
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 modified version of the American High School Mathematics Examination (AHSME), the exam consists of 35 multiple-choice questions. A student's score, \( s \), is calculated with the formula \( s = 35 + 5c - 2w \), where \( c \) is the number of correct answers and \( w \) is the number of wrong answers (no penalties for unanswered questions). Paul mentioned his score to Linda, which was over 90. From this information alone, Linda was able to determine exactly how many problems Paul solved correctly. If Paul's score had been any lower, but still above 90, Linda could not have determined this. What was Paul's score?

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