////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page9.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10135)

Problem:
10135*x_1+10136*x_2+10138*x_3+10140*x_4+10141*x_5=10137 (mod 10139)
10143*x_1+10142*x_2+10146*x_3+10145*x_4+10144*x_5=10148 (mod 10147)
10154*x_1+10149*x_2+10153*x_3+10155*x_4+10152*x_5=10151 (mod 10150)
10161*x_1+10157*x_2+10162*x_3+10160*x_4+10156*x_5=10159 (mod 10158)
10163*x_1+10167*x_2+10164*x_3+10165*x_4+10169*x_5=10166 (mod 10168)
10172*x_1+10175*x_2+10170*x_3+10176*x_4+10171*x_5=10174 (mod 10173)
10177*x_1+10178*x_2+10183*x_3+10181*x_4+10180*x_5=10179 (mod 10182)
10184*x_1+10187*x_2+10185*x_3+10186*x_4+10188*x_5=10190 (mod 10189)
10194*x_1+10192*x_2+10196*x_3+10193*x_4+10195*x_5=10191 (mod 10197)
10204*x_1+10199*x_2+10201*x_3+10202*x_4+10198*x_5=10200 (mod 10203)

Solution:
x_1=6145575656649628579255567873491
x_2=12946269046971484143894649686210
x_3=5002678077009029167526310068820
x_4=843965792867249589679305308145
x_5=10502685422347994893786910501360