
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
There are 140 different cards on the table with the numbers $4, 8, 12, \ldots, 556, 560$ (each card has exactly one number, and each number appears exactly once). In how many ways can 3 cards be selected so that the sum of the numbers on the selected cards is divisible by 3?

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