
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
When dividing a two-digit number by 6, the remainder is the digit in its tens place. When dividing the same number by 10, the quotient is 3, and the remainder is the digit in the units place. Find all such two-digit numbers.

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