The Buccaneers were forced to make the cuts to come within NFL roster limits. The Bucs are expected to sign rookie free agents on Tuesday, which will count against their roster load. Their 10 draft picks will not count against that total until they sign contracts.
The 10-year veteran had served as the nickel back for the Bucs the past two seasons, amassing three interceptions. He caught one last year, while also finishing with 74 tackles, 13 passes defensed and one sack. Bolden signed a five-year contract before the 2006 season.
Adams never started a regular-season game for the Bucs, but emerged last season as its best special teams performer, with 19 tackles and a forced fumble. Adams is entering his fourth NFL season.
Withdrawing the tender offer means Adams is free to sign with any NFL team.