
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 the function definition for any non-zero real numbers \(x\) and \(y\):
\[
\text{rem}(x, y) = x - y \left\lfloor \frac{x}{y} \right\rfloor
\]
where \(\left\lfloor \cdot \right\rfloor\) denotes the greatest integer less than or equal to the enclosed value, determine the value of \(\text{rem}\left(\tfrac{7}{10}, -\tfrac{3}{4}\right)\).
A) -\(\frac{1}{20}\)  
B) \(\frac{7}{15}\)  
C) \(\frac{14}{15}\)  
D) \(\frac{17}{20}\)

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