
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
Several students from a certain district participated in a math competition. Each student's score is an integer, and the total score is 8250. The scores of the top three students are 88, 85, and 80, respectively, and the lowest score is 30. No more than 3 students received the same score. What is the minimum number of students who scored at least 60 points (including the top three students)?

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