
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 $U$ be the set of the $3000$ smallest positive multiples of $8$, and let $V$ be the set of the $3000$ smallest positive multiples of $12$. How many elements are common to $U$ and $V$?
A) 1000
B) 2000
C) 3000
D) 4000

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