flock of geese is swimming on a peaceful lake when a noisy motorcycle drives past causing 2/5 of the geese to fly away. A little later, a small herd of deer run past and cause 1/3 of the remaining geese to fly off. Then when a loud siren sounds another 24 geese leave the lake. If 47 geese remain, how many geese were there in the flock at the start?
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418 geese were there in the flock
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