(j - 1)*(j + 2)*(j + 21)
Factor 5*x**2 + 53500*x + 143112500.
5*(x + 5350)**2
Factor k**3/10 + 5*k**2/2 + 143*k/10 - 169/10.
(k - 1)*(k + 13)**2/10
Let -b**5/5 - 18*b**4/5 + 8*b**3 - 2*b**2/5 - 39*b/5 + 4 = 0. Calculate b.
-20, -1, 1
Determine b so that -3*b**2 + 246*b - 5043 = 0.
41
Solve -4*s**4 - 304*s**3 - 884*s**2 - 584*s = 0 for s.
-73, -2, -1, 0
Factor -6*h**3 + 176*h**2 - 1138*h + 360.
-2*(h - 20)*(h - 9)*(3*h - 1)
Determine l, given that 8*l**3 - 218*l**2/3 - 74*l + 20/3 = 0.
-1, 1/12, 10
Factor 3*p**3 + 9*p**2 - 228*p + 396.
3*(p - 6)*(p - 2)*(p + 11)
Factor x**5 + 25*x**4 - 26*x**3.
x**3*(x - 1)*(x + 26)
Factor -9*a**3 + 1245*a**2 + 837*a - 417.
-3*(a - 139)*(a + 1)*(3*a - 1)
Let 3*z**3/8 + 9*z**2/4 - 183*z/8 - 99/4 = 0. What is z?
-11, -1, 6
Suppose -f**4/9 + 16*f**3/9 + 40*f**2/9 - 64*f/9 - 16 = 0. Calculate f.
-2, 2, 18
Let -2*m**5/13 - 126*m**4/13 - 2368*m**3/13 - 11840*m**2/13 - 10752*m/13 + 25088/13 = 0. Calculate m.
-28, -4, 1
Factor t**4/8 + 15*t**3/8.
t**3*(t + 15)/8
Let -4*r**4 - 12*r**3 + 144*r**2 - 128*r = 0. Calculate r.
-8, 0, 1, 4
Factor 16*j**3 + 11956*j**2 + 2229040*j - 1678512.
4*(j + 374)**2*(4*j - 3)
Factor -5*k**2 - 1745*k - 3470.
-5*(k + 2)*(k + 347)
Solve -14*g**4 + 66*g**3 + 20*g**2 = 0 for g.
-2/7, 0, 5
Determine s so that -3*s**5/8 - 69*s**4/8 - 213*s**3/4 - 147*s**2/4 + 429*s/8 + 363/8 = 0.
-11, -1, 1
What is x in -2*x**5/7 + 22*x**4/7 + 90*x**3/7 - 62*x**2/7 - 296*x/7 - 24 = 0?
-3, -1, 2, 14
Factor 2*q**3/7 - 44*q**2 - 1902*q/7 - 2880/7.
2*(q - 160)*(q + 3)**2/7
Determine v, given that 2*v**3/17 + 2*v**2/17 - 98*v/17 - 98/17 = 0.
-7, -1, 7
Suppose 15*g**3/7 + 81*g**2/7 + 30*g/7 = 0. Calculate g.
-5, -2/5, 0
Suppose -2*r**3/9 - 40*r**2/9 + 42*r = 0. Calculate r.
-27, 0, 7
Factor -9*p**3/8 + 5*p**2/2 + 17*p/2 - 2.
-(p - 4)*(p + 2)*(9*p - 2)/8
Suppose -27*u**5/4 - 351*u**4/4 - 333*u**3/4 - 109*u**2/4 - 3*u = 0. Calculate u.
-12, -1/3, 0
Determine o so that o**2/4 - 3*o/2 - 27/4 = 0.
-3, 9
Factor 3*m**3 - 33*m**2 - 78*m.
3*m*(m - 13)*(m + 2)
Solve 2*l**2/19 - 162*l/19 = 0 for l.
0, 81
Factor -3*o**3 - 339*o**2 + 1392*o - 1404.
-3*(o - 2)**2*(o + 117)
Factor 5*r**3 + 1325*r**2 - 2665*r + 1335.
5*(r - 1)**2*(r + 267)
Solve 3*d**5 + 687*d**4 - 2079*d**3 + 2085*d**2 - 696*d = 0.
-232, 0, 1
Solve 2*p**2/5 - 868*p/5 - 174 = 0 for p.
-1, 435
Let -3*s**2/4 + 5*s/4 + 11/2 = 0. Calculate s.
-2, 11/3
What is q in 4*q**2 + 11344*q + 8042896 = 0?
-1418
Determine h so that h**5/5 - 4*h**4/5 - 2*h**3/5 + 8*h**2/5 + h/5 - 4/5 = 0.
-1, 1, 4
Factor -3*a**2/7 - 174*a/7 - 171/7.
-3*(a + 1)*(a + 57)/7
Find p, given that 250*p**5/7 + 3550*p**4/7 + 1360*p**3 + 1168*p**2 + 2848*p/7 + 352/7 = 0.
-11, -2, -2/5
Find s such that 2*s**5/9 - 4*s**4/9 - 2*s**3/3 = 0.
-1, 0, 3
Determine v, given that v**5 + 3*v**4 - 3*v**3 - 11*v**2 - 6*v = 0.
-3, -1, 0, 2
Solve -2*l**4 - 180*l**3 + 184*l**2 + 180*l - 182 = 0.
-91, -1, 1
Factor -g**3/3 + 31*g**2/3 - 280*g/3 + 196.
-(g - 14)**2*(g - 3)/3
Determine p, given that -p**4/3 - 5*p**3/3 + 9*p**2 + 101*p/3 + 70/3 = 0.
-7, -2, -1, 5
Factor -3*x**2 + 33*x.
-3*x*(x - 11)
Factor -l**3/2 + 13*l**2/2 - 6*l.
-l*(l - 12)*(l - 1)/2
Find u such that -2*u**2/11 - 58*u/11 + 60/11 = 0.
-30, 1
Factor -37249*j**2/10 - 386*j/5 - 2/5.
-(193*j + 2)**2/10
Factor 2*o**2/5 - 998*o/5 - 2004/5.
2*(o - 501)*(o + 2)/5
Suppose 4*a**2 - 304*a + 300 = 0. What is a?
1, 75
Factor 4*r**2 - 512*r + 1008.
4*(r - 126)*(r - 2)
Let 36*g**4/7 - 60*g**3 - 608*g**2/7 - 208*g/7 = 0. What is g?
-2/3, 0, 13
Determine o so that -4*o**4 + 4*o**3 + 24*o**2 - 16*o - 32 = 0.
-2, -1, 2
Factor -d**4/4 + 11*d**3/4 - 13*d**2/2 + 4*d.
-d*(d - 8)*(d - 2)*(d - 1)/4
Factor 3*z**4 + 12*z**3 - 18*z**2 - 12*z + 15.
3*(z - 1)**2*(z + 1)*(z + 5)
Solve -11*z**3/3 + 276*z**2 - 75*z = 0 for z.
0, 3/11, 75
What is h in -4*h**3 - 104*h**2 + 220*h - 112 = 0?
-28, 1
Factor -5*r**2 + 29630*r - 43896845.
-5*(r - 2963)**2
Factor 3*d**3/2 - 51*d**2 + 1035*d/2 - 1350.
3*(d - 15)**2*(d - 4)/2
Factor c**3/5 + 3216*c**2/5 + 516489*c - 5177762/5.
(c - 2)*(c + 1609)**2/5
Solve 2*s**5/3 - 70*s**4/3 + 66*s**3 - 194*s**2/3 + 64*s/3 = 0 for s.
0, 1, 32
Factor -j**4/5 + 109*j**3/5 - 2683*j**2/5 - 15789*j/5 - 12996/5.
-(j - 57)**2*(j + 1)*(j + 4)/5
Factor 4*v**4/5 + 16*v**3 + 68*v**2/5 - 152*v/5.
4*v*(v - 1)*(v + 2)*(v + 19)/5
Determine y, given that 5*y**4/4 + 15*y**3/2 - 5*y**2/4 - 15*y/2 = 0.
-6, -1, 0, 1
Solve 3*b**4 - 51*b**3 - 378*b**2 - 804*b - 552 = 0 for b.
-2, 23
Solve 2*i**5/11 + 2*i**4/11 - 26*i**3/11 - 50*i**2/11 - 24*i/11 = 0 for i.
-3, -1, 0, 4
Determine z so that -z**2/4 - 8*z + 33/4 = 0.
-33, 1
Factor -5*t**3 - 975*t**2 - 48015*t - 47045.
-5*(t + 1)*(t + 97)**2
Factor -r**3/3 - 379*r**2/3 - 35720*r/3 + 36100/3.
-(r - 1)*(r + 190)**2/3
Determine o so that o**4/6 + 4*o**3/3 + 13*o**2/6 + o = 0.
-6, -1, 0
Factor -n**3/3 - 8*n**2/3 - 13*n/3 - 2.
-(n + 1)**2*(n + 6)/3
Factor 5*y**5 + 45*y**4 + 30*y**3 - 80*y**2.
5*y**2*(y - 1)*(y + 2)*(y + 8)
Factor -4*u**4/5 + 5856*u**3/5 - 3214944*u**2/5 + 784446336*u/5 - 71776839744/5.
-4*(u - 366)**4/5
Determine j so that j**5/2 - 5*j**4 + 27*j**3/2 + 5*j**2 - 62*j + 60 = 0.
-2, 2, 3, 5
Factor 6*x**3 + 86*x**2 - 1776*x + 1144.
2*(x - 11)*(x + 26)*(3*x - 2)
Factor 3*x**2 - 219*x - 222.
3*(x - 74)*(x + 1)
Determine i, given that i**2 - 250*i - 251 = 0.
-1, 251
Solve -5*v**2/2 + 135*v - 3645/2 = 0 for v.
27
Factor 2*u**2 + 88*u + 968.
2*(u + 22)**2
Suppose -98*p**4 + 868*p**3 - 2258*p**2 + 1488*p - 288 = 0. What is p?
3/7, 4
Factor 4*n**2/5 + 16*n - 84/5.
4*(n - 1)*(n + 21)/5
Find a such that -a**4/4 + 77*a**3/4 + 79*a**2/2 = 0.
-2, 0, 79
Factor -2*d**3/15 - 16*d**2/15 - 2*d.
-2*d*(d + 3)*(d + 5)/15
Determine b so that b**3 - 12*b**2 + 9*b + 22 = 0.
-1, 2, 11
Factor -2*g**3 + 40*g**2 - 154*g - 484.
-2*(g - 11)**2*(g + 2)
Solve 2*a**4 + 32*a**3 - 108*a**2 + 112*a - 38 = 0 for a.
-19, 1
Factor 32*y**3/11 - 304*y**2/11 + 402*y/11 - 144/11.
2*(y - 8)*(4*y - 3)**2/11
Suppose -3*d**2/5 + 537*d/5 - 1584/5 = 0. Calculate d.
3, 176
Factor 4*o**2/7 + 1170*o/7 + 584/7.
2*(o + 292)*(2*o + 1)/7
Determine b so that -2*b**5/3 - 692*b**4/3 - 20854*b**3 - 467792*b**2/3 - 913952*b/3 = 0.
-169, -4, 0
Factor -a**2/4 + 63*a/2 - 122.
-(a - 122)*(a - 4)/4
Factor b**2/2 - 44*b/3 - 10.
(b - 30)*(3*b + 2)/6
Find f, given that -4*f**5 - 580*f**4 + 2964*f**3 - 5372*f**2 + 4192*f - 1200 = 0.
-150, 1, 2
Factor 6*l**2/11 + 636*l/11 + 2448/11.
6*(l + 4)*(l + 102)/11
Determine r so that 5*r**3 + 290*r**2 + 2380*r - 57800 = 0.
-34, 10
Let -c**2/7 - 330*c/7 - 47 = 0. Calculate c.
-329, -1
Let -3*b**2/8 - 19353*b/4 - 124846203/8 = 0. Calculate b.
-6451
Factor 3*i**3 + 54*i**2 + 213*i + 234.
3*(i + 2)*(i + 3)*(i + 13)
Factor -2*x**2 + 636*x - 634.
-2*(x - 317)*(x - 1)
Solve 5*o**3 + 5*o**2 = 0 for o.
-1, 0
Suppose -f**4/4 + 93*f**3/4 + 241*f**2/2 + 195*f + 98 = 0. Calculate f.
-2, -1, 98
What is p in -5*p**4/2 + 9*p**3 - 17*p**2/2 + 2 = 0?
-2/5, 1, 2
Factor -2*v**2/21 - 64*v/21 + 22/7.
-2*(v - 1)*(v + 33)/21
Factor 3*c**3/8 - 75*c**2/8 + 357*c/8 - 285/8.
3*(c - 19)*(c - 5)*(c - 1)/8
Factor v**2 + 22*v - 779.
(v - 19)*(v + 41)
Factor f**4 + 3*f**3 - 9*f**2 + 5*f.
f*(f - 1)**2*(f + 5)
What is x in -x**5/3 + x**4 + 16*x**3/3 + 4*x**2 = 0?
-2, -1, 0, 6
Factor 3*x**2 + 774*x + 771.
3*(x + 1)*(x + 257)
Suppose 2*t**4/9 + 4*t**3 - 170*t**2/9 + 44*t/3 = 0. Calculate t.
-22, 0, 1, 3
Factor 2*l**5/7 + 2*l**4/7 - 4*l**3/7.
2*l**3*(l - 1)*(l + 2)/7
Factor 2*a**4 - 14*a**3 - 20*a**2 + 32*a.
2*a*(a - 8)*(a - 1)*(a + 2)
Solve 2*i**4/3 + 134*i**3/3 - 46*i**2 - 134*i/3 + 136/3 = 0 for i.
-68, -1, 1
Suppose 2*c**5/11 - 56*c**4/11 + 488*c**3/11 - 1344*c**2/11 + 1152*c/11 = 0. Calculate c.
0, 2, 12
Factor 5*p**3 - 270*p**2 + 1840*p.
5*p*(p - 46)*(p - 8)
Factor -m**2 - 436*m - 47524.
-(m + 218)**2
Factor -6241*f**2/6 + 158*f/3 - 2/3.
-(79*f - 2)**2/6
Suppose -4*q**4 + 40*q**3 - 28*q**2 - 72*q = 0. Calculate q.
-1, 0, 2, 9
Find f, given that -f**2/8 - 17*f/2 = 0.
-68, 0
What is l in -4*l**2/3 + 72*l - 972 = 0?
27
What is c in -2*c**4/3 - 8*c**3 - 40*c**2/3 + 64*c = 0?
-8, -6, 0, 2
Solve -f**5 + 7*f**3 - 6*f**2 = 0.
-3, 0, 1, 2
Let -3*m**5/8 - 81*m**4/8 - 57*m**3 + 471*m**2/2 + 1008*m - 1176 = 0. What is m?
-14, -4, 1, 4
Let h**2 + 1804*h + 813604 = 0. What is h?
-902
Factor -4*b**3/5 + 6