a**2/11 = 0.
-3, 0, 1/4, 6
Factor -4*u**3/7 + 4*u**2/7 + 8*u/7.
-4*u*(u - 2)*(u + 1)/7
Factor g**3 + 13*g**2 + 32*g + 20.
(g + 1)*(g + 2)*(g + 10)
Let -4*p**5/7 - 8*p**4/7 + 120*p**3/7 + 368*p**2/7 + 52*p + 120/7 = 0. Calculate p.
-5, -1, 6
Find w, given that 242*w**4/5 - 1782*w**3/5 + 624*w**2/5 - 56*w/5 = 0.
0, 2/11, 7
Let 2*b**5/9 - 2*b**4 + 28*b**3/9 + 16*b**2/3 = 0. Calculate b.
-1, 0, 4, 6
Factor -3*b**5 + 26*b**4 - 54*b**3 + 36*b**2 + b - 6.
-(b - 6)*(b - 1)**3*(3*b + 1)
Determine h, given that 2*h**3/9 + 2*h**2/3 - 32*h/9 + 8/3 = 0.
-6, 1, 2
Factor p**4 + 6*p**3 + 9*p**2 + 4*p.
p*(p + 1)**2*(p + 4)
Factor y**2 - 40*y.
y*(y - 40)
Determine o, given that 17*o**2 - 72*o + 63 = 0.
21/17, 3
Factor -o**4/12 - 203*o**3/12 + 205*o**2/4 - 617*o/12 + 103/6.
-(o - 1)**3*(o + 206)/12
Let -3*b**4 + 99*b**3 + 429*b**2 + 549*b + 222 = 0. Calculate b.
-2, -1, 37
Factor -2*j**3/19 - 1560*j**2/19 - 304200*j/19.
-2*j*(j + 390)**2/19
Find k, given that 2*k**2/9 - 206*k/9 - 140/3 = 0.
-2, 105
Determine m, given that -155*m**3 - 770*m**2 - 905*m + 30 = 0.
-3, -2, 1/31
Find b such that 4*b**2 + 472*b + 5088 = 0.
-106, -12
Suppose -3*k**3 - 558*k**2 + 5913*k + 6468 = 0. What is k?
-196, -1, 11
Solve -4*t**3 - 268*t**2 - 524*t - 260 = 0.
-65, -1
Suppose 9*b**4/4 + 87*b**3/2 + 625*b**2/4 + 153*b + 45 = 0. Calculate b.
-15, -3, -2/3
Factor -4*y**2 - 68*y - 64.
-4*(y + 1)*(y + 16)
Factor -h**2 + h + 2.
-(h - 2)*(h + 1)
Factor -x**5/4 - 5*x**4/4 - 9*x**3/4 - 7*x**2/4 - x/2.
-x*(x + 1)**3*(x + 2)/4
Factor 3*z**2/8 - 9*z/2 + 105/8.
3*(z - 7)*(z - 5)/8
Factor -n**4/3 + 22*n**2/3 - 8*n - 15.
-(n - 3)**2*(n + 1)*(n + 5)/3
Factor -64*n**3 + 736*n**2 - 356*n + 44.
-4*(n - 11)*(4*n - 1)**2
Let -s**3/3 - 29*s**2/3 - 17*s + 27 = 0. What is s?
-27, -3, 1
Determine s so that 162*s**5/7 + 327*s**4/7 + 6*s**3/7 - 324*s**2/7 - 24*s - 3/7 = 0.
-1, -1/54, 1
Let 2*n**2 - 24*n - 26 = 0. Calculate n.
-1, 13
Factor -h**2/4 + 61*h/4 - 15.
-(h - 60)*(h - 1)/4
Factor 5*w**3 + 2095*w**2.
5*w**2*(w + 419)
What is c in -2*c**3 - 60*c**2 + 126*c - 64 = 0?
-32, 1
Suppose -5*l**2/2 + 16190*l - 32375/2 = 0. What is l?
1, 6475
Factor 2*r**3/3 + 10*r**2/3 - 16*r/3 - 32.
2*(r - 3)*(r + 4)**2/3
Find i such that 9*i**4 + 17490*i**3 + 11325744*i**2 + 2441321856*i - 1632586752 = 0.
-648, 2/3
Determine o, given that -3*o**5 + 84*o**4 - 72*o**3 - 246*o**2 + 75*o + 162 = 0.
-1, 1, 2, 27
Suppose 21*v**4/5 - 57*v**3/5 - 18*v**2/5 = 0. Calculate v.
-2/7, 0, 3
Solve -3*w**3/5 + 81*w**2 + 3384*w/5 + 6864/5 = 0.
-4, 143
Let -4*i**2 + 16*i = 0. What is i?
0, 4
Factor j**3/6 - 55*j**2/2 - 83*j/3.
j*(j - 166)*(j + 1)/6
Let -3*t**5/4 + 702*t**4 - 654255*t**3/4 - 659883*t**2/2 = 0. Calculate t.
-2, 0, 469
Factor t**2 + 23*t + 120.
(t + 8)*(t + 15)
Suppose -2*z**5 - 118*z**4 - 1374*z**3 - 5282*z**2 - 6904*z - 2880 = 0. Calculate z.
-45, -8, -4, -1
What is l in -4*l**5 + 72*l**4 - 312*l**3 - 224*l**2 + 1116*l - 648 = 0?
-2, 1, 9
Factor -2*d**4/5 + 26*d**3/5 - 46*d**2/5 + 22*d/5.
-2*d*(d - 11)*(d - 1)**2/5
Factor -a**5 + 29*a**4 - 250*a**3 + 586*a**2 - 533*a + 169.
-(a - 13)**2*(a - 1)**3
Suppose h**5/2 - 3*h**4/2 - 3*h**3 + 13*h**2 - 27*h/2 + 9/2 = 0. What is h?
-3, 1, 3
Factor 5*c**4 + 995*c**3 + 49000*c**2 - 50000*c.
5*c*(c - 1)*(c + 100)**2
Find g, given that 6*g**5 - 9*g**4 - 69*g**3 + 204*g**2 - 180*g + 48 = 0.
-4, 1/2, 1, 2
What is s in -5*s**3 + 21660*s**2 - 31277040*s + 15054681920 = 0?
1444
Determine v, given that 4*v**4 - 8*v**3 - v**2 + 2*v = 0.
-1/2, 0, 1/2, 2
Factor -3*y**2 + 42*y - 99.
-3*(y - 11)*(y - 3)
Suppose 5*w**5/4 - 545*w**4/4 + 3155*w**3/4 - 6755*w**2/4 + 1550*w - 515 = 0. Calculate w.
1, 2, 103
Let -2*u**3 - 168*u**2 - 2098*u - 1932 = 0. What is u?
-69, -14, -1
Factor 30*r**3 + 26*r**2 - 604*r + 80.
2*(r - 4)*(r + 5)*(15*r - 2)
Factor 2*m**3/3 - 8*m**2/3 + 8*m/3.
2*m*(m - 2)**2/3
Let 6*p**2/7 - 72*p/7 - 4488/7 = 0. Calculate p.
-22, 34
Factor z**2/5 - 6*z/5.
z*(z - 6)/5
Factor k**3/9 - 4*k**2/9 - 4*k/3.
k*(k - 6)*(k + 2)/9
Factor 8*a**2 - 6*a - 2.
2*(a - 1)*(4*a + 1)
Solve -s**5/4 - 19*s**4/4 - 20*s**3 + 25*s**2 = 0 for s.
-10, 0, 1
Factor 3*c**3 - 48*c**2 - 2244*c + 40656.
3*(c - 22)**2*(c + 28)
Factor -k**2/3 - 868*k/3 - 188356/3.
-(k + 434)**2/3
Find u, given that -4*u**5/7 + 10*u**4/7 - 8*u**3/7 + 2*u**2/7 = 0.
0, 1/2, 1
Factor -2*h**5 + 20*h**4 - 18*h**3.
-2*h**3*(h - 9)*(h - 1)
Factor -q**5/4 + 15*q**4/4 - 14*q**3 - 18*q**2 + 108*q + 108.
-(q - 6)**3*(q + 1)*(q + 2)/4
Factor -r**2/5 + 121*r/5 - 24.
-(r - 120)*(r - 1)/5
Determine j, given that -j**3 + 226*j**2 - 2149*j - 2376 = 0.
-1, 11, 216
Factor -169*a**3/3 + 11531*a**2 + 3552*a + 820/3.
-(a - 205)*(13*a + 2)**2/3
Determine f, given that f**5/4 + 41*f**4/4 + 435*f**3/4 + 203*f**2/4 - 470*f + 300 = 0.
-20, -3, 1
Factor -7*d**2/3 - 640*d - 548/3.
-(d + 274)*(7*d + 2)/3
Let t**5/7 - 2*t**4/7 - 8*t**3/7 + 18*t**2/7 - 9*t/7 = 0. What is t?
-3, 0, 1, 3
Let -2*b**4/9 - 76*b**3/9 - 118*b**2/3 + 6992*b/9 - 16928/9 = 0. Calculate b.
-23, 4
Find b such that -2*b**2 - 34*b - 144 = 0.
-9, -8
Let -4*j**3 - 40*j**2 - 128*j - 128 = 0. Calculate j.
-4, -2
Solve -d**2/3 + 17*d/3 - 14 = 0 for d.
3, 14
Find v, given that -2*v**3/7 - 50*v**2/7 - 32*v + 168 = 0.
-14, 3
Solve 81*d**5/5 - 816*d**4/5 + 2733*d**3/5 - 3762*d**2/5 + 1884*d/5 - 24 = 0.
2/27, 1, 2, 5
Solve -2*h**2/7 + 30*h/7 - 52/7 = 0.
2, 13
Let -m**5/2 - 5*m**4 - 27*m**3/2 - 9*m**2 = 0. What is m?
-6, -3, -1, 0
Let -2*u**3/7 + 370*u**2/7 - 2418*u - 17298/7 = 0. Calculate u.
-1, 93
Let 12*p**4 - 1129*p**3 + 93*p**2 + 94*p = 0. Calculate p.
-1/4, 0, 1/3, 94
Factor l**3 + 12*l**2 - 256.
(l - 4)*(l + 8)**2
Solve 3*l**5/2 - 7*l**4/4 - 5*l**3/4 + 7*l**2/4 - l/4 = 0.
-1, 0, 1/6, 1
Solve i**4/5 - 132*i**3/5 + 126*i**2/5 + 652*i/5 + 393/5 = 0.
-1, 3, 131
Find p such that 2*p**5 - 4*p**4 - 242*p**3 + 484*p**2 = 0.
-11, 0, 2, 11
Let -w**2 + w + 2 = 0. What is w?
-1, 2
Solve -b**5/3 - 7*b**4/3 - 7*b**3/3 + 23*b**2/3 + 44*b/3 + 20/3 = 0.
-5, -2, -1, 2
Determine g, given that -48*g**4 + 120*g**3 - 99*g**2 + 30*g - 3 = 0.
1/4, 1
Factor 2*w**2/15 - 1384*w + 3591480.
2*(w - 5190)**2/15
Factor -2058*m**3 - 588*m**2 - 56*m - 16/9.
-2*(21*m + 2)**3/9
Suppose a**2/7 - 2*a + 40/7 = 0. Calculate a.
4, 10
Factor -o**3/7 + 69*o**2/7 - 264*o/7 + 260/7.
-(o - 65)*(o - 2)**2/7
Factor 2*g**3/7 + 174*g**2/7 - 720*g/7 + 104.
2*(g - 2)**2*(g + 91)/7
Factor l**4 + 24*l**3 - l**2 - 24*l.
l*(l - 1)*(l + 1)*(l + 24)
Factor -h**3/4 - 2*h**2 + h/4 + 2.
-(h - 1)*(h + 1)*(h + 8)/4
Factor -3*k**4 - 23718*k**3 - 46854903*k**2 + 93780972*k - 46902348.
-3*(k - 1)**2*(k + 3954)**2
Factor 4*k**2 + 92*k - 312.
4*(k - 3)*(k + 26)
Factor -8*g**3/7 + 34*g**2/7 - 40*g/7 + 8/7.
-2*(g - 2)**2*(4*g - 1)/7
Factor 64*k**5/11 + 48*k**4/11 + 9*k**3/11.
k**3*(8*k + 3)**2/11
Suppose 2*i**2 - 78*i + 148 = 0. Calculate i.
2, 37
Find d such that -3*d**3 + 15*d**2 + 423*d + 405 = 0.
-9, -1, 15
Let -14*l**2/15 - 202*l/5 - 156 = 0. Calculate l.
-39, -30/7
Let -8*p**3/7 + 264*p**2/7 + 846*p/7 + 648/7 = 0. Calculate p.
-3/2, 36
Factor w**4 + 3*w**3 - 3*w**2 - 11*w - 6.
(w - 2)*(w + 1)**2*(w + 3)
Factor 4*i**2 + 412*i - 1272.
4*(i - 3)*(i + 106)
Solve 2*m**5 + 24*m**4 + 76*m**3 + 32*m**2 - 78*m - 56 = 0 for m.
-7, -4, -1, 1
Factor 2*l**4 - 52*l**3 - 64*l**2 + 276*l - 162.
2*(l - 27)*(l - 1)**2*(l + 3)
Factor 12*h**4 + 20*h**3 - 132*h**2 + 156*h - 56.
4*(h - 1)**3*(3*h + 14)
Factor t**2/5 - 46*t/5 + 529/5.
(t - 23)**2/5
Factor 3*v**2 - 480*v.
3*v*(v - 160)
Factor t**3/4 - 49*t**2/2 - 199*t/4 - 25.
(t - 100)*(t + 1)**2/4
What is o in 483*o**4/4 - 393*o**3/2 + 135*o**2/4 + 39*o + 3 = 0?
-2/7, -2/23, 1
Let 4*g**2/5 - 248*g/5 + 96 = 0. Calculate g.
2, 60
Find o, given that o**3/4 + 5*o**2/2 - 13*o + 14 = 0.
-14, 2
Determine r, given that -r**3/3 + 10*r**2/3 - 7*r/3 - 6 = 0.
-1, 2, 9
Let 2*z**2 - 28*z + 26 = 0. Calculate z.
1, 13
What is j in -3*j**2 + 390*j - 12675 = 0?
65
Factor 2*h**5/5 + 42*h**4/5 + 54*h**3 + 110*h**2.
2*h**2*(h + 5)**2*(h + 11)/5
Suppose -98*b**5 - 16814*b**4 - 964790*b**3 - 18696114*b**2 - 10448784*b - 1481544 = 0. Calculate b.
-57, -2/7
Factor 5*d**4 - 15*d**3 + 5*d**2 + 15*d - 10.
5*(d - 2)*(d - 1)**2*(d + 1)
What is x in 21*x**3/4 + 1737*x**2/8 - 1131*x/8 + 63/4 = 0?
-42, 1/7, 1/2
Determine t so that 2*t**5 + 14*t**4 + 18*t**3 - 38*t**2 -