
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
An $A M C$ exam has a total of 30 questions. The scoring rules are as follows: 5 points for a correct answer, 0 points for an incorrect answer, and 2 points for an unanswered question. A contestant's total score is the sum of the points for each question. Assuming there are enough contestants, how many different possible total scores can be achieved?

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