
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 that Brianna has a total of $m dollars, the cost of each CD is $c dollars, and she wants to buy n CDs, calculate the fraction of her money that she will have left after purchasing half of the desired CDs with one fourth of her money and a music player with one tenth of her money.

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