
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 $S$ be the set of the $1500$ smallest positive multiples of $5$, and let $T$ be the set of the $1500$ smallest positive multiples of $10$. How many elements are common to $S$ and $T$?
A) 500
B) 625
C) 750
D) 875
E) 1000

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