
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 \(a_{1}, a_{2}, a_{3}, a_{4}\) be four rational numbers such that \(\{a_{i} a_{j} \mid 1 \leq i < j \leq 4\}=\{-24,-2,-\frac{3}{2},-\frac{1}{8}, 1,3\}\). Find the value of \(a_{1}+a_{2}+a_{3}+a_{4}\).

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