
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
In a certain school, there are 100 students in the second year of high school who are excellent in at least one of the three subjects: mathematics, physics, or chemistry. Among them, 70 students are excellent in mathematics, 65 in physics, and 75 in chemistry. There are 40 students who are excellent in both mathematics and physics, 45 in both mathematics and chemistry, and 25 students who are excellent in all three subjects. How many students are excellent in both physics and chemistry but not in mathematics?

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