
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
Calculate the value of \( \text{rem}\left(\frac{5}{7}, -\frac{3}{4}\right) \) given the remainder function is defined for all real numbers \( x \) and \( y \) (with \( y \neq 0 \)) as:
\[
\text{rem}(x, y) = x - y \left\lfloor \frac{x}{y} \right\rfloor
\]

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