
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
After a long day of maintenance and repairs, Lora notes that the odometer on her car reads $2332$, a palindrome. Over the next two days, she drives $3$ hours one day and $5$ hours the next, noting that the odometer reads another palindrome, $2772$. Calculate her average speed during this period.

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