complex, purplexing, difficult, tough, cumbersomely, strenuously
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Challenging, Coarse, Complex, Complicated, Confusing, Convoluted, Courageous are words that are related in meaning/synonyms for the word hard.
A complex math problem is one that is hard to solve.
Yes, the noun hard (a firm or paved solid beach for hauling boats out of the water) is a common noun.The word hard is more commonly an adjective, a word that describes a noun or an adverb, a word that modifies a verb or an adjective. Example uses:Adjective: There were some hard questions on that test.Adverb: The rain had frozen hard on the steps overnight.
Synonyms for complicated include: difficult, intricate, complex, perplexing, and problematic.
hard