<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 At a certain pond, 1/3 of the goose eggs laid hatched, and then 4/5 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year due to natural causes, while 1/4 migrated to another pond. The remaining geese survived their first year but then faced a predator event, in which only 2/3 made it through unscathed. If 140 geese ultimately survived these challenges, and no more than one goose hatched from each egg, how many goose eggs were laid at the pond? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
1050
At a certain pond, 1/3 of the goose eggs laid hatched, and then 4/5 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year due to natural causes, while 1/4 migrated to another pond. The remaining geese survived their first year but then faced a predator event, in which only 2/3 made it through unscathed. If 140 geese ultimately survived these challenges, and no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
test