
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
Jack initially had a bag of $150$ marbles. He sold $20\%$ of them to Jill, then gave away $10\%$ of the remainder to June, afterwards lost $5$ marbles while playing, and finally donated the shiniest marble of those left to his school. Calculate the number of marbles Jack had at the end.

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