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The library must not only provide for the needs of the users, but also the needs of the simplifier. For example, the computation of [[polynomial greatest common divisor]]s is systematically used for the simplification of expressions involving fractions.
This large amount of required computer capabilities explains the small number of general-purpose computer algebra systems. The main ones are [[axiom (computer algebra system)|Axiom]], [[Maxima (software)|Maxima]], [[Magma (computer algebra system)|Magma]], [[Maple (software)|Maple]], [[Mathematica]] and [[SageMath]].
== History ==
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