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# Computer algebra systems

Computer algebra systems are computer programs that not only perform numeric computations but are also capable of symbolic computations. They can be given inputs like ${\displaystyle x+x+{\sqrt {x}}}$ and respond with alternate forms like ${\displaystyle 2x+{\sqrt {x}}}$ or ${\displaystyle (2{\sqrt {x}}+1){\sqrt {x}}}$, find the root (in this example, ${\displaystyle x=0}$), compute derivatives, indefinite integrals, global minimums, series representations, differential geometric curves, etc. And of course they can also handle explicit inputs like ${\displaystyle 4+{\sqrt {2}}}$.