various
many
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a lot of
a good deal, a lot, a good deal of, plenty
This word is a bit more formal and usually used to reference abstract things. The more common equivalent that also has broader scope is 许多.
他 面临 诸多 困难。
He faces a lot of difficulties.
她 有 诸多 责任。
She has a lot of responsibilities.
我们 需要 解决 诸多 问题。
We need to solve a lot of problems.