Have you ever seen yourself in a scenario where you are not able to solve a mathematical problem?
The Acharya (teacher) may tell you the steps, technique for solving the problem. The steps may look simple for they are steps and may be applicable in solving one type of problem but then many of the problems can go wrong with the steps. Then the bhava is inculcated by the Guru whereby certain ways are shown that allows you solve more queries and allowing you gain deeper understanding of the mathematical situation.
But the true passion allows one to seek the essence not to solve the problem but to understand Mathematics in true essence then the passion brings you to one with whom you feel in awe for he shows the path. The one who shows the path is the Satguru the knower who does not solve the problem rather eliminates the root cause of the problem itself.
In all the three cases the person who is midst of problem should know what he actually seeks and from whom he seeks.
Satguru can be a Guru and a Acharya but a Acharya may or may not be a Guru but he can never be a Satguru. Similarly a Guru can be a Acharya but may or may not be a Satguru.
Know what you seek for seeking from wrong directions with wrong or misunderstood intentions creates a rustle within breaking the seeker and hurting the one who is bestower of knowledge. Wisdom is gained with self efforts and perservance. Know for a fact that only one in a million donot seek such a guide but are that ONE.
A dead saint can be your ego booster but not one to solve your problems so know the truth for only he sends you a living saint, know him, realize him, accept him.