
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
Claire's car's odometer reading was 12321, a palindrome. She drove to a location where her car's odometer showed another palindrome. If Claire drove for 4 hours and her speed never exceeded 65 miles per hour, calculate her greatest possible average speed.

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