How hard have you looked? You'd be hard pressed to find a computer alebgra system (CAS) that doesn't support algebraic reduction. It's been available for decade

How hard have you looked? You'd be hard pressed to find a computer alebgra system (CAS) that doesn't support algebraic reduction. It's been available for decades at this point. Popular systems offering this can do this include Mathematica, Maple and Sage. Even MATLAB had extensions for symbolic manipulation now.