////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page7.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10076)

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

Solution:
x_1=5788512177020069989542977
x_2=6052481134016637900132003
x_3=4835959283092934095011000
x_4=904582052384911242755875
x_5=1688186565849044082225250