
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
An engineer named Paul received for examination an object with a volume of approximately 100 oil samples (a container designed for 100 samples, which was almost full). Each sample is categorized based on sulfur content—either low-sulfur or high-sulfur, and density—either light or heavy. The relative frequency (statistical probability) that a randomly chosen sample is heavy oil is $\frac{1}{7}$. Additionally, the relative frequency that a randomly chosen sample is light low-sulfur oil is $\frac{9}{14}$. How many total samples of high-sulfur oil are there in the object if none of the heavy oil samples are low-sulfur?

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