
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
The sum of eight numbers equals \( \frac{4}{3} \). It turns out that the sum of any seven out of these eight numbers is positive. What is the smallest integer value that the smallest of these numbers can take?

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