
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
Alice places six ounces of coffee into a twelve-ounce cup and two ounces of coffee plus four ounces of cream into a second twelve-ounce cup. She then pours half the contents from the first cup into the second and, after stirring thoroughly, pours half the liquid in the second cup back into the first. What fraction of the liquid in the first cup is now cream?
A) $\frac{1}{4}$
B) $\frac{4}{15}$
C) $\frac{1}{3}$
D) $\frac{1}{2}$
E) $\frac{1}{5}$

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