A color value prediction system includes a color-value predicting section configured to receive an input of information representing ink amounts of a first apparatus and output spectral reflectance, a receiving section configured to receive an input of information representing a designated color gamut, a preparing section configured to prepare first teacher information representing a plurality of sets of combinations of ink amounts of the first apparatus and second teacher information, which is a plurality of sets of spectral reflectance respectively associated with the plurality of sets of combinations of ink amounts of the first teacher information, and a generating section configured to generate the color-value predicting section with machine learning in which the first teacher information serving as an input value and the second teacher information serving as an output value are used as teacher data. The first teacher information includes designated teacher information representing a combination of ink amounts of the first apparatus representing a color included in the designated color gamut.