**2 + d*g**5 + 2/3*g**3 - 1/3 - g.
(g - 1)*(g + 1)**4/3
Find j such that 27/8*j**2 + 9 - 3/8*j**3 - 39/4*j = 0.
2, 3, 4
Let z(c) = -5*c**3 + 60*c**2 + 19*c - 108. Suppose 10*b + 6 = 11*b. Let v(y) = -2*y**3 + 20*y**2 + 6*y - 36. Let u(h) = b*z(h) - 17*v(h). Factor u(f).
4*(f - 1)*(f + 3)**2
Let m = 3/941 - -896/14115. Let z(i) be the third derivative of 1/80*i**6 + 1/12*i**4 + 0 + 0*i**3 + 0*i + 5*i**2 - m*i**5. Solve z(d) = 0 for d.
0, 2/3, 2
Let s(u) be the third derivative of u**5/330 + 19*u**4/132 - 92*u**3/33 - 403*u**2. Factor s(g).
2*(g - 4)*(g + 23)/11
Let c(g) = -g**4 + g**2 - g. Let d(i) = -4*i**4 + 4*i**3 + 9*i**2 - 5*i. Let q(x) = -5*c(x) + d(x). Find t, given that q(t) = 0.
-2, 0
Let f = -883 + 886. Let t(w) be the first derivative of 1/9*w**4 + 1/27*w**6 - 1/3*w**2 - 4/27*w**f - 2/9*w + 2/15*w**5 - 8. Let t(c) = 0. Calculate c.
-1, 1
Factor a**3 + 0*a + 4/3 - 7/3*a**2.
(a - 2)*(a - 1)*(3*a + 2)/3
Suppose 0 = -8*a + 4*a + 12. Factor -45*k + 29*k**a - 34*k**3 - 15*k**2 - 15*k**2.
-5*k*(k + 3)**2
Let l = 173/12 - 3269/228. Let j = l + 27/19. Factor 0 + 0*m + j*m**2 + 3/2*m**3.
3*m**2*(m + 1)/2
Let m(h) be the second derivative of 19*h + 0*h**3 + 0 + 0*h**2 + 1/90*h**4. Factor m(r).
2*r**2/15
Let p(w) be the third derivative of -7*w**5/90 - 430*w**4/9 + 164*w**3/3 - 715*w**2. Determine s, given that p(s) = 0.
-246, 2/7
Let x(b) = 6*b**2 - 58*b - 258. Let m be x(13). Let k be 9/12*80/54. Factor k*a + 4/9 - 2/3*a**m.
-2*(a - 2)*(3*a + 1)/9
Let m(g) = -g**3 - 17*g**2 - 28*g + 30. Let b be m(-15). Let w(y) be the first derivative of 8 + b*y - 14/9*y**3 - 2/3*y**2. Factor w(q).
-2*q*(7*q + 2)/3
Factor -2/15*o**3 - 4/3*o**2 - 112/15 + 104/15*o.
-2*(o - 2)**2*(o + 14)/15
Let m(h) be the first derivative of h**4/84 + h**3/21 - 3*h**2/14 + h - 6. Let u(r) be the first derivative of m(r). Suppose u(t) = 0. What is t?
-3, 1
Solve 40/21*b + 46/21*b**3 + 16/21 - 8/21*b**4 - 4*b**2 = 0.
-1/4, 2
Let r(i) be the first derivative of -i**7/105 - i**6/12 - 4*i**5/15 - i**4/3 + 17*i**2/2 - 14. Let u(k) be the second derivative of r(k). Factor u(b).
-2*b*(b + 1)*(b + 2)**2
Let l(q) = -q**2 - 5*q. Let u be l(-5). Let i(r) = r**3 - 2*r**2 + 7. Let k be i(u). Factor -2*x**2 - 72*x**4 - 6*x + 37*x**4 + 38*x**4 - k*x**2.
3*x*(x - 2)*(x + 1)**2
Let r(g) be the second derivative of g**6/360 + g**5/90 - g**4/18 - 4*g**3/9 - 3*g**2 - 2*g. Let i(u) be the first derivative of r(u). Solve i(q) = 0.
-2, 2
Let v(u) be the first derivative of -2*u**5/85 + 5*u**4/34 - 6*u**3/17 + 7*u**2/17 - 4*u/17 - 846. Solve v(m) = 0 for m.
1, 2
Let t(f) = -f**3 - f**2 + 2*f - 9. Let d be t(-3). Let x(n) be the first derivative of -1/18*n**4 - 8/27*n**d - 5/9*n**2 - 4 - 4/9*n. Factor x(g).
-2*(g + 1)**2*(g + 2)/9
Let p(z) be the second derivative of z**7/84 + 4*z**6/15 + 9*z**5/8 - 27*z**4/4 - 3*z - 16. Factor p(o).
o**2*(o - 2)*(o + 9)**2/2
Let n = 25 + -16. Suppose -2*i + 3 = z, -2*z = -3*i + z + n. Solve -10*r + 3*r**2 - 5*r**2 - i + 11*r + 3*r = 0.
1
Let r(s) be the third derivative of -23*s**7/120 - 59*s**6/80 - s**5/4 + s**4/12 - 26*s**2. Determine v, given that r(v) = 0.
-2, -2/7, 0, 2/23
Let x = -89 + 94. Suppose 0 = -11*l + x + 39. Factor -4/5*h**l - 4/5*h**3 + h - 1/5*h**5 + 2/5*h**2 + 2/5.
-(h - 1)*(h + 1)**3*(h + 2)/5
Suppose -4*c - 107 = -115. Let v(i) be the second derivative of c*i + i**2 + 5/6*i**3 + 0 - 25/12*i**4. Find a such that v(a) = 0.
-1/5, 2/5
Let o(u) be the third derivative of 0*u + 1/240*u**5 + 0*u**3 + 0 + 1/48*u**4 - 15*u**2. Factor o(t).
t*(t + 2)/4
Let u(q) be the second derivative of q**6/180 + q**5/30 - 4*q**3/9 + 5*q**2/2 - 2*q + 1. Let z(c) be the first derivative of u(c). Factor z(j).
2*(j - 1)*(j + 2)**2/3
Let g(n) = 4*n**2 - 15*n + 9. Let q be g(3). Let i(a) be the second derivative of 1/12*a**4 + 0*a**2 + 0*a**3 + q - 2*a. Factor i(r).
r**2
Let m(j) be the second derivative of -j**5/28 - 16*j**4/7 + 17*j**3/6 + 39*j**2/7 - 577*j. Solve m(x) = 0.
-39, -2/5, 1
Let l(c) be the second derivative of -c**5/230 + 15*c**4/46 + 16*c**3/23 - 4*c**2 - 7*c + 28. Factor l(t).
-2*(t - 46)*(t - 1)*(t + 2)/23
Let x = -28959 - -28964. Let 0*t + 0*t**2 - 2/5*t**x + 0 - 12/5*t**4 - 2*t**3 = 0. Calculate t.
-5, -1, 0
Let s = 89 - 59. Let t be (2/(-5))/((-3)/s). Factor 2/3*n - 1/3*n**t - 2/3*n**3 + 0*n**2 + 1/3.
-(n - 1)*(n + 1)**3/3
Suppose -s - 8 = -3*x + s, -3*x - 4*s + 2 = 0. Suppose -4*z**x + 2 - 3 + 3*z**2 - 2*z = 0. Calculate z.
-1
Let i(a) be the second derivative of 5*a**7/189 - 7*a**6/135 - 13*a**5/90 + 31*a**4/54 - 20*a**3/27 + 4*a**2/9 - 8*a + 16. Let i(h) = 0. What is h?
-2, 2/5, 1
Let a(r) = -r**3 - 11*r**2 - 9*r + 8. Let i be a(-10). Let o be 3/i*(-18)/9. Find y, given that 85 - 5*y**2 + 5*y**o - 85 = 0.
0, 1
Let t(x) be the first derivative of 9*x**5/25 - 39*x**4/20 + 19*x**3/5 - 33*x**2/10 + 6*x/5 - 38. Solve t(q) = 0 for q.
1/3, 1, 2
Let u be 1145/375 + (-5 - -2). Let l(a) be the second derivative of 1/10*a**4 - 2/25*a**5 - u*a**6 + 0 - 1/5*a**2 + 7*a + 2/15*a**3. Factor l(k).
-2*(k + 1)**2*(2*k - 1)**2/5
Let g(f) be the first derivative of -3*f**2 - 9/5*f**3 - 3/50*f**5 + 9/20*f**4 + 1/300*f**6 - 4 + 0*f. Let t(i) be the second derivative of g(i). Factor t(x).
2*(x - 3)**3/5
Let t(n) be the third derivative of n**10/15120 + n**9/3780 + n**8/3360 + n**4/2 + 8*n**2. Let b(m) be the second derivative of t(m). Solve b(a) = 0 for a.
-1, 0
Let n(b) be the third derivative of -1/945*b**7 + 10*b**2 + 0*b + 0*b**5 + 0 + 0*b**4 - 1/270*b**6 + 0*b**3. Factor n(v).
-2*v**3*(v + 2)/9
Let v = 1219 + -340. Factor -3*w**4 - 879 + v + 3*w**3.
-3*w**3*(w - 1)
Let n = -68 - -68. Let y(j) be the third derivative of 0 - 1/210*j**7 + 0*j + 0*j**3 + 1/60*j**5 + 0*j**4 + n*j**6 + 2*j**2. Solve y(q) = 0.
-1, 0, 1
Let b(s) = s - 1. Let l be b(6). Let h = 2 - 2. Solve h*o**5 + 4*o**l - 3*o**5 = 0.
0
Let o be (-2)/(-3)*(8 - 5). Let b be -6 - 380/(-25) - 8. Suppose -8/5*v + 2/5*v**o + b = 0. Calculate v.
1, 3
Let w be (26/39)/(-2)*-12. Let i(f) be the second derivative of 8/9*f**3 + 1/225*f**6 + 0 + 1/15*f**5 + 11/30*f**4 - w*f + 16/15*f**2. Factor i(b).
2*(b + 1)**2*(b + 4)**2/15
Let a = 5099/24 - 634/3. Factor a*u - 3/2 + 3/8*u**2.
3*(u - 1)*(u + 4)/8
Let i(n) = -3*n**2 - 17*n + 88. Let g(t) = -4*t**2 - 14*t + 90. Let w(c) = -5*g(c) + 6*i(c). Suppose w(s) = 0. Calculate s.
3, 13
Let r(z) = 15*z - 313. Let p be r(21). Let j(l) be the second derivative of 2*l**p - 1/6*l**4 - 2*l + 1/3*l**3 + 0. Factor j(q).
-2*(q - 2)*(q + 1)
Factor -3*z**2 - 7*z + 6*z + 72 + 0*z - 5*z.
-3*(z - 4)*(z + 6)
Let q(r) be the second derivative of 3/8*r**4 + 0 + r**3 - 2*r**2 + 1/20*r**5 + 2*r. Let d(f) be the first derivative of q(f). Determine p, given that d(p) = 0.
-2, -1
Let o(a) be the third derivative of a**6/200 - a**5/50 - 7*a**4/40 - 2*a**3/5 + 2*a**2 - 33. Factor o(i).
3*(i - 4)*(i + 1)**2/5
Let o(r) be the second derivative of r**6/60 + r**5/40 - 7*r**4/24 - 13*r**3/12 - 3*r**2/2 - 2*r - 104. Determine i, given that o(i) = 0.
-2, -1, 3
Let y(j) be the third derivative of j**8/20160 - j**6/720 - j**5/180 - j**4/12 - 8*j**2. Let a(f) be the second derivative of y(f). Factor a(s).
(s - 2)*(s + 1)**2/3
Suppose -2*r - 97 = 31. Let f be 8/(-12) - r/6. Determine y, given that -3*y**3 + 4 - 5*y**3 - 4*y**2 + 2*y + f*y**3 - 4*y**3 = 0.
-2, -1, 1
Let w(s) = s - 11. Let j be w(-5). Let f = j - -65/4. Determine n so that 1/4*n**5 - 5/4*n**2 + f*n**4 + 0 - 3/4*n**3 - 1/2*n = 0.
-1, 0, 2
Factor -3/4*y**4 + 0*y + 3/4*y**3 + 0 + 1/4*y**5 - 1/4*y**2.
y**2*(y - 1)**3/4
Let d = -41/3 - -14. Let j = -4069 - -12209/3. Determine b so that b**2 - b**4 + d*b**5 - j*b + 1/3*b**3 + 0 = 0.
-1, 0, 1, 2
Factor 10795*y + y**3 - 10795*y - 6*y**3 + 4*y**2 + y**4.
y**2*(y - 4)*(y - 1)
Suppose 4*j + k - 22 = 0, 43*j + 4*k - 36 = 40*j. Solve -2*b**2 + 3/2*b**5 + 2*b**j - 1/2*b - b**3 + 0 = 0.
-1, -1/3, 0, 1
Suppose 17*u = 43*u - 104. Let h(n) be the first derivative of 0*n**2 - 2 + 0*n + 3/20*n**5 + 1/12*n**3 + 3/16*n**u + 1/24*n**6. Factor h(j).
j**2*(j + 1)**3/4
Let w(n) be the first derivative of n**6/120 + n**5/30 - n**4/24 - n**3/3 + 3*n**2/2 - 13. Let b(g) be the second derivative of w(g). Factor b(i).
(i - 1)*(i + 1)*(i + 2)
Let z be (39 - 20)/(-38)*81/(-6). Factor -z - 9/2*q - 3/4*q**2.
-3*(q + 3)**2/4
Let 