tor -c**3 + 22*c**2 - 153*c + 324.
-(c - 9)**2*(c - 4)
Determine t, given that t**3/2 - 5*t**2/2 - 25*t/2 + 125/2 = 0.
-5, 5
Factor 2*y**4 - 22*y**2 - 36*y - 16.
2*(y - 4)*(y + 1)**2*(y + 2)
Determine t so that -3*t**3 - 5217*t**2 - 2270697*t - 2265483 = 0.
-869, -1
Factor -12*i**3 + 51*i**2/2 + 159*i/2 + 42.
-3*(i - 4)*(i + 1)*(8*i + 7)/2
Factor 86*s**3 + 1724*s**2 + 8680*s + 400.
2*(s + 10)**2*(43*s + 2)
What is u in -4*u**5 + 560*u**4 - 19552*u**3 - 6784*u**2 + 244160*u - 313600 = 0?
-4, 2, 70
Factor -2*l**4/7 + 4*l**3 + 62*l**2/7 + 32*l/7.
-2*l*(l - 16)*(l + 1)**2/7
Factor -5*y**3 + 5*y**2 + 5*y - 5.
-5*(y - 1)**2*(y + 1)
Find m such that m**4/9 + 20*m**3/9 - 178*m**2/9 + 292*m/9 - 15 = 0.
-27, 1, 5
Factor -5*x**2 + 100*x + 105.
-5*(x - 21)*(x + 1)
Let 2*x**2/9 - 34*x/9 + 20/3 = 0. What is x?
2, 15
Factor l**5/2 - 15*l**4/2 - 19*l**3/2 + 43*l**2/2 + 39*l + 16.
(l - 16)*(l - 2)*(l + 1)**3/2
Find x, given that x**4/4 + x**3/4 - 13*x**2 + 41*x - 36 = 0.
-9, 2, 4
Solve -r**5/4 + 57*r**4/8 + 149*r**3/4 - 15*r**2/8 - 301*r/4 + 33 = 0.
-4, -2, 1/2, 1, 33
Find m such that -3*m**3 - 12630*m**2 = 0.
-4210, 0
Determine b so that 3*b**5/2 + 21*b**4/2 + 45*b**3/2 + 27*b**2/2 = 0.
-3, -1, 0
Let 2*z**5 - 52*z**4 + 512*z**3 - 2324*z**2 + 4606*z - 2744 = 0. What is z?
1, 4, 7
Factor -3*d**5/4 - 147*d**4/4 + 309*d**3/2 - 471*d**2/2 + 633*d/4 - 159/4.
-3*(d - 1)**4*(d + 53)/4
Solve -2*n**5 - 100*n**4 - 1194*n**3 - 3728*n**2 - 4264*n - 1632 = 0.
-34, -12, -2, -1
Factor -2*r**5 - 48*r**4 - 416*r**3 - 1536*r**2 - 2048*r.
-2*r*(r + 4)**2*(r + 8)**2
Determine r, given that 2*r**4/5 + 6*r**3/5 + 6*r**2/5 + 2*r/5 = 0.
-1, 0
Determine c, given that -34*c**4/7 + 778*c**3/7 + 1758*c**2/7 + 1046*c/7 + 100/7 = 0.
-1, -2/17, 25
Factor -q**3/4 - 7*q**2/2.
-q**2*(q + 14)/4
Find s such that -2*s**3/7 - 178*s**2/7 + 4642*s/7 - 26862/7 = 0.
-111, 11
Factor -2*c**3/7 - 5174*c**2/7 + 10354*c/7 - 5178/7.
-2*(c - 1)**2*(c + 2589)/7
Let 3*o**4 + 123*o**3 - 387*o**2 + 393*o - 132 = 0. What is o?
-44, 1
Let 2*t**2/7 + 36*t/7 = 0. What is t?
-18, 0
Find w such that -5*w**2 - 810*w - 32805 = 0.
-81
Find q such that 4*q**3 - 204*q**2 - 4032*q - 17152 = 0.
-8, 67
Suppose 5*n**4 - 130*n**3 + 1080*n**2 - 2430*n - 3645 = 0. What is n?
-1, 9
What is h in h**5/2 + h**4 - 11*h**3/2 - 6*h**2 = 0?
-4, -1, 0, 3
Factor -2*h**2/7 + 18*h/7 - 40/7.
-2*(h - 5)*(h - 4)/7
Determine r so that 2*r**5 + 2*r**4 - 20*r**3 + 16*r**2 = 0.
-4, 0, 1, 2
Factor 3*o**5 - 51*o**4 + 282*o**3 - 570*o**2 + 483*o - 147.
3*(o - 7)**2*(o - 1)**3
Factor -2*o**2/3 + 8*o/3 + 64/3.
-2*(o - 8)*(o + 4)/3
Factor m**3 + 60*m**2 - 123*m + 62.
(m - 1)**2*(m + 62)
Factor 2*u**3/5 + 166*u**2/5 + 3182*u/5 - 11094/5.
2*(u - 3)*(u + 43)**2/5
Let g**3 - g**2 - 176*g + 960 = 0. Calculate g.
-15, 8
Factor -12*w**2 - 4480*w + 2992.
-4*(w + 374)*(3*w - 2)
Factor 275125*x**4/9 + 165325*x**3/9 + 3685*x**2 + 2231*x/9 + 2/9.
(5*x + 1)**3*(2201*x + 2)/9
Factor 3*d**4/8 - 51*d**3/8 + 36*d**2 - 78*d + 48.
3*(d - 8)*(d - 4)**2*(d - 1)/8
Factor -3*q**2/2 + 981*q/2 + 987.
-3*(q - 329)*(q + 2)/2
Factor 12*c**3 - 604*c**2 + 200*c.
4*c*(c - 50)*(3*c - 1)
Factor -135*w**2 - 265*w + 10.
-5*(w + 2)*(27*w - 1)
Find m, given that -3*m**2 - 111*m + 774 = 0.
-43, 6
Solve 5*b**2 - 80*b + 240 = 0 for b.
4, 12
Let 2*f**4 + 6*f**3 - 2*f**2 - 6*f = 0. Calculate f.
-3, -1, 0, 1
Determine r so that 4*r**3 - 924*r**2 + 71148*r - 1826132 = 0.
77
Factor -3*a**3 + 90*a**2 + 93*a.
-3*a*(a - 31)*(a + 1)
Factor -5*k**2 - 95*k + 330.
-5*(k - 3)*(k + 22)
Factor -k**2 + 42*k + 43.
-(k - 43)*(k + 1)
Let 6*z**4/5 + 1708*z**3/5 + 24424*z**2 + 80656*z/5 = 0. What is z?
-142, -2/3, 0
Solve -30*b**3 + 176*b**2 - 126*b - 20 = 0 for b.
-2/15, 1, 5
Suppose n**2/2 + 52*n + 1352 = 0. Calculate n.
-52
Solve 2*w**4/9 - 62*w**3 + 554*w**2/9 + 62*w - 556/9 = 0 for w.
-1, 1, 278
Factor 4*x**3 - 41*x**2 - 34*x + 11.
(x - 11)*(x + 1)*(4*x - 1)
Let -v**5 - 3*v**4 - v**3 + 3*v**2 + 2*v = 0. What is v?
-2, -1, 0, 1
Determine t so that -9*t**4 - 3*t**3/2 + 6*t**2 - 3*t/2 = 0.
-1, 0, 1/3, 1/2
Determine o, given that -o**3/3 + 38*o**2/3 - 23*o - 36 = 0.
-1, 3, 36
Find i, given that 2*i**5 + 28*i**4/3 + 22*i**3/3 - 32*i**2/3 - 8*i = 0.
-3, -2, -2/3, 0, 1
Suppose -b**5/6 - 125*b**4/6 - 1281*b**3/2 + 1323*b**2/2 = 0. What is b?
-63, 0, 1
Factor -5*q**3 - 60*q**2 + 1575*q - 6370.
-5*(q - 7)**2*(q + 26)
Solve 3*h**5/5 + 27*h**4/5 + 87*h**3/5 + 117*h**2/5 + 54*h/5 = 0.
-3, -2, -1, 0
Solve m**3/2 + 1041*m**2/2 + 1558*m + 1038 = 0.
-1038, -2, -1
Let 4*c**3 + 36*c**2 + 80*c + 48 = 0. Calculate c.
-6, -2, -1
Suppose 4*z**2 + 84*z + 216 = 0. What is z?
-18, -3
Suppose 3*h**5/4 + 439*h**4/4 + 3081*h**3/4 + 3189*h**2/4 - 281*h - 417 = 0. Calculate h.
-139, -6, -1, 2/3
Factor -4*v**5 - 36*v**4 - 84*v**3 - 76*v**2 - 24*v.
-4*v*(v + 1)**3*(v + 6)
Suppose p**4 - 17*p**2 + 36*p - 20 = 0. Calculate p.
-5, 1, 2
Find x such that 4*x**4 + 216*x**3 + 1188*x**2 + 1728*x = 0.
-48, -3, 0
Determine t, given that 3*t**5/8 - 3*t**4/8 - 3*t**3/8 + 3*t**2/8 = 0.
-1, 0, 1
Factor x**5/3 - 5*x**4/3 - 3*x**3 + 13*x**2/3 + 28*x/3 + 4.
(x - 6)*(x - 2)*(x + 1)**3/3
Find v, given that 20*v**4 + 612*v**3 - 888*v**2 + 256*v = 0.
-32, 0, 2/5, 1
Suppose -845*n**4 + 2730*n**3 + 4360*n**2 - 7680*n + 2560 = 0. Calculate n.
-2, 8/13, 4
Factor 2*h**4/3 + 22*h**3/3 - 2*h**2/3 - 22*h/3.
2*h*(h - 1)*(h + 1)*(h + 11)/3
Let v**2/6 - 41*v/6 = 0. What is v?
0, 41
Factor 7*f**3/2 - 9*f**2/2 + f.
f*(f - 1)*(7*f - 2)/2
Factor -4*r**3 - 300*r**2 + 616*r.
-4*r*(r - 2)*(r + 77)
Factor 5*u**4/3 - 5*u**3 - 115*u**2/3 - 55*u - 70/3.
5*(u - 7)*(u + 1)**2*(u + 2)/3
Determine s so that -4*s**5 - 24*s**4 + 88*s**2 - 60*s = 0.
-5, -3, 0, 1
Suppose -j**4/5 - 56*j**3/5 - 107*j**2/5 + 56*j/5 + 108/5 = 0. Calculate j.
-54, -2, -1, 1
Suppose s**2/6 + 31*s + 2883/2 = 0. Calculate s.
-93
Determine b, given that 100*b**4 - 185*b**3 + 60*b**2 + 35*b - 10 = 0.
-2/5, 1/4, 1
Factor -5*y**2 - 1380*y - 95220.
-5*(y + 138)**2
Factor -4*t**3 - 92*t**2 - 304*t.
-4*t*(t + 4)*(t + 19)
Factor -3*z**3/7 + 93*z**2/7 + 1818*z/7 + 3240/7.
-3*(z - 45)*(z + 2)*(z + 12)/7
Suppose u**5/8 - 307*u**4/8 + 27607*u**3/8 - 622777*u**2/8 + 547799*u - 946729/2 = 0. What is u?
1, 14, 139
Solve 44*y**2/3 + 196*y/3 + 64 = 0 for y.
-3, -16/11
Find s, given that -5*s**5 + 20*s**4 + 390*s**3 - 1420*s**2 - 4865*s + 5880 = 0.
-8, -3, 1, 7
Factor -5*o**2 - 200*o - 2000.
-5*(o + 20)**2
Factor -2*y**4/7 + 52*y**3/7 - 30*y**2.
-2*y**2*(y - 21)*(y - 5)/7
Factor -242*n**3/3 + 10076*n**2/3 + 3688*n/3 + 112.
-2*(n - 42)*(11*n + 2)**2/3
Let 2*z**4/11 + 192*z**3/11 - 802*z**2/11 - 192*z/11 + 800/11 = 0. What is z?
-100, -1, 1, 4
Factor k**2 + 185*k - 186.
(k - 1)*(k + 186)
Factor -3*i**2/5 + 138*i/5 + 441/5.
-3*(i - 49)*(i + 3)/5
Factor -196*t**3 - 280*t**2 + 208*t - 32.
-4*(t + 2)*(7*t - 2)**2
Suppose 2*c**3/19 - 2*c**2/19 - 28*c/19 + 48/19 = 0. What is c?
-4, 2, 3
Factor 4*o**2/5 - 24*o + 224/5.
4*(o - 28)*(o - 2)/5
Factor -5*b**2 - 44480*b - 98923520.
-5*(b + 4448)**2
Determine v, given that -3*v**3/2 + 21*v**2/2 + 15*v - 24 = 0.
-2, 1, 8
Factor 5*m**5/3 + 50*m**4/3 + 200*m**3/3 + 400*m**2/3 + 400*m/3 + 160/3.
5*(m + 2)**5/3
Factor 1922*x**3/7 + 4092*x**2/7 + 72*x + 16/7.
2*(x + 2)*(31*x + 2)**2/7
Suppose 16*c**5 + 28*c**4 - 584*c**3 - 2448*c**2 - 2376*c + 756 = 0. Calculate c.
-3, 1/4, 7
Let -2*i**4/9 + 452*i**3/9 + 152*i**2 + 1372*i/9 + 458/9 = 0. Calculate i.
-1, 229
Let 2*l**4/17 + 10*l**3/17 = 0. What is l?
-5, 0
Let -3*k**2 - 714*k - 42483 = 0. Calculate k.
-119
Solve 2*b**2/5 + 98*b = 0 for b.
-245, 0
Find y, given that 2*y**2/15 - 18*y/5 + 48/5 = 0.
3, 24
Solve -5*g**3 - 295*g**2 - 1850*g - 1560 = 0 for g.
-52, -6, -1
Determine l so that 25*l**3 - 285*l**2 + 360*l - 100 = 0.
2/5, 1, 10
Factor -3*n**3 + 30*n**2 - 48*n.
-3*n*(n - 8)*(n - 2)
Factor 5*t**5 + 5*t**4 - 15*t**3 - 25*t**2 - 10*t.
5*t*(t - 2)*(t + 1)**3
Let -5*d**2 - 447*d - 178 = 0. Calculate d.
-89, -2/5
Factor -2*d**5/7 - 260*d**4/7 + 152*d**3 - 1072*d**2/7.
-2*d**2*(d - 2)**2*(d + 134)/7
Factor y**3/3 + 98*y**2/3 - 404*y/3 + 136.
(y - 2)**2*(y + 102)/3
Factor 26*k**2 + 256*k - 40.
2*(k + 10)*(13*k - 2)
Determine o so that o**4/2 - o**3/2 - 3*o**2/2 + 5*o/2 - 1 = 0.
-2, 1
Factor v**3/2 - 2*v**2 - 5*v/2.
v*(v - 5)*(v + 1)/2
What is o in o**3/4 +