
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 another competition, Kimberly told her friend Lucas her score, which was exactly 100. With this, Lucas was able to determine the number of problems Kimberly solved correctly. If Kimberly's score had been any lower, but still over 95, Lucas would not have been able to determine this. What was Kimberly's score? Recall that this competition consists of 25 multiple choice problems and that one's score, \( s \), is computed by the formula \( s = 25 + 5c - w \), where \(c\) is the number of correct answers and \(w\) is the number of wrong answers. (Students are not penalized for problems left unanswered.)

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