$$5-3 \times [2 \times (4-1)-3 \times (-1-5)-8/4-2]$$
$-55$
$$5-3\left(2\times 3-3\left(-1-5\right)-\frac{8}{4}-2\right)$$
$$5-3\left(6-3\left(-1-5\right)-\frac{8}{4}-2\right)$$
$$5-3\left(6-3\left(-6\right)-\frac{8}{4}-2\right)$$
$$5-3\left(6-\left(-18\right)-\frac{8}{4}-2\right)$$
$$5-3\left(6+18-\frac{8}{4}-2\right)$$
$$5-3\left(24-\frac{8}{4}-2\right)$$
$$5-3\left(24-2-2\right)$$
$$5-3\left(22-2\right)$$
$$5-3\times 20$$
$$5-60$$
$$-55$$
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