H.R.5882: To recapture employment-based immigrant visas lost to bureaucratic delays and to prevent losses of family- and employment-based immigrant visas in the future.

Amends the Immigration and Nationality Act to establish the fiscal year worldwide level of employment-based immigrants at 140,000 plus: (1) the previous year's unused visas; and (2) the number of unused visas from FY1992-FY2007.

Establishes the fiscal year worldwide level of family-sponsored immigrants at 480,000 minus the number of certain aliens not subject to direct numerical limitations plus: (1) the previous year's unused visas; and (2) the number of unused visas from FY1992-FY2007. States that such annual level shall not be less than 226,000.