
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
The ancient Chinese mathematical classic "Jiuzhang Suanshu" presents a sampling problem: "There are a certain number of people in the northern village, 7,488 people in the western village, and 6,912 people in the southern village. In total, from these three villages, 300 people are conscripted for labor, with 108 people coming from the northern village. How many people are there in the northern village?"

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