
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
Cheburashka and Gena ate a cake. Cheburashka ate twice as slow as Gena, but he started eating one minute earlier. In the end, they ate an equal amount of cake. How long would it take for Cheburashka to eat the entire cake by himself?

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