I had some free time today (just trying to avoid studying) so I decided to dismantle my laptop (due to heating problems).
With some help from my roommate (a lot more experienced than me in that area) I finally found the screw that stopped me the last few times and opened it.
Everything was fine until I settled my eyes on the fan. But first to explain - the fan gets fresh air from beneath it and blows it through a radiator. The radiator itself is connected with a heat pipe to the processor, graphics card and some other stuff. So back to the story - I'm seeing the radiator and the fan and between them I see a "block" of dirt - it was like a chocolate bar - thick and shaped like a rectangle. (Sadly enough I was so excited that I forgot to take pictures).
So after an hour of cleaning and few attempts of assembling it (one of the times nearly until the end until I saw the fan standing outside), we tried it.
The temperatures before the cleaning:
65-85 depending on the usage and access to fresh air (being on a couch for example)
65-80 depending on the usage and access to fresh air
No thermometer, but generally quite hot.
After the cleaning:
40-55 The fan doesn't even start, but when it does start it could drop it to 39 (previously a number I could only dream for)
~55; After I watch a movie I could say more.
mild to warm
I'm having ~20 degrees drop in temperatures.
That's amazing. It was undreamed of.
Update: pictures of the dirt in the radiators: