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Symbolic computing is one of fastest growing areas of scientific computing. An overview of the state-of-the-art in symbolic computations on distributed architectures, in particular Web and Grid architectures, is presented. The background information, including typical application areas, is followed by a list of past and on-going projects involving symbolic computations on distributed computing environments. To illustrate in more details issues involved in porting computer algebra systems to the Grid, some case studies involving popular environments are presented.