
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
Given there are black pieces and white pieces in a box, if one black piece is taken out, the remaining ratio of black pieces to white pieces is 9:7, and if the black piece is put back and a white piece is taken out instead, the remaining ratio of black pieces to white pieces is 7:5, calculate the difference between the number of black pieces and white pieces originally in the box.

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