
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 from $1$ to $150$. He marks out $1$, skips the next number ($2$), marks out $3$, and continues this pattern of skipping one and marking out the next, to the end of the list. He then returns to the beginning, marks out the first remaining number ($2$), skips the next two numbers, marks out the next one, and continues this new pattern of skipping two and marking out one to the end. Josh repeats this process, each time increasing the number of skips by one more than the last round. What is the last number remaining?

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