$x$ Corporation began the year with an accumulated E&P of $$12,000$ and two individual shareholders: A and $B.$ A and B each owned $100$ shares of stock and had a basis of $$10$ per share. On March $15$ X Corporation distributed $$5,000$ cash to each of A and B$.$ On July $31$ B sold all $100$ of B$\text{'}$s shares to individual D for $$100,000($ $$1,000$ per share$).$ On October $31,x$ distributed $$5,000$ cash to A and a property with a fair market value of $$7,000$ and an adjusted basis of $$3,000,$ and subject to a liability of $$2,000$ to $D.$ These were the only transactions made during the year.

a$.$ What income, gain or loss, if any, does $D$ recognize as a result of the October $31$ distribution?

b$.$ What is D$\text{'}$s adjusted basis in the property received from X on October $31?$

c$.$ What income, gain or loss, does A recognize?

d$.$ What is $x^{\text{'}}E$&$P$ at the beginning of the following year?