////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page62.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10753)

Problem:
10758*x_1+10754*x_2+10756*x_3+10759*x_4+10755*x_5=10757 (mod 10753)
10766*x_1+10762*x_2+10760*x_3+10764*x_4+10761*x_5=10765 (mod 10763)
10771*x_1+10770*x_2+10772*x_3+10768*x_4+10767*x_5=10769 (mod 10773)
10774*x_1+10776*x_2+10779*x_3+10775*x_4+10780*x_5=10777 (mod 10778)
10785*x_1+10786*x_2+10787*x_3+10781*x_4+10783*x_5=10784 (mod 10782)
10792*x_1+10790*x_2+10788*x_3+10793*x_4+10791*x_5=10789 (mod 10794)
10797*x_1+10796*x_2+10800*x_3+10798*x_4+10801*x_5=10799 (mod 10795)
10803*x_1+10808*x_2+10804*x_3+10806*x_4+10802*x_5=10805 (mod 10807)
10810*x_1+10811*x_2+10813*x_3+10814*x_4+10815*x_5=10812 (mod 10809)

Solution:
x_1=125013939193401491381891082650643
x_2=407091867589071834442548702093425
x_3=304367751468464922947699964182000
x_4=102724116120606911494848737911425
x_5=153401346740106321165640781947728