
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 type of insecticide powder weighs 40 kg with a potency of 15%. Now, it is to be mixed with 50 kg of the same type of insecticide powder with a higher potency to achieve a mixture with a potency between 25% and 30% (excluding 25% and 30%). The range of potency for the powder used must be within.

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