
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
If the sequence $\{a\_n\}$ is an arithmetic sequence, $a\_3$ and $a\_{10}$ are the two roots of the equation $x^2-3x-5=0$, then $a\_5+a\_8=$ \_\_\_\_\_\_.

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