
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
Let x be the current number of pigeons in the pigeon house. If 75 pigeons are sold, then the pigeon feed can last for 20 days, and if 100 more pigeons are bought, then the feed can last for 15 days. Calculate the value of x.

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