Exercise:
nprvmulticols abclist abc displaystyle fracddddx left fraca x^mb x^n right abc displaystyle fracddddy left fracc y^p + de y^q right abc displaystyle fracddddz left fracz^n + alphabeta z^m + gamma right abc displaystyle fracddddt left fraca t^k + b tt^n + c right abc displaystyle fracddddphi left fraca phi^m + bphi^n + d right abc displaystyle fracddddtheta left fractheta^pa theta^q + b right abc displaystyle fracddddr left fracr^nr^m + a right abc displaystyle fracddddu left fracu^k + c u^ld u^m + right abc displaystyle fracddddv left fraca v^m+ + b vv^n + c right abc displaystyle fracddddalpha left fracalpha^p + alpha^qalpha^r + right abc displaystyle fracdddds left fraca s^n + bc s^m + d^ right abc displaystyle fracddddchi left fraca chi^n + b^c chi^m + d right abclist nprvmulticols

Solution:
abclist abc fracddddx!leftfraca x^mb x^nright fraca m x^m-b x^n - a x^mb n x^n-b x^n^ abc fracddddy!leftfracc y^p + de y^qright fracc p y^p-e y^q - c y^p + de q y^q-e y^q^ abc fracddddz!leftfracz^n + alphabeta z^m + gammaright fracn z^n-beta z^m + gamma - z^n + alphabeta m z^m-beta z^m + gamma^ abc fracddddt!leftfraca t^k + b tt^n + cright fraca k t^k- + bt^n + c - a t^k + b tn t^n-t^n + c^ abc fracddddphi!leftfraca phi^m + bphi^n + dright fraca m phi^m-phi^n + d - a phi^m + bn phi^n-phi^n + d^ abc fracddddtheta!leftfractheta^pa theta^q + bright fracp theta^p-a theta^q + b - theta^pa q theta^q-a theta^q + b^ abc fracddddr!leftfracr^nr^m + aright fracn r^n-r^m + a - r^nm r^m-r^m + a^ abc fracddddu!leftfracu^k + c u^ld u^m + right frack u^k- + c l u^l-d u^m + - u^k + c u^ld m u^m-d u^m + ^ abc fracddddv!leftfraca v^m+ + b vv^n + cright fraca m+ v^m + bv^n + c - a v^m+ + b vn v^n-v^n + c^ abc fracddddalpha!leftfracalpha^p + alpha^qalpha^r + right fracp alpha^p- + q alpha^q-alpha^r + - alpha^p + alpha^qr alpha^r-alpha^r + ^ abc fracdddds!leftfraca s^n + bc s^m + d^right fraca n s^n-biglc s^m + d^bigr - a s^n + b biglc s^m + dc m s^m-bigrbiglc s^m + d^bigr^ abc fracddddchi!leftfraca chi^n + b^c chi^m + dright fracbigla chi^n + ba n chi^n-bigrc chi^m + d - a chi^n + b^c m chi^m-c chi^m + d^ abclist