This randomized phase I trial is studying the side effects and best dose of everolimus, gemcitabine hydrochloride, and cisplatin in treating patients with unresectable solid tumors refractory to standard therapy. Drugs used in chemotherapy, such as everolimus, gemcitabine hydrochloride, and cisplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Giving more than one drug (combination chemotherapy) may kill more tumor cells.