-bash-3.2# sw_vers
ProductName:    Mac OS X
ProductVersion: 10.10.5
BuildVersion:   14F27

diskutil umountDisk /dev/disk0
gpt remove -i 4 /dev/disk0
diskutil umountDisk /dev/disk0
gpt remove -i 5 /dev/disk0

gpt remove -i 3 /dev/disk0
gpt remove -i 2 /dev/disk0
gpt add -b 409640 -i 2 -s 118430560 -t 53746F72-6167-11AA-AA11-00306543ECAC /dev/disk0
diskutil cs list

diskutil list
diskutil umountDisk /dev/diskX #check for a disk identifier of a volume with the size ~60 GB and replace X with the number of that disk (it may be 2, 3 or ~13)
diskutil umountDisk /dev/disk0
gpt add -b 118840200 -i 3 -s 1269536 -t 426F6F74-0000-11AA-AA11-00306543ECAC /dev/disk0
diskutil verifyDisk /dev/disk0
diskutil verifyVolume /dev/disk0s2

diskutil list
/dev/disk0
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:      GUID_partition_scheme                        *121.3 GB   disk0
   1:                        EFI EFI                     209.7 MB   disk0s1
   2:          Apple_CoreStorage                          60.6 GB   disk0s2
   3:                 Apple_Boot Boot OS X               134.2 MB   disk0s3
/dev/disk1 Base OS X System
....
/dev/disk2 #this may also have another disk identifier like disk13 or disk3
 #:                       TYPE NAME                      SIZE       IDENTIFIER
 0:                  Apple_HFS Macintosh HD               60.0 GB    disk2
/dev/disk3-disk12 or 13 a lot of small sized disks (512 kb - 8 MB) which are part of the Recovery System

gpt -r show disk0
     start        size  index  contents
         0           1         PMBR
         1           1         Pri GPT header
         2          32         Pri GPT table
        34           6
        40      409600      1  GPT part - C12A7328-F81F-11D2-BA4B-00A0C93EC93B
    409640   118430560      2  GPT part - 53746F72-6167-11AA-AA11-00306543ECAC
 118840200     1269536      3  GPT part - 426F6F74-0000-11AA-AA11-00306543ECAC
 120109736   116868407
 236978143          32         Sec GPT table
 236978175           1         Sec GPT header

diskutil cs resizeStack lvUUID 0g

diskutil cs resizeStack 10F16........ 0g

diskutil cs unlockVolume lvUUID

diskutil cs unlockVolume 10F16........

diskutil umountDisk /dev/disk0
gpt remove -i 2 /dev/disk0
gpt add -b 409640 -i 2 -s 118430560 -t 48465300-0000-11AA-AA11-00306543ECAC /dev/disk0
diskutil umountDisk /dev/disk0
gpt add -b 118840200 -i 3 -s 1269536 -t 426F6F74-0000-11AA-AA11-00306543ECAC /dev/disk0
diskutil verifyDisk /dev/disk0
diskutil verifyVolume /dev/disk0s2