Q: Sentence (1) Offer prayers to the gods.
Sentence (2) He offered his opinion.. Word: offer.
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A: different meanings

Q: Sentence (1) Mr. Jones will assume the position of a lifeguard until a proper replacement is found.
Sentence (2) The queen assumed the stately robes.. Word: assume.
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A: different meanings

Q: Sentence (1) He tried to crystallize his thoughts.
Sentence (2) My ideas crystallized overnight.. Word: crystallize.
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A:
the same meaning