
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
The clock shows 00:00, and the hour and minute hands coincide. Considering this coincidence as number 0, determine the time (in minutes) until they coincide for the 21st time. Round your answer to hundredths.

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