
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
In a $15 \times 15$ grid composed of unit squares, create squares with vertices at the grid points and integer side lengths. How many squares have side lengths greater than 5?

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