
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
Roma decided to create his own multiplication table. The rows correspond to the numbers \( 12, 13, 14, \ldots, 60 \) and the columns to the numbers \( 15, 16, 17, \ldots, 40 \). In the cells of the table, he wrote the products of the pairs of row and column numbers. How many of these products will be even numbers?

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