Veliparib, Topotecan Hydrochloride, and Filgrastim or Pegfilgrastim in Treating Patients With Persistent or Recurrent Cervical Cancer

This phase II clinical trial is studying the how well veliparib, topotecan hydrochloride, and filgrastim or pegfilgrastim work in treating patients with persistent or recurrent cervical cancer. Veliparib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Drugs used in chemotherapy, such as topotecan hydrochloride, work in different ways to stop the growth of tumor cells, either by killing the cells or by blocking them from dividing. Giving veliparib with chemotherapy may kill more tumor cells. Filgrastim or pegfilgrastim may cause the body to make more blood cells and help it recover from the side effects of chemotherapy.