
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 gallon of paint is needed to paint a room. On the first day, half of the paint is used. On the second day, one-fourth of the remaining paint is used. Calculate the fraction of the original amount of paint that is available to use on the third day.

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