\textbf{105-} If $\tan\!\left(\dfrac{\alpha}{2}\right) = \dfrac{1}{4}$, what is the value of $\dfrac{\tan(\alpha) - \sin(\alpha)}{\sin(\alpha) - \cos(\alpha)}$?
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(1) $-\dfrac{91}{105}$ \hfill (2) $-\dfrac{19}{105}$ \hfill (3) $\dfrac{16}{105}$ \hfill (4) $\dfrac{91}{105}$
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