Solve $$\frac{3}{x+2}=\frac{5}{4}$$

Solve $$x^{x^5}=5$$

Solve $$x^{x^5}-100=0$$

Solve $$\sqrt{3x-5}+\sqrt{x-1}=2$$

Find the value of $$\frac{x^5+8}{x+1}$$ given $$x^2+x=1$$

Find the value of $$4mn-m^3-n^3$$ given $$\{\begin{array}{l}{m}^2=n+2\\ n^2=m+2\end{array}$$, $$m\ne n$$

Solve $$\{\begin{array}{l}5x-2y+9z=-7\\ -2x+y-4z=5\\ 3x-10y-8z=0\end{array}$$

Find the value of $$x+y$$ given $$\{\begin{array}{l}x\sqrt{y}+y\sqrt{x}=182\\ x\sqrt{x}+y\sqrt{y}=183\end{array}$$

Simplify $${\left(\frac{9}{4}\right)}^{\frac{9}{4}}$$

Multiply $$\frac{8}{20}\cdot \frac{15}{12}$$