
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
Anna participated in a mathematics competition with 50 multiple-choice questions. She told Bob her score, which was over 100. From this information alone, Bob was able to determine the number of problems Anna solved correctly. If Anna's score had been any lower but still over 100, Bob could not have determined this. The scoring system is such that each participant starts with 50 points, gains 5 points for each correct answer, and loses 2 points for each wrong answer. Unanswered questions do not affect the score. Determine Anna’s score.

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