
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 filled with water. Five quarts are removed and replaced with pure antifreeze liquid. Then five quarts of the mixture are removed and replaced with pure antifreeze. This is done a total of five times. What is the fractional part of the final mixture that is water?
A) $\frac{81}{256}$
B) $\frac{243}{1024}$
C) $\frac{27}{64}$
D) $\frac{37}{64}$
E) $\frac{175}{256}$

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