
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
Joe has written 5 questions of different difficulties for a test, numbered 1 through 5. He wants to make sure that problem \(i\) is harder than problem \(j\) whenever \(i - j \geq 3\). In how many ways can he order the problems for his test?

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