
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
At Ignus School there are  $425$  students. Of these students  $351$  study mathematics,  $71$  study Latin, and  $203$  study chemistry. There are  $199$  students who study more than one of these subjects, and  $8$  students who do not study any of these subjects. Find the number of students who study all three of these subjects.

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