
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 natural number \( N \) greater than 20 is a palindrome in both base 14 and base 20 (a palindrome is a number that reads the same forward and backward, such as \( 12321 \) and \( 3443 \), but \( 12331 \) is not a palindrome). What is the smallest value of \( N \) (expressed in base 10)?

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