<|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 25 students in the orchestra, 40 in the band, 30 in the choir, and 15 in the jazz ensemble. Some students participate in more than one group. 5 students are in both the orchestra and the band, 6 students are in both the orchestra and the choir, 4 students are in both the band and the choir, and 3 students are in both the band and the jazz ensemble. Additionally, 2 students are in both the orchestra and the jazz ensemble, and 4 students are in both the choir and the jazz ensemble. There are also 3 students who participate in the orchestra, the band, and the choir, and 1 student who participates in all four groups.

Considering the overlapping membership between the groups, how many unique students are there in the orchestra, the band, the choir, and the jazz ensemble? 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
90
There are 25 students in the orchestra, 40 in the band, 30 in the choir, and 15 in the jazz ensemble. Some students participate in more than one group. 5 students are in both the orchestra and the band, 6 students are in both the orchestra and the choir, 4 students are in both the band and the choir, and 3 students are in both the band and the jazz ensemble. Additionally, 2 students are in both the orchestra and the jazz ensemble, and 4 students are in both the choir and the jazz ensemble. There are also 3 students who participate in the orchestra, the band, and the choir, and 1 student who participates in all four groups.

Considering the overlapping membership between the groups, how many unique students are there in the orchestra, the band, the choir, and the jazz ensemble?
test