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I think we can also say:I'd prefer study English rather than study math.
Hi, Hussein: Actually, we can't. Your example is ungrammatical. "Prefer" is NEVER followed directly by the base form (bare infinitive) of a verb, though it may be followed by a "to"-infinitive or by a gerund:
(1)I prefer study English. (2) I prefer to study English. (3) I prefer studying English.