
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
Given three non-collinear points A, B, and C, and a point O outside plane ABC, if point P determined by the vector $$\overrightarrow {OP}= \frac {1}{5} \overrightarrow {OA}+ \frac {2}{3} \overrightarrow {OB}+λ \overrightarrow {OC}$$ is coplanar with A, B, and C, then λ equals ______.

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