Unlike brain regions that respond selectively to specific kinds of information content, a number of frontal and parietal regions are thought to be domain-and process-general: that is, active during a wide variety of demanding cognitive tasks. However, most previous evidence for this functional generality in humans comes from methods that overestimate activation overlap across tasks. Here we present functional MRI evidence from single-subject analyses for broad functional generality of a specific set of brain regions: the same sets of voxels are engaged across tasks ranging from arithmetic to storing information in working memory, to inhibiting irrelevant information. These regions have a specific topography, often lying directly adjacent to domain-specific regions. Thus, in addition to domain-specific brain regions tailored to solve particular problems of longstanding importance to our species, the human brain also contains a set of functionally general regions that plausibly endow us with the cognitive flexibility necessary to solve novel problems.Multiple-demand system | cognitive control A striking feature of the human brain is that it contains cortical regions specialized for particular mental tasks, from perceiving visual motion, to recognizing faces, understanding language, and thinking about others' thoughts (e.g., refs. 1 and 2). However, an equally striking feature of human cognition is our ability to solve novel problems on the fly for which we cannot have ready-made, specialized brain machinery. We innovate on recipes when a key ingredient is missing, we think through the possible causes-and possible solutions-when our car breaks down on the highway, and we invent white lies on the spot in awkward social situations. How are we so cognitively versatile and innovative, and what brain regions endow us with the ability to solve new problems that neither our evolutionary history nor our individual experience has specifically prepared us for?Based on previous neuroimaging data, a plausible neural substrate for cognitive flexibility is provided by a specific set of frontal and parietal brain regions the activity of which does not appear to be closely tied to specific cognitive demands. Instead, activity in these regions increases for a wide range of complex behaviors (e.g