
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
John told Mary his score on a mathematics competition that consists of $25$ multiple-choice questions. His score was over $70$. The scoring system awards $5$ points for each correct answer and deducts $2$ points for each wrong answer, with no penalty for unanswered questions. Mary was able to determine the exact number of problems John solved correctly from his score. If John's score had been any lower, but still over $70$, Mary could not have determined this. What was John's score?

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