▁develop ▁computer ▁algebra ▁systems ▁have ▁pushed ▁to ▁increase ▁their ▁pre val ence ▁among ▁university ▁and ▁college ▁programs . ▁ ▁C AS - equ ipped ▁calcul ators ▁are ▁not ▁permitted ▁on ▁the ▁A CT , ▁the ▁PL AN , ▁and ▁in ▁some ▁class rooms ▁though ▁it ▁may ▁be ▁permitted ▁on ▁all ▁of ▁College ▁Board ' s ▁calcul ator - perm itted ▁tests , ▁including ▁the ▁S AT , ▁some ▁S AT ▁Sub ject ▁Test s ▁and ▁the ▁AP ▁Calcul us , ▁Chem istry , ▁Physics , ▁and ▁Statistics ▁ex ams . ▁ ▁Mathemat ics ▁used ▁in ▁computer ▁algebra ▁systems ▁ ▁Kn uth – B end ix ▁completion ▁algorithm ▁ ▁Root - find ing ▁algorithms ▁ ▁Symbol ic ▁integration ▁via ▁e . g . ▁R isch ▁algorithm ▁or ▁R isch – N orm an ▁algorithm ▁ ▁Hyper ge ometric ▁summ ation ▁via ▁e . g . ▁G os per ' s ▁algorithm ▁ ▁Lim it ▁computation ▁via ▁e . g . ▁Gr unt z ' s ▁algorithm ▁ ▁Pol ynomial ▁factor ization ▁via ▁e . g ., ▁over ▁finite ▁fields , ▁Ber lek amp ' s ▁algorithm ▁or ▁Cant or – Z assen haus ▁algorithm . ▁ ▁Great est ▁common ▁divis or ▁via ▁e . g . ▁E uclidean ▁algorithm ▁ ▁Gaussian ▁elim ination ▁ ▁Gr ö b ner ▁basis ▁via ▁e . g . ▁Buch berger ' s ▁algorithm ; ▁general ization ▁of ▁E uclidean ▁algorithm ▁and ▁Gaussian ▁elim ination ▁ ▁Pad é ▁approxim ant ▁ ▁Schw art z – Z ipp el ▁lemma