$\frac{a-x}{\left(a+x\right)\left(a-x\right)^2}$
$\frac{d}{dx}\left(x+7\right)^3\left(7x-2\right)^5$
$\frac{1-\text{tg}^2a}{1+\text{tg}^2a}=1-2\text{sen}^2a$
$-9+2x+13+7x-10-12x$
$\csc\left(2x\right)=\:\frac{\sec\left(x\right)}{2\sin\left(x\right)}$
$4a^2-12a+16$
$\frac{\tan\left(x\right)^2-\sin\left(x\right)^2}{\cot\left(x\right)^2-\cos\left(x\right)^2}$
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