so that -3*f**3 - 1167*f**2 - 117465*f - 766101 = 0.
-191, -7
Factor m**3 - 11*m**2 + 36*m - 36.
(m - 6)*(m - 3)*(m - 2)
Factor -2*j**2/9 - 22*j/9 - 20/9.
-2*(j + 1)*(j + 10)/9
Determine j, given that -j**3/2 + 3*j**2/2 + 11*j - 12 = 0.
-4, 1, 6
Find x, given that 2*x**4/9 - 10*x**2/9 + 8/9 = 0.
-2, -1, 1, 2
Factor -3*s**4/4 - 993*s**3/2 - 326691*s**2/4 + 164838*s - 82668.
-3*(s - 1)**2*(s + 332)**2/4
What is q in -q**4/2 - 5*q**3/4 + 5*q**2/4 + 5*q/4 - 3/4 = 0?
-3, -1, 1/2, 1
Solve -2*m**4 + 20*m**3 - 16*m**2 - 20*m + 18 = 0.
-1, 1, 9
Let -n**3 + 2*n**2 + 3*n = 0. What is n?
-1, 0, 3
Suppose 4*z**3 + 84*z**2 - 420*z - 500 = 0. What is z?
-25, -1, 5
Factor 12*x**3 - 57*x**2 - 15*x.
3*x*(x - 5)*(4*x + 1)
Solve -4*z**3 + 28*z**2 - 57*z + 36 = 0 for z.
3/2, 4
Factor -2*k**3 + 360*k**2 + 362*k.
-2*k*(k - 181)*(k + 1)
Factor -2*s**3 - 46*s**2 - 286*s - 242.
-2*(s + 1)*(s + 11)**2
Let -3*p**4 + 57*p**3 - 210*p**2 = 0. Calculate p.
0, 5, 14
Suppose 7*s**3 + 123*s**2 + 180*s + 64 = 0. Calculate s.
-16, -1, -4/7
What is o in 5*o**5/6 + o**4/2 - 17*o**3/6 - 19*o**2/6 + 2/3 = 0?
-1, 2/5, 2
Factor -5*j**5/2 - 20*j**4 - 65*j**3/2 - 15*j**2.
-5*j**2*(j + 1)**2*(j + 6)/2
Factor 25*h**3 + 3265*h**2 - 7960*h + 2660.
5*(h - 2)*(h + 133)*(5*h - 2)
Solve -2*q**5/15 - 2*q**4/15 + 2*q**3/3 + 2*q**2/15 - 16*q/15 + 8/15 = 0 for q.
-2, 1
Determine v so that 2*v**5 - 4*v**4 - 6*v**3 + 16*v**2 - 8*v = 0.
-2, 0, 1, 2
Factor 3*i**2 + 156*i + 2028.
3*(i + 26)**2
Solve 5*r**3/4 + 35*r**2/2 - 150*r = 0.
-20, 0, 6
Suppose -2*w**2/9 + 266*w/9 + 268/9 = 0. Calculate w.
-1, 134
Factor -5*i**2 + 190*i.
-5*i*(i - 38)
Suppose y**2/4 - y/2 = 0. What is y?
0, 2
What is o in 55*o**3 + 155*o**2 + 80*o - 20 = 0?
-2, -1, 2/11
Determine j, given that -2*j**4 - 37*j**3 + 19*j**2 = 0.
-19, 0, 1/2
Factor -3*o**2 - 21*o + 90.
-3*(o - 3)*(o + 10)
Factor -5*f**2/4 - 6153*f/4 + 1231/2.
-(f + 1231)*(5*f - 2)/4
Factor -3*x**3 + 21*x**2 - 45*x + 27.
-3*(x - 3)**2*(x - 1)
Factor 5*n**3 + 55*n**2 + 160*n + 140.
5*(n + 2)**2*(n + 7)
Factor y**2/2 - 1133*y/2 - 567.
(y - 1134)*(y + 1)/2
Factor 4*n**4 - 140*n**3 + 392*n**2 - 256*n.
4*n*(n - 32)*(n - 2)*(n - 1)
Find z such that -4*z**5 - 87*z**4 - 54*z**3 + 187*z**2 - 42*z = 0.
-21, -2, 0, 1/4, 1
Find t such that -2*t**2/9 - 8*t/9 = 0.
-4, 0
Factor 2*g**3 - 64*g**2.
2*g**2*(g - 32)
What is r in 4*r**3 - 100*r**2 - 184*r + 2080 = 0?
-5, 4, 26
Factor -121*h**5 - 627*h**4 - 1299*h**3 - 1345*h**2 - 696*h - 144.
-(h + 1)**3*(11*h + 12)**2
Let 49*a**2/4 - 1267*a/2 + 32761/4 = 0. What is a?
181/7
Determine f, given that -2*f**5/5 + 4*f**4/5 + 6*f**3/5 - 8*f**2/5 - 8*f/5 = 0.
-1, 0, 2
Factor 2*i**5/9 - 76*i**4/9 + 962*i**3/9 - 1520*i**2/3 + 800*i.
2*i*(i - 15)**2*(i - 4)**2/9
Let d**4/11 - 80*d**3/11 + 1600*d**2/11 = 0. What is d?
0, 40
Solve p**5 - 5*p**4 - 48*p**3 + 252*p**2 = 0 for p.
-7, 0, 6
Determine j, given that 4*j**5 - 70*j**4 + 144*j**3 + 90*j**2 = 0.
-1/2, 0, 3, 15
Factor 4*s**3 + 118*s**2 + 458*s + 200.
2*(s + 4)*(s + 25)*(2*s + 1)
Suppose -2*o**4/5 + 1336*o**3/5 + 804*o**2 + 4024*o/5 + 1342/5 = 0. Calculate o.
-1, 671
Determine r so that 4*r**2 + 848*r + 44944 = 0.
-106
Let -t**3 + 3*t**2 - 4 = 0. What is t?
-1, 2
Find j such that -2*j**5/7 - 68*j**4/7 - 642*j**3/7 - 1088*j**2/7 - 512*j/7 = 0.
-16, -1, 0
What is v in v**4 + 208*v**3 - 3*v**2 - 626*v - 416 = 0?
-208, -1, 2
What is g in -2*g**5 + 5*g**4 + 16*g**3 - 13*g**2 - 14*g + 8 = 0?
-2, -1, 1/2, 1, 4
Let 2*h**3/7 + 76*h**2/7 - 130*h + 2400/7 = 0. Calculate h.
-48, 5
Solve z**2 + 256*z + 16384 = 0 for z.
-128
Solve 5*i**4 + 220*i**3 = 0 for i.
-44, 0
Let -2*b**4 + 10*b**3 + 12*b**2 = 0. Calculate b.
-1, 0, 6
Factor -3*u**2/5 - 3*u/5 + 6/5.
-3*(u - 1)*(u + 2)/5
Determine w so that -560*w**5 - 440*w**4 + 445*w**3 + 465*w**2 + 90*w = 0.
-3/4, -2/7, 0, 1
Factor -f**4/2 + 10*f**3 - 48*f**2 - 128*f + 1024.
-(f - 8)**3*(f + 4)/2
Let -2*a**2/7 - 4*a - 26/7 = 0. Calculate a.
-13, -1
What is n in -4*n**3/5 - 40*n**2 - 876*n/5 + 216 = 0?
-45, -6, 1
Determine u so that 4*u**2 - 100*u - 1584 = 0.
-11, 36
Determine s, given that -s**3/3 + 16*s**2/3 + 17*s/3 = 0.
-1, 0, 17
Factor -2*s**2/7 + 104*s/7 - 1350/7.
-2*(s - 27)*(s - 25)/7
Determine c so that 15*c**3 + 744*c**2 + 435*c - 294 = 0.
-49, -1, 2/5
Suppose 2*n**3/3 + 14*n**2 + 26*n + 38/3 = 0. Calculate n.
-19, -1
Factor 3*c**5/5 - 12*c**4 + 372*c**3/5 - 462*c**2/5 - 1911*c/5 + 2058/5.
3*(c - 7)**3*(c - 1)*(c + 2)/5
Determine p so that -3*p**4/5 + 24*p**3/5 - 33*p**2/5 - 12*p = 0.
-1, 0, 4, 5
Find x, given that x**5 - 8*x**4 + 15*x**3 + 8*x**2 - 16*x = 0.
-1, 0, 1, 4
Factor -w**4 + 46*w**3 + 47*w**2.
-w**2*(w - 47)*(w + 1)
What is p in -16*p**5/5 + 918*p**4/25 - 82*p**3/5 - 1266*p**2/25 + 98*p/5 + 348/25 = 0?
-1, -2/5, 1, 87/8
Factor -2*h**2 - 18*h - 28.
-2*(h + 2)*(h + 7)
Find x such that -5*x**5 + 50*x**4 - 45*x**3 = 0.
0, 1, 9
Factor i**4/2 - i**3/2 - 4*i**2 + 6*i.
i*(i - 2)**2*(i + 3)/2
Factor -c**4/4 + 5*c**3/4 + 11*c**2/4 - 33*c/4 + 9/2.
-(c - 6)*(c - 1)**2*(c + 3)/4
Solve -4*m**4 + 12*m**3 + 16*m**2 = 0 for m.
-1, 0, 4
Factor 2*i**5/5 - 6*i**4/5 - 14*i**3/5 + 14*i**2/5 + 36*i/5 + 16/5.
2*(i - 4)*(i - 2)*(i + 1)**3/5
Solve 4*o**2 + 21856*o + 29855296 = 0 for o.
-2732
Suppose -d**3/3 - 31*d**2 - 561*d + 7803 = 0. What is d?
-51, 9
Factor -g**2/5 + 16*g/5 - 39/5.
-(g - 13)*(g - 3)/5
Factor 121*c**4 - 550*c**3 + 757*c**2 - 300*c + 36.
(c - 2)**2*(11*c - 3)**2
Factor 2*r**5/19 - 36*r**4/19 - 270*r**3/19 - 432*r**2/19.
2*r**2*(r - 24)*(r + 3)**2/19
Let 3*z**3/5 + 7*z**2 - 104*z/5 - 84/5 = 0. Calculate z.
-14, -2/3, 3
Find q such that q**5/3 - 7*q**4 + 170*q**3/3 - 650*q**2/3 + 375*q - 625/3 = 0.
1, 5
Let -z**2 + 3*z - 2 = 0. What is z?
1, 2
Determine g so that 4*g**5/5 - 62*g**4/5 + 306*g**3/5 - 398*g**2/5 - 94*g + 60 = 0.
-1, 1/2, 5, 6
Let -2*r**2/5 + 232*r/15 - 952/15 = 0. Calculate r.
14/3, 34
Find r, given that -2*r**3 + 10*r**2 - 16*r + 8 = 0.
1, 2
Factor 5*x**3 - 6240*x**2 + 2595840*x - 359956480.
5*(x - 416)**3
Factor 4*d**2 - 160*d - 336.
4*(d - 42)*(d + 2)
Factor -2*z**4/11 + 8*z**3/11 + 52*z**2/11 - 120*z/11 - 450/11.
-2*(z - 5)**2*(z + 3)**2/11
Factor 5*d**2 + 90*d + 160.
5*(d + 2)*(d + 16)
Factor 3*l**2 + 144*l - 300.
3*(l - 2)*(l + 50)
Let -5*x**4 - 5390*x**3 - 16140*x**2 - 16130*x - 5375 = 0. Calculate x.
-1075, -1
Factor f**3 + 56*f**2 - 115*f + 58.
(f - 1)**2*(f + 58)
Find n, given that -262*n**3/5 + 24*n**2/5 + 262*n/5 - 24/5 = 0.
-1, 12/131, 1
Suppose -x**5 - 4*x**4 + 53*x**3 + 168*x**2 = 0. What is x?
-8, -3, 0, 7
Factor 4*f**2 + 136*f + 256.
4*(f + 2)*(f + 32)
Find x such that -2*x**4/9 + 38*x**3/9 - 100*x**2/9 + 64*x/9 = 0.
0, 1, 2, 16
Suppose -t**5/6 - 991*t**4/6 + 331*t**3/2 + 991*t**2/6 - 496*t/3 = 0. What is t?
-992, -1, 0, 1
Let 5*z**4 + 375*z**3 - 2830*z**2 + 3360*z + 6560 = 0. What is z?
-82, -1, 4
Factor 11*b**2/7 - 2491*b/7 - 1362/7.
(b - 227)*(11*b + 6)/7
Solve -20*s**5 - 620*s**4 + 3535*s**3 - 2490*s**2 - 5445*s - 1620 = 0.
-36, -1/2, 3
Factor -3*j**4 + 30*j**3 + 309*j**2 + 780*j + 612.
-3*(j - 17)*(j + 2)**2*(j + 3)
Let 26*s**4/9 + 1012*s**3/9 + 2626*s**2/9 - 3952*s/9 + 32 = 0. What is s?
-36, -4, 1/13, 1
Factor 14*x**4 - 144*x**3 - 114*x**2 + 44*x.
2*x*(x - 11)*(x + 1)*(7*x - 2)
Factor d**2 - 14*d - 72.
(d - 18)*(d + 4)
Suppose -z**5 - 15*z**4 - 61*z**3 + 15*z**2 + 350*z = 0. What is z?
-7, -5, 0, 2
Let 2*d**4/7 + 416*d**3/7 - 7920*d**2/7 + 6912*d - 97632/7 = 0. What is d?
-226, 6
Find h such that 2*h**3/3 - 28*h**2/3 = 0.
0, 14
Determine v so that -4*v**5 + 12*v**4 + 36*v**3 + 20*v**2 = 0.
-1, 0, 5
Solve -2*b**4/7 + 36*b**3 - 7682*b**2/7 - 2304*b - 8192/7 = 0.
-1, 64
Find u, given that -18*u**4/17 + 520*u**3/17 + 598*u**2/17 + 60*u/17 = 0.
-1, -1/9, 0, 30
Factor 5*f**3/3 + 20*f**2/3 + 5*f/3 - 10.
5*(f - 1)*(f + 2)*(f + 3)/3
Factor 648*z**2/11 - 13032*z/11 + 65522/11.
2*(18*z - 181)**2/11
Let w**3/4 + 25*w**2/4 + 48*w + 117 = 0. What is w?
-13, -6
Factor 6*b**4/17 + 274*b**3/17 + 3082*b**2/17 - 1058*b/17.
2*b*(b + 23)**2*(3*b - 1)/17
Factor -2*d**4/7 - 38*d**3/7 - 180*d**2/7 - 328*d/7 - 208/7.
-2*(d + 2)**3*(d + 13)/7
Find v such that 2*v**2/17 + 16*v/17 + 30/17 = 0.
-5, -3
Find k such that -4*k**2 - 816*k - 41616 = 0.
-102
Factor c**3/3 + 22*c**2/3 - 73*c/3 + 50/3.
(c - 2)*(c - 1)*(c + 25)/3
What is m in m**4 - 2*m**3