////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page17.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(7,5,10214)

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

Solution:
x_1=3415675898465806739452
x_2=8687126112356520024064
x_3=9028516366168459065345
x_4=2928244756974107873280
x_5=6100271609194351192065