////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page14.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10171)

Problem:
10175*x_1+10172*x_2+10171*x_3+10173*x_4+10177*x_5=10176 (mod 10174)
10182*x_1+10183*x_2+10179*x_3+10184*x_4+10178*x_5=10181 (mod 10180)
10185*x_1+10186*x_2+10191*x_3+10188*x_4+10189*x_5=10187 (mod 10190)
10196*x_1+10192*x_2+10197*x_3+10195*x_4+10194*x_5=10193 (mod 10198)
10204*x_1+10203*x_2+10205*x_3+10199*x_4+10201*x_5=10200 (mod 10202)
10208*x_1+10210*x_2+10207*x_3+10209*x_4+10212*x_5=10206 (mod 10211)
10216*x_1+10215*x_2+10217*x_3+10219*x_4+10213*x_5=10218 (mod 10214)
10225*x_1+10224*x_2+10221*x_3+10223*x_4+10220*x_5=10222 (mod 10226)
10227*x_1+10231*x_2+10230*x_3+10229*x_4+10228*x_5=10233 (mod 10232)
10238*x_1+10239*x_2+10240*x_3+10236*x_4+10237*x_5=10235 (mod 10234)

Solution:
x_1=71334601949862177328818388351832
x_2=21857441281568222057735475166210
x_3=59964166181301826208182430148864
x_4=64064280108228446803613707424000
x_5=15095146000501327778101479811780