////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page10.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(12,5,10146)

Problem:
10152*x_1+10149*x_2+10146*x_3+10151*x_4+10150*x_5=10148 (mod 10147)
10153*x_1+10159*x_2+10155*x_3+10154*x_4+10157*x_5=10156 (mod 10158)
10162*x_1+10163*x_2+10166*x_3+10164*x_4+10161*x_5=10160 (mod 10165)
10169*x_1+10167*x_2+10168*x_3+10171*x_4+10170*x_5=10172 (mod 10173)
10174*x_1+10177*x_2+10178*x_3+10175*x_4+10176*x_5=10180 (mod 10179)
10181*x_1+10184*x_2+10182*x_3+10186*x_4+10183*x_5=10185 (mod 10187)
10188*x_1+10190*x_2+10191*x_3+10193*x_4+10189*x_5=10192 (mod 10194)
10197*x_1+10201*x_2+10198*x_3+10200*x_4+10195*x_5=10199 (mod 10196)
10202*x_1+10203*x_2+10208*x_3+10205*x_4+10207*x_5=10206 (mod 10204)
10210*x_1+10212*x_2+10211*x_3+10213*x_4+10215*x_5=10214 (mod 10209)
10220*x_1+10218*x_2+10216*x_3+10217*x_4+10219*x_5=10221 (mod 10222)
10228*x_1+10227*x_2+10224*x_3+10225*x_4+10223*x_5=10226 (mod 10229)

Solution:
x_1=6738988304256710590504308445315323822708354
x_2=4200683278879395942680884859080584456121008
x_3=4305847443599240764075031661400003849892945
x_4=4438221916673171308487244419564307981913565
x_5=8041749239241280573041925058481476020252665