
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
For the sequences of positive integers \(\{a_n\}: a_n = 3n + 2\) and \(\{b_n\}: b_n = 5n + 3\), where \(n \in \mathbf{N}\), determine the number of common terms within the set \(M = \{1, 2, \ldots, 2018\}\).

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