11*o/2 + 42483 = 0. Calculate o.
-119, -2
Factor -5*d**2/2 + 100*d - 190.
-5*(d - 38)*(d - 2)/2
Factor 36*s**3 - 80*s**2 - 92*s + 24.
4*(s - 3)*(s + 1)*(9*s - 2)
Factor u**2/8 + 15*u/4 - 125.
(u - 20)*(u + 50)/8
Factor -l**3/2 + 607*l**2/2.
-l**2*(l - 607)/2
Solve 2*j**3/3 - 628*j**2/3 - 2*j/3 + 628/3 = 0 for j.
-1, 1, 314
Factor -4*k**5 + 152*k**4 - 1444*k**3.
-4*k**3*(k - 19)**2
Factor -20*h**3 - 1652*h**2 + 5824*h - 2064.
-4*(h - 3)*(h + 86)*(5*h - 2)
Factor 4*v**3 + 24*v**2 - 64*v - 384.
4*(v - 4)*(v + 4)*(v + 6)
Solve -2*m**4 + 124*m**3 - 2258*m**2 + 10416*m - 14112 = 0.
3, 28
Factor -3*m**4 - 174*m**3 - 2847*m**2 - 9396*m - 8748.
-3*(m + 2)**2*(m + 27)**2
Suppose 45*t**4 + 170*t**3 - 85*t**2 - 170*t + 40 = 0. What is t?
-4, -1, 2/9, 1
Determine c, given that -2*c**3 + 46*c**2 + 100*c = 0.
-2, 0, 25
Find l such that -8*l**5/3 - 2*l**4 + 16*l**3/3 + 4*l**2 - 8*l/3 - 2 = 0.
-1, -3/4, 1
Factor -5*w**5 - 10*w**4 + 10*w**2 + 5*w.
-5*w*(w - 1)*(w + 1)**3
Determine d so that 5*d**3 + 95*d**2 - 205*d + 105 = 0.
-21, 1
Factor -4*v**2/3 + 1076*v/3 + 1088.
-4*(v - 272)*(v + 3)/3
Factor d**4/5 - 73*d**3/5 + 139*d**2/5 + 213*d/5.
d*(d - 71)*(d - 3)*(d + 1)/5
Find n, given that 4*n**5 - 444*n**4 + 12532*n**3 - 11220*n**2 - 24200*n = 0.
-1, 0, 2, 55
Factor 4*p**4 + 20*p**3 - 24*p**2 - 128*p + 128.
4*(p - 2)*(p - 1)*(p + 4)**2
Factor -4*j**4 + 72*j**3 + 252*j**2 + 16*j - 336.
-4*(j - 21)*(j - 1)*(j + 2)**2
Factor 3*b**3 - 57*b**2 + 165*b + 225.
3*(b - 15)*(b - 5)*(b + 1)
Factor 6*f**2/5 - 88*f/5 + 56/5.
2*(f - 14)*(3*f - 2)/5
Suppose 2*o**2/5 + 12*o + 58/5 = 0. Calculate o.
-29, -1
Find y, given that y**4/2 - y**3/2 - 13*y**2/2 + y/2 + 6 = 0.
-3, -1, 1, 4
Let -12*i**4 - 20*i**3 + 296*i**2 - 96*i = 0. Calculate i.
-6, 0, 1/3, 4
Find j, given that 4*j**2 + 7816*j - 15648 = 0.
-1956, 2
Determine s, given that -36992*s**2/5 + 3808*s/5 - 98/5 = 0.
7/136
Factor -s**5/4 - 71*s**4/4 + 145*s**3/4 - 73*s**2/4.
-s**2*(s - 1)**2*(s + 73)/4
Suppose 2*w**2/7 - 164*w/7 + 162/7 = 0. What is w?
1, 81
Let g**2 - 180*g - 549 = 0. Calculate g.
-3, 183
Factor -o**4/6 + 8*o**3/3 - 10*o**2.
-o**2*(o - 10)*(o - 6)/6
Suppose u**4/6 + 53*u**3/6 + 259*u**2/2 + 1975*u/6 + 625/3 = 0. Calculate u.
-25, -2, -1
Factor -5*l**2 - 820*l.
-5*l*(l + 164)
Factor -p**3 + 23*p**2 - 91*p - 507.
-(p - 13)**2*(p + 3)
Factor 3*o**5 - 861*o**4 + 2556*o**3.
3*o**3*(o - 284)*(o - 3)
Let -3*d**4/4 - 9*d**3/4 - 9*d**2/4 - 3*d/4 = 0. What is d?
-1, 0
Factor 3*v**4 - 33*v**3 + 72*v**2 + 108*v.
3*v*(v - 6)**2*(v + 1)
Factor 3*j**2 + 3*j - 90.
3*(j - 5)*(j + 6)
Factor -63075*z**4/2 + 1740*z**3 - 24*z**2.
-3*z**2*(145*z - 4)**2/2
Factor -j**3/3 + 12*j**2 + 76*j/3.
-j*(j - 38)*(j + 2)/3
Let 2*t**2/11 - 740*t/11 = 0. Calculate t.
0, 370
Factor -4*n**4 + 4*n**3 + 32*n**2 - 48*n.
-4*n*(n - 2)**2*(n + 3)
Factor -v**3/2 + 149*v**2/4 - 160*v + 175.
-(v - 70)*(v - 2)*(2*v - 5)/4
Suppose p**3 - 12*p + 16 = 0. What is p?
-4, 2
Factor 4*n**5/5 + 832*n**4/5 + 57124*n**3/5 + 251048*n**2 - 537040*n + 274400.
4*(n - 1)**2*(n + 70)**3/5
Determine g, given that -g**5/4 + 7*g**4/2 - 31*g**3/4 - 17*g**2/2 + 35*g - 22 = 0.
-2, 1, 2, 11
Solve -3*a**4 - 108*a**3 - 1026*a**2 - 204*a + 13005 = 0 for a.
-17, -5, 3
Find x such that 2*x**4/13 - 46*x**3/13 + 162*x**2/13 - 194*x/13 + 76/13 = 0.
1, 2, 19
Find f, given that 2*f**3/3 + 76*f**2 + 2240*f + 12544/3 = 0.
-56, -2
Let -r**4 + 121*r**3/3 - 40*r**2/3 = 0. Calculate r.
0, 1/3, 40
Factor -4*c**2/7 + 242*c/7 + 122/7.
-2*(c - 61)*(2*c + 1)/7
Factor -3*l**2/2 + 237*l/2 + 765.
-3*(l - 85)*(l + 6)/2
Suppose -2*p**4/7 + 16*p**3/7 + 50*p**2/7 - 88*p/7 - 120/7 = 0. What is p?
-3, -1, 2, 10
Find c such that -24*c**5 + 74*c**4 - 36*c**3 - 46*c**2 + 24*c + 8 = 0.
-2/3, -1/4, 1, 2
Suppose 5*a**2 - 8160*a + 3329280 = 0. Calculate a.
816
Solve k**5 + k**4 - 11*k**3 + 7*k**2 + 10*k - 8 = 0.
-4, -1, 1, 2
Suppose -3*r**5 - 3*r**4/2 + 30*r**3 + 15*r**2 - 27*r - 27/2 = 0. Calculate r.
-3, -1, -1/2, 1, 3
Factor 4*g**2 - 11608*g - 11612.
4*(g - 2903)*(g + 1)
Factor u**2/5 - 182*u + 41405.
(u - 455)**2/5
Factor -3*l**2/7 + 78*l/7 - 264/7.
-3*(l - 22)*(l - 4)/7
Factor 5*r**3 + 195*r**2 + 1800*r - 2000.
5*(r - 1)*(r + 20)**2
Determine i, given that 3*i**4 - 15*i**3 + 15*i**2 + 15*i - 18 = 0.
-1, 1, 2, 3
Factor -4*k**3 + 168*k**2 + 4*k - 168.
-4*(k - 42)*(k - 1)*(k + 1)
Find s such that 2*s**4/3 - 4*s**3/3 - 2*s**2 = 0.
-1, 0, 3
Let 2*v**4/5 + 72*v**3 + 1068*v**2/5 + 1064*v/5 + 354/5 = 0. What is v?
-177, -1
Suppose -o**2 + 7*o + 44 = 0. Calculate o.
-4, 11
Factor 32*o**4 - 336*o**3 + 706*o**2 - 546*o + 144.
2*(o - 8)*(o - 1)*(4*o - 3)**2
Factor x**3/6 + 35*x**2/2 + 151*x/3 - 68.
(x - 1)*(x + 4)*(x + 102)/6
Solve -3*m**4 - 18*m**3 - 12*m**2 + 18*m + 15 = 0.
-5, -1, 1
Solve 2*t**3 - 114*t**2 + 2016*t - 10368 = 0.
9, 24
Factor -4*s**2 + 3180*s.
-4*s*(s - 795)
Factor -4*c**3/9 - 20*c**2/9 + 4*c/9 + 20/9.
-4*(c - 1)*(c + 1)*(c + 5)/9
Factor s**2/3 - 36*s + 972.
(s - 54)**2/3
Factor t**2 + 13*t + 30.
(t + 3)*(t + 10)
Factor o**2/2 - 49*o + 2401/2.
(o - 49)**2/2
Find g, given that 3*g**5/5 - 36*g**4/5 + 24*g**3/5 + 114*g**2/5 - 171*g/5 + 66/5 = 0.
-2, 1, 11
What is o in 2*o**4 + 340*o**3 + 14104*o**2 - 29584*o = 0?
-86, 0, 2
Find h, given that 4*h**3 + 2144*h**2 + 8528*h + 8512 = 0.
-532, -2
Factor 4*h**3 + 68*h**2 + 256*h + 192.
4*(h + 1)*(h + 4)*(h + 12)
What is y in y**2/2 - 305*y = 0?
0, 610
Let 3*s**4 + 6*s**3 - 429*s**2 - 432*s + 15552 = 0. What is s?
-9, 8
Factor d**5/5 + 516*d**4/5 + 67078*d**3/5 + 132612*d**2/5 + 66049*d/5.
d*(d + 1)**2*(d + 257)**2/5
Factor 2*d**3/7 - 502*d**2/7 + 1984*d/7 - 1976/7.
2*(d - 247)*(d - 2)**2/7
Factor y**5 - 12*y**4 + 46*y**3 - 60*y**2 + 25*y.
y*(y - 5)**2*(y - 1)**2
Factor -10*d**2/13 + 12*d/13 - 2/13.
-2*(d - 1)*(5*d - 1)/13
Factor 4*s**4 + 20*s**3.
4*s**3*(s + 5)
Find y, given that y**4/5 + 23*y**3/5 + 18*y**2 = 0.
-18, -5, 0
Find m, given that -3*m**3 - 42*m**2 - 48*m + 288 = 0.
-12, -4, 2
Determine g so that 4*g**4 - 8*g**3 - 48*g**2 - 56*g - 20 = 0.
-1, 5
Solve f**3 + 733*f**2 - 1470*f = 0 for f.
-735, 0, 2
Factor 4*k**3 - 48*k**2 - 112*k.
4*k*(k - 14)*(k + 2)
Solve 10*w**4/3 - 896*w**3/3 - 730*w**2 - 1652*w/3 - 368/3 = 0.
-1, -2/5, 92
What is z in -11*z**5 + 34*z**4 - 36*z**3 + 14*z**2 - z = 0?
0, 1/11, 1
Factor -2*p**3/9 + 22*p**2/9 - 56*p/9.
-2*p*(p - 7)*(p - 4)/9
Suppose 4*t**3 - 244*t**2 - 2804*t - 2556 = 0. Calculate t.
-9, -1, 71
Determine o, given that 2*o**4/17 + 28*o**3/17 + 96*o**2/17 - 28*o/17 - 98/17 = 0.
-7, -1, 1
Factor 3*g**5 + 9*g**4 - 6*g**3 - 36*g**2 - 24*g.
3*g*(g - 2)*(g + 1)*(g + 2)**2
Determine w, given that w**2/5 + 972*w/5 + 236196/5 = 0.
-486
Let u**5 - 10*u**4 + 12*u**3 + 58*u**2 + 35*u = 0. Calculate u.
-1, 0, 5, 7
Find k such that -k**2 + 3*k = 0.
0, 3
Determine d so that d**4 - 2*d**3 - 12*d**2 + 8*d + 32 = 0.
-2, 2, 4
Factor -4*o**4 - 8*o**3 - 4*o**2.
-4*o**2*(o + 1)**2
Factor -6*d**4 + 6*d**3 + 21*d**2/2 + 3*d.
-3*d*(d - 2)*(2*d + 1)**2/2
Factor 2*r**3 + 49*r**2 + 150*r + 63.
(r + 3)*(r + 21)*(2*r + 1)
Factor 2*t**4/7 + 44*t**3/7 - 146*t**2/7 + 100*t/7.
2*t*(t - 2)*(t - 1)*(t + 25)/7
Find u such that 2*u**2/7 + 10*u/7 - 1728/7 = 0.
-32, 27
Solve -x**4/2 + 16*x**3 + 3*x**2/2 - 49*x + 32 = 0.
-2, 1, 32
Factor -2*z**3 + 1446*z**2 + 2*z - 1446.
-2*(z - 723)*(z - 1)*(z + 1)
Factor -i**4 - 12*i**3 + 14*i**2 + 12*i - 13.
-(i - 1)**2*(i + 1)*(i + 13)
Determine t, given that t**3/10 + t**2/5 - 3*t/10 = 0.
-3, 0, 1
Suppose 4*v**3 + 40*v**2 + 68*v - 112 = 0. What is v?
-7, -4, 1
Determine p so that 3*p**2/2 - 63*p/2 - 33 = 0.
-1, 22
Solve 5*w**3 - 1210*w**2 - 12475*w - 31500 = 0.
-5, 252
Factor -v**3/6 + 77*v**2/6 - 928*v/3 + 6656/3.
-(v - 32)**2*(v - 13)/6
Factor 5*v**2/6 + 5840*v/3 - 3895/2.
5*(v - 1)*(v + 2337)/6
Determine o, given that -o**5 + 27*o**3 - 22*o**2 - 192*o + 288 = 0.
-4, 2, 3
Factor -i**3 - 703*i**2 - 702*i.
-i*(i + 1)*(i + 702)
Factor c**2/5 - 8*c/5 + 12/5.
(c - 6)*(c - 2)/5
Factor 12*q**2/5 - 776*q/5 - 1876/5.
4*(q - 67)*(3*q + 7)/5
Factor 5*t**5 - 30*t**4 + 60*t**3 - 50*t**2 + 15*t.
5*t*(t - 3)*(t - 1)**3
Factor -25*a**2 - 5945*a - 4740.
-5*(a + 237)*(5*a + 4)
Factor 6*i**3 + 46*i**2 - 70*i + 18.
2*(i - 1)*(i + 9)*(3*i - 1)
Let 32*n**4/3 - 16*n**3 + 2*n**2/3 + 4*n + 2/3 = 0. Calculate n.
-1/4, 1
Let -12*o**3 - 7532*o**2 -