
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
A space contains 15 points. What is the maximum number of unique planes that can be determined by these points, assuming no three points are collinear, and not all points are coplanar?

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