
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 initially filled with water undergoes a process where $5$ quarts are removed and replaced with pure antifreeze liquid. This operation is repeated four times in total. Find the fractional part of the final mixture that is still water.
A) $\frac{1}{4}$
B) $\frac{81}{256}$
C) $\frac{27}{64}$
D) $\frac{37}{64}$
E) $\frac{175}{256}$

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