////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page1.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(7,5,10008)

Problem:
10011*x_1+10008*x_2+10009*x_3+10013*x_4+10014*x_5=10012 (mod 10010)
10020*x_1+10017*x_2+10016*x_3+10019*x_4+10018*x_5=10021 (mod 10015)
10022*x_1+10026*x_2+10027*x_3+10025*x_4+10028*x_5=10023 (mod 10024)
10032*x_1+10034*x_2+10033*x_3+10029*x_4+10035*x_5=10031 (mod 10030)
10036*x_1+10037*x_2+10042*x_3+10038*x_4+10040*x_5=10041 (mod 10039)
10049*x_1+10046*x_2+10043*x_3+10044*x_4+10045*x_5=10047 (mod 10048)
10052*x_1+10050*x_2+10051*x_3+10056*x_4+10053*x_5=10054 (mod 10055)

Solution:
x_1=86974305543554288971864
x_2=47025366484348811372352
x_3=89115125990748476361600
x_4=56857306947222335178625
x_5=4873483452619057301025