
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
Given a $25$-quart radiator is filled with water, and the described process of removing and replacing quarts of the mixture with pure antifreeze is repeated five times, calculate the fractional part of the final mixture that is water.

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