I found this, it may help, but sounds like you will be using up plenty of elbow gease
Removing adhesives from carpeting can be a time consuming job as it must be worked out of the carpet fibers. There are plenty of products available to aid in the process, but the larger the area that’s affected, the longer it’s going to take. There are no shortcuts with this clean-up job, but the results will be well worth the effort.
You Will Need:
Cleaning Product (choose one)
GooGone (available at Walmart or other department and home improvement stores)
Lighter fluid
De-Solv-It (available at Walmart with the furniture polishes)
Rubbing alcohol
Soft cloths
Mild soap
Water
Bucket
Rubber gloves
Vacuum
Steps to Remove the Residue:
Begin by choosing the desired cleaning product. If the first one doesn’t work, feel free to try a second. You may find that one works better for the particular type of tape residue found on your particular type of carpet, so feel free to experiment.
It is best to work in small lengths along the strip of residue.
Apply a small amount of cleaner to a section of the residue. Try to keep your section less than 12 inches.
Wearing rubber gloves, gently rub the fibers of the carpet to work in the cleaner and loosen the residue.
Gently rub the fibers with the soft cloth to remove the residue. Continue working with clean areas of the cloth until all of the residue is gone.
Move onto the next section and repeat the process above.
When the entire area of residue is removed, the next step is to remove the cleaning product.
Wash the area with a mild soap and water mixture. Moisten a soft cloth and gently wipe the area until all of the cleaner is gone.
Allow the area to dry completely.
When the entire area is dry, vacuum to restore the fibers to their normal texture.
Additional Tips and Ideas
When using products designed to break down adhesives, ensure that you only moisten the tops of the fibers. If the product soaks into the carpet backing, it will dissolve the glue that holds the carpet together and cause a much bigger problem.