iven that -113/5*v**3 + 1/5*v**4 + 432/5 - 868/5*v + 548/5*v**2 = 0.
1, 2, 108
Let a(i) be the first derivative of 5*i**3/3 - 905*i**2/2 - 910*i + 1160. Factor a(v).
5*(v - 182)*(v + 1)
Determine s, given that 274/3*s**2 - 24 + 134/3*s**4 + 8*s - 346/3*s**3 - 14/3*s**5 = 0.
-3/7, 1, 2, 6
Let v(p) be the second derivative of -p**7/7560 + p**6/90 + 5*p**5/72 - 13*p**4/2 + 94*p. Let i(f) be the third derivative of v(f). Factor i(h).
-(h - 25)*(h + 1)/3
Let n = 13631 - 109039/8. Let w be (2/(-4))/(-6*8/192). Factor 1/4 + 7/8*p**w - n*p.
(p - 1)*(7*p - 2)/8
Let b(o) = -18*o + 56. Let a be b(3). Let l(v) = -14*v. Let s be l(-1). Factor -8 + 2 + 6*r**2 - r**a - s - 15*r.
5*(r - 4)*(r + 1)
Let y be (42 + -30)/((-6)/4). Let d be y/22 - (-546)/231. Determine k, given that -15/7*k**d + 0 + 6/7*k = 0.
0, 2/5
Let c(z) be the second derivative of z**5/270 - z**4/18 + z**3/3 - 40*z**2 + 47*z. Let s(m) be the first derivative of c(m). Factor s(o).
2*(o - 3)**2/9
Factor 822/11 + 820/11*k - 2/11*k**2.
-2*(k - 411)*(k + 1)/11
Let f(r) be the first derivative of r**3/3 + 266*r**2 - 533*r - 3042. What is u in f(u) = 0?
-533, 1
Let i(f) be the second derivative of 0 + 4*f + 5/27*f**3 + 14/9*f**2 - 1/54*f**4. What is k in i(k) = 0?
-2, 7
Let z(k) be the third derivative of 1587*k**7/70 + 46*k**6/5 + 16*k**5/15 - 968*k**2. Find d, given that z(d) = 0.
-8/69, 0
Let b(o) be the second derivative of 0 + 1/320*o**5 - 2*o + 0*o**2 - 1/960*o**6 - 5/2*o**3 + 1/32*o**4. Let j(k) be the second derivative of b(k). Factor j(s).
-3*(s - 2)*(s + 1)/8
Solve 15*g**2 + 0 - 105/2*g**4 - 147/4*g**5 + 9/4*g**3 - 3*g = 0 for g.
-1, 0, 2/7
Let -332 - 393 - 4 - 2151 + 3*o**2 + 2*o**2 = 0. Calculate o.
-24, 24
What is m in -5/6*m**2 - 221/6 - 553/3*m = 0?
-221, -1/5
Let y(s) = -33*s + 84. Let c(i) = 18*i - 42. Let x(b) = 7*c(b) + 4*y(b). Let k be x(7). Factor 2/5*u + k - 2/5*u**2.
-2*u*(u - 1)/5
Suppose 976092 = -13*d + 976092. Let 4/3*w**4 + d - 1/2*w**3 + 0*w - 1/3*w**2 - 1/2*w**5 = 0. What is w?
-1/3, 0, 1, 2
Let x(s) be the third derivative of 6 + 1/90*s**5 + 38/9*s**4 - 14*s**2 + 5776/9*s**3 + 0*s. Factor x(a).
2*(a + 76)**2/3
Let q(c) be the second derivative of -c**6/60 - 7*c**5/10 - 49*c**4/6 - 416*c. Factor q(l).
-l**2*(l + 14)**2/2
Factor 0 + 3/5*x**3 + 246/5*x - 249/5*x**2.
3*x*(x - 82)*(x - 1)/5
Suppose 401*n + 322 = 1684 + 643. Factor -1/6*a**n + 1/6*a**2 + 0*a - 1/6*a**4 + 1/6*a**3 + 0.
-a**2*(a - 1)*(a + 1)**2/6
Let i be (-56)/(-140) - 459/(-90) - 5. Determine u, given that i*u**2 - 7/2 - 3*u = 0.
-1, 7
Let j(c) be the first derivative of -1/2*c**3 + 0*c**2 + 15*c + 1/8*c**4 - 44. Let d(q) be the first derivative of j(q). Solve d(p) = 0.
0, 2
Let l(v) be the second derivative of 1/6*v**4 + 0 + 53*v + 2601*v**2 - 34*v**3. Factor l(k).
2*(k - 51)**2
Suppose 0 = 3*a + 6*a - 315. Let h = -32 + a. Factor -10*t**4 + 5*t**5 - 5*t + 8*t - h*t + 10*t**2 - 5*t**3.
5*t**2*(t - 2)*(t - 1)*(t + 1)
Let v = -95819/30 + 3194. Let x(t) be the second derivative of -1/15*t**6 + 0 + 2/3*t**2 - v*t**5 + 1/2*t**4 - 22*t + t**3. Suppose x(z) = 0. Calculate z.
-1, -1/3, 2
Let a(o) be the first derivative of -o**4/24 - 5*o**3/6 - 21*o**2/4 - 179*o - 128. Let b(p) be the first derivative of a(p). Let b(s) = 0. Calculate s.
-7, -3
Determine s, given that 2889*s - 2*s**4 + 3406*s - 1807*s - 68 - 2042*s**2 - 132*s**3 - 2244 = 0.
-34, 1
Let s(u) be the first derivative of -12/5*u**2 + 180 + 0*u + 147/10*u**4 - 147/25*u**5 + 4/5*u**3. Suppose s(q) = 0. Calculate q.
-2/7, 0, 2/7, 2
Suppose -300 = -2*r + 5*d - d, -5*r - 4*d + 708 = 0. Factor 36*l**3 + 240*l + 244*l**4 - 144*l**2 + 244*l**4 - 491*l**4 - r.
-3*(l - 6)*(l - 2)**3
Let f be (-6 + 98/35 + 4)*4/24. Let s(o) be the third derivative of 0 + 0*o**5 + 2/525*o**7 + 0*o**3 - 1/50*o**6 + f*o**4 + 0*o - 14*o**2. Factor s(j).
4*j*(j - 2)**2*(j + 1)/5
Suppose -40/7*g**2 - 1/7*g**3 - 39/7*g + 0 = 0. Calculate g.
-39, -1, 0
Let r be (3708/(-15141))/(20/(-105)). Determine t so that r*t**3 + 6*t + 0 - 3*t**4 + 69/7*t**2 - 3/7*t**5 = 0.
-7, -1, 0, 2
Let g(o) be the second derivative of 2*o**7/21 + 26*o**6/15 + 11*o**5/5 - 13*o**4/3 - 8*o**3 - 351*o - 3. Solve g(u) = 0 for u.
-12, -1, 0, 1
Suppose 3*h + 17*x = 18*x + 15, -2*x - 24 = -5*h. Let w be (656/48 + -15)/((-4)/h). Factor -2/5*c**5 + 4/5*c**3 + 0 - 2/5*c + 0*c**w + 0*c**4.
-2*c*(c - 1)**2*(c + 1)**2/5
Factor -16*b - 14*b**2 - 32/7.
-2*(7*b + 4)**2/7
Let b = 125 + -121. Suppose -5*n + 28 = 3*w, 7*n = b*n + 6. Factor w*z - 1 + 0*z + 6*z**2 + 3 + 2*z**3.
2*(z + 1)**3
Determine b so that -36 - 1/5*b**2 - 41/5*b = 0.
-36, -5
Let b(u) = -6*u**2 - 76*u. Let a(k) = -20*k - 15*k - k**2 - 3*k**2 - 16*k. Let h(v) = 8*a(v) - 5*b(v). Factor h(q).
-2*q*(q + 14)
Let 167/9*r**2 + 0 + 1/9*r**4 + 200/9*r - 32/9*r**3 = 0. What is r?
-1, 0, 8, 25
Let d(u) = u + 11. Let c be d(-11). Suppose v - 11 = -2*h, -11*v + 14 = -9*v + 2*h. Factor 20*t**2 + 39*t + c*t**v - 4*t**3 - 55*t.
-4*t*(t - 4)*(t - 1)
Let o(w) = -w**3 - 2*w**2 + 13*w - 7. Suppose 8 = -14*q + 36. Let r be o(q). Factor 2/3*d**r + 0 - 4/3*d - 2/3*d**2.
2*d*(d - 2)*(d + 1)/3
Let q(o) = o**3 - 49*o**2 + 138*o + 2. Let r be q(46). What is b in 0 + 0*b**r - 2/5*b**4 - 1/5*b**5 - 1/5*b**3 + 0*b = 0?
-1, 0
Find o, given that 32*o**2 + 533 + 38*o**2 - 80*o**2 - 575*o + 52 = 0.
-117/2, 1
Let f(u) be the third derivative of 0*u**3 + 0*u + 3/8*u**4 + u**2 - 38 - 1/60*u**5. Determine a so that f(a) = 0.
0, 9
Solve 32805/2 + 6075*s**2 + 165/2*s**4 + 32805/2*s + 5/2*s**5 + 1035*s**3 = 0 for s.
-9, -3
Solve 0*k - 3*k**2 + 1/2*k**4 + 0 - 5/2*k**3 = 0 for k.
-1, 0, 6
Factor -35/2*c**2 + c**3 - 59/2*c + 19.
(c - 19)*(c + 2)*(2*c - 1)/2
Let z(m) = -15*m**2 - 6021*m - 9126427. Let r(i) = 13*i**2 + 6024*i + 9126429. Let g(t) = -14*r(t) - 12*z(t). Find f, given that g(f) = 0.
-3021
Let a(w) = 4*w**3 - 5*w**2 + 11*w - 20. Let x be a(8). Let x*d**2 + 12*d - 3*d**3 - 1796*d**2 = 0. Calculate d.
-2, 0, 2
Suppose 0*x**4 - 4*x**4 - 2269*x**2 + 28*x**3 + 3*x + 29*x + 2213*x**2 = 0. Calculate x.
0, 1, 2, 4
Solve -3/8*r**2 - 3396*r - 7688544 = 0.
-4528
Let v(y) be the second derivative of -2*y**5 - 3*y - 5/6*y**6 + 50/3*y**3 + 0 + 145/12*y**4 - 30*y**2. Suppose v(c) = 0. Calculate c.
-3, -1, 2/5, 2
Let a(b) = -b**3 - 2*b**2 + 7*b + 14. Let l = 500 + -503. Let x be a(l). Suppose -5/3*s + 1/3*s**x + 2 = 0. Calculate s.
2, 3
Let i = 2041735/3 - 680576. Factor -1/3*h**2 + i*h + 8/3.
-(h - 8)*(h + 1)/3
Let l(a) be the third derivative of -a**5/15 + 128*a**4/3 + 344*a**3 + 235*a**2 + 3*a. Factor l(m).
-4*(m - 258)*(m + 2)
Factor 174*n**3 + 81*n**4 - 3*n**5 - 4207287*n + 4207287*n.
-3*n**3*(n - 29)*(n + 2)
Let f(h) be the third derivative of -h**6/90 + 34*h**5/15 - 416*h**4/3 - 10816*h**3/9 + 2*h**2 + 19*h. Factor f(m).
-4*(m - 52)**2*(m + 2)/3
Let x(l) be the first derivative of 2 + 4/3*l**3 + 2*l**2 + 0*l. Factor x(y).
4*y*(y + 1)
What is r in -176*r**2 + 35972*r**5 - 71949*r**5 - 416*r + 44*r**4 + 35973*r**5 + 120*r**3 = 0?
-2, 0, 2, 13
Let z be (-2)/7 - 0 - (-316)/28. Factor -8 + 0*r - 5*r**2 + 7 + z - 2*r + 7*r.
-5*(r - 2)*(r + 1)
Suppose 471*g - 1933 = -49. Let 0 - 368/13*t**2 + 18/13*t**5 - 148/13*t**g + 392/13*t**3 + 64/13*t = 0. What is t?
0, 2/9, 2, 4
Let q be 2 - -6*(-16)/54. Suppose -65*v + 603*v - 1614 = 0. Factor 0 + 0*b**v + 0*b + 2/9*b**2 - q*b**4.
-2*b**2*(b - 1)*(b + 1)/9
Suppose 19 - 5 = 5*f + 2*u, -3*u - 13 = -f. Suppose 0 = -5*n + f*j + 32, -2*n - 5*j - 35 = -7*n. Factor 0 + 4/21*w**2 + 2/21*w**5 - 2/21*w + 0*w**3 - 4/21*w**n.
2*w*(w - 1)**3*(w + 1)/21
Let q be 28/(-21)*9/(-4). Let -2 + q*c**4 + 0*c - 282*c**2 - 2*c**5 + 5*c**3 + 7*c + 2*c + 269*c**2 = 0. What is c?
-2, 1/2, 1
Let b be (208/(-40))/(5161/(-1985)). Factor 14/9 + 10/9*v**b - 8*v.
2*(v - 7)*(5*v - 1)/9
Let f(r) = -13*r + 173. Let q be f(13). Let w(l) be the first derivative of -7/12*l**q + 8/3*l**2 - 5/9*l**3 - 5 - 4/3*l. Factor w(h).
-(h - 1)*(h + 2)*(7*h - 2)/3
Let r be 6/(216/114) + 1/(-6). Determine x, given that -6*x**2 + 12*x**3 - 7*x**3 + x**2 + 0*x**r + 560 - 200*x = 0.
-7, 4
Let v(i) = 199*i. Let x(j) = 61*j + 549. Let k be x(-9). Let a be v(k). Factor 2/3*y**3 + a*y**2 + 0*y + 0.
2*y**3/3
Let c(k) be the third derivative of -95/24*k**4 + 1/6*k**5 + 20*k**3 - 2*k**2 + 0 + 6*k. Factor c(y).
5*(y - 8)*(2*y - 