We introduceMAmmoTH, a series of open-source large language models (LLMs)  specifically tailored for general math problem-solving. TheMAmmoTHmodels are trained onMathInstruct, our meticulously curated instruction tuning dataset.MathInstructis compiled from 13 math datasets with intermediate rationales, six of which have rationales newly curated by us. It presents a unique hybrid of chain-of-thought (CoT)  and program-of-thought (PoT)  rationales, and also ensures extensive coverage of diverse fields in math. The hybrid of CoT and PoT not only unleashes the potential of tool use but also allows different thought processes for different math problems. As a result, theMAmmoTHseries substantially outperform existing open-source models on nine mathematical reasoning datasets across all scales with an average accuracy gain between 16% and 32%. Remarkably, ourMAmmoTH-7B model reaches 33% on MATH (a competition-level dataset) , which exceeds the best open-source 7B model (WizardMath)  by 23%, and theMAmmoTH-34B model achieves 44% accuracy on MATH, even surpassing GPT-4’s CoT result. Our work underscores the importance of diverse problem coverage and the use of hybrid rationales in developing superior math generalist models.