
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  $a$ ,  $b$ ,  $c$ ,  $d$ ,  $e$  be positive reals satisfying \begin{align*} a + b &= c  a + b + c &= d  a + b + c + d &= e.\end{align*} If  $c=5$ , compute  $a+b+c+d+e$ .

*Proposed by Evan Chen*

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