Treatment of Relapsed and/or Chemotherapy Refractory Advanced Malignancies by CART133

I. Determine the safety and feasibility of the chimeric antigen receptor T cells transduced with the anti-CD133 (cluster of differentiation antigen 133 ) vector (referred to as CART-133 cells). II. Determine duration of in vivo survival of CART-133 cells. RT-PCR (reverse transcription polymerase chain reaction) analysis of whole blood will be used to detect and quantify survival of CART-133 TCR (T-cell receptor) zeta:CD137 and TCR zeta cells over time. SECONDARY OBJECTIVES: I. For patients with detectable disease, measure anti-tumor response due to CART-133 cell infusions. II. To determine if the CD137 transgene is superior to the TCR zeta only transgene as measured by the relative engraftment levels of CART-133 TCR zeta:CD137 and TCR zeta cells over time. III. Estimate relative trafficking of CART-133 cells to tumor in bone marrow and lymph nodes. IV. For patients with stored or accessible tumor cells determine tumor cell killing by CART-133 cells in vitro. V. Determine if cellular or humoral host immunity develops against the murine anti-CD133, and assess correlation with loss of detectable CART-133 (loss of engraftment). VI. Determine the relative subsets of CART-133 T cells (Tcm, Tem, and Treg).