
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
If the product of two factors is 32.7 and one of the factors is increased to 10 times its original size, calculate the change required for the other factor in order to keep the product unchanged.

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