$$\frac{120\ x^{2}y^{3}z^{3}}{30x^{3}x^{2}}$$
$4\times \left(\frac{yz}{x}\right)^{3}$
$$\frac{120x^{2}y^{3}z^{3}}{30x^{5}}$$
$$\frac{4y^{3}z^{3}}{x^{3}}$$
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$-\frac{12\left(yz\right)^{3}}{x^{4}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{120y^{3}z^{3}}{30x^{2}}x^{2-3})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4y^{3}z^{3}}{x^{2}}\times \frac{1}{x})$$
$$-\frac{4y^{3}z^{3}}{x^{2}}x^{-1-1}$$
$$\left(-\frac{4y^{3}z^{3}}{x^{2}}\right)x^{-2}$$
