
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 used to paint a house. One half of the paint is used on the first day. On the second day, one fourth of the remaining paint is used. Finally, one third of what is left is used on the third day. What fraction of the original amount of paint is available to use on the fourth day?

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