Symbolic Manipulation Program, usually called SMP, was a computer algebra system designed by Chris A. Cole and Stephen Wolfram at Caltech circa 1979. It was initially developed in the Caltech physics department with contributions from Geoffrey C. Fox, Jeffrey M. Greif, Eric D. Mjolsness, Larry J. Romans, Timothy Shaw, and Anthony E. Terrano.

SMP was first sold commercially in 1981, by the Computer Mathematics Corporation of Los Angeles, which later became part of Inference Corporation. Inference further developed the program and marketed it commercially from 1983 to 1988, but it was not a commercial success, and Inference became pessimistic about the market for symbolic math programs, and so abandoned SMP to concentrate on expert systems.

SMP was influenced by the earlier computer algebra systems Macsyma (of which Wolfram was a user) and Schoonschip (whose code Wolfram studied).

SMP follows a rule-based approach, giving it a "consistent, pattern-directed language". Unlike Macsyma and Reduce, it was written in C.

During the 1980s, it was one of the generally available general-purpose computer algebra systems, along with Reduce, Macsyma, and Scratchpad, and later muMATH and Maple. It was often used for teaching college calculus.

The design of SMP's interactive language and its "map" commands influenced the design of the 1984 version of Scratchpad.