
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
Given two sequences, each containing 150 numbers:  
2, 4, 6, 8, 10, 12, …, 2•(150-1)+2;  
3, 6, 9, 12, 15, 18, …, 3•(150-1)+3.  
The number of integers that belong to both sequences is     .

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