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

The government provides support to the arts in several ways.

The president no longer has the support of his own party.

OPTIONS:
- different meanings
- the same meaning

A: the same meaning

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

The set of all rational numbers is a field.

The set of rational numbers, \mathbbQ, is the prototypical field.

OPTIONS:
- different meanings
- the same meaning

A: the same meaning

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

He has just made his first sale.

They had to complete the sale before the banks closed.

OPTIONS:
- different meanings
- the same meaning

A:
the same meaning