
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
Without a nut (from the nest to the nut grove) a squirrel runs at a speed of 4 m/s, and with a nut (from the nut grove to the nest) - at a speed of 2 m/s. For the path from the nest to the nut grove and back, it spends 54 seconds. Find the distance from the nest to the nut grove.

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