
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
There are nine cards, each with the numbers $2, 3, 4, 5, 6, 7, 8, 9, 10$. Four people, A, B, C, and D, each draw two of these cards.

Person A says: "The two numbers I drew are relatively prime because they are consecutive."
Person B says: "The two numbers I drew are not relatively prime and are not multiples of each other."
Person C says: "The two numbers I drew are both composite numbers and they are relatively prime."
Person D says: "The two numbers I drew are in a multiple relationship and they are not relatively prime."

Assuming all four people are telling the truth, what is the number on the remaining card? $\quad \quad$

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