$\lim_{x\to\infty}\:-1^{2x+1}$
$\frac{x}{\left(1+x^4\right)^2}$
$\frac{dy}{dm}=1+y^2-m-my^2$
$\frac{-3x^4+6x^4-12x^2}{3x^2}$
$\tan\left(x\right)+\cot\left(x\right)=\frac{\cos\left(x\right)}{\cos\left(x\right)}$
$2x^7+5x^2$
$\left(15x+1\right)\left(15x-20\right)$
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