-2*l**4/13 + 56*l**3/13 - 324*l**2/13 - 1080*l/13 + 1350/13 = 0.
-3, 1, 15
Factor 3*v**2 - 102*v + 99.
3*(v - 33)*(v - 1)
Factor k**4/5 + 52*k**3/5 + 414*k**2/5 + 1188*k/5 + 1161/5.
(k + 3)**3*(k + 43)/5
Factor 3*v**4 + 15*v**3 + 12*v**2.
3*v**2*(v + 1)*(v + 4)
Determine o so that 3*o**2 + 96*o + 768 = 0.
-16
Factor y**5 + 18*y**4 + 48*y**3 + 46*y**2 + 15*y.
y*(y + 1)**3*(y + 15)
Factor -z**2 + 45*z + 94.
-(z - 47)*(z + 2)
Factor k**3/4 - 9*k**2/2 - 172*k + 360.
(k - 36)*(k - 2)*(k + 20)/4
Factor 2*z**4/7 + 240*z**3/7 + 6956*z**2/7 - 14640*z/7 + 7442/7.
2*(z - 1)**2*(z + 61)**2/7
Factor 4*x**3 - 172*x**2 + 1932*x - 1764.
4*(x - 21)**2*(x - 1)
Solve 2*a**4 + 2*a**3 - 54*a**2 - 162*a - 108 = 0 for a.
-3, -1, 6
Factor 3*n**3/4 + 30*n**2 - 3*n/4 - 30.
3*(n - 1)*(n + 1)*(n + 40)/4
Find t, given that -5*t**4 + 70*t**3 - 320*t**2 + 570*t - 315 = 0.
1, 3, 7
Factor 4*l**2 - 640*l - 1956.
4*(l - 163)*(l + 3)
Factor -3*d**2/5 - 36*d/5.
-3*d*(d + 12)/5
Factor o**3/3 + 7*o**2 + 56*o/3 - 208.
(o - 4)*(o + 12)*(o + 13)/3
Factor -2*w**4/9 - 22*w**3/9 - 56*w**2/9.
-2*w**2*(w + 4)*(w + 7)/9
Let 4*q**4 + 3792*q**3 + 1348056*q**2 + 212992848*q + 12619826244 = 0. Calculate q.
-237
Let -2*q**4/15 + 112*q**3/5 - 7056*q**2/5 + 197568*q/5 - 2074464/5 = 0. Calculate q.
42
Factor 2*d**4 - 1890*d**3 - 1892*d**2.
2*d**2*(d - 946)*(d + 1)
Let -5*j**2 - 305*j + 310 = 0. Calculate j.
-62, 1
Factor 2*g**2/3 + 16*g/3 - 6.
2*(g - 1)*(g + 9)/3
What is x in -3*x**4 - 15*x**3 - 15*x**2 + 15*x + 18 = 0?
-3, -2, -1, 1
Determine s, given that s**4/4 - s**3/4 - 14*s**2 = 0.
-7, 0, 8
Suppose -14*o**4 - 4*o**3 = 0. What is o?
-2/7, 0
Let -g**5/3 - 19*g**4/3 - 13*g**3/3 + 29*g**2 - 18*g = 0. Calculate g.
-18, -3, 0, 1
Factor -4*i**4 - 28*i**3 - 52*i**2 + 12*i + 72.
-4*(i - 1)*(i + 2)*(i + 3)**2
Factor 2*g**3/5 + 14*g**2/5 + 12*g/5.
2*g*(g + 1)*(g + 6)/5
Factor -2*q**3/13 + 360*q**2/13 - 714*q/13 + 356/13.
-2*(q - 178)*(q - 1)**2/13
Factor -2*c**5 + 14*c**4 - 30*c**3 + 18*c**2.
-2*c**2*(c - 3)**2*(c - 1)
Find q such that 2*q**2/11 - 2230*q/11 + 4452/11 = 0.
2, 1113
Factor -16*k**2/9 + 92*k/9 + 50/9.
-2*(2*k + 1)*(4*k - 25)/9
Factor h**4 + 2*h**3 - 27*h**2 - 108*h - 108.
(h - 6)*(h + 2)*(h + 3)**2
Suppose -4*h**4 - 1204*h**3 - 92389*h**2 - 269094*h - 199809 = 0. What is h?
-149, -3/2
Find m, given that -6*m**4 - 62*m**3 - 64*m**2 + 72*m = 0.
-9, -2, 0, 2/3
Solve 5*d**4/2 - 5*d**3 - 125*d**2/2 + 5*d + 60 = 0 for d.
-4, -1, 1, 6
What is i in -1286*i**2/3 - 5140*i/3 + 16/3 = 0?
-4, 2/643
Factor k**4/5 - 1936*k**3/5 + 935086*k**2/5 + 1875984*k/5 + 938961/5.
(k - 969)**2*(k + 1)**2/5
Factor 4*z**4 + 22*z**3 - 42*z**2.
2*z**2*(z + 7)*(2*z - 3)
Suppose -3*b**5 + 3*b**4 + 3*b**3 - 3*b**2 = 0. What is b?
-1, 0, 1
Determine s, given that -s**3/6 - 731*s**2/6 - 132487*s/6 + 134689/2 = 0.
-367, 3
Factor 2*h**2/3 + 34*h/3 + 32/3.
2*(h + 1)*(h + 16)/3
Find k such that -12*k**3 - 159*k**2 - 39*k = 0.
-13, -1/4, 0
Factor -5*g**3 - 10*g**2 + 240*g.
-5*g*(g - 6)*(g + 8)
Let 2*z**3/5 - 8*z**2/5 = 0. Calculate z.
0, 4
What is u in -3*u**4 + 357*u**3 - 14040*u**2 + 177600*u + 192000 = 0?
-1, 40
Factor s**5/4 + s**4/2 - 5*s**3 + 6*s**2.
s**2*(s - 2)**2*(s + 6)/4
Suppose g**2/5 - 418*g/5 + 2472/5 = 0. What is g?
6, 412
Let -f**3 - 162*f**2 - 6561*f = 0. Calculate f.
-81, 0
Factor v**5/2 - v**3 + v/2.
v*(v - 1)**2*(v + 1)**2/2
Suppose -49*l**2 + 532*l - 1444 = 0. Calculate l.
38/7
Factor 4*j**4 - 24*j**2 - 32*j - 12.
4*(j - 3)*(j + 1)**3
Factor 5*a**2 - 1950*a + 190125.
5*(a - 195)**2
Factor -2*n**2/17 + 468*n/17 - 27378/17.
-2*(n - 117)**2/17
Factor -5*f**3 - 280*f**2 - 805*f - 530.
-5*(f + 1)*(f + 2)*(f + 53)
Determine k, given that -k**4/4 - 3*k**3 - 9*k**2 = 0.
-6, 0
Solve -3*u**5/5 - 201*u**4/5 - 4089*u**3/5 - 22707*u**2/5 = 0 for u.
-29, -9, 0
Factor -4*k**3 - 2512*k**2 - 394384*k.
-4*k*(k + 314)**2
Factor -2*t**4 + 116*t**3.
-2*t**3*(t - 58)
Factor 2*j**4 + 38*j**3 - 2*j**2 - 38*j.
2*j*(j - 1)*(j + 1)*(j + 19)
Factor 38*k**3 + 226*k**2/5 + 36*k/5.
2*k*(k + 1)*(95*k + 18)/5
Factor k**4/9 - 34*k**3/9 + 125*k**2/9 - 152*k/9 + 20/3.
(k - 30)*(k - 2)*(k - 1)**2/9
Factor -s**3/5 + 113*s**2/5.
-s**2*(s - 113)/5
What is w in 4*w**5 - 204*w**4 + 3824*w**3 - 30464*w**2 + 75264*w + 109760 = 0?
-1, 10, 14
Factor -b**3 - 281*b**2 - 559*b - 279.
-(b + 1)**2*(b + 279)
Factor 1944*a**3 - 432*a**2 - 66*a - 2.
2*(3*a - 1)*(18*a + 1)**2
What is k in -3*k**5 + 3*k**4 + 27*k**3 + 33*k**2 + 12*k = 0?
-1, 0, 4
Factor -5*t**2 + 235*t + 1300.
-5*(t - 52)*(t + 5)
Determine z, given that -z**4 - z**3 + 31*z**2 + 25*z - 150 = 0.
-5, -3, 2, 5
What is v in v**3 - v**2 - 10*v - 8 = 0?
-2, -1, 4
Solve -4*n**4/7 - 20*n**3 - 916*n**2/7 - 204*n - 648/7 = 0.
-27, -6, -1
Factor 10*f**3 - 826*f**2 + 2828*f + 1264.
2*(f - 79)*(f - 4)*(5*f + 2)
Factor i**5/4 - 2*i**4 - 3*i**3/2 + 10*i**2 + 61*i/4 + 6.
(i - 8)*(i - 3)*(i + 1)**3/4
Let -t**3/4 - 14*t**2 - 203*t/4 + 65 = 0. What is t?
-52, -5, 1
Factor c**2/3 + 24*c + 69.
(c + 3)*(c + 69)/3
Find p such that -p**4 - 17*p**3 - 11*p**2 + 77*p - 48 = 0.
-16, -3, 1
Let 3*f**4/2 + 12*f**3 - 27*f**2/2 = 0. What is f?
-9, 0, 1
Factor 3*u**3/4 + 90*u**2 + 2700*u.
3*u*(u + 60)**2/4
Factor -c**2/8 - 2*c + 17/8.
-(c - 1)*(c + 17)/8
Suppose 9*u**4 + 60*u**3 + 81*u**2 + 30*u = 0. Calculate u.
-5, -1, -2/3, 0
Determine j, given that -3*j**5 + 61*j**4 - 255*j**3 - 561*j**2 - 242*j = 0.
-1, -2/3, 0, 11
What is k in -2*k**3 - 256*k**2 - 754*k - 500 = 0?
-125, -2, -1
Factor y**5/3 - 1264*y**4/3 + 531721*y**3/3 - 74084210*y**2/3 - 149768644*y/3 - 75151448/3.
(y - 422)**3*(y + 1)**2/3
Factor 32*o**2/7 - 4*o/7.
4*o*(8*o - 1)/7
Factor 406*m**2/11 - 4*m/11.
2*m*(203*m - 2)/11
Factor 2*h**2/3 + 604*h/3 + 602/3.
2*(h + 1)*(h + 301)/3
Factor 16*l**2/9 - 236*l/9 + 364/9.
4*(l - 13)*(4*l - 7)/9
Find o, given that -5*o**2 - 7300*o = 0.
-1460, 0
Suppose -2*h**3 + 2288*h**2 - 4570*h + 2284 = 0. What is h?
1, 1142
Determine n, given that n**2 - 134*n - 3080 = 0.
-20, 154
Suppose -5*g**5 - 25*g**4 + 5*g**3 + 85*g**2 - 60*g = 0. What is g?
-4, -3, 0, 1
Factor -8*z**3 + 380*z**2 - 184*z - 188.
-4*(z - 47)*(z - 1)*(2*z + 1)
Determine d, given that -d**4/5 - 18*d**3/5 - 17*d**2/5 = 0.
-17, -1, 0
Factor -3*c**2/7 - 32910*c/7 - 90255675/7.
-3*(c + 5485)**2/7
Solve 2*h**5/7 + 48*h**4/7 + 274*h**3/7 + 652*h**2/7 + 696*h/7 + 272/7 = 0.
-17, -2, -1
Factor -2*h**5 - 80*h**4 - 300*h**3 - 440*h**2 - 290*h - 72.
-2*(h + 1)**4*(h + 36)
Let -5*b**5 - 25*b**4 - 15*b**3 + 65*b**2 + 40*b - 60 = 0. What is b?
-3, -2, 1
Factor -2*p**2/7 + 144*p/7 + 110.
-2*(p - 77)*(p + 5)/7
Factor 3*s**2/8 - 9*s/2 - 135/8.
3*(s - 15)*(s + 3)/8
Determine h, given that 14*h**4/5 + 18*h**3/5 - 234*h**2/5 + 142*h/5 + 12 = 0.
-5, -2/7, 1, 3
Determine c, given that -28*c**3 + 256*c**2 - 780*c + 792 = 0.
3, 22/7
Solve -2*l**4/3 - 148*l**3/3 + 8*l**2/3 + 592*l/3 = 0.
-74, -2, 0, 2
Factor 5*b**3 + 20*b**2 - 355*b + 330.
5*(b - 6)*(b - 1)*(b + 11)
Factor 35*c**2 + 40*c + 5.
5*(c + 1)*(7*c + 1)
Factor 80645*w**3 + 81915*w**2 + 1275*w + 5.
5*(w + 1)*(127*w + 1)**2
Factor -4*l**4 + 140*l**3 - 612*l**2 + 324*l + 1080.
-4*(l - 30)*(l - 3)**2*(l + 1)
Factor -3072*t**2 - 576*t - 27.
-3*(32*t + 3)**2
Find z, given that -2*z**4/5 - 44*z**3/5 - 194*z**2/5 + 528*z/5 - 288/5 = 0.
-12, 1
Let p**2 - 26*p + 165 = 0. What is p?
11, 15
Let -4*u**5 - 240*u**4 + 276*u**3 + 1904*u**2 - 2928*u = 0. Calculate u.
-61, -3, 0, 2
Suppose -4*z**3 + 8*z**2 + 28*z + 16 = 0. What is z?
-1, 4
Find n such that 5*n**5 - 745*n**4 + 30215*n**3 - 182035*n**2 + 190280*n + 403280 = 0.
-1, 4, 71
Factor 2*m**3/7 + 62*m**2/7 + 32*m + 216/7.
2*(m + 2)**2*(m + 27)/7
Find i such that -5*i**2 + 12340*i - 7613780 = 0.
1234
Suppose 75*r**5/4 - 25*r**4 - 157*r**3/4 + 47*r**2/2 + 13*r - 6 = 0. What is r?
-1, -2/3, 2/5, 3/5, 2
Factor 5*j**4 - 10*j**3 - 100*j**2 + 330*j - 225.
5*(j - 3)**2*(j - 1)*(j + 5)
Determine u so that -25*u**5 + 140*u**4 - 165*u**3 + 10*u**2 + 40*u = 0.
-2/5, 0, 1, 4
Solve 2*b**4/7 - 10*b**3/7 - 4*b**2 = 0.
-2, 0, 7
Suppose 4*m**5/7 + 24*m**4/7 - 100*m**3/7 + 72*m**2/7 = 0. What is m?
-9, 0, 1, 2
Factor -u**4 - 5*u**3 + 2*u**2 + 24*u.
-u*(u - 2)*(u + 3)*(u + 4)
What is j in -4*j**5 + 60*j**4 - 52*j**3 - 636*j**2 - 520*j = 0?
-2, -1, 0, 5, 13
Factor 2*w**3 + 30*w**2 + 36*w - 208.
2*(w - 2)*(w + 4)*(w