
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
On the board, a certain two-digit number is written. Neznaika claimed that it is divisible by $3, 4, 5, 9, 10, 15, 18, 30$. Znayka, upon hearing this, told Neznaika that he was mistaken exactly 4 times. What number could have been written on the board? List all possible options.

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