Factor 2*x**4 + 102*x**3 - 2*x**2 - 102*x.
2*x*(x - 1)*(x + 1)*(x + 51)
Factor -15*w**3 - 455*w**2 - 585*w - 145.
-5*(w + 1)*(w + 29)*(3*w + 1)
Factor -3*d**3 + 138*d**2 - 1716*d + 2904.
-3*(d - 22)**2*(d - 2)
Factor o**3/3 + 4*o**2/3 - 55*o/3 + 50/3.
(o - 5)*(o - 1)*(o + 10)/3
Factor 2*j**5/3 + 4*j**4/3 - 4*j**2/3 - 2*j/3.
2*j*(j - 1)*(j + 1)**3/3
Determine f so that 6*f**3 + 2*f**2 - 6*f - 2 = 0.
-1, -1/3, 1
Let -28*n**3 + 3072*n**2 + 880*n = 0. What is n?
-2/7, 0, 110
Solve -6*o**4/5 + 164*o**3/5 + 112*o**2/5 = 0 for o.
-2/3, 0, 28
Factor 162*n**2/5 - 37872*n/5 + 2213408/5.
2*(9*n - 1052)**2/5
Determine j so that -32*j**5 + 388*j**4 - 1392*j**3 + 1832*j**2 - 880*j + 84 = 0.
1/8, 1, 3, 7
Determine t, given that 2*t**2/9 - 68*t/9 + 128/9 = 0.
2, 32
Solve 3*n**2 + 27*n + 24 = 0 for n.
-8, -1
Solve -140*a**4 - 144*a**3 + 20*a**2 + 24*a = 0.
-1, -3/7, 0, 2/5
Factor -4*s**2 - 880*s + 884.
-4*(s - 1)*(s + 221)
Determine g, given that 4*g**4 - 664*g**3 + 26884*g**2 + 55776*g + 28224 = 0.
-1, 84
Find a, given that 2*a**2/9 - 394*a = 0.
0, 1773
Determine a, given that a**2/3 + a/3 - 2/3 = 0.
-2, 1
Factor 3*f**2 + 219*f + 15987/4.
3*(2*f + 73)**2/4
Suppose -c**3 - 14*c**2 + 32*c = 0. Calculate c.
-16, 0, 2
Factor -118*m**2/3 + 198*m - 20/3.
-2*(m - 5)*(59*m - 2)/3
Factor 16*x**2/3 + 562*x/21 + 10/21.
2*(x + 5)*(56*x + 1)/21
Solve -i**3/6 - 5*i**2/3 - 17*i/6 + 14/3 = 0 for i.
-7, -4, 1
Factor 4*q**2 + 4*q - 24.
4*(q - 2)*(q + 3)
Find p, given that -12*p**3 + 8*p**2 = 0.
0, 2/3
Factor 5*t**4/2 + 55*t**3 - 250*t**2 + 260*t.
5*t*(t - 2)**2*(t + 26)/2
Let -75*k**5/2 - 345*k**4/2 + 171*k**3 + 528*k**2 + 240*k = 0. Calculate k.
-5, -4/5, 0, 2
Find d such that -3*d**2 - 1086*d - 6408 = 0.
-356, -6
Factor -5*b**3 - 398*b**2/5 - 1568*b/5 + 128/5.
-(b + 8)**2*(25*b - 2)/5
Solve -2*x**3/7 + 18*x**2/7 + 20*x/7 = 0 for x.
-1, 0, 10
Factor 9*n**2/2 + 339*n/2 + 111.
3*(n + 37)*(3*n + 2)/2
What is m in m**2/5 - 6*m + 209/5 = 0?
11, 19
Factor -j**3/3 + 16*j**2/3 + 12*j.
-j*(j - 18)*(j + 2)/3
Factor 15*r**4 - 159*r**3 + 219*r**2 - 21*r - 54.
3*(r - 9)*(r - 1)**2*(5*r + 2)
Factor 2*i**3/5 - 4*i**2 - 182*i/5 - 32.
2*(i - 16)*(i + 1)*(i + 5)/5
Factor -2*n**4 + 16*n**3 - 26*n**2 - 60*n + 144.
-2*(n - 4)*(n - 3)**2*(n + 2)
Determine k, given that -35*k**2 - 21360*k - 6100 = 0.
-610, -2/7
Factor -2*f**2/7 + 18*f + 128/7.
-2*(f - 64)*(f + 1)/7
Find i, given that -6*i**3/7 - 16*i**2/7 + 50*i/7 - 4 = 0.
-14/3, 1
Factor 6*s**3/19 - 70*s**2/19 + 192*s/19 + 72/19.
2*(s - 6)**2*(3*s + 1)/19
Factor -5*i**3/4 - 11905*i**2/4 - 7080495*i/4 + 7092405/4.
-5*(i - 1)*(i + 1191)**2/4
Suppose -t**2/3 + 20*t/3 + 44/3 = 0. What is t?
-2, 22
Let -5*a**5 - 45*a**4 - 100*a**3 + 100*a**2 + 480*a + 320 = 0. What is a?
-4, -2, -1, 2
Solve 2*t**4/13 - 2*t**3 - 164*t**2/13 - 280*t/13 - 144/13 = 0.
-2, -1, 18
Let 25*b**2 - 230*b + 45 = 0. What is b?
1/5, 9
Suppose 5*v**5 + 405*v**4 + 2160*v**3 - 247840*v**2 + 1697280*v + 1946880 = 0. Calculate v.
-52, -1, 12
What is b in 5*b**3 - 5*b**2 - 25*b - 15 = 0?
-1, 3
Find y such that 2*y**5 + 5*y**4/2 - 19*y**3/2 + 7*y**2/2 + 3*y/2 = 0.
-3, -1/4, 0, 1
Determine u so that -5*u**2/4 + 3085*u/4 = 0.
0, 617
Suppose 3*o**3/8 - 39*o**2/4 + 543*o/8 - 117/2 = 0. Calculate o.
1, 12, 13
Solve 2*r**2 + 1432*r + 256328 = 0.
-358
Suppose 4*q**3/3 - 104*q**2/3 + 640*q/3 - 384 = 0. Calculate q.
4, 18
Find a such that 34295*a**4 + 50540*a**3 + 18810*a**2 + 2700*a + 135 = 0.
-1, -3/19
What is s in s**5 + 134*s**4 + 4750*s**3 + 17552*s**2 + 21385*s + 8450 = 0?
-65, -2, -1
Factor -x**2 - 11*x - 24.
-(x + 3)*(x + 8)
Factor 15*u**4 - 42*u**3 + 21*u**2 + 6*u.
3*u*(u - 2)*(u - 1)*(5*u + 1)
Let 24*l**2 + 177*l + 63 = 0. Calculate l.
-7, -3/8
Determine q so that 2*q**2 - 1162*q - 3504 = 0.
-3, 584
Factor 2*y**3/19 - 66*y**2/19 + 720*y/19 - 2592/19.
2*(y - 12)**2*(y - 9)/19
Determine v so that v**5/3 + 5*v**4/6 - 7*v**3/6 - 11*v**2/3 - 2*v/3 + 4/3 = 0.
-2, -1, 1/2, 2
Find u such that -5*u**5 + 75*u**4 = 0.
0, 15
Factor -5*i**3 + 140*i**2 - 1280*i + 3840.
-5*(i - 12)*(i - 8)**2
Factor t**2 + 6996*t + 12236004.
(t + 3498)**2
Determine y, given that 4*y**4 + 252*y**3 + 4428*y**2 + 11252*y - 80736 = 0.
-29, -8, 3
Factor 2*r**5/7 - 18*r**4/7 + 30*r**3/7 - 2*r**2.
2*r**2*(r - 7)*(r - 1)**2/7
What is r in 2*r**4/3 + 290*r**3 - 874*r**2 + 2626*r/3 - 292 = 0?
-438, 1
Find n such that -n**5/4 + 3*n**4/4 + 5*n**3/4 - 27*n**2/4 + 8*n - 3 = 0.
-3, 1, 2
Factor -r**2/3 - 5*r/3 + 2.
-(r - 1)*(r + 6)/3
Factor 2*d**4/9 + 8*d**3/9 + 4*d**2/9 - 8*d/9 - 2/3.
2*(d - 1)*(d + 1)**2*(d + 3)/9
Factor -2*v**4 + 26*v**3 - 24*v**2.
-2*v**2*(v - 12)*(v - 1)
Determine k so that -4*k**4/3 - 30*k**3 + 200*k**2/3 + 30*k - 196/3 = 0.
-49/2, -1, 1, 2
Factor -l**3 + 86*l**2 - 1932*l + 3528.
-(l - 42)**2*(l - 2)
Let 2*q**2/13 - 15004*q/13 + 28140002/13 = 0. What is q?
3751
Factor 6*v**3 - 9*v**2 - 15*v + 18.
3*(v - 2)*(v - 1)*(2*v + 3)
Factor 4*f**3 + 24*f**2 - 16*f - 96.
4*(f - 2)*(f + 2)*(f + 6)
Factor -u**3 - 103*u**2 + 209*u - 105.
-(u - 1)**2*(u + 105)
Let 8*k**5/9 + 2*k**4 - 4*k**3/9 - 2*k**2 - 4*k/9 = 0. Calculate k.
-2, -1, -1/4, 0, 1
Factor -3*s**5 + 45*s**4 + 48*s**3.
-3*s**3*(s - 16)*(s + 1)
Solve -3*d**5/5 + 81*d**4/5 - 414*d**3/5 - 1758*d**2/5 - 387*d - 135 = 0 for d.
-1, 15
Find m such that 5*m**2 + 895*m - 12480 = 0.
-192, 13
Let -59*h**2/2 - 193*h/2 - 24 = 0. Calculate h.
-3, -16/59
Factor -d**2 - 3760*d - 3534400.
-(d + 1880)**2
Let 3*b**5/5 + 37*b**4/5 + 16*b**3/5 - 472*b**2/5 + 656*b/5 - 48 = 0. Calculate b.
-10, -6, 2/3, 1, 2
Solve -2*x**4/5 + 2*x**3 + 62*x**2/5 + 86*x/5 + 36/5 = 0 for x.
-2, -1, 9
Determine w so that -4*w**4 + 12*w**3 = 0.
0, 3
Find c such that 15*c**3 + 318*c**2 + 45*c - 378 = 0.
-21, -6/5, 1
Solve i**2/7 - 155*i/7 + 22 = 0.
1, 154
Factor 2*c**4/7 + 2*c**3/7 - 24*c**2/7 + 8*c/7 + 32/7.
2*(c - 2)**2*(c + 1)*(c + 4)/7
Suppose -3*t**5 + 12*t**4 - 15*t**3 + 6*t**2 = 0. What is t?
0, 1, 2
Solve -3*h**5/7 + 24*h**4/7 - 33*h**3/7 - 24*h**2/7 + 36*h/7 = 0.
-1, 0, 1, 2, 6
Factor -i**4 + 265*i**3 - 786*i**2 - 4*i + 1048.
-(i - 262)*(i - 2)**2*(i + 1)
Determine v, given that -v**4/7 - 5*v**3/7 + 6*v**2/7 = 0.
-6, 0, 1
Factor 2*p**2/7 - 58*p/7 - 60/7.
2*(p - 30)*(p + 1)/7
Factor 2*l**4 - 32*l**3 + 186*l**2 - 460*l + 400.
2*(l - 5)**2*(l - 4)*(l - 2)
Determine c so that -c**4/6 - 66*c**3 - 12935*c**2/2 + 39601*c/3 = 0.
-199, 0, 2
Suppose 2*o**4/7 - 26*o**3/7 - 6*o**2/7 + 74*o/7 + 52/7 = 0. Calculate o.
-1, 2, 13
Solve -243*z**3 + 7506*z**2/7 + 3588*z/7 + 408/7 = 0.
-2/9, 34/7
Factor -2*g**4/19 + 12*g**2/19 + 16*g/19 + 6/19.
-2*(g - 3)*(g + 1)**3/19
Let 3*p**4 + 18*p**3 - 96*p = 0. Calculate p.
-4, 0, 2
Factor -3*o**4/2 - 15*o**3 - 18*o**2 + 108*o.
-3*o*(o - 2)*(o + 6)**2/2
Solve 3*u**3 + 144*u**2 + 771*u + 630 = 0.
-42, -5, -1
Factor 6*z**2/7 - 33*z/7 + 45/7.
3*(z - 3)*(2*z - 5)/7
Factor 5*b**3 - 50*b**2 + 45*b.
5*b*(b - 9)*(b - 1)
Factor 5*u**3 - 35*u**2 + 80*u - 60.
5*(u - 3)*(u - 2)**2
Factor -3*r**3/2 + 714*r**2 - 1425*r/2.
-3*r*(r - 475)*(r - 1)/2
Suppose -2*f**4 - 86*f**3 - 534*f**2 - 1098*f - 648 = 0. What is f?
-36, -3, -1
Find u, given that -u**5/2 + 11*u**4 = 0.
0, 22
Factor m**3/5 + 63*m**2/5 + 182*m/5 + 24.
(m + 1)*(m + 2)*(m + 60)/5
Determine f so that -2*f**3/9 + 62*f**2/9 = 0.
0, 31
Let -5*m**3 - 90*m**2 - 85*m = 0. Calculate m.
-17, -1, 0
Factor c**2 + 4346*c + 4721929.
(c + 2173)**2
Factor 2*x**2/5 + 2*x - 28/5.
2*(x - 2)*(x + 7)/5
Factor -15*m**4 + 65*m**3 - 80*m**2 + 20*m.
-5*m*(m - 2)**2*(3*m - 1)
Factor -2*x**4/9 + 2*x**3/9 + 20*x**2/9 + 16*x/9.
-2*x*(x - 4)*(x + 1)*(x + 2)/9
Solve -v**5/5 + 3*v**4/5 - 2*v**3/5 - 2*v**2/5 + 3*v/5 - 1/5 = 0 for v.
-1, 1
Solve 14*r**4/15 - 52*r**3/15 - 16*r**2/15 = 0.
-2/7, 0, 4
Suppose k**5/3 + 7*k**4/3 + 3*k**3 - 7*k**2/3 - 10*k/3 = 0. Calculate k.
-5, -2, -1, 0, 1
Suppose 5*b**5 + 40*b**4 - 160*b**3 - 560*b**2 + 560*b + 1600 = 0. Calculate b.
-10, -2, 2, 4
Factor 5*y**2 - 21735*y.
5*y*(y - 4347)
Let 26*u**5/5 - 96*u**4/5 - 16*u**3/5 + 228*u**2/5 - 2*u - 132/5 = 0. Calculate u.
-1, 1, 22/13, 3
Find p, given that 4*p**2/5 + 1016*p/5 + 64516/5 = 0.
-127
Factor 3*w**2 - 6504*w + 6501.
3*(w - 2167)*(w - 1)
Let o**5/3 - 6*o**4 - 28*o**3 + 1960*o**2/3 = 0. Calculate o.
-10, 0, 14
Let -2*o**3/3 + 22*o**2/3 + 242*o/3 - 2662/3 = 0. Calculate o.
-11