
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 $2$; $5$; $\ldots$ and $6$; $12$; $\ldots$ be two arithmetic progressions. Set $T$ is the union of the first $1001$ terms from each sequence. How many distinct numbers are in $T$?
A) 2001
B) 2002
C) 2003
D) 2010

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