"chinese remainder" solves a system of equations over modulus quickly. crtwo is an improvement to Mathematica's release.
crtwo: solves Chinese Remainder a pair at a time, (uses gcd), yet is still fast.
Which means crtwo, unlike text book soln, uses an algorithm to solve or fail one mod equation at a time. showing win or fail of each eqn and solving other sawtooth intersections is possible, due to that.
crAll2@crtwo provides n soln near x for CR using width of soln
crchart3...