
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 certain number was written on the board, multiplied by 7, and the last digit of the resulting product was erased. The resulting number was then multiplied by 9, and the last digit of this new product was erased as well, resulting in the final number 8. What could the original numbers have been?

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