
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
Professor Wang arrived at the station at 8:00 AM to wait for his train. When he boarded the train, the hour and minute hands on the station clock were exactly symmetrical to each other. The train departed at 8:35 AM and arrived at the final station at 2:15 PM. When Professor Wang got off the train, the hour and minute hands on the station clock were exactly vertically symmetrical to each other. He exited the station exactly at 3:00 PM. How many minutes did Professor Wang spend on the train in total?

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