
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
 A  $6\text{-year stock}$  that goes up  $30\%$  in the first year, down  $30\%$  in the second, up  $30\%$  in the third, down  $30\%$  in the fourth, up  $30\%$  in the fifth, and down  $30\%$  in the sixth is equivalent to a  $3\text{-year stock}$  that loses  $x\%$  in each of its three years. Compute  $x$ .


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