<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 There are less than \( 4Q \) students in a class. In a mathematics test, \(\frac{1}{3}\) of the students got grade A, \(\frac{1}{7}\) of the students got grade B, half of the students got grade C, and the rest failed. Given that \( R \) students failed in the mathematics test, find the value of \( R \). Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
1
There are less than \( 4Q \) students in a class. In a mathematics test, \(\frac{1}{3}\) of the students got grade A, \(\frac{1}{7}\) of the students got grade B, half of the students got grade C, and the rest failed. Given that \( R \) students failed in the mathematics test, find the value of \( R \).
test