An amendment marathon is designed to put Republican lawmakers on the record regarding potential Medicaid cuts and other politically sensitive issues.

Before adopting Republicans’ budget resolution, senators engaged in an all-night parliamentary marathon that Democrats used to try to force the G.O.P. into politically damaging votes.

Senators kept chugging through an all-night budget “vote-a-rama,” a crucial, if dreaded, step toward unleashing a $340 billion package President Donald Trump's team says it needs for mass deportations and security measures that top the Republican agenda.