
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
Barney Schwinn notices that his bicycle's odometer reads $2332$ after riding for a while. He rides for $5$ hours more that day and an additional $7$ hours the next day. At the end of this, he finds the odometer showing another palindrome, $2772$. Calculate Barney's average speed in miles per hour.

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