
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
After the turnip was pulled out, a pile of earth remained. The old man removed half of the pile, the old woman removed a third of the remaining earth, the granddaughter removed a quarter of what was left, the dog removed a fifth of what was left, the cat removed a sixth part, and the mouse removed a seventh part. What fraction of the pile remained?

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