
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
The sum of two natural numbers is 2014. If the last two digits of one of the numbers are crossed out and the resulting number is multiplied by three, the result is six more than the other number. Find these numbers. Enter the smallest of them in the provided field.

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