
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
For breakfast, Carlson ate 40% of the cake, and Little Man ate 150 g. For lunch, Freken Bok ate 30% of the remaining cake and an additional 120 g, and Matilda licked up the remaining 90 g of cake crumbs. What was the original mass of the cake?

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