Shear Moment Diagram Help Please

[Beeftimer]

https://www.facebook.com/photo.php?fbid=10151464507101158&set=a.186111086157.128872.647836157&type=1&;theater

Please refer to the link above.

I'm having a little bit of trouble figuring this one out.

First of all, I made four cuts: one before the downward force of 500N, one after that force but before the 750N/m (the professor labeled q1 and q2 with the wrong units) distributed load, one in between the 750N/m distributed and one in between the linearly distributed load. Are these the correct cuts to make?

Assuming those are the correct cuts (and please let me know if they aren't) for the first section my equations are V(x)=5820+500x-(25/3)x^2 and M(x)=5820x+250x^2-(25/9)x^3. Is this correct?

And finally (and most importantly since this is the most confusing to me) how do I handle the problem for the second portion (30m

[vascop]

Which question are you trying to answer? Is it (b)? Also are the vertical arrows part of the structure?