Q: Does "drive" have the same meaning in the following two sentences?

You drive nails into wood with a hammer.

Their debts finally drove them to sell the business.

A: different meanings

Q: Does "work" have the same meaning in the following two sentences?

He could not work the math problem.

This unpleasant situation isn't going to work itself out.

A: the same meaning

Q: Does "nomination" have the same meaning in the following two sentences?

The Republican nomination for Governor.

His nomination was hotly protested.

A:
different meanings