
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 to wait for the train at 8:00 AM. When boarding the train, the hour and minute hands of the clock on the platform were exactly symmetrical left and right. The train departed at 8:35 AM and arrived at the terminal station at 2:15 PM. When Professor Wang stepped off the train, the hour and minute hands of the clock on the platform were exactly symmetrical up and down, and it was exactly 3:00 PM when he walked out of the station. How many minutes in total did Professor Wang spend on the train?

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