
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
Find the digit that has the property that if it is added to the end of any given natural number, the resulting number will be equal to the sum of three terms: the original number, the digit itself, and the product of the original number and the digit.

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