mlfoundations-dev/numina_math_1_5_extra_r1

该数据集包含了数学问题及其解答，主要涉及三角形及其边长度的变换。数据集中的问题要求构造一个新三角形，其边长等于原三角形的半周长减去每条边长。数据集旨在探索哪些原始三角形可以无限次地重复这一过程。数据集提供了一个样本问题及其解答，表明只有等边三角形具有这一特性。数据集还包括了问题的类型、问题的有效性等信息。

This dataset contains mathematical word problems and their solutions, focusing on triangle side length transformations. The problems require constructing a new triangle with sides equal to the semiperimeter of the original triangle minus each side length. The dataset explores which original triangles can repeatedly undergo this transformation without violating the triangle inequality. A sample problem and its solution provided indicate that only equilateral triangles have the property of indefinite transformation. The dataset also includes metadata such as problem type and the validity of the problem and solution.