$\lim_{x\to1}\frac{\left(x^5\:-\:x^4\:+\:x^3\:-\:x^2\:+\:x\:-\:1\right)}{x\:-\:1}$

$-22r\:-31$

$\lim_{x\to0}\left(\frac{\left(1+h\right)^8+\left(1+h\right)^3-2}{h}\right)$

$16m^3p^2-100$

$\tan b+\frac{\cos b}{1+\sin b}=\sec b$

$3y^2+6y+4y+8$

$\frac{d}{dx}\left(ax^3-bx^2-cx\right)$