
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
Derek's history test consisted of 80 questions: 20 on ancient history, 25 on medieval history, and 35 on modern history. Derek scored 60% on ancient history, 56% on medieval history, and 70% on modern history questions. He failed because he got less than 65% of the questions right overall. How many more questions would he have needed to answer correctly to reach a 65% passing grade?

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