39). Find b, given that 0*b + 24/7*b**4 + 20/7*b**3 + 0 - 8/7*b**2 - y*b**5 = 0.
-2/3, 0, 1/3, 1
Let o(c) = -2*c**2 - 53*c - 141. Let t be o(-3). Factor -4/3 - 1/3*w**3 + t*w + w**2.
-(w - 2)**2*(w + 1)/3
Let i(y) be the third derivative of -y**7/315 + y**6/36 - 4*y**5/45 + y**4/9 - 242*y**2. Factor i(w).
-2*w*(w - 2)**2*(w - 1)/3
Let o be (27234/68)/(-89) + (-422)/(-60). Let 14/5*n**2 + 6/5*n**3 + 4/5 + o*n + 2/15*n**4 = 0. Calculate n.
-6, -1
Let v(q) = -q**2 + q + 1. Let a(i) = 10*i**2 - 3*i - 11. Let o(f) = -4*a(f) - 44*v(f). Let o(b) = 0. Calculate b.
0, 8
Let i(o) be the third derivative of o**6/180 + 16*o**5/5 + 576*o**4 - 10*o**2 - 36. Factor i(b).
2*b*(b + 144)**2/3
Let r(t) be the third derivative of t**5/20 + 11*t**4/4 + 60*t**3 - 49*t**2. Determine o, given that r(o) = 0.
-12, -10
Suppose 0 = 8*p - 25 - 7. Let c be ((0 - 0)*(-4)/(-8))/(-3). Factor 0*v**2 + c + 0*v + 4/5*v**p + 2/5*v**3 + 2/5*v**5.
2*v**3*(v + 1)**2/5
Factor 0 - 12/13*q**2 + 54/13*q - 2/13*q**3.
-2*q*(q - 3)*(q + 9)/13
Let s(y) be the third derivative of 1/60*y**6 + 0*y**5 + 0*y**7 - 34*y**2 + 0 - 1/336*y**8 + 0*y + 0*y**3 - 1/24*y**4. Factor s(b).
-b*(b - 1)**2*(b + 1)**2
Factor -20*h**2 + 4 + h**3 + 4*h + 5*h - 25*h**2 + 51*h**2.
(h + 1)**2*(h + 4)
Let v(m) = -6*m**2 - 11*m - 13. Let k = 46 + -51. Let w(d) = -9*d**2 - 17*d - 19. Suppose 0 = 3*a - 7 - 14. Let h(n) = a*v(n) + k*w(n). Factor h(c).
(c + 2)*(3*c + 2)
Suppose -139 + 13 = -3*l. Let w = 45 - l. Let -19/3*f**w + 7/3*f**4 + 25/3*f**2 - 1/3*f**5 + 4/3 - 16/3*f = 0. Calculate f.
1, 2
Suppose 3*o + 4*h = 158, -5*h = 3*o - 5*o + 113. Let p be o/(-297) - (-58)/77. Factor -12/7*j**3 - 4/7*j**4 - 12/7*j**2 + 0 - p*j.
-4*j*(j + 1)**3/7
Factor 47*q**3 + 21/2*q**4 + 25/2 - 1/2*q**5 + 73*q**2 + 99/2*q.
-(q - 25)*(q + 1)**4/2
Suppose 3*i = -3*p, i = -12*p + 10*p - 5. Let n(y) be the second derivative of y + 11/54*y**4 + 7/135*y**6 + 0 + 8/45*y**i + 0*y**2 + 2/27*y**3. Factor n(j).
2*j*(j + 1)**2*(7*j + 2)/9
Let u(h) be the first derivative of -h**6/3 - 32*h**5/15 + 52*h**3/9 + h**2 - 20*h/3 + 76. Find d, given that u(d) = 0.
-5, -1, 2/3, 1
Let p(m) be the first derivative of m**3/18 - 2*m**2 + 24*m - 114. What is n in p(n) = 0?
12
Let x(k) be the third derivative of 1/60*k**5 + 0*k + 1/12*k**4 + 0 + 0*k**3 - 16*k**2. Factor x(v).
v*(v + 2)
Let z = -1054 + 1056. Determine j so that 0 + 1/4*j**5 + 0*j**3 + 0*j**z - 1/4*j**4 + 0*j = 0.
0, 1
Let u(b) be the first derivative of b**3/12 + 19*b**2/8 + 9*b/2 + 21. Factor u(a).
(a + 1)*(a + 18)/4
Let a(p) be the second derivative of p**6/324 + p**5/30 - 2*p**4/27 + 16*p**3/3 - 32*p. Let x(k) be the second derivative of a(k). Factor x(f).
2*(f + 4)*(5*f - 2)/9
Let w(z) be the first derivative of -2*z**6 + 63*z**5/5 - 123*z**4/4 + 37*z**3 - 45*z**2/2 + 6*z - 54. Solve w(l) = 0 for l.
1/4, 1, 2
Let m = 21/44 + 25/132. Factor 0 + 1/3*l**5 - 1/3*l**3 - m*l**4 + 0*l + 2/3*l**2.
l**2*(l - 2)*(l - 1)*(l + 1)/3
Let q be (-83)/7*(72/16 - 5). Let m = -24/7 + q. Factor -m*h**3 + 5/2*h - 3/2*h**2 + 2*h**4 - 1/2.
(h - 1)**2*(h + 1)*(4*h - 1)/2
Let y(d) be the third derivative of -d**6/180 + 7*d**5/60 - d**3/3 + 29*d**2. Let r(p) be the first derivative of y(p). Factor r(m).
-2*m*(m - 7)
Let i(w) be the third derivative of -13*w**5/20 - 35*w**4/24 + 8*w**3/3 + 3*w**2. Let x(s) = 430*s**2 + 385*s - 175. Let b(a) = -65*i(a) - 6*x(a). Factor b(v).
-5*(v + 1)*(9*v - 2)
Suppose 3185*y**3 + 3173*y**3 + 25*y - 20 + 35*y**2 - 6368*y**3 = 0. Calculate y.
-1, 1/2, 4
Let g = 15 - 11. Suppose -g*m + 3*m + 2 = 0. Factor -3 + 2*j**m - 12*j**3 - 13*j - 20*j**2 - 3*j**4 + 0*j**4 + j.
-3*(j + 1)**4
Suppose -3*j + 6 = 0, 0*j + 64 = 4*t + 4*j. Suppose 3*i = 4*s - t, -2*s - 4*i + 2 = 3*s. Determine q, given that -4 + 2*q + 2 - s*q**3 - 4*q**2 + 6*q**2 = 0.
-1, 1
Let m be (-4 - -4)/(5/((-15)/9)). Let t(s) be the first derivative of -2/3*s**3 + 0*s - 3 + m*s**2. Suppose t(y) = 0. What is y?
0
Let q(u) = 3*u**5 - 16*u**4 - 10*u**3 + 67*u**2 - 32*u - 3. Let x(g) = g**5 - 2*g**3 - g**2 + 1. Let k(l) = 2*q(l) + 6*x(l). Solve k(a) = 0 for a.
-2, 0, 2/3, 2
Solve -14/3*u**2 - 16*u - 40/3 = 0 for u.
-2, -10/7
Let j(i) be the second derivative of -3*i**7/49 + 83*i**6/35 + 307*i**5/35 + 34*i**4/3 + 40*i**3/7 - 90*i. What is t in j(t) = 0?
-1, -2/3, 0, 30
Suppose -106*f - 90 + 408 = 0. Determine c so that -6/5*c**2 - 2/5 + 2/5*c**f + 6/5*c = 0.
1
Let v(t) be the second derivative of -t**9/3024 - t**8/336 - t**7/168 + t**4/6 + 5*t. Let b(h) be the third derivative of v(h). Let b(a) = 0. What is a?
-3, -1, 0
Let l(v) be the second derivative of -v**6/90 - 7*v**5/20 - 10*v**4/3 - 50*v**3/9 - 483*v. Factor l(m).
-m*(m + 1)*(m + 10)**2/3
Suppose -5*j - 18 = -33. Let w(d) be the third derivative of 0*d**4 + 2*d**2 + 1/120*d**6 + 1/30*d**5 - 1/210*d**7 + 0 + 0*d**j + 0*d. Let w(s) = 0. What is s?
-1, 0, 2
Let f(w) be the third derivative of -w**7/1260 + 7*w**5/360 - w**4/24 + 51*w**2. Factor f(c).
-c*(c - 2)*(c - 1)*(c + 3)/6
Let b(f) = -3*f**2 + 711*f + 1478. Let j(z) = -z**2 + 142*z + 296. Let c(x) = -2*b(x) + 11*j(x). Solve c(a) = 0.
-2, 30
Let v(h) = -h**2 - 24*h + 85. Let b be v(-27). Let g(i) be the second derivative of 0 + 0*i**3 + 1/24*i**b - i - 1/4*i**2. Find c such that g(c) = 0.
-1, 1
Let a = -29/3 - -173/18. Let s = a - -25/18. Factor 0 - 2/3*z**2 - s*z**3 + 2/3*z.
-2*z*(z + 1)*(2*z - 1)/3
Let k = 8213 + -8213. Factor k - 2/3*m + 1/3*m**4 - m**2 + 0*m**3.
m*(m - 2)*(m + 1)**2/3
Let i be 1 + (115/15 - 7)*(-1)/2. What is m in 2/9*m**4 + 4/9*m - 2/9*m**2 + 2/9*m**5 + 0 - i*m**3 = 0?
-2, -1, 0, 1
Let r = -13237/5 + 2648. Solve 0 + 4/5*u + 1/5*u**4 + 0*u**2 - r*u**3 = 0 for u.
-1, 0, 2
Let f be 114862/44 - (-2)/(-4)*0. Let j = f - 2402. Determine r, given that 6 + 621/2*r**4 - 45/2*r**2 - 36*r + 243/2*r**5 + j*r**3 = 0.
-1, 2/9
Let k(u) = 14*u**2 - 154*u - 150. Let t(j) = 31*j**2 - 307*j - 299. Let v(i) = 13*k(i) - 6*t(i). Solve v(a) = 0 for a.
-39, -1
Factor 2/15*z**3 - 34/15*z**2 - 12/5*z + 0.
2*z*(z - 18)*(z + 1)/15
Let z = -2/4739 - -37918/14217. Factor 2/3*t**3 - 4/3*t**2 - z*t + 16/3.
2*(t - 2)**2*(t + 2)/3
Let c = 7501/60 + -125. Let y(b) be the third derivative of -b**2 + 1/24*b**4 + 0*b + 0*b**3 + 0 - c*b**5. Determine u so that y(u) = 0.
0, 1
Let m(l) = 7*l + 9 + l**3 + 1 + 1 + 0*l**2 + 7*l**2. Let y be m(-6). Determine z, given that 2*z**4 - 5 - z**3 + 3 + y*z**3 - 4*z = 0.
-1, 1
Suppose 16*h = 12*h + 16. Determine d so that 2/5*d**5 + 0*d + 0 - 2/5*d**3 + 4/5*d**2 - 4/5*d**h = 0.
-1, 0, 1, 2
Let n(y) = 2*y - 41. Let u be n(21). Let x(m) = 17*m - 14. Let h be x(u). Determine k so that -1/4*k**h - 5/4*k**2 - 7/4*k - 3/4 = 0.
-3, -1
Let l = -94223/7 - -13461. Determine m, given that -18/7 + l*m**2 - 3/7*m + 1/7*m**3 = 0.
-3, 2
Let m(h) be the first derivative of -2*h**5 + 265*h**4/12 - 85*h**3 + 225*h**2/2 + 45*h - 553. Solve m(c) = 0 for c.
-1/6, 3
Suppose -5*p + 18 = 3*c - 2*p, -24 = -5*c - 3*p. Suppose -2*h = c - 7. Determine m so that 3*m**2 + 12 + 14*m + m**h - 2*m - m**2 = 0.
-2
Let d be (48/180)/(10/75). Let t(r) be the second derivative of -6*r + 8/3*r**3 + 1/5*r**5 + 0 - 4/3*r**4 + 0*r**d. Factor t(p).
4*p*(p - 2)**2
Let n(x) be the second derivative of -5*x**7/168 + 11*x**6/60 - 19*x**5/40 + 2*x**4/3 - 13*x**3/24 + x**2/4 - x - 21. Factor n(k).
-(k - 1)**4*(5*k - 2)/4
Suppose 4*g - 1 = 15. Suppose 0 = g*s - p - 10, -9 = -2*s - 2*p + 1. Determine k so that -2*k**s + 2 + 0*k**2 + 6*k**3 + 5*k - 3*k**3 + 4*k**2 = 0.
-2, -1
Let w(q) be the third derivative of q**5/570 + q**4/38 - 16*q**3/57 - 61*q**2 - 2. Determine u so that w(u) = 0.
-8, 2
Let k(y) be the third derivative of 0*y + 0*y**3 + 0*y**5 + 0*y**6 + 28*y**2 + 2/105*y**7 + 0 - 1/84*y**8 + 0*y**4. Factor k(g).
-4*g**4*(g - 1)
Suppose 0 = 15800*y - 15793*y - 63. Suppose -y*v + 27 + 3/4*v**2 = 0. Calculate v.
6
Let y(f) be the third derivative of -f**8/336 - 13*f**7/210 - 29*f**6/60 - 9*f**5/5 - 3*f**4 - 17*f**2 + 3*f. Factor y(q).
-q*(q + 2)**2*(q + 3)*(q + 6)
Let j = -5870 + 5870. Factor -2/3*c**2 - 2/9*c**4 + j + 2/3*c**3 + 2/9*c.
-2*c*(c - 1)**3/9
Let p = 119 - 116. Let q = 19/6 - p. Factor 1/6*r**3 + 0 - 1/6*r - 1/6*r**2 + q*r**4.
r*(r - 1)*(r + 1)**2/6
Let r(n) be the first derivative of 0*n - 3 + 1/2*n**4 + 2/3*n**3 + 0*n**2. Suppose r(k) = 0