
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
A woman upon leaving home at $5:00$ p.m. notices that the angle between the hour and minute hands of her watch is $120^\circ$. Upon returning at a time before $6:00$ p.m., she sees that the angle is again $120^\circ$. What is the total number of minutes she was away from home?

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