
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 a three-digit number, knowing that the number of its tens is the geometric mean of the hundreds and units digits. If the hundreds and units digits are swapped and the new number is subtracted from the original number, the difference will be 297.

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