
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
In Mrs. Harrison's calculus class, there are 60 students. Of these, 40 students took the first session of the test, achieving an average score of 68%. The next group, 15 students, took the test later and scored an average of 74%. Finally, a group of 5 students, due to special circumstances, took the test under different conditions and scored an average of 88%. Calculate the new class mean.

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