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All answers having "Supposed" as clue:

5 Character Answers:

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MEANT

WISER



6 Character Answers:

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OPINED



7 Character Answers:

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ALLEGED

ASSUMED

GUESSED

REPUTED



8 Character Answers:

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IMAGINED

PRESUMED

PUTATIVE

RECKONED

SOCALLED



12 Character Answers:

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HYPOTHETICAL