
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
Let  $x$ ,  $y$ , and  $z$  be real numbers such that  $x+y+z=20$  and  $x+2y+3z=16$ . What is the value of  $x+3y+5z$ ?

*Proposed by James Lin*

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