
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
Bill buys a stock that decreases by $10\%$ on the first day, increases by $50\%$ of its value at the end of the first day on the second day, and then decreases by $20\%$ on the third day. What is the overall percent change in Bill's stock over the three days?

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