A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject. A 4-column table with 3 rows. The first column has no label with entries likes algebra, does not like algebra, total. The second column is labeled likes geometry with entries a, c, 53. The third column is labeled does not like geometry with entries b, 6, e. The fourth column is labeled total with entries 45, d, 75.

What are the correct values of a, b, c, d, and e?