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I'm doing an important project on Mars.

Where did Mars live?

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The first cult centre for Mars in Rome was the Altar of Mars on the Campus Martius, or Field of Mars. The other main temple of Mars lay outside the city boundary, built to fufill a vow made during the war against the Gauls. This link lists the main Roman temples of Mars.
Hope this helps.

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They lived on Mount Olympus.

From answer linked.

[205] O magne Olympi rector et mundi arbiter,
Jam statue tandem gravibus aerumnis modum

O mighty ruler of Olympus, judge of all the world,
set now at length a limit to our crushing cares, an end to our disasters.

That was from a play, in which it states that Olympus is where all of the Roman gods lived.

So Mars lived on Mount Olympus.

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