////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page16.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10212)

Problem:
10214*x_1+10215*x_2+10212*x_3+10218*x_4+10217*x_5=10216 (mod 10213)
10223*x_1+10220*x_2+10221*x_3+10222*x_4+10224*x_5=10219 (mod 10225)
10228*x_1+10227*x_2+10229*x_3+10230*x_4+10231*x_5=10226 (mod 10232)
10236*x_1+10235*x_2+10237*x_3+10238*x_4+10234*x_5=10233 (mod 10239)
10240*x_1+10244*x_2+10245*x_3+10242*x_4+10243*x_5=10241 (mod 10246)
10247*x_1+10252*x_2+10253*x_3+10249*x_4+10248*x_5=10251 (mod 10250)
10255*x_1+10259*x_2+10260*x_3+10256*x_4+10257*x_5=10254 (mod 10258)
10261*x_1+10265*x_2+10266*x_3+10267*x_4+10264*x_5=10263 (mod 10262)
10273*x_1+10270*x_2+10271*x_3+10268*x_4+10272*x_5=10269 (mod 10274)

Solution:
x_1=138255828309671863067339750642
x_2=97158491294119597163017768754
x_3=63499394017790686857882654128
x_4=220922344992313522865396908000
x_5=119337516714597929762111722625