////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page6.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10069)

Problem:
10069*x_1+10073*x_2+10075*x_3+10071*x_4+10074*x_5=10072 (mod 10070)
10079*x_1+10078*x_2+10080*x_3+10081*x_4+10076*x_5=10082 (mod 10077)
10087*x_1+10085*x_2+10084*x_3+10083*x_4+10088*x_5=10086 (mod 10089)
10091*x_1+10090*x_2+10093*x_3+10094*x_4+10095*x_5=10092 (mod 10096)
10103*x_1+10100*x_2+10101*x_3+10097*x_4+10102*x_5=10099 (mod 10098)
10110*x_1+10107*x_2+10108*x_3+10105*x_4+10104*x_5=10109 (mod 10106)
10114*x_1+10115*x_2+10111*x_3+10112*x_4+10117*x_5=10116 (mod 10113)
10118*x_1+10123*x_2+10122*x_3+10121*x_4+10124*x_5=10120 (mod 10119)
10127*x_1+10126*x_2+10129*x_3+10131*x_4+10125*x_5=10130 (mod 10128)
10135*x_1+10136*x_2+10132*x_3+10137*x_4+10138*x_5=10134 (mod 10133)

Solution:
x_1=19415227718768415068892124998184
x_2=1636970582299749139875759525198
x_3=13889942654675009150768637466369
x_4=14651431530260939562226460061680
x_5=13186288377234845606003814055512