$$[(\frac{1}{3})^{-1}-(\frac{1}{4})^{-1}]^{-1}$$
$-1$
$$\left(3-\left(\frac{1}{4}\right)^{-1}\right)^{-1}$$
$$\left(3-4\right)^{-1}$$
$$\left(-1\right)^{-1}$$
$$-1$$
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