To understand the complexity of human cognition, it is important to account for how the various cognitive functions play off of one another during a complex cognitive task. This "cognitive choreography" was investigated previously in an attempt to tie cognitive functions to regional brain activity. The task used was a complex mental algebra task involving the combined use of various cognitive functions: problem representation, mental manipulation, memory retrieval, maintenance, and goal changing, as well as multiple modalities for input (auditory and visual) and output (manual and verbal). We present a faithful replication of this study's behavioral results (accuracy and latency), and discuss implications for cognitive functions in complex tasks.