
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
Given a container of paint is progressively used over three days, with one-fourth of the paint used on the first day, one-half of the remaining paint used on the second day, and one-third of what is then left used on the third day, determine the fraction of the original amount of paint left after the third day.

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