If ${\left(\frac{4}{5}a-2\right)}^3=\frac{64}{125}{a}^3-k-\frac{96}{25}{a}^2+\frac{48}{5}a$, find the value of $k$.

If $8a^3+27b^3+36a^{2}b+54a{b}^2={\left(ka+mb\right)}^3$, find the value of $k+m$.

If $64a^3-27b^3-144a^{2}b+108a{b}^2={\left(ka-3b\right)}^m$, then find the value of $\left(k+m\right)$

If $1+\frac{27}{125}{a}^3+\frac{9a}{5}+\frac{27}{25}{a}^2={\left(1+ka\right)}^3$, find the value of $k$. (write the answer in fraction form)

If $125x^3-27y^3-225x^{2}y+135x{y}^2={\left(kx-my\right)}^3$, find the value of $k+m$.

If $a^3{x}^3-3a^{2}b{x}^2+3a{b}^{2}x-b^3={\left(kx+m\right)}^3$, find $k+m$.

If $\frac{64}{125}{a}^3-\frac{96}{25}{a}^2+\frac{48}{5}a-8={\left(ka-2\right)}^3$, find the value of $k$. (write the answer in fraction form)

If $a^3-12a\left(a-4\right)-64={\left(a+k\right)}^3$, find the value of $k$.

${\left(103\right)}^3=$?