
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A conservationist wants to estimate the number of turtles in a pond. On June 1, she captures, tags, and releases 50 turtles. On October 1, she captures a random sample of 80 turtles and finds that 4 of them are tagged. To estimate the number of turtles in the pond on June 1, she assumes that 20% of these turtles have left the pond by October 1 (because of migration), and that 30% of the turtles were not in the pond on June 1 (because of new hatchlings). Assuming the number of untagged and tagged turtles in the October sample represents well the total population, what is her estimated number of turtles in the pond on June 1?

Present the answer in LaTex format: \boxed{Your answer}
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