
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]


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In a space, any three out of five points are not collinear. If only four triangular pyramids can be constructed with these five points as vertices, then the maximum number of planes that can be determined by these five points is __.

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