
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
Consider a 3x3 grid (similar to before, but now includes an additional point on both axes), where the points go from (0,0) to (0,15), (15,0) to (15,15), in increments of 5 units each on both x and y axes. How many rectangles can be formed where each of their vertices is a point on this grid?

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