
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 positive integer sequences \( \{a_n\} : a_n = 3n + 2 \) and \( \{b_n\} : b_n = 5n + 3 \) (where \( n \in \mathbb{N} \)) intersect within the set \( M = \{1, 2, \ldots, 2018\} \). Determine the number of common elements.

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