
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 least positive integer with exactly 2310 distinct positive divisors can be written in the form $m \cdot 10^k$, where $m$ and $k$ are integers, and $10$ is not a divisor of $m$. What is $m+k?$
A) 8
B) 10
C) 30
D) 44

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