Try running:
wget http://ftp.us.debian.org/debian/pool/main/b/boost1.55/libboost1.55-all-dev_1.55.0+dfsg-3_armhf.deb
(one line)

dpkg - i libboost1.55-all-dev_1.55.0+dfsg-3_armhf.deb

Then run:
sudo apt-get install gridcoinresearch-qt -y