
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
Given Alice took 80% of a whole pie. Bob took one fourth of the remainder. Cindy then took half of what remained after Alice and Bob. What portion of the whole pie was left?

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