Let $t \in \mathbb{Q}[x]/( x^2 - 3 )$ be a root of the irreducible polynomial $x^2 - 3 \in \mathbb{Q}[x]$. Express each of the following elements in the form $u + wt$ with $u, w \in \mathbb{Q}$. The correct answers may involve fractions.

(a) $t^5$: $+$ $t$

(b) $( 2 - t )( 1 + 2t )$: $+$ $t$

(c) $( 1 + 2t )^2$: $+$ $t$

(d) $1/( 2 - t )$: $+$ $t$