////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page19.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(6,5,10226)

Problem:
10228*x_1+10226*x_2+10229*x_3+10230*x_4+10232*x_5=10231 (mod 10227)
10237*x_1+10235*x_2+10239*x_3+10236*x_4+10234*x_5=10238 (mod 10233)
10240*x_1+10245*x_2+10242*x_3+10241*x_4+10243*x_5=10244 (mod 10246)
10253*x_1+10250*x_2+10248*x_3+10249*x_4+10251*x_5=10247 (mod 10252)
10260*x_1+10256*x_2+10257*x_3+10258*x_4+10259*x_5=10254 (mod 10255)
10264*x_1+10262*x_2+10266*x_3+10265*x_4+10261*x_5=10267 (mod 10263)

Solution:
x_1=132765010595772143616
x_2=38951646409796093952
x_3=73192831673355453235
x_4=153391127097170653185
x_5=64919410682993489920