For each of the following, form a conclusion that follows logically from the given statements:
a. Some freshmen like mathematics.
All people who like mathematics are intelligent.
b. If I study for the final, then I will pass the final.
If I pass the final, then I will pass the course.
If I pass the course, then I will look for a teaching job.
c. Every equilateral triangle is isosceles.
There exist triangles that are equilateral.
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