
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
There is an exam with 7 questions, each asking about the answers to these 7 questions, and the answers can only be 1, 2, 3, or 4. The questions are as follows:
1. How many questions have the answer 4?
2. How many questions have an answer that is neither 2 nor 3?
3. What is the average of the answers to questions (5) and (6)?
4. What is the difference between the answers to questions (1) and (2)?
5. What is the sum of the answers to questions (1) and (7)?
6. Which question is the first to have the answer 2?
7. How many different answers are given by only one question?

What is the sum of the answers to all 7 questions?

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