On a no-multilib machine I have arrived on a circular argument:
==============================================================
# emerge -uaDv world

These are the packages that would be merged, in order:

Calculating dependencies... done!

390_32(-)?,abi_s390_64(-)?]".
!!! One of the following packages is required to complete your request:
- dev-qt/qtcore-4.8.6-r2::gentoo (Change USE: +qt3support)
- dev-qt/qtgui-4.8.6-r4::gentoo (Change USE: -qt3support)
(dependency required by "dev-qt/qtgui-4.8.6-r4::gentoo" [ebuild])
(dependency required by "app-text/poppler-0.32.0::gentoo[qt4]" [installed])
(dependency required by "media-
plugins/evas_generic_loaders-1.12.0::gentoo[pdf]" [installed])
(dependency required by "@selected" [set])
(dependency required by "@world" [argument])
==============================================================

Fair enough, I add qt3support for dev-qt/qtcore-4.8.6-r2 and remove it for 
dev-qt/qtgui-4.8.6-r4, then rinse and repeat:
==============================================================
# emerge -uaDv world

These are the packages that would be merged, in order:

Calculating dependencies... done!

emerge: there are no ebuilds built with USE flags to satisfy "~dev-
qt/qtcore-4.8.6[aqua=,debug=,glib=,qt3support=,abi_x86_32(-)?,abi_x86_64(-)?,abi_x86_x32(-)?,abi_mips_n32(-)?,abi_mips_n64(-)?,abi_mips_o32(-)?,abi_ppc_32(-)?,abi_ppc_64(-)?,abi_s390_32(-)?,abi_s390_64(-)?]".
!!! One of the following packages is required to complete your request:
- dev-qt/qtcore-4.8.6-r2::gentoo (Change USE: -qt3support)
- dev-qt/qtgui-4.8.6-r4::gentoo (Change USE: +qt3support)
(dependency required by "dev-qt/qtgui-4.8.6-r4::gentoo" [ebuild])
(dependency required by "app-crypt/pinentry-0.9.0::gentoo[qt4]" [installed])
(dependency required by "app-crypt/gnupg-2.0.26-r3::gentoo" [installed])
(dependency required by "dev-vcs/git-2.3.6::gentoo[gpg]" [installed])
(dependency required by "app-portage/layman-2.0.0-r3::gentoo[git]" 
[installed])
(dependency required by "@selected" [set])
(dependency required by "@world" [argument])
==============================================================

I don't want to bore you, but you can guess that if I were to reverse these 
USE settings I will arrive at the previous message.  How to proceed from here?

-- 
Regards,
Mick

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