**3.
3*(o - 1)*(o + 1)**2*(o + 3)/7
Let z(f) = -4 + 46*f + 30*f**2 + 38*f**3 - 5 + 52*f**2 + 13. Let p(d) = -d**2. Let l(h) = 2*p(h) + z(h). Solve l(j) = 0 for j.
-1, -2/19
Factor 12 - 60*v + 16 - 8 + 55*v**2 - 15*v**3.
-5*(v - 2)*(v - 1)*(3*v - 2)
Let i be 1 + (-1)/2 - 15/(-10). Let d be -3*(-4)/18 + 155/(-465). Solve 2/3*p - 1/3*p**i - d = 0 for p.
1
Solve -23*i**4 + 2*i**5 + 10*i**3 + 4 + 3*i**5 - 15*i + 10*i**2 + 8*i**4 + 1 = 0 for i.
-1, 1
Suppose -6*o + 3 = -5*o. Let n(d) be the first derivative of -7/3*d**o - 5 + 0*d + d**2 + 3/4*d**4. Determine a, given that n(a) = 0.
0, 1/3, 2
Let d(r) be the third derivative of -r**6/300 - 13*r**5/150 + 7*r**4/30 + 112*r**2. Find k, given that d(k) = 0.
-14, 0, 1
Let g = -2595/2 - -1298. Let 1/2*i**3 + g - 1/2*i**2 - 1/2*i = 0. Calculate i.
-1, 1
Let f = -36 + 47. Let s**3 + 12*s**4 + 10*s - 25*s**4 - 5*s**2 - f*s**3 + 18*s**4 = 0. Calculate s.
-1, 0, 1, 2
Let f(s) = -15*s + 49. Let t be f(13). Let o = t + 148. Factor 1/3*y**o - 2/3 - 1/3*y.
(y - 2)*(y + 1)/3
Let d = -18426/5 + 3686. Factor 16/5*j - d*j**4 + 0 + 16/5*j**2 - 4/5*j**3.
-4*j*(j - 2)*(j + 1)*(j + 2)/5
Let w(m) be the second derivative of 1/5*m**2 + 5*m - 1/25*m**6 - 1/25*m**5 + 1/15*m**4 + 1/5*m**3 + 0 - 1/105*m**7. Factor w(v).
-2*(v - 1)*(v + 1)**4/5
Let v(n) be the first derivative of n**3/9 + 5*n**2/3 + 3*n + 8. Factor v(z).
(z + 1)*(z + 9)/3
Let l = 0 - -2. Let c = -39/547 - -3555/3829. Factor 2/7*x**l + 4/7 - c*x.
2*(x - 2)*(x - 1)/7
Suppose -i + 0*i - 4*d = 12, -2*d = 8. What is m in 3 - 3 - i*m**2 + 0 - 8*m = 0?
-2, 0
Let l(i) be the second derivative of -27*i**5/100 - 84*i**4/5 + 227*i**3/10 - 57*i**2/5 + 2*i - 83. Factor l(h).
-3*(h + 38)*(3*h - 1)**2/5
Suppose 7*c = 17*c. Find q, given that -6*q**2 + 0*q + 0 + 3/2*q**5 + 9/2*q**4 + c*q**3 = 0.
-2, 0, 1
Let n(u) be the first derivative of -3*u**2 + 15/2*u - 18 - 1/2*u**3. Factor n(w).
-3*(w - 1)*(w + 5)/2
Let g be (26 - 32)*2/(-4). Let q be ((-1 + -1)/2)/(g + -8). Factor 2/5*n**3 - 2/5*n - 1/5*n**4 + q + 0*n**2.
-(n - 1)**3*(n + 1)/5
Let z(i) = i**2 - 113*i - 14. Let d(g) = -56*g - 8. Let f(k) = -7*d(k) + 4*z(k). Factor f(u).
4*u*(u - 15)
Factor 80/3 + 80/3*a - 5/3*a**3 - 5/3*a**2.
-5*(a - 4)*(a + 1)*(a + 4)/3
Suppose -1 = -3*b + 5. Let d be (b/4)/((-10)/(-40)). Let f**2 - d*f**3 + 18*f**3 + 2*f**2 + f**2 = 0. Calculate f.
-1/4, 0
Let s(w) be the third derivative of 1/72*w**4 - 1/120*w**5 + 0*w**6 + 0*w**3 - 27*w**2 + 0*w + 1/1260*w**7 + 0. Solve s(g) = 0 for g.
-2, 0, 1
Let i(z) = 100*z**4 - 265*z**3 - 505*z**2 + 170*z - 40. Let x(l) = 2*l**4 - l**3 - l**2 + l - 1. Let j(h) = -i(h) + 40*x(h). Let j(w) = 0. What is w?
-2, 0, 1/4, 13
Let m(k) be the third derivative of k**6/300 + 4*k**5/75 + 17*k**4/60 + 2*k**3/3 + 504*k**2. Determine j so that m(j) = 0.
-5, -2, -1
Let g(n) be the second derivative of -n**6/30 - n**5/10 + n**4/3 + n**3/3 - 3*n**2/2 + 261*n. Determine z so that g(z) = 0.
-3, -1, 1
Suppose -12*v + 75 = 3. Let o(m) be the first derivative of v + 2/15*m**3 + 2/5*m**2 + 0*m. Factor o(a).
2*a*(a + 2)/5
Let o(c) be the first derivative of c**4 + 4*c - 2*c**2 - 4/3*c**3 - 8. Solve o(b) = 0.
-1, 1
Factor -2/3*p**4 + 64*p - 128/3 + 8*p**3 - 104/3*p**2.
-2*(p - 4)**2*(p - 2)**2/3
Let m(r) be the third derivative of -r**5/690 + 5*r**4/69 - 100*r**3/69 - 528*r**2. Factor m(a).
-2*(a - 10)**2/23
Factor -3/7 + 3/7*k**5 + 18/7*k**2 - 1/7*k + 17/7*k**4 + 30/7*k**3.
(k + 1)**3*(k + 3)*(3*k - 1)/7
Find w such that 3/4*w**5 + 6*w - 27/4*w**3 - 31/4*w**2 + 11/4*w**4 + 5 = 0.
-5, -1, -2/3, 1, 2
Find b, given that -6/5*b**3 + 0 + 3/5*b**4 + 3/5*b**5 + 0*b + 0*b**2 = 0.
-2, 0, 1
Factor -6*l**3 + 37*l**5 + 7*l**3 + 53*l**5 + 18*l**4 - 9*l**5.
l**3*(9*l + 1)**2
Let y(a) be the third derivative of a**7/1260 - a**6/45 + 4*a**5/15 - a**4/8 + 5*a**2. Let w(b) be the second derivative of y(b). Factor w(v).
2*(v - 4)**2
Suppose 3*z = 5*i + 191, -z + 119 = z + 5*i. Suppose h**5 + h**4 + h**4 - z*h**3 + 63*h**3 = 0. Calculate h.
-1, 0
Let d(w) = 5*w**3 + 7*w**2 - 3*w + 9. Let q(x) = 16*x**3 + 22*x**2 - 8*x + 30. Let b(z) = 10*d(z) - 3*q(z). Solve b(n) = 0 for n.
-3, 0, 1
Suppose -865 - 3351 = -17*b. Factor -b*c - 307*c**2 - 13*c**3 - 48 - 34*c**3 - 3*c**3 - 33*c**2.
-2*(c + 6)*(5*c + 2)**2
Let f(r) = r**3 + 14*r**2 + 25*r + 14. Let p be f(-12). Let c = -8 - -16. Factor c*h**p + 0*h**3 - 2*h - 9*h**2 + h**3.
h*(h - 2)*(h + 1)
Let s(n) = n**2 + 20*n + 21. Let l be s(-19). Factor -l*v + 2*v - 3*v**2 - 42 + 54.
-3*(v - 2)*(v + 2)
Let j(p) be the second derivative of -p**9/25704 - p**8/7140 + p**7/1785 + 2*p**6/765 + 3*p**3/2 - 27*p. Let v(c) be the second derivative of j(c). Factor v(y).
-2*y**2*(y - 2)*(y + 2)**2/17
Let o = -11 - -13. Factor -o*f**3 + 4*f + f**2 - f**4 + 0*f**4 - 2*f.
-f*(f - 1)*(f + 1)*(f + 2)
Let k(i) = -i**3. Let q be ((-48)/40)/((-21)/(-30) + -1). Let l(p) = -2*p**5 + 4*p**3 + 4*p**2. Let z(h) = q*k(h) - 2*l(h). Suppose z(s) = 0. Calculate s.
-1, 0, 2
Suppose -2*w - 4*q + 14 = 0, -2*q = -1 + 3. Suppose w*d - 21 = 6. Determine o so that -1/4*o - 1/2*o**2 + 1/2 + 1/4*o**d = 0.
-1, 1, 2
Let f(w) be the second derivative of 1/5*w**5 + 0*w**2 - 2/3*w**3 - 7*w + 2/15*w**6 - 1/3*w**4 + 0. Suppose f(r) = 0. Calculate r.
-1, 0, 1
Let p(b) be the third derivative of b**8/2688 - b**7/560 - b**6/64 - 17*b**5/480 - b**4/32 + 107*b**2. Suppose p(g) = 0. What is g?
-1, 0, 6
Suppose -2*z + 5*n = 35, -n = -3*z - 3*n - 62. Let b = z - -20. Factor 0 - 22*c + b + 3*c**2 + 25*c.
3*c*(c + 1)
Let n = 1/5040 - -2519/5040. Determine a, given that -n*a**2 - a - 1/2 = 0.
-1
Let y(q) be the third derivative of -q**6/72 + q**5/8 - 5*q**4/12 + 5*q**3/6 - 9*q**2. Let c(r) be the first derivative of y(r). Solve c(v) = 0 for v.
1, 2
Let v(y) be the first derivative of -y**7/14 - 3*y**6/10 - 3*y**5/10 + 14*y - 5. Let u(j) be the first derivative of v(j). Find b, given that u(b) = 0.
-2, -1, 0
Suppose -13*u = -7*u - 12. Suppose -1 = -u*q + 5. Factor 8/7*b**q + 0 - 4/7*b**5 + 0*b**2 - 4/7*b**4 + 0*b.
-4*b**3*(b - 1)*(b + 2)/7
Suppose 15 = -2*u + 3*u. Suppose -u = -3*r - 5*h, -5*h = 7*r - 2*r - 25. Solve -6/13*w**4 + 0*w - 2/13*w**r - 2/13*w**2 + 0 - 6/13*w**3 = 0.
-1, 0
Let q(m) be the second derivative of m**5/170 - m**4/2 + 189*m**3/17 + 2187*m**2/17 + 19*m + 3. Factor q(h).
2*(h - 27)**2*(h + 3)/17
Let o(p) be the second derivative of p**4/90 - 244*p**3/45 + 14884*p**2/15 - 488*p. Suppose o(s) = 0. What is s?
122
Let v = -23/102 - -20/51. Let u(x) be the third derivative of 0*x**3 + 1/15*x**5 + 0*x + 0 - v*x**4 - 7*x**2. Find p such that u(p) = 0.
0, 1
Let a(y) be the third derivative of -7/240*y**6 + 0*y + 1/6*y**3 + 1/16*y**4 + 12*y**2 + 0 - 1/10*y**5 + 1/70*y**7. Let a(b) = 0. Calculate b.
-1, -1/3, 1/2, 2
Factor 0*c - 20*c**2 - 2/3*c**4 + 22/3*c**3 + 0.
-2*c**2*(c - 6)*(c - 5)/3
Let a(n) = 15*n**2 + 5*n - 10. Suppose -3 = -6*d + 7*d. Let w(x) = -8*x**2 - 3*x + 5. Let z(j) = d*a(j) - 5*w(j). Determine y, given that z(y) = 0.
-1, 1
Let g(q) be the first derivative of q**6/1620 - q**5/135 + q**4/36 + 14*q**3/3 + 8. Let n(z) be the third derivative of g(z). Factor n(l).
2*(l - 3)*(l - 1)/9
Let u be 5/(-10)*3 - (-246)/4. Let h = u + -58. Factor -2/7*c**h - 4/7*c - 2/7.
-2*(c + 1)**2/7
Solve 6/11*r**4 - 6/11*r**2 + 2/11*r**3 - 4/11*r + 2/11*r**5 + 0 = 0.
-2, -1, 0, 1
Suppose 0 = -3665*y + 3671*y. Solve -3/5*v**3 + y - 3/5*v - 6/5*v**2 = 0.
-1, 0
Let a(y) be the second derivative of y**3/6 + 9*y**2/2 + 4*y. Let s be a(-4). Find c, given that -124*c**2 + 2*c**3 - 4*c**s + 4*c**4 + 120*c**2 + 2*c**5 = 0.
-1, 0, 1, 2
Let f(w) = 5*w**3 + 42*w**2 + 11. Let z(h) = -2*h**3 - 14*h**2 - 4. Let q(o) = -4*f(o) - 11*z(o). Factor q(u).
2*u**2*(u - 7)
Let h(r) = -2*r. Let z(j) = 5*j**2 - 7*j - 60. Let m(u) = -6*h(u) + z(u). Factor m(b).
5*(b - 3)*(b + 4)
Let x(s) = s + 24. Let d(r) = r + 23. Let m(w) = -2*d(w) + 3*x(w). Let y be m(-11). Factor 12*j**2 - 2 - y*j**2 + 8 - 3*j.
-3*(j - 1)*(j + 2)
Let p(q) = q**2 - q + 1. Let l(g) be the second derivative of 2*g**2 - 4*g. Let n(b) = b + 21. Let w be n(-22). Let x(i) = w*l(i) + 4*p(i). Solve x(c) = 0.
0, 1
Let r(d) = 2. Let f(t) = 5*t**2 + 20*t + 25. Let m(i) = f(i) - 5*r(i). Factor m(o).
5*(o + 1)*(o + 3)
What is s in 24*s**2 + 4 + 44 - 16 - 48*s - 4*s**3 = 0?
2
Let t(y) be t