
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 plane in three-dimensional space is uniquely determined by three non-collinear points. What is the maximum possible number of planes that can be determined by 15 points in space, provided no four points are coplanar?

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