
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 one of the numbers $2, 3, 4, 5, 6, 7, 8, 9, 10$ written on it (without using the same number twice). Four people, A, B, C, and D, each draw two cards.

A says: "The two numbers I got are coprime because they are consecutive."
B says: "The two numbers I got are neither coprime nor multiples of each other."
C says: "The two numbers I got are both composite but coprime."
D says: "The two numbers I got are multiples of each other and not coprime."

If all four people are telling the truth, what number is on the remaining card?

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