
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 biologist wants to estimate the number of frogs in a pond. On April 1, she catches a random sample of 100 frogs, tags them, and releases them back into the pond. On August 1, she catches another random sample of 90 frogs and discovers that 5 of them are tagged. To estimate the number of frogs in the pond on April 1, she assumes that 30% of these frogs have left the pond by August 1 (due to predation or migration), and that 35% of the frogs in the August sample were not present in April (due to new births or migration into the pond). What does the biologist estimate for the number of frogs in the pond on April 1?

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