
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 that point M is a point on line segment AB, and point P is any point, $\overrightarrow {PM} = \frac {3}{5} \overrightarrow {PA} + \frac {2}{5} \overrightarrow {PB}$. If $\overrightarrow {AM} = \lambda \overrightarrow {MB}$, then $\lambda$ equals \_\_\_\_\_\_.

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