$$g'\left(w\right)=\frac{4}{9w^4}+5\sqrt{w}$$

$$-54m^2n-36mn^2-8n^3$$

$$2y''\:+\:6y'-176y\:=\:0$$

$$\frac{\sin\left(x\right)}{\cos\left(x\right)+1}+\frac{\sin\left(x\right)}{\cos\left(x\right)-1}=2\cot\left(x\right)$$

$$-4x^3+x^3+x^3-6y^3+y^3+4y^3-3$$

$$2a-3b+\left(\left(m-n\right)+2a+3b\right)$$

$$3^{9x}=27^{2x+1}$$