
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 students, A and B, are preparing to play a game of Gomoku. Initially, the box contains a certain number of black and white pieces, each of the same quantity, and the total does not exceed 10. When 20 more pieces (only black and white) are added to the box, the ratio of the total number of white to black pieces is 7:8. Determine the current number of black pieces in the box.

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