 29. Solve d(i) = 0 for i.
-1, 1, 14
Let y = -12 + 12. Suppose -2*n + 3*n - 1 = y. Factor 3 - n - 2 + 1 + c**2 + 2*c.
(c + 1)**2
Let s be ((-9)/(-12))/((-1)/(-4)). Suppose -s*i + 2 + 7 = 0. Factor 4*x**2 - 52*x**4 + 0*x**3 - x**i + 51*x**4 + 4*x.
-x*(x - 2)*(x + 1)*(x + 2)
Factor -169900/9*o**2 + 36920/9*o - 2704/9 + 162*o**5 + 30210*o**3 - 4320*o**4.
2*(o - 13)**2*(9*o - 2)**3/9
Let g(m) = -3*m**4 + 3*m**3 + 14*m**2 - 2*m - 2. Let t(s) = -6*s**4 + 6*s**3 + 32*s**2 - 5*s - 5. Let d(v) = -5*g(v) + 2*t(v). Factor d(x).
3*x**2*(x - 2)*(x + 1)
Let u(r) be the second derivative of 1/6*r**3 + 0*r**2 + 0 - 1/14*r**7 + 11/80*r**5 - 23/120*r**6 - 20*r + 5/12*r**4. Determine t, given that u(t) = 0.
-2, -2/3, -1/4, 0, 1
Let -11/2*y**2 + 1/2*y**4 - 9/2*y**3 + 5 + 9/2*y = 0. What is y?
-1, 1, 10
Let x(j) be the first derivative of j**5/15 + 19*j**4/6 + 4*j**3 - 19*j**2/3 - 37*j/3 - 660. Find v, given that x(v) = 0.
-37, -1, 1
Let n(a) be the third derivative of -a**7/42 - a**6/12 + 5*a**5/12 + 5*a**4/4 + 91*a**2. Factor n(k).
-5*k*(k - 2)*(k + 1)*(k + 3)
Let n be (-19 - -1 - 2)*156/(-20). Factor 315*i + 5*i**3 - 36*i**2 + 89 + 111*i**2 + n.
5*(i + 1)*(i + 7)**2
Let u(o) be the first derivative of -o**4/2 - 16*o**3 - 23*o**2 - 105. Factor u(p).
-2*p*(p + 1)*(p + 23)
Let v(l) = l + 1. Let d(o) = -3*o**4 - 21*o**3 - 42*o**2 - 21*o + 3. Let b(f) = d(f) - 3*v(f). Factor b(k).
-3*k*(k + 1)*(k + 2)*(k + 4)
Suppose 5*z = -4*y + 70, 3*y + 47 = 4*z + 8*y. Let m(v) = 2*v - 36. Let a be m(z). Factor 2/7*d + 2/7*d**2 - 2/7*d**3 - 2/7*d**4 + a.
-2*d*(d - 1)*(d + 1)**2/7
Let n be 4/(-30)*(-3)/6*1. Let s(a) be the first derivative of 0*a + 2/15*a**3 - 1/10*a**4 + n*a**6 + 3 - 2/25*a**5 + 0*a**2. Factor s(t).
2*t**2*(t - 1)**2*(t + 1)/5
Factor -104/9*i + 2/9*i**4 + 14/3 + 28/3*i**2 - 8/3*i**3.
2*(i - 7)*(i - 3)*(i - 1)**2/9
Suppose 5*t + g = 1 + 25, 5*g + 20 = 5*t. Let v(m) be the first derivative of 8 + 1/8*m**6 + 0*m**3 + 0*m + 0*m**t - 3/16*m**4 + 0*m**2. Factor v(x).
3*x**3*(x - 1)*(x + 1)/4
Let n(i) be the second derivative of i**8/1344 + i**7/56 + i**6/6 + 5*i**5/6 - 5*i**4/3 + 42*i. Let c(p) be the third derivative of n(p). Factor c(f).
5*(f + 2)**2*(f + 5)
Let n(t) be the first derivative of -2 - 5*t - 1/75*t**6 + 0*t**2 - 2/15*t**3 + 1/30*t**4 + 1/25*t**5. Let l(s) be the first derivative of n(s). Factor l(c).
-2*c*(c - 2)*(c - 1)*(c + 1)/5
Determine t so that 312*t**2 - t - 6*t - 315*t**2 - 51*t - 192 - 2*t = 0.
-16, -4
Factor l**3 + 0*l**2 + 2*l**2 + 11 - 3 + 3*l - 9*l - 5*l**2.
(l - 4)*(l - 1)*(l + 2)
Suppose 0 = -32*w + 35 - 35. Let y(d) be the first derivative of 8 + w*d + 0*d**3 - 4/25*d**5 + 1/5*d**4 + 0*d**2. Factor y(h).
-4*h**3*(h - 1)/5
Let n(o) be the second derivative of 0 - 3/110*o**5 + 0*o**2 - 1/33*o**3 - 1/22*o**4 - 1/165*o**6 + 38*o. Let n(j) = 0. Calculate j.
-1, 0
Factor -88/5*t + 18/5 + 64/5*t**2.
2*(4*t - 1)*(8*t - 9)/5
Let v = 7 + 3. Suppose -v*d + 6*d = 8. Let q(x) = 6*x**3 - 12*x**2 + 4*x + 1. Let c(j) = 17*j**3 - 36*j**2 + 11*j + 4. Let b(p) = d*c(p) + 7*q(p). Factor b(k).
(2*k - 1)**3
Let w(l) = 7*l**2 - 776*l + 30424. Let h(z) = -15*z**2 + 1550*z - 60850. Let t(r) = 2*h(r) + 5*w(r). What is k in t(k) = 0?
78
Determine o, given that 43*o + 1870*o**2 - 932*o**2 + 19 - 939*o**2 - 61 = 0.
1, 42
Let y(w) be the first derivative of -3*w**5/40 - 15*w**4/8 - 83*w**3/8 - 93*w**2/4 - 45*w/2 - 140. Find b such that y(b) = 0.
-15, -2, -1
Let n be (-1 + 7)*(-3)/(-6). Solve -n*p**4 + 450*p**2 - 57*p**3 + 4*p**4 + p**4 + 117*p**3 = 0.
-15, 0
Let g(h) = h**5 + 1. Let a(x) = x**5 - 3*x**4 - 9*x**3 + 3*x**2 + 6*x - 2. Let b(i) = -a(i) - 2*g(i). Let b(u) = 0. What is u?
-1, 0, 1, 2
Let d(v) be the first derivative of -v**3 - 9*v**2/2 + 30*v + 16. Factor d(n).
-3*(n - 2)*(n + 5)
Factor 3/7*b**2 + 0 + 36/7*b.
3*b*(b + 12)/7
Let g(l) be the first derivative of -4/3*l - 1/6*l**4 - 8/9*l**3 - 5/3*l**2 - 23. Let g(u) = 0. Calculate u.
-2, -1
Suppose m = 4*b - 3*m - 248, 0 = b - 4*m - 56. Let g = b - 62. Determine t, given that -3/5*t**4 - 3/5*t**3 + 0 + 0*t**g + 0*t = 0.
-1, 0
Suppose 0*n - n - 5 = 0. Let r be 1 - n/((-5)/(-2)). Factor 4*s**2 - s - 3*s**4 + 0*s**4 - s**r - 3*s + 6*s**3.
-s*(s - 2)*(s + 1)*(3*s - 2)
Let t be 18/(-9*12/(-24)). Suppose 0*x + 3/4*x**t + 0 - 3/4*x**3 - 3/2*x**2 = 0. What is x?
-1, 0, 2
Let t be (-697)/(-170) + 1/(-10). Suppose -4*f - 3*v + 9 = -2*v, f + 9 = -t*v. Factor 0*p**2 + 3/7*p**f - 6/7 - 9/7*p.
3*(p - 2)*(p + 1)**2/7
Let q(r) = r. Let a be q(6). Suppose 0 = -2*t + a. Determine m, given that -5*m**3 + 0*m - 2*m**4 + 29*m**t + 2*m**2 + 8 - 24*m - 8*m**4 = 0.
-1, 2/5, 1, 2
Suppose 0 = -109*n + 105*n + 176. Let r = n - 40. Factor 7/3*f**r + 3*f**3 + 2 - 11*f**2 + 11/3*f.
(f - 1)**2*(f + 3)*(7*f + 2)/3
Let j(l) be the first derivative of -6/5*l**4 + 32/15*l**3 - 13/15*l**2 + 2/15*l + 31. Find w such that j(w) = 0.
1/6, 1
Suppose 6*c = -5*i + 32, -13*c - 8 = -15*c - i. Factor -36/7*q**3 + 2*q**4 - 16/7*q - 2/7*q**5 + 0 + 40/7*q**c.
-2*q*(q - 2)**3*(q - 1)/7
Let x be (2/(-12))/((-3)/63). Let j(g) be the first derivative of 0*g - x*g**4 + 2*g**2 - 3 + 10/3*g**3. Determine i so that j(i) = 0.
-2/7, 0, 1
Find m such that 8/7 - 8/7*m + 2/7*m**2 = 0.
2
Let t(m) be the second derivative of -125*m**7/42 + 95*m**6/6 - 139*m**5/4 + 485*m**4/12 - 80*m**3/3 + 10*m**2 + 77*m. Factor t(d).
-5*(d - 1)**3*(5*d - 2)**2
Let z(d) = 4*d**5 - 4*d**4 - 16*d**3 + 34*d + 2. Let x(n) = -17*n**5 + 18*n**4 + 64*n**3 - 137*n - 9. Let o(r) = -4*x(r) - 18*z(r). Find c, given that o(c) = 0.
-2, 0, 2
Let c(g) be the first derivative of g**9/4536 + g**8/840 - g**6/135 - 13*g**3 - 36. Let d(b) be the third derivative of c(b). Factor d(z).
2*z**2*(z - 1)*(z + 2)**2/3
Let o(r) be the third derivative of r**5/60 + r**4/4 + 3*r**3/2 + 3*r**2 + 3*r. Determine a so that o(a) = 0.
-3
Let j be 0/((-2 - 10)/12). Factor 0 - 2/3*q**2 - 2/3*q**3 + 2/3*q**5 + j*q + 2/3*q**4.
2*q**2*(q - 1)*(q + 1)**2/3
Let c(g) = 35 + 0*g**2 - 33 + 25*g**3 + 8*g**2. Let n(h) = 99*h**3 + 33*h**2 + 9. Let i(p) = -9*c(p) + 2*n(p). Factor i(m).
-3*m**2*(9*m + 2)
Suppose 0 = -2*m - 2*m. Suppose 4*x - 8 = -m*x. Factor 2*t**2 + 2*t**3 - 5*t**4 - x*t + 3*t**4 + 36 - 36.
-2*t*(t - 1)**2*(t + 1)
Let r(j) be the third derivative of -1/18*j**3 + 1/1080*j**6 + 7/216*j**4 - 1/108*j**5 + 0*j - j**2 + 0. Factor r(x).
(x - 3)*(x - 1)**2/9
Let n(k) be the first derivative of -4*k + 16 + 4/3*k**3 - 1/4*k**4 + 1/2*k**2. Factor n(z).
-(z - 4)*(z - 1)*(z + 1)
Let z(v) be the third derivative of v**6/40 - 3*v**5/10 + 9*v**4/8 - 13*v**2 + 2*v. Factor z(o).
3*o*(o - 3)**2
Let q(u) be the second derivative of -5/96*u**4 + 0 - 7/48*u**3 - 1/8*u**2 + 16*u. Suppose q(z) = 0. Calculate z.
-1, -2/5
Let x = 30383 + -91133/3. Let -8/3*c + 47/3*c**2 - 13/3*c**4 - x - 8/3*c**3 - 2/3*c**5 = 0. What is c?
-4, -1/2, 1
Factor 4/5*z**3 + 484/5 + 396/5*z - 84/5*z**2.
4*(z - 11)**2*(z + 1)/5
Suppose 0 = -w - 4 + 7. Suppose 0 = 3*a + 2*a - 15, -63 = -3*j + w*a. What is l in -48*l + j*l - 26*l**2 + 4 - 2*l**4 - 3 - 12*l**3 - 9 = 0?
-2, -1
Let g be (-1 + -3 - -5) + 1. What is l in 8*l**5 + 20*l**4 - 2*l - 13*l**2 + 8 - 2*l - 9*l**2 - 6*l**g - 4*l**3 = 0?
-2, -1, 1/2, 1
Let a(s) be the first derivative of s**3/4 + 399*s**2/4 + 53067*s/4 + 379. Factor a(r).
3*(r + 133)**2/4
Suppose -5*x = 2*g - 6, 2*x = 3*g - 6*g - 2. Factor 30*h**2 - 2*h**4 + x*h**4 + 3*h**4 - 3*h**2 + 18*h**3.
3*h**2*(h + 3)**2
Suppose 4*s - 4*l = 0, 3*s - l - 4*l = -10. Let g(m) be the third derivative of -6*m**2 - 1/120*m**6 - 1/6*m**3 - 1/20*m**s + 0*m + 0 - 1/8*m**4. Factor g(o).
-(o + 1)**3
Let z(q) be the third derivative of 10*q**2 + 0*q**3 - 1/9*q**4 + 0*q - 1/90*q**5 + 0. Factor z(a).
-2*a*(a + 4)/3
Let k(q) = -3*q**3 + 10*q**2 - 14*q + 17. Let r(d) = 2*d**3 - 6*d**2 + 7*d - 9. Let s(j) = 6*k(j) + 10*r(j). Factor s(a).
2*(a - 2)*(a - 1)*(a + 3)
Let r(x) = 3*x - 19. Let m be r(8). Factor -2*t**2 - 5 + 12 + 17 + 18*t + m*t**2.
3*(t + 2)*(t + 4)
Let z be 12*(-4)/12*-2. Factor 2*a**3 - z*a**3 - a**3 + 4*a**3 + 12*a**2.
-3*a**2*(a - 4)
Let n(q) be the third derivative of -q**7/840 + q**6/120 - q**5/40 + q**4/24 - 5*q**3/3 - 6*q**2. Let g(f) be the first derivative of n(f). Factor g(y).
-(y - 1)**3
Let l(k) be the first derivative of -6/7*k - 45 - 9/14*k**2 - 1/7