Interesting partition Map with missing HD space I have the latest generation Macbook Pro running Yosemite, I bought this computer used I don't know if the last person attempted to install linux or what the story is but I believe my partition map is a little weird.  

Here it is First off I expected to have only a disk0 I don't know what the disk1 is.  I expected the drive name "Apple_CoreStorage" to be called "Apple_HFS Macintosh HD" like it is on disk1 both of these disks also say that they are 320GB in size although my HD is only 500GB. 

There are also 2 recovery drives but when I boot into recovery mode it says that it is loading it from the internet.  I don't know if that is how it works or if it is not recognizing either of these.  

My Final problem is with disk0s5  There are 180GB that I cannot access it is partitioned as disk0s5 I can remove the partition but then it is just mapped as free space.  I try to increase the size of my "Macintosh HD" after removing the 180GB partition but I am not able to.  

I feel like both of these problems are deeply intertwined, maybe my map is fine I am unsure but it doesn't look right to me.  Any ideas would be appreciated thank you.
Disk1 is a "virtual device" which resides in disk0s2 (the Apple_CoreStorage Volume Group which actually contains a FileVault volume). You have only one 'physical device' indeed.

Disk0s5 is probably an old Bootcamp installation.

The clean way (get rid of the 2 Recovery HDs):


Make a complete Time Machine backup of Macintosh HD.
Start to Internet Recovery Mode by pressing  alt cmd R 
Start  Terminal and enter following command at the Terminal prompt:
diskutil cs list. The output will look like this:

CoreStorage logical volume groups (1 found)
|
+-- Logical Volume Group 5B8350BF-20EF-4199-82E6-129EFF19E9EB
    =========================================================
    Name:         Macintosh HD
    Status:       Online
    Size:         319640592384 B (319.4 GB)
    Free Space:   6111232 B (6.1 MB)
    |
    +-&lt; Physical Volume 907FCDE2-0C62-4951-A39E-36F19244FDB7
    |   ----------------------------------------------------
    |   Index:    0
    |   Disk:     disk0s2
    |   Status:   Online
    |   Size:     319640592384 B (319.4 GB)
    |
    +-&gt; Logical Volume Family 2FA7892F-xxxx-xxxx-xxxx-xxxxxxxxxxxx
        ----------------------------------------------------------
        Encryption Status:       Unlocked
        Encryption Type:         None
        Conversion Status:       NoConversion
        Conversion Direction:    -none-
        Has Encrypted Extents:   No
        Fully Secure:            No
        Passphrase Required:     No
        |
        +-&gt; Logical Volume 7BF42B7B-xxxx-xxxx-xxxx-xxxxxxxxxxxx
            ---------------------------------------------------
            Disk:                  disk1
            Status:                Online
            Size (Total):          319282155520 B (319.0 GB)
            Conversion Progress:   -none-
            Revertible:            No
            LV Name:               Macintosh HD
            Volume Name:           Macintosh HD
            Content Hint:          Apple_HFS

Copy the Logical Volume Group (LVG) alphanumeric UUID of your CoreStorage volume. The LVG should be the first UUID listed and it’s the one you want to delete.
Next, run the following command:
diskutil cs delete UUID
In the above example: diskutil cs delete 5B8350BF-20EF-4199-82E6-129EFF19E9EB
This will delete your CoreStorage volume and reformat it as an unencrypted HFS+ volume.
Quit Terminal
In the now opening window choose Disk Utility and erase/partition the internal drive. 

  

Choose your physical device in the left pane enter a name and format it Mac OS Extended (Journaled). If this isn't possible partition your physical device: 1 Partition Mac OS Extended (Journaled) click the Options... button and choose GUID Partition Table enter OK and Apply. Quit Disk Utility.  
Plug in your Time Machine backup drive.  
Start Restore from Time Machine Backup and recover your old system




The dirty and risky way (no Time Machine backup):


Turn off File Vault 2. This may take several hours.
Use Boot Camp Assistant to remove the Windows installation. If this doesn't work continue with a reboot:
Start to Internet Recovery Mode by pressing  alt cmd R 
In the now opening window choose Disk Utility
Remove disk0s5 by choosing it and clicking on -


Try also to remove Recovery HD
Try to expand Macintosh HD to full size


If the last two steps don't work give me a comment