
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
Max and Lily are both students in Mr. Algebra's math class. Last night, they each solved half of the problems in their homework assignment alone and then solved the other half together. Max had correct answers to only $70\%$ of the problems he solved alone, but overall $82\%$ of his answers were correct. Lily had correct answers to $85\%$ of the problems she solved alone. What was Lily's overall percentage of correct answers?
A) 85%
B) 88%
C) 89.5%
D) 90%
E) 92%

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