This phase I trial studies the side effects and best dose of palbociclib when given alone and in combination with sorafenib, decitabine, or dexamethasone in treating patients with leukemia that has come back (recurrent) or that does not respond to previous treatment (refractory). Palbociclib, sorafenib, and decitabine may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Drugs used in chemotherapy, such as dexamethasone, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving palbociclib alone and in combination with sorafenib, decitabine, or dexamethasone may work better in treating patients with recurrent or refractory leukemia.
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Maximum tolerated dose (MTD) as determined by dose limiting toxicity (DLT)
Timeframe: Up to cycle 2 (each cycle is 28 days)