tor 5*a**5 + 555*a**4 + 2695*a**3 + 4805*a**2 + 3720*a + 1060.
5*(a + 1)**3*(a + 2)*(a + 106)
Determine j so that 3*j**3/2 - 5*j**2/2 - 8*j + 6 = 0.
-2, 2/3, 3
Factor q**3/3 + 26*q**2/3 - 397*q/3 + 370/3.
(q - 10)*(q - 1)*(q + 37)/3
Factor r**3/4 + r**2/4 - 81*r/4 - 81/4.
(r - 9)*(r + 1)*(r + 9)/4
Factor -3*o**5/5 + 6*o**3/5 - 3*o/5.
-3*o*(o - 1)**2*(o + 1)**2/5
Factor 2*n**4/9 - 4*n**3 - 2*n**2/3 + 1120*n/9.
2*n*(n - 16)*(n - 7)*(n + 5)/9
Solve 3*y**2 + 15*y - 108 = 0 for y.
-9, 4
Determine l, given that 2*l**3/7 - 6*l**2 + 16*l - 72/7 = 0.
1, 2, 18
Find x such that -3*x**3/5 + 213*x**2/5 + 438*x/5 = 0.
-2, 0, 73
Solve 9*a**4/5 - 42*a**3 + 12*a**2 + 42*a - 69/5 = 0.
-1, 1/3, 1, 23
Factor -5*k**4/3 - 20*k**3/3 + 5*k**2 + 30*k.
-5*k*(k - 2)*(k + 3)**2/3
Factor -i**4/7 - 41*i**3/7 - 40*i**2/7.
-i**2*(i + 1)*(i + 40)/7
Let -2*b**5/7 + 8*b**4/7 - 8*b**3/7 - 4*b**2/7 + 10*b/7 - 4/7 = 0. Calculate b.
-1, 1, 2
Determine g so that -g**4 + 46*g**3 - 312*g**2 - 766*g - 407 = 0.
-1, 11, 37
Factor j**4 + j**3/4 - 7*j**2/4 - j/4 + 3/4.
(j - 1)*(j + 1)**2*(4*j - 3)/4
Factor 2*y**3/5 - 14*y**2/5 - 528*y/5 + 4896/5.
2*(y - 12)**2*(y + 17)/5
Determine z so that -2*z**3/9 + 4*z**2/9 + 26*z/9 + 20/9 = 0.
-2, -1, 5
Factor 2*u**4/13 - 2*u**3/13.
2*u**3*(u - 1)/13
Determine w so that w**4/4 - 45*w**3/4 - 125*w**2/2 = 0.
-5, 0, 50
Solve -7*h**4/3 + 130*h**3/3 - 212*h**2 + 90*h + 81 = 0 for h.
-3/7, 1, 9
Factor 5*i**2 - 75*i + 70.
5*(i - 14)*(i - 1)
Suppose t**3/4 - 3*t**2/2 - 135*t/4 + 243 = 0. What is t?
-12, 9
Factor -5*x**3 + 170*x**2 - 1445*x.
-5*x*(x - 17)**2
What is z in -80*z**3 - 2760*z**2 + 57195*z - 240250 = 0?
-50, 31/4
Factor 2*z**3 - 8*z**2 + 8*z.
2*z*(z - 2)**2
Determine l so that 4*l**4 + 108*l**3 - 16*l**2 - 432*l = 0.
-27, -2, 0, 2
Factor 2*o**2 + 4710*o + 4708.
2*(o + 1)*(o + 2354)
What is c in -78*c**5/5 - 1106*c**4/5 - 3624*c**3/5 - 736*c**2 - 384*c/5 + 32 = 0?
-10, -2, -1/3, 2/13
Let 2*a**4 - 50*a**3 - 52*a**2 = 0. Calculate a.
-1, 0, 26
Let -12*t**5 - 1916*t**4 - 102396*t**3 - 1853940*t**2 - 1191016*t = 0. What is t?
-53, -2/3, 0
Factor -2*w**5/3 - 22*w**4/3 - 28*w**3 - 136*w**2/3 - 80*w/3.
-2*w*(w + 2)**3*(w + 5)/3
Determine j so that -3*j**5/2 + 27*j**4/4 + 561*j**3/4 - 1485*j**2/4 + 309*j/4 + 297/2 = 0.
-9, -1/2, 1, 2, 11
Let 4*s**2/5 - 102*s/5 + 98/5 = 0. Calculate s.
1, 49/2
Solve l**2/5 - l - 36/5 = 0.
-4, 9
Solve -2*n**3/3 - 2*n**2 + 6*n - 10/3 = 0.
-5, 1
Factor 2*y**4/9 + 118*y**3/9 + 560*y**2/3 - 200*y.
2*y*(y - 1)*(y + 30)**2/9
Factor -16*m**4/3 - 142*m**3/3 - 138*m**2 - 126*m + 18.
-2*(m + 3)**3*(8*m - 1)/3
Determine y, given that -3*y**5 - 192*y**4 - 177*y**3 + 768*y**2 + 756*y = 0.
-63, -2, -1, 0, 2
Solve -6*v**3/7 + 2406*v**2/7 - 33582*v - 176610 = 0.
-5, 203
What is h in -1225*h**2/3 + 280*h/3 - 16/3 = 0?
4/35
Determine d, given that -2*d**2/7 - 142*d/7 - 20 = 0.
-70, -1
Let 4*t**2/7 - 792*t/7 = 0. Calculate t.
0, 198
Factor 8*t**2/7 - 146*t/7 + 36/7.
2*(t - 18)*(4*t - 1)/7
Determine x, given that -208*x**3 - 7508*x**2 - 712*x + 288 = 0.
-36, -1/4, 2/13
Factor -z**3/8 - z**2/8 + 3*z/2.
-z*(z - 3)*(z + 4)/8
Determine y, given that -7*y**3 - 12*y**2 - 3*y + 2 = 0.
-1, 2/7
Factor v**2 - 5650*v + 7980625.
(v - 2825)**2
Factor -3*c**5/2 + 27*c**3/2.
-3*c**3*(c - 3)*(c + 3)/2
Solve 5*m**4 + 1540*m**3 + 154350*m**2 + 4630500*m - 40516875 = 0 for m.
-105, 7
Factor -4*o**2 - 368*o - 1068.
-4*(o + 3)*(o + 89)
Determine z so that -2*z**3 + 10*z**2 + 96*z - 504 = 0.
-7, 6
Factor 2*t**5/3 + 20*t**4/3 + 16*t**3 + 44*t**2/3 + 14*t/3.
2*t*(t + 1)**3*(t + 7)/3
Determine r, given that 5*r**3 + 65*r**2 - 3045*r + 8415 = 0.
-33, 3, 17
Solve 2*y**3/5 + 214*y**2/5 + 624*y/5 = 0 for y.
-104, -3, 0
What is v in 39*v**3 + 30*v**2 - 9*v = 0?
-1, 0, 3/13
Factor 2*q**2/15 + 4*q/5 - 14/15.
2*(q - 1)*(q + 7)/15
Factor -4*w**2 - 320*w + 324.
-4*(w - 1)*(w + 81)
Factor 4*x**5/3 + 8*x**4 + 44*x**3/3 + 8*x**2/3 - 16*x - 32/3.
4*(x - 1)*(x + 1)*(x + 2)**3/3
What is w in -2*w**3 + 6*w**2 + 8*w = 0?
-1, 0, 4
What is q in q**5/3 + 10*q**4/3 + 25*q**3/3 - 20*q**2/3 - 80*q/3 + 64/3 = 0?
-4, 1
Suppose 30*d**4 + 352*d**3 + 496*d**2 - 256*d - 160 = 0. What is d?
-10, -2, -2/5, 2/3
Let -120*y**5 - 125*y**4 + 90*y**3 + 125*y**2 + 30*y = 0. Calculate y.
-1, -2/3, -3/8, 0, 1
Find q, given that 64*q**4 - 288*q**3 + 324*q**2 - 112*q + 12 = 0.
1/4, 1, 3
Factor 5*s**2/2 + 11145*s.
5*s*(s + 4458)/2
Factor h**2 + 586*h - 587.
(h - 1)*(h + 587)
Factor 3*q**2/7 + 366*q + 78141.
3*(q + 427)**2/7
Suppose 5*l**3 + 365*l**2 - 400*l - 2220 = 0. Calculate l.
-74, -2, 3
Find c such that 2*c**3/23 - 548*c**2/23 + 37538*c/23 = 0.
0, 137
Solve -2*f**2 - 216*f - 424 = 0 for f.
-106, -2
Determine r, given that 5*r**5 - 55*r**4 + 150*r**3 + 280*r**2 - 1760*r + 1920 = 0.
-3, 2, 4
Factor 324*q**4 + 1476*q**3 + 592*q**2 - 496*q + 64.
4*(q + 1)*(q + 4)*(9*q - 2)**2
Determine m, given that 8*m**4/3 + 1138*m**3/3 + 40612*m**2/3 + 10082*m/3 = 0.
-71, -1/4, 0
Solve m**4/2 + 23*m**3/3 - 16*m**2/3 = 0 for m.
-16, 0, 2/3
Factor p**3/6 + p**2/6 - 3*p/2 - 3/2.
(p - 3)*(p + 1)*(p + 3)/6
What is b in 2*b**2/5 + 304*b/5 - 616/5 = 0?
-154, 2
Solve 16*k**5/3 - 76*k**4/3 - 596*k**3/3 - 48*k**2 = 0 for k.
-4, -1/4, 0, 9
Factor 2*w**3/5 - 44*w**2/5 - 2*w/5 + 44/5.
2*(w - 22)*(w - 1)*(w + 1)/5
Factor -f**3/2 + 5*f**2/2 + 57*f/2 + 99/2.
-(f - 11)*(f + 3)**2/2
Factor 20402*j**2 + 404*j/3 + 2/9.
2*(303*j + 1)**2/9
Factor -w**2/2 + 383*w - 146689/2.
-(w - 383)**2/2
Determine d, given that 237*d**2/5 + 477*d/5 + 6/5 = 0.
-2, -1/79
Factor -7*u**4 + 145*u**3/3 + 14*u**2/3.
-u**2*(u - 7)*(21*u + 2)/3
Factor 5*y**3/2 + 60*y**2 - 395*y/2 + 135.
5*(y - 2)*(y - 1)*(y + 27)/2
Let -22*w**4 - 150*w**3 + 28*w**2 = 0. Calculate w.
-7, 0, 2/11
Factor -32*x**3/3 - 10*x**2 + 2*x/3.
-2*x*(x + 1)*(16*x - 1)/3
Determine i so that i**4 + 152*i**3 + 447*i**2 - 4*i - 596 = 0.
-149, -2, 1
Factor 2*o**4/9 - 22*o**3/9 - 8*o**2/3.
2*o**2*(o - 12)*(o + 1)/9
Suppose u**4/5 - 7*u**3/5 + 14*u**2/5 - 8*u/5 = 0. Calculate u.
0, 1, 2, 4
Factor -z**3/2 + 25*z**2 - 384*z + 1872.
-(z - 26)*(z - 12)**2/2
Factor 5*p**3 - 4035*p**2 + 4030*p.
5*p*(p - 806)*(p - 1)
Factor -3*m**3/5 - 879*m**2/5 + 3*m/5 + 879/5.
-3*(m - 1)*(m + 1)*(m + 293)/5
What is x in 2*x**3/13 - 22*x**2/13 + 36*x/13 = 0?
0, 2, 9
Factor -i**2 - 353*i + 710.
-(i - 2)*(i + 355)
Let 5*c**3/2 + 530*c**2 + 28090*c = 0. What is c?
-106, 0
Find s such that 12*s**2 + 219*s/4 - 315/2 = 0.
-105/16, 2
Factor -3*t**2 + 1260*t - 1257.
-3*(t - 419)*(t - 1)
Find l such that -3*l**2 - 147*l - 1710 = 0.
-30, -19
Find k, given that k**3 + 13*k**2 + 40*k = 0.
-8, -5, 0
Factor -2*f**4/5 - 24*f**3/5 + 84*f**2/5 - 88*f/5 + 6.
-2*(f - 1)**3*(f + 15)/5
Factor 5*t**2 + 195*t + 1350.
5*(t + 9)*(t + 30)
Factor 16*r**3 - 1716*r**2 + 10124*r - 2424.
4*(r - 101)*(r - 6)*(4*r - 1)
Let -3*s**5/2 - 101*s**4/4 - 152*s**3 - 398*s**2 - 456*s - 180 = 0. What is s?
-6, -2, -5/6
Factor 3*v**2/5 - 513*v/5 + 102.
3*(v - 170)*(v - 1)/5
Find l, given that l**3/3 - 1289*l**2/3 + 416024*l/3 - 414736/3 = 0.
1, 644
Factor -x**3/2 - 7*x**2 - 33*x/2.
-x*(x + 3)*(x + 11)/2
Let 2*d**2/7 - 102*d/7 = 0. What is d?
0, 51
Factor -49*o**3/3 + 1022*o**2/3 - 5329*o/3.
-o*(7*o - 73)**2/3
Determine w, given that w**4/4 + w**3 - 51*w**2/2 - 161*w - 539/4 = 0.
-7, -1, 11
Factor -5*q**3 - 2*q**2 + 20*q + 8.
-(q - 2)*(q + 2)*(5*q + 2)
Factor 2*i**3/13 + 1952*i**2/13 - 1954*i/13.
2*i*(i - 1)*(i + 977)/13
Suppose -3*g**5/2 + 3*g**4/2 + 129*g**3 - 669*g**2 + 1905*g/2 - 825/2 = 0. Calculate g.
-11, 1, 5
Solve 2*f**4 + 18*f**3 - 50*f**2 - 66*f = 0 for f.
-11, -1, 0, 3
Find k such that k**3/5 - 22*k**2/5 + 129*k/5 - 108/5 = 0.
1, 9, 12
Determine l so that -7*l**5/5 + 10*l**4 - 112*l**3/5 + 78*l**2/5 - 9*l/5 = 0.
0, 1/7, 1, 3
Factor 2*j**3 + 50*j**2 - 176*j - 224.
2*(j - 4)*(j + 1)*(j + 28)
Let -4*l**5/5 - 10*l**4 + 142*l**3/5 - 118*l**2/5 + 6*l = 0. Calculate l.
-15, 0, 1/2, 1
Factor i**4/4 + 2185*i**3/4 - 6561*i**2/4 + 6563*i/4 - 547.
(i - 1)**3*(i + 2188)/4
Solve -6*s**2/5 - 4896*s/5 + 9816/5 = 0 for s.
-818, 2
Factor 5*t**3/4 + 30*t**2 + 105*t/4 - 115/2.
5*(t - 1)*(t + 2)*(t + 23)/4
Factor -r**5 + 3*r**4 - r**3 - 3*r**2 + 2*r.
-r*(r - 2)*(r - 1)**2*(r + 1)
Factor -2*f**3/9 + 502*f**2/3 - 126002*f/3 + 31626502/9.
-2*(f - 251)**3/9
Factor -7*q**2 - 44*q -