
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
In a certain year, the price of a stock increased by $10\%$ during January, fell by $30\%$ during February, rose by $15\%$ during March, increased by $20\%$ during April, and fell by $x\%$ during May. Given that the price of the stock at the end of May was the same as it was at the beginning of January, calculate the value of $x$.

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