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All answers having "Races" as clue:

4 Character Answers:

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REVS



5 Character Answers:

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DRAGS

TEARS

TROTS

ZOOMS



6 Character Answers:

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DASHES

RELAYS

SPEEDS



7 Character Answers:

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DERBIES

GALLOPS

PEOPLES

SPRINTS



8 Character Answers:

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HOTFOOTS