**2 - 72*n = 0 for n.
-2/9, 0, 1, 12
Factor 3*i**3 + 1701*i**2 - 6840*i + 6852.
3*(i - 2)**2*(i + 571)
Factor 15*o**3 + 39*o**2 - 27*o - 27.
3*(o - 1)*(o + 3)*(5*o + 3)
Let -75*i**5 + 240*i**4 + 10161*i**3 + 16842*i**2 - 4596*i - 1512 = 0. What is i?
-9, -2, -1/5, 2/5, 14
Solve 4*b**2/3 + 680*b + 2028 = 0 for b.
-507, -3
Factor 2*z**5/9 - 2*z**4/9 - 4*z**3/9 + 4*z**2/9 + 2*z/9 - 2/9.
2*(z - 1)**3*(z + 1)**2/9
Factor -x**3/4 + x**2 - 5*x/4 + 1/2.
-(x - 2)*(x - 1)**2/4
Factor -g**2/6 - 31*g/6 - 14.
-(g + 3)*(g + 28)/6
Factor -x**3/2 + 49*x**2/2 - 312*x + 288.
-(x - 24)**2*(x - 1)/2
Solve -14*b**2 - 33792*b + 9656 = 0.
-2414, 2/7
Determine q so that -q**5/6 + q**4/6 = 0.
0, 1
Factor k**2/7 + 89*k/7 - 372/7.
(k - 4)*(k + 93)/7
Factor 2*f**3 - 54*f**2 + 228*f - 176.
2*(f - 22)*(f - 4)*(f - 1)
Factor -h**2/4 - 17*h/4 - 13.
-(h + 4)*(h + 13)/4
Factor 4*g**3 + 368*g**2 + 8464*g.
4*g*(g + 46)**2
Factor -n**2/6 - 4*n/3 + 3/2.
-(n - 1)*(n + 9)/6
Find u, given that -3*u**4 - 63*u**3 - 306*u**2 - 564*u - 360 = 0.
-15, -2
Determine p, given that 10*p**4 + 204*p**3 + 1110*p**2 + 1252*p + 336 = 0.
-12, -7, -1, -2/5
Solve 28*b**4 + 16028*b**3/5 + 92524*b**2 + 221844*b/5 + 25992/5 = 0 for b.
-57, -2/7, -1/5
Factor -2*l**2/3 - 448*l/3 - 25088/3.
-2*(l + 112)**2/3
Let -d**5/3 + 189*d**4 - 26506*d**3 - 241966*d**2/3 - 81035*d - 27075 = 0. Calculate d.
-1, 285
Let s**3 - 3*s**2 - 25*s - 21 = 0. What is s?
-3, -1, 7
Determine q, given that 5*q**2 + 775*q + 1530 = 0.
-153, -2
Find w, given that 48*w**4/11 + 582*w**3/11 + 1800*w**2/11 + 1752*w/11 + 192/11 = 0.
-8, -2, -1/8
Solve -2*a**5 - 6*a**4 + 14*a**3 + 30*a**2 - 36*a = 0.
-3, 0, 1, 2
Solve -n**5/4 - 2*n**4 - 4*n**3 - n**2/2 + 17*n/4 + 5/2 = 0 for n.
-5, -2, -1, 1
Solve -2*n**5/13 + 38*n**4/13 + 46*n**3/13 - 118*n**2/13 - 44*n/13 + 80/13 = 0 for n.
-2, -1, 1, 20
Determine x so that -x**2 + 376*x - 35344 = 0.
188
Let 2*p**3/7 - 110*p**2/7 = 0. Calculate p.
0, 55
Suppose -35736484*n**2 + 47824*n - 16 = 0. What is n?
2/2989
What is k in 4*k**3 - 5384*k**2 + 10756*k - 5376 = 0?
1, 1344
Find q such that 162*q**3 + 80100*q**2 + 35576*q + 3952 = 0.
-494, -2/9
Let 5*d**5 - 10*d**4 - 120*d**3 + 310*d**2 + 115*d - 300 = 0. Calculate d.
-5, -1, 1, 3, 4
Factor 5*c**3/6 - 65*c**2/3 - 275*c/6 - 70/3.
5*(c - 28)*(c + 1)**2/6
Factor -5041*t**3/2 + 20306*t**2 - 1138*t + 16.
-(t - 8)*(71*t - 2)**2/2
Let -t**2/2 - 81*t - 6561/2 = 0. Calculate t.
-81
Determine o, given that 3*o**2 + 21*o - 132 = 0.
-11, 4
Factor -2*d**2/3 + 524*d/3 - 174.
-2*(d - 261)*(d - 1)/3
Factor 5*t**2 - 17550*t + 17545.
5*(t - 3509)*(t - 1)
Let -2*a**2/3 - 24*a - 520/3 = 0. Calculate a.
-26, -10
What is s in -s**4/3 - 2*s**3/3 + 19*s**2/3 + 8*s/3 - 20 = 0?
-5, -2, 2, 3
Let -2*q**4/11 + 8*q**3/11 - 32*q/11 + 32/11 = 0. What is q?
-2, 2
Solve 2*j**3/5 + 18*j**2/5 + 6*j - 10 = 0.
-5, 1
Determine j, given that -5*j**2/6 + 25*j/2 + 85/3 = 0.
-2, 17
Let -4*b**3/7 + 24*b**2/7 - 20*b/7 = 0. Calculate b.
0, 1, 5
Factor -4*h**2 + 28*h - 40.
-4*(h - 5)*(h - 2)
Factor -2*y**2/5 + 844*y/5 - 89042/5.
-2*(y - 211)**2/5
Suppose -t**3/3 - 84*t**2 + 4*t/3 + 336 = 0. Calculate t.
-252, -2, 2
Factor 4*p**2 + 4*p - 24.
4*(p - 2)*(p + 3)
Factor -2*o**3/3 - 44*o**2/3 + 2*o/3 + 44/3.
-2*(o - 1)*(o + 1)*(o + 22)/3
Solve 193*l**3 + 1156*l**2 + 1725*l - 18 = 0.
-3, 2/193
Factor u**2 + 2898*u + 2099601.
(u + 1449)**2
Determine x so that -21*x**3/5 + 141*x**2/5 + 84*x + 108/5 = 0.
-2, -2/7, 9
Suppose -2*x**4/7 + 8*x**3/7 + 442*x**2/7 = 0. What is x?
-13, 0, 17
Let 2*y**3 - 250*y**2 - 252*y = 0. What is y?
-1, 0, 126
Factor 4*b**5 + 28*b**4 + 76*b**3 + 100*b**2 + 64*b + 16.
4*(b + 1)**3*(b + 2)**2
Find b, given that -4*b**2 - 776*b + 780 = 0.
-195, 1
Factor p**5 - 15*p**4 + 81*p**3 - 189*p**2 + 162*p.
p*(p - 6)*(p - 3)**3
Let -6*s**5 - 38*s**4 + 30*s**3 + 14*s**2 = 0. Calculate s.
-7, -1/3, 0, 1
Find v, given that -3*v**5/4 - 9*v**4 + 39*v**3/4 = 0.
-13, 0, 1
Determine f, given that -f**3/2 + 2*f**2 - 5*f/2 + 1 = 0.
1, 2
Find g such that -3*g**3/5 + 45*g**2 + 459*g/5 + 231/5 = 0.
-1, 77
Factor -2*g**3/7 - 22*g**2/7 - 30*g/7 + 54/7.
-2*(g - 1)*(g + 3)*(g + 9)/7
Solve -v**2/6 - 227*v/3 = 0.
-454, 0
Determine c so that -3*c**2/7 - 738*c/7 - 105 = 0.
-245, -1
Find o such that -20*o**3 + 15912*o**2 - 3161712*o - 1267232 = 0.
-2/5, 398
Factor -4*y**2 - 8208*y - 4210704.
-4*(y + 1026)**2
Determine c, given that 5*c**3 - 275*c**2 - 2565*c + 2835 = 0.
-9, 1, 63
Factor -2*w**2/19 - 2*w/19 + 40/19.
-2*(w - 4)*(w + 5)/19
Factor -5*h**2 - 80*h - 75.
-5*(h + 1)*(h + 15)
Solve -15*r**4 + 185*r**3 - 50*r**2 - 120*r = 0.
-2/3, 0, 1, 12
Solve h**2 + 644*h + 103684 = 0.
-322
Solve -6*t**5 + 81*t**4 + 141*t**3 - 90*t**2 = 0 for t.
-2, 0, 1/2, 15
Find s such that -4*s**2/7 - 2432*s - 2587648 = 0.
-2128
Suppose -2*v**3 + 2324*v**2 - 682040*v + 4009008 = 0. What is v?
6, 578
Determine h so that h**3/2 + 5*h**2 + 3*h/2 - 27 = 0.
-9, -3, 2
Find w, given that 4*w**2 + 3512*w - 3516 = 0.
-879, 1
Factor -3*v**2 + 33*v.
-3*v*(v - 11)
Factor 2*r**2/13 + 112*r + 1454/13.
2*(r + 1)*(r + 727)/13
What is v in v**4/5 + v**3/5 - 4*v**2/5 - 4*v/5 = 0?
-2, -1, 0, 2
Determine a so that a**2/2 - 27*a/2 + 25 = 0.
2, 25
Suppose -3*k**5/5 + 9*k**4/5 - 6*k**3/5 - 6*k**2/5 + 9*k/5 - 3/5 = 0. What is k?
-1, 1
Suppose -3*i**3/2 + 39*i**2 - 213*i/2 + 69 = 0. Calculate i.
1, 2, 23
Factor 2*p**3 - 2*p**2 - 2*p + 2.
2*(p - 1)**2*(p + 1)
Determine u, given that -u**5/2 - 9*u**4/2 + 53*u**3/2 - 3*u**2/2 - 98*u + 78 = 0.
-13, -2, 1, 2, 3
Factor 75*k**4 + 90*k**3 - 33*k**2 - 36*k + 12.
3*(k + 1)**2*(5*k - 2)**2
Factor 8*z**2 - 108*z + 52.
4*(z - 13)*(2*z - 1)
Suppose 3*l**4 - 3*l**2 = 0. Calculate l.
-1, 0, 1
Factor -2*j**3 + 2258*j**2 - 638448*j + 636192.
-2*(j - 564)**2*(j - 1)
Factor -3*g**2 + 144*g + 300.
-3*(g - 50)*(g + 2)
Determine b, given that 9*b**2 - 48*b - 36 = 0.
-2/3, 6
Determine g, given that -5*g**3 + 1015*g**2 = 0.
0, 203
Factor -g**3/4 - 11*g**2/2 + g + 22.
-(g - 2)*(g + 2)*(g + 22)/4
Suppose t**3 + 2*t**2 - 3*t = 0. What is t?
-3, 0, 1
Factor -z**4 + 280*z**3 - 19600*z**2.
-z**2*(z - 140)**2
Factor -3*j**3 + 141*j**2 - 1725*j + 1587.
-3*(j - 23)**2*(j - 1)
Let -2*u**2/15 + 2848*u/5 - 3041664/5 = 0. What is u?
2136
Factor -2*c**4/5 - 24*c**3/5 + 84*c**2/5 - 88*c/5 + 6.
-2*(c - 1)**3*(c + 15)/5
Factor -5*r**2 - 6400*r - 2048000.
-5*(r + 640)**2
Factor -14*d**3 - 1158*d**2 - 3028*d + 960.
-2*(d + 3)*(d + 80)*(7*d - 2)
Factor -3*i**3 - 42*i**2 - 132*i - 120.
-3*(i + 2)**2*(i + 10)
Determine s, given that -14*s**2 + 108*s + 32 = 0.
-2/7, 8
Factor 4*f**3 + 24*f**2 + 12*f - 40.
4*(f - 1)*(f + 2)*(f + 5)
Determine k so that -8*k**4/3 + 14*k**3/3 + 12*k**2 - 56*k/3 - 16/3 = 0.
-2, -1/4, 2
Determine l, given that -l**4/7 - 5*l**3/7 - 9*l**2/7 - l - 2/7 = 0.
-2, -1
Factor 2*t**3 - 38*t**2 + 68*t.
2*t*(t - 17)*(t - 2)
What is q in q**4/4 - 29*q**3 - 59*q**2/2 + 29*q + 117/4 = 0?
-1, 1, 117
Factor 8*p**2 - 92*p + 120.
4*(p - 10)*(2*p - 3)
Factor -54*j**4 + 105*j**3 - 48*j**2 - 3*j.
-3*j*(j - 1)**2*(18*j + 1)
Suppose -5*l**2 + 25*l + 120 = 0. What is l?
-3, 8
Determine n so that 2*n**3/9 - 98*n/9 = 0.
-7, 0, 7
Find o such that o**3 + 2662*o**2/3 + 196544*o - 131424 = 0.
-444, 2/3
Factor 4*g**3 - 2520*g**2 + 529200*g - 37044000.
4*(g - 210)**3
What is w in 4*w**4/7 + 8*w**3/7 - 20*w**2 = 0?
-7, 0, 5
Suppose q**4/2 + 7*q**3/2 - 17*q**2/2 + 9*q/2 = 0. What is q?
-9, 0, 1
Suppose -z**4 + 35*z**3 = 0. What is z?
0, 35
Factor 2*n**5 + 14*n**4 + 10*n**3 - 14*n**2 - 12*n.
2*n*(n - 1)*(n + 1)**2*(n + 6)
Factor a**3/2 - 1239*a**2/2 + 191580*a + 192200.
(a - 620)**2*(a + 1)/2
Factor -3*q**4 + 16563*q**3 - 22869360*q**2 + 22852800*q.
-3*q*(q - 2760)**2*(q - 1)
Factor -3*p**2 - 18*p + 48.
-3*(p - 2)*(p + 8)
Factor b**3 + 3058*b**2 + 2337841*b.
b*(b + 1529)**2
Let -4*f**5/3 + 41*f**4/3 - 34*f**3 + 79*f**2/3 - 14*f/3 = 0. Calculate f.
0, 1/4, 1, 2, 7
Suppose -3*d**4/2 - 6*d**3 + 3*d**2 + 18*d - 27/2 = 0. What is d?
-3, 1
What is q in 4*q**3/3 + 1888*q**2/3 + 3764*q/3 + 1880/3 = 0?
-470, -1
Factor 44*l**3 + 344*l**2 + 464*l - 96.
4*(l + 2)*(l + 6)*(11*l - 2)
Factor -4*m**2 + 148*m.
-4*m*(m - 37)
Determine b so that b**4/3 + 14*b**3/3 + 15*b**2 + 52*b/3 + 20/3 = 0.
-10, -2, -1
Factor -m**2 + 58*m + 120.
-(m - 60)*(m + 2)
Factor -k**5 + 6*k**3 - 8*k**