These threads always get so confusing, for a new shooter. For the benefit of the new shooter, it should have ended after the good posting of Kilo Charlie.
The question was answered, so buy the bullet weight of your choice, probably 150 if it is primarily for moose, or 130 if it is primarily for deer, but either will do.
Forget completely about what your rifle "likes." Your Remington 700 should shoot either weight completely satisfactorily. Just get the cartridge brand and bullet weight of your choice, and sight it in.
To stop all further confusion for the new shooter, this is as far as he needs to read on this posting.
For you people who insist on finding out what bullet weight your rifle "likes," I have a suggestion. Get the rifle tuned and bedded.
I have done this many times. When you get a rifle, carefully fire five shots, one after the other, with the best rest you can get and using a hunting type scope. If your group is good for a hunting rifle, say on the order of 1¼ inches at a hundred yards, it will likely shoot all standard weight bullets well.
If the group is strung out, say the last shot is maybe 4 inches, or more, from the first, the barrel has too much pressure on it, at some point.
Rifles with plastic stocks may be different. I can't stand the sight of them, so have never fired one. What I am saying here, may not apply to plastic stocked rifles, I wouldn't know.
The well bedded rifle may still shoot a bit different point of impact with different bullet weights, but any normal weight should shoot a good group. If you are lucky, you will have one like my 30-06 Swede. After some careful bedding, it will make the five shot 1 to 1¼ inch group at 100 yards, with a mixed array of 165 and 180 grain bullets!