
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 product marked up by 10% twice in a row and then by 5% is represented by the expression $1.1^2 \cdot 1.05p$, where p is the original price of the product. To find the minimum percentage that this product must be marked down by to return to its original price, determine the value of x in the expression $1.1^2 \cdot 1.05 \cdot \left(1 - \frac{x}{100}\right) = p$.

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