
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 $2$, $7$, $\ldots$ and $6$, $15$, $\ldots$ be two arithmetic progressions. The set $T$ is the union of the first $1003$ terms of each sequence. How many distinct numbers are in $T$?
A) 1885
B) 1895
C) 1905
D) 1915

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