Fetching details from the dictionary...

remainder; remnant; rest; balance; surplus; remains (of a meal); leftovers
(not) very; (not) much
too much; excessively; overly
extreme; great; severe; tremendous; terrible
not very good; so-so; mediocre
more than; over
あまり遅くならないでね。
Don't be too late.
この映画はあまり面白くない。
This movie isn't very interesting.
あまり食べすぎないでね。
Don't eat too much, okay?