 16. Let j be o(-4). Factor 3*n**4 + 15*n**3 - 7*n**4 + 9*n + 21*n**2 + 7*n**j.
3*n*(n + 1)**2*(n + 3)
Let v(a) = 5*a - 125. Let t be v(26). Let k(p) be the first derivative of 0*p + 2/11*p**2 - 1/11*p**4 - 4 + 2/33*p**3 - 2/55*p**t. Find b, given that k(b) = 0.
-2, -1, 0, 1
Let x(v) = 3*v**2 - v - 8. Let f(k) = k - 1. Let r(h) = 6*h - 71. Let s be r(12). Let a(u) = s*x(u) - 2*f(u). Factor a(g).
3*(g - 2)*(g + 1)
Let o(h) be the first derivative of -h**5/30 + 3*h**3 + h**2 - 24*h + 52. Let a(x) be the second derivative of o(x). Factor a(f).
-2*(f - 3)*(f + 3)
Let s(q) be the second derivative of 0*q**2 + 0*q**3 - 3*q + 0 - 1/30*q**4. What is o in s(o) = 0?
0
Let c(z) = 11*z**2 - 1147*z - 56386. Let f(d) = -4*d**2 + 382*d + 18794. Let u(a) = -6*c(a) - 17*f(a). Find n, given that u(n) = 0.
-97
Let k(z) be the second derivative of z**5/20 + z**4/3 - 41*z**3/6 + 18*z**2 - 598*z. Suppose k(u) = 0. Calculate u.
-9, 1, 4
Let f(d) be the first derivative of d**5/80 + d**4/24 + 4*d - 7. Let x(j) be the first derivative of f(j). Factor x(y).
y**2*(y + 2)/4
Factor -5/4*i**4 + 1/2*i**3 + 0 + 11/4*i**2 - 2*i.
-i*(i - 1)**2*(5*i + 8)/4
Let s(g) = g**3 + 17*g**2 + 18*g + 35. Let d be s(-16). Factor 2 - 26*a**d + 15*a**2 + 11*a**2 - 26*a + 82*a**3 + 2.
2*(a + 1)*(4*a - 1)*(7*a - 2)
Let z(i) = 5*i**4 + 11*i**3 - 11*i**2 - 2*i - 3. Let o(k) = 15*k**4 + 31*k**3 - 31*k**2 - 7*k - 8. Let l(g) = -3*o(g) + 8*z(g). Factor l(u).
-5*u*(u - 1)*(u + 1)**2
Let o(p) be the second derivative of p**5/4 - 35*p**3/6 - 15*p**2 - 3*p - 15. Find w such that o(w) = 0.
-2, -1, 3
Let h(j) = 7*j**3 - 5*j**2 + 10*j - 3. Let c(k) = -2*k**3 - k. Let w(y) = -3*c(y) - h(y). Factor w(x).
-(x - 3)*(x - 1)**2
Determine d, given that -8/5*d**3 + 0 - 2/5*d**4 - 2/5*d**2 + 12/5*d = 0.
-3, -2, 0, 1
Let a(b) be the first derivative of -b**6/24 + 3*b**5/20 + 3*b**4/2 + 7*b**3/3 + 67. Let a(n) = 0. What is n?
-2, 0, 7
Let k(u) be the second derivative of u**4/48 + u**3/6 + 3*u**2/8 - 2*u - 97. Factor k(j).
(j + 1)*(j + 3)/4
Let q = -2 - -17. Let r = q - 13. Factor -4*o**r + 28*o**2 - 12*o + 14*o**3 - 23*o**3.
-3*o*(o - 2)*(3*o - 2)
Let s be 3/((-1)/(6/(-9))). Factor 3*u + 3*u**3 - 5*u**2 - u**2 - u**2 + u**s.
3*u*(u - 1)**2
Let c = 287/10 + -57/2. Let f = 13/2 + -63/10. Factor -2/5*p - f - c*p**2.
-(p + 1)**2/5
Let m be 3/(99/5) + (-98)/(-539). Factor -m + 1/6*o**2 + 1/6*o.
(o - 1)*(o + 2)/6
Let h(i) be the second derivative of 5/2*i**2 + 0 + 1/20*i**5 - 2/3*i**3 + 5*i + 1/6*i**4. Let y(q) be the first derivative of h(q). Let y(n) = 0. Calculate n.
-2, 2/3
Factor 65*z - 35 + 175*z**3 + 255*z**2 + 41*z**4 - 77*z**4 + 32*z**4 + 24*z**4.
5*(z + 1)**2*(z + 7)*(4*z - 1)
Determine g, given that -2/11*g**2 + 18/11*g - 36/11 = 0.
3, 6
Let l(v) be the third derivative of 1/9*v**4 - 26*v**2 + 0 - 1/45*v**5 + 0*v + 2/3*v**3. Find o such that l(o) = 0.
-1, 3
Let t(h) = 5*h + 12. Let s be t(-2). Suppose -s*n - 18 = -5*c - 6*n, -c + n = 0. Solve b + 1/2 + 1/2*b**c = 0.
-1
Let z = 11 + -13. Let o be 15/(-10)*z/(-6)*-10. Factor 5/2*k**4 + 7/2*k**2 - 1/2*k**o - 9/2*k**3 + 0 - k.
-k*(k - 2)*(k - 1)**3/2
Let a be (9 + (-530)/60)/(1/18). Find x, given that -20/3*x**a + 4/3*x - 4/3*x**2 + 0 - 4*x**4 = 0.
-1, 0, 1/3
Let n(g) be the first derivative of -g**5/12 + 5*g**4/8 - 10*g**2 - 20. Let d(z) be the second derivative of n(z). Factor d(o).
-5*o*(o - 3)
Let q(j) be the second derivative of -2*j**7/21 + 4*j**6/5 - 8*j**5/5 - 2*j**4/3 + 6*j**3 - 8*j**2 - j - 29. Determine a, given that q(a) = 0.
-1, 1, 4
Let z be (6 + 128/(-20))/((-6)/15). Let x be ((-36)/90)/(z + (-6)/5). Determine t, given that -30/11*t**x + 2/11*t**3 + 150/11*t - 250/11 = 0.
5
Let v(g) be the third derivative of g**6/600 + g**5/50 + 72*g**2 + 2*g. Suppose v(n) = 0. Calculate n.
-6, 0
Let l = -37 - -42. Factor 15*h + l*h**3 + 14*h**2 + 6*h**2 + 2 - 5*h**2 + 3.
5*(h + 1)**3
Find w, given that 33/7*w**4 - 138/7*w - 9/7*w**5 + 423/7*w**2 - 216/7 + 387/7*w**3 = 0.
-4, -1, 2/3, 9
Determine q, given that 7*q**2 - 8*q**4 - 7*q**4 + 11*q**4 - 3 + 11*q**3 - 16*q + 5*q = 0.
-1, -1/4, 1, 3
Let j = 44379 - 44379. Factor 10/13*n**2 + 12/13*n + 2/13*n**3 + j.
2*n*(n + 2)*(n + 3)/13
Suppose 0 = 4*q - 5*x - 10, q = -2*q - x - 2. Let m be 25/15 + 5/15 + q. Solve 4/3*f**m + 8/3 - 4*f = 0 for f.
1, 2
Let f(i) be the first derivative of 9*i**6/2 + 21*i**5/5 - 3*i**4/2 + 27. Factor f(n).
3*n**3*(n + 1)*(9*n - 2)
Let p be 48/26 + 4/26. Let r be (-2)/11 + (-12)/(-33). Factor -r*l**3 - 4/11 - 8/11*l**p - 10/11*l.
-2*(l + 1)**2*(l + 2)/11
Let n = 4645/37032 - 2/4629. Factor 3*g**3 + 1/2*g - 29/8*g**2 + n.
(g - 1)*(3*g - 1)*(8*g + 1)/8
Let w(g) = -23*g**2 - 2*g + 2. Suppose -3*s - 84 = -4*y - 4*s, -5*y = -3*s - 105. Let p(m) = 70*m**2 + 6*m - 7. Let u(q) = y*w(q) + 6*p(q). Factor u(c).
-3*c*(21*c + 2)
Let h(u) = -u**2 - 13*u. Let a be h(-12). Factor -74*c**3 + 60*c**2 + 40*c**4 - 51*c + 21*c + a*c - 8*c**5.
-2*c*(c - 1)**2*(2*c - 3)**2
Let n(k) be the second derivative of -k**5/30 + k**4/3 - k**2/2 - 12*k. Let t(y) be the first derivative of n(y). Solve t(s) = 0 for s.
0, 4
Let f = -22271/3 - -7425. Find k such that f*k + 0 + 5/3*k**2 + 1/3*k**3 = 0.
-4, -1, 0
Suppose 0*v + 12*v**2 + 0 - 2/11*v**3 = 0. What is v?
0, 66
Suppose -4*s = -5*s + 2. Suppose 0 = -b - b - 4*m + s, -3*b = -3*m - 12. Suppose 11*z**5 - 4 - 4*z**b + 2*z**4 + 4 - 9*z**5 = 0. What is z?
-2, 0, 1
Let n(i) be the third derivative of -i**8/168 - 4*i**7/105 - i**6/12 - i**5/15 - 163*i**2. Let n(a) = 0. What is a?
-2, -1, 0
Find z, given that -4*z - 2/3*z**2 + 0 + 2/3*z**3 = 0.
-2, 0, 3
Let w(h) = -h**3 - 4*h**2 + 2*h - 9. Let u be w(-5). Factor -3*q**5 - 2 - 11*q**4 + u*q**2 + q**4 + 4*q**3 - q + 6*q**4.
-(q - 1)*(q + 1)**3*(3*q - 2)
Solve -2/11*n**3 - 10/11*n + 16/11*n**2 - 100/11 = 0.
-2, 5
Let w(z) be the second derivative of z**7/5040 + z**6/720 + z**5/240 - 17*z**4/12 - 9*z. Let x(a) be the third derivative of w(a). What is b in x(b) = 0?
-1
Let t = -206 + 211. Let a(x) be the second derivative of 7/10*x**6 + 0 - 5*x - 39/10*x**t - 2*x**3 - 6*x**2 + 27/4*x**4. Factor a(v).
3*(v - 2)*(v - 1)**2*(7*v + 2)
Let c be (-2 + (4 - 2))*((-1)/(-2) + -1). Solve 14/11*q**2 - 8/11*q**4 + c + 4/11*q - 10/11*q**3 = 0.
-2, -1/4, 0, 1
Factor 2/13*q**2 + 392/13 + 56/13*q.
2*(q + 14)**2/13
Let p(x) = 9*x**2 - 54*x - 6. Let q(w) = 2*w**2 - w - 1. Let z(o) = p(o) - 6*q(o). Let z(l) = 0. Calculate l.
-16, 0
Let d = -288 - -1715/6. Let m = 8/3 + d. Factor r**3 + 0 - 1/2*r**2 - r + m*r**4.
r*(r - 1)*(r + 1)*(r + 2)/2
Let c = -15028/9 - -1670. Factor 0 - c*f**2 - 2/9*f.
-2*f*(f + 1)/9
Suppose -45/4*f + 0 - 3/4*f**2 = 0. Calculate f.
-15, 0
Let w(j) be the second derivative of j**7/84 - j**6/20 + j**5/40 + j**4/8 - j**3/6 - j - 18. Factor w(v).
v*(v - 2)*(v - 1)**2*(v + 1)/2
Suppose 4*p - 8 = z, -5*p + 0*p = -2*z - 7. Let d = -13283/5 + 2657. Suppose 0*j + 0*j**p + 2/5*j**4 - d*j**2 + 0 = 0. Calculate j.
-1, 0, 1
Let v = 33986/7 + -4854. Determine k, given that 8*k - 102/7*k**2 + 54/7*k**3 - v = 0.
2/9, 2/3, 1
Solve 0 - 4*n + 2/3*n**3 - 2/3*n**2 = 0.
-2, 0, 3
Suppose 4*x = 3*x + 10. Suppose -24 + 18*f + 5*f**5 - 20*f**3 - 3*f + 14 + x*f**2 = 0. Calculate f.
-2, -1, 1
Let b = -2676/19 - -34826/247. Suppose 2/13*v**2 + 0*v + 0 - b*v**4 + 0*v**3 = 0. What is v?
-1, 0, 1
Let g(t) be the second derivative of -t**4/48 - 15*t**3/8 + 23*t**2/4 - 26*t. Factor g(k).
-(k - 1)*(k + 46)/4
Suppose 3*r - 9 = -2*i, i + 3*r + 1 = 7. Solve -36/7*z**2 - 26/7*z**4 - 2/7 + 44/7*z**i + 6/7*z**5 + 2*z = 0.
1/3, 1
Let h(v) be the third derivative of v**7/2205 + v**6/210 - v**5/18 + 4*v**4/21 - 20*v**3/63 - 4*v**2 - 20*v. Suppose h(y) = 0. What is y?
-10, 1, 2
Let b be 4 - (6 - (5 - 0)). Let -8/5 + 8*r - 14/5*r**2 - 18/5*r**b = 0. Calculate r.
-2, 2/9, 1
Let t be (-35)/(-8) + (27 - 39) + 11. Solve 9/2*p - 9/2*p**3 - 15/8*p**2 + t*p**4 - 3/2 = 0.
-1, 2/3, 1
Let i be 4/22 - 504/(-154). Let n = 256/55 - i. Suppose -6/5*h + n*h**3 - 3/5*h**4 + 3/5 + 0*h**2 = 0. Calculate h.
-1, 1
Let j(b) be the second derivative of b**4/24 + b**3/3 + 3*b**2/4 + 3*b - 17. Solve j(z) = 0 for z.
-3, -1
Let l(y) be the first derivative of 3*y**5/10 - 3*y**3 - 6*y**2 - 9*y/2 + 134. Find t, given that l(t) = 0.
-1, 3
Let j(x) be the second derivative of -5/2*x**5 + 8*x**2 + 19/