
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
Let $m$ be a positive integer. For two positive integers $a$ and $b$, if $a-b=km$ ($k\in \mathbb{Z}$, $k\neq 0$), we say that $a$ is congruent to $b$ modulo $m$, denoted as $a=b \pmod{m}$. In the equation $6=b \pmod{m}$, when $\frac{b}{m} \in \mathbb{N}$ and $m>1$, the possible values of $b$ are __________.

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