
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
Suppose Mary participated in a similar mathematics competition with 35 multiple-choice questions. She scored above 90, and from this, John was able to determine the number of problems she solved correctly. If Mary's score had been any lower, but still over 90, John could not have determined this. The scoring rule for this competition is $s = 35 + 5c - 2w$. What was Mary’s score?

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