
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 positive integer is chosen. The digit 5 is appended to the right of this number, and the square of the chosen number is subtracted from the new number. The result is divided by the chosen number, then the chosen number is subtracted, and the final result is 1. What number was chosen?

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