Techniques for converting carbonate material to carbon monoxide include transferring heat and at least one feed stream that includes a carbonate material and at least one of hydrogen, oxygen, water, or a hydrocarbon, into an integrated calcination and syngas production system that includes a syngas generating calciner (SGC) reactor; calcining the carbonate material to produce a carbon dioxide product and a solid oxide product; initiating a syngas production reaction; producing, from the syngas production reaction, at least one syngas product that includes at least one of a carbon monoxide product, a water product or a hydrogen product; and transferring at least one of the solid oxide product or the at least one syngas product out of the SGC reactor.