
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 $20$-quart radiator is initially filled with water. Five quarts are removed and replaced with pure antifreeze liquid. Then, in three consecutive steps, five quarts of the mixture are removed each time and replaced with pure antifreeze. Finally, five quarts of antifreeze are removed and replaced with water. The fractional part of the final mixture that is water is to be determined.
A) $\frac{1}{4}$
B) $\frac{81}{256}$
C) $\frac{27}{64}$
D) $\frac{3}{4}$
E) $\frac{175}{256}$

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