# functional programming – Simplifying the following mathematical expression using a computer?

I have this following beastly expression typed up very nicely in LaTeX formatting, as you can see. What is the easiest way that I can get a computer to simplify this expression for me? I have zero programming experience. I installed sagemath but it seems pretty complicated.

\$W_{(1,1)}(t,v)=frac{-t^{-2k}v^k}{3}(frac{v^{frac{3}{2}}-v^{frac{-3}{2}}}{t^{frac{3}{2}}-t^{frac{-3}{2}}})(frac{v^{frac{1}{2}}-v^{frac{-1}{2}}}{t^{frac{1}{2}}-t^{frac{-1}{2}}})+frac{t^{-2k}v^k}{4}(frac{v-v^{-1}}{t-t^{-1}})^2+frac{t^{-2k}v^k}{12}(frac{v^{frac{1}{2}}-v^{frac{-1}{2}}}{t^{frac{1}{2}}-t^{frac{-1}{2}}})-frac{t^{-k}v^k}{4}(frac{v^2-v^{-2}}{t^2-t^{-2}}) + frac{t^{-k}v^k}{8}(frac{v-v^{-1}}{t-t^{-1}})^2+frac{t^{-k}v^k}{4}(frac{v-v^{-1}}{t-t^{-1}})(frac{v^{frac{1}{2}}-v^{frac{-1}{2}}}{t^{frac{1}{2}}-t^{frac{-1}{2}}})^2-frac{t^{-k}v^k}{8}(frac{v^{frac{1}{2}}-v^{frac{-1}{2}}}{t^{frac{1}{2}}-t^{frac{-1}{2}}})^4+frac{-v^kt^{k}}{4}(frac{v^2-v^{-2}}{t^2-t^{-2}})+frac{v^kt^{k}}{3}(frac{v^{frac{3}{2}}-v^{frac{-3}{2}}}{t^{frac{3}{2}}-t^{frac{-3}{2}}})(frac{v^{frac{1}{2}}-v^{frac{-1}{2}}}{t^{frac{1}{2}}-t^{frac{-1}{2}}})+frac{v^kt^{k}}{8}(frac{v-v^{-1}}{t-t^{-1}})^2-frac{v^kt^{k}}{4}(frac{v-v^{-1}}{t-t^{-1}})(frac{v^{frac{1}{2}}-v^{frac{-1}{2}}}{t^{frac{1}{2}}-t^{frac{-1}{2}}})^2+frac{v^kt^{k}}{24}(frac{v^{frac{1}{2}}-v^{frac{-1}{2}}}{t^{frac{1}{2}}-t^{frac{-1}{2}}})^4\$