
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
At the Mountain School, Micchell is assigned a *submissiveness rating* of  $3.0$  or  $4.0$  for each class he takes. His *college potential* is then defined as the average of his submissiveness ratings over all classes taken. After taking 40 classes, Micchell has a college potential of  $3.975$ . Unfortunately, he needs a college potential of at least  $3.995$  to get into the [South Harmon Institute of Technology](http://en.wikipedia.org/wiki/Accepted#Plot).    Otherwise, he becomes a rock. Assuming he receives a submissiveness rating of  $4.0$  in every class he takes from now on, how many more classes does he need to take in order to get into the South Harmon Institute of Technology?

*Victor Wang*

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