
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
Josh writes the numbers $1,2,3,\dots,149,150$. He marks out $1$, skips the next two numbers $(2, 3)$, marks out $4$, and continues skipping two and marking out the next number to the end of the list. Then he goes back to the start of his list, marks out the first remaining number after $1$, skips two numbers, marks out the next, and so on to the end. What is the last number that remains?

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