
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 $T$ be a set of 7 integers taken from $\{2,3,\dots,15\}$ with the property that no element in $T$ is a multiple of any other element in $T$. What is the least possible value of an element in $T$?

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