Find x such that 0*x**2 + 2*x + v*x**2 - 2*x**2 = 0.
-1/2, 0
Let t be (-50)/(-75)*(2 - (-15)/6). Factor 0*p - 3/5*p**2 + 3/5*p**4 + 0 + 0*p**t.
3*p**2*(p - 1)*(p + 1)/5
Solve 21/4*s**3 + 0 - 3/2*s**4 - 3/2*s**2 - 9/4*s = 0.
-1/2, 0, 1, 3
Let c(p) = -2*p**3 - p**2 + 3*p + 1. Let b(m) = 15*m**3 + 890*m**2 + 52200*m + 1026890. Let z(y) = -b(y) - 5*c(y). Factor z(d).
-5*(d + 59)**3
Factor -80 + 48 + k**2 + 50 + 15*k - 4*k**2.
-3*(k - 6)*(k + 1)
Let b(m) be the first derivative of -3 + m**2 - 1/6*m**3 + 0*m. Let b(x) = 0. Calculate x.
0, 4
Let s(j) be the second derivative of 7*j**6/15 - 51*j**5/10 + 35*j**4/3 + 32*j**3 - 32*j**2 - 49*j. What is x in s(x) = 0?
-1, 2/7, 4
Let a(c) = 9*c - 3. Let d be a(1). Suppose -59*z + 59*z + 36*z**4 - 21*z**5 - d*z**2 - 9*z**3 = 0. Calculate z.
-2/7, 0, 1
Factor 78/5*l**3 + 320 - 624*l + 1/5*l**4 + 1441/5*l**2.
(l - 1)**2*(l + 40)**2/5
Let t(b) be the second derivative of b**7/60 - 19*b**6/240 + b**5/15 + b**4/12 - 6*b**2 - 18*b. Let h(y) be the first derivative of t(y). Factor h(v).
v*(v - 2)*(v - 1)*(7*v + 2)/2
Let n(w) be the third derivative of 5*w**8/336 + 2*w**7/21 - 11*w**6/24 - 5*w**5/2 + 6*w**2 + 56. Solve n(b) = 0.
-5, -2, 0, 3
Let g = 30 + -18. Let -2*z + g*z**2 - 10*z**2 + 0*z = 0. What is z?
0, 1
Let q(w) be the first derivative of w**3/3 - 64. Suppose q(v) = 0. Calculate v.
0
Let d(k) = -20*k**2 + 52*k + 12. Let t(v) = 2*v**2 - v. Let p(j) = d(j) + 6*t(j). Factor p(i).
-2*(i - 6)*(4*i + 1)
Find n, given that 0*n - 5*n + 6 - 4*n - 18*n**2 + 21*n**2 = 0.
1, 2
Let m(u) be the second derivative of -u**5/50 - 11*u**4/30 - 8*u**3/3 - 48*u**2/5 + u - 6. Factor m(d).
-2*(d + 3)*(d + 4)**2/5
What is p in 4/3*p + 1/6*p**5 + 1/6*p**4 - 3/2*p**3 - 13/6*p**2 + 2 = 0?
-2, -1, 1, 3
Let z be 1/3*-1 + 220/300. Factor 0*t + 0*t**3 + 2/5*t**4 + z - 4/5*t**2.
2*(t - 1)**2*(t + 1)**2/5
Determine g, given that -32/3*g**3 + 33*g**2 - 1/6*g**4 - 100/3*g + 67/6 = 0.
-67, 1
Let f(j) be the second derivative of -j**9/60480 + j**8/13440 - j**7/10080 + 11*j**4/12 + 8*j. Let a(r) be the third derivative of f(r). What is q in a(q) = 0?
0, 1
Find c, given that -c**3 + 0 - 1/11*c**4 - 24/11*c**2 + 36/11*c = 0.
-6, 0, 1
Let g(v) be the second derivative of v**4/6 - 13*v**3/3 - 6*v**2 + 30*v. Let m(a) = 3*a**2 - 52*a - 23. Let i(d) = 5*g(d) - 2*m(d). Factor i(f).
2*(f - 7)*(2*f + 1)
Let m(c) be the second derivative of -c**7/35 + 7*c**6/60 - c**5/10 - c**4/4 + 2*c**3/3 - 6*c**2 + 22*c. Let y(x) be the first derivative of m(x). Factor y(k).
-2*(k - 1)**3*(3*k + 2)
Let d(a) = -a**2 - 3*a + 2. Let l(u) = 2 - 4 - 5 + 4 + 3*u. Let x(k) = -3*d(k) - 2*l(k). Solve x(w) = 0.
-1, 0
Let r(g) be the first derivative of -1/5*g**2 - 2/25*g**5 + 1/10*g**4 + 32 + 2/15*g**3 + 0*g. Factor r(b).
-2*b*(b - 1)**2*(b + 1)/5
Let h(d) be the third derivative of d**5/100 + 41*d**4/20 + 1681*d**3/10 - 144*d**2. Factor h(f).
3*(f + 41)**2/5
Let l(o) be the first derivative of o**9/16632 - o**7/4620 - 2*o**3 + 13. Let s(h) be the third derivative of l(h). Suppose s(r) = 0. What is r?
-1, 0, 1
Let m(y) be the second derivative of 21*y**4/32 - y**3/8 + 65*y. Find n such that m(n) = 0.
0, 2/21
Let t be ((-36)/6 - -6)/(0 - 1). Let l be t + 46/14 - (8 + -5). Solve -l*m**2 - 2/7 - 4/7*m = 0.
-1
Let p(i) be the third derivative of 1/525*i**7 + 0*i**3 - 4*i + 0 - 1/150*i**5 - 3*i**2 - 1/300*i**6 + 1/60*i**4. Factor p(z).
2*z*(z - 1)**2*(z + 1)/5
Determine x so that 3*x**2 - 80 - x**2 + 50*x - 7*x**2 = 0.
2, 8
Suppose z**2 + 108*z - 13*z**2 + 13*z**2 + 2916 = 0. Calculate z.
-54
Factor 3*z**2 - 12 - 7*z**3 + z**3 + 5*z**3 + 4*z.
-(z - 3)*(z - 2)*(z + 2)
Suppose 205*d + 204*d - 3780 = -221*d. Factor -d*b + 16/3 + 2/3*b**2.
2*(b - 8)*(b - 1)/3
Let c(l) be the third deriva