P276-00 is a novel, potent, small-molecule, flavone-derived Cdk 4 D1, Cdk1 B, and Cdk9 T inhibitor, with potent cytotoxic effects against chemosensitive and chemoresistant cancer cell lines.This study is planned to compare efficacy of the standard chemotherapy regimen of gemcitabine and carboplatin when administered with or without P276-00 in subjects with advanced triple negative breast cancer.