
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
Two-thirds in addition (to the unknown), one-third in subtraction, 10 remains (i.e., two-thirds of the unknown are added to it, and one-third of the resulting sum is subtracted. The remainder is equal to 10).

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