
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 Nine Chapters on the Mathematical Art" is a famous ancient Chinese mathematical masterpiece. In Chapter Seven, "Surplus and Shortage," there is a problem translated as follows: "A group of people jointly buy sheep. If each person contributes $5, there will be a surplus of $45; if each person contributes $7, there will be a shortage of $3. How many people are in the partnership and what is the price of each sheep?" The number of people in the partnership in this problem is ______.

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