////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page34.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10402)

Problem:
10405*x_1+10403*x_2+10408*x_3+10402*x_4+10404*x_5=10406 (mod 10407)
10410*x_1+10411*x_2+10412*x_3+10409*x_4+10415*x_5=10413 (mod 10414)
10418*x_1+10416*x_2+10417*x_3+10419*x_4+10422*x_5=10421 (mod 10420)
10425*x_1+10428*x_2+10426*x_3+10424*x_4+10423*x_5=10429 (mod 10427)
10432*x_1+10433*x_2+10430*x_3+10434*x_4+10435*x_5=10431 (mod 10436)
10443*x_1+10442*x_2+10441*x_3+10439*x_4+10438*x_5=10440 (mod 10437)
10450*x_1+10447*x_2+10448*x_3+10449*x_4+10445*x_5=10444 (mod 10446)
10457*x_1+10455*x_2+10451*x_3+10454*x_4+10456*x_5=10452 (mod 10453)
10460*x_1+10462*x_2+10458*x_3+10461*x_4+10459*x_5=10464 (mod 10463)
10469*x_1+10468*x_2+10470*x_3+10465*x_4+10467*x_5=10466 (mod 10471)

Solution:
x_1=246981865392946150823785431
x_2=143289560341937605664616002
x_3=126431952022894719454879626
x_4=171363236560131555381084643
x_5=186749135483552605896757825