
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
James appeared in a simplified version of the American High School Mathematics Examination (Mini-AHSME) that consists of 20 multiple choice problems. James told Linda his score was over 50. Given this information, Linda was able to determine exactly how many problems James solved correctly. If James's score had been any lower but still over 50, Linda could not have determined this. Determine James’s score using the formula $s = 20 + 3c - w$ for this version of the exam, where $s$ is the score, $c$ is the number of correct answers, and $w$ is the number of wrong answers. (Note: Students are not penalized for unanswered problems.)

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