
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
Two numbers were first multiplied, and then the greater number was divided by the lesser, ultimately yielding equal results. What are these numbers? How many such pairs of numbers exist?

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