I heard the Messenger of Allah ﷺ say: ʿDeeds are but by intentions and each man will have but that which he intended. If a man's migration was for the sake of Allah, then his migration was for that for which he migrated, but if his migration was to achieve some worldly aim or to take some woman in marriage, his migration was for that for which he migrated.ʿ (Using translation from Aḥmad 168)   

سَمِعْتُ رَسُولَ اللهِ ﷺ يَقُولُ إِنَّمَا الْأَعْمَالُ بِالنِّيَّاتِ وَإِنَّمَا لِامْرِئٍ مَا نَوَى فَمَنْ كَانَتْ هِجْرَتُهُ إِلَى اللهِ وَرَسُولِهِ فَهِجْرَتُهُ إِلَى اللهِ وَرَسُولِهِ وَمَنْ كَانَتْ هِجْرَتُهُ لِدُنْيَا يُصِيبُهَا أَوِ امْرَأَةٍ يَتَزَوَّجُهَا فَهِجْرَتُهُ إِلَى مَا هَاجَرَ إِلَيْهِ  

[Machine] He ﷺ said: "Verily, actions are judged by intentions."  

أَنَّهُ قَالَ أَيُّهَا النَّاسُ إِنَّمَا الْأَعْمَالُ بِالنِّيَّاتِ  

The Messenger of Allah ﷺ said: The prayer of a person who does not perform ablution is not valid, and the ablution of a person who does not mention the name of Allah (in the beginning) is not valid. (Using translation from Abū Dāʾūd 101)   

قَالَ رَسُولُ اللهِ ﷺ لَا صَلَاةَ لِمَنْ لَا وُضُوءَ لَهُ وَلَا وُضُوءَ لِمَنْ لَمْ يَذْكُرِ اسْمَ اللهِ عَلَيْهِ  

This tradition means that if a person performs ablution and takes a bath but does not have the intention to perform ablution for prayer and purify himself from sexual defilement, his ablution or bath is not valid. (Using translation from Abū Dāʾūd 102)   

أَنَّ تَفْسِيرَ حَدِيثِ رَسُولِ اللهِ ﷺ لَا وُضُوءَ لِمَنْ لَمْ يَذْكُرِ اسْمَ اللهِ عَلَيْهِ أَنَّهُ الَّذِي يَتَوَضَّأُ وَيَغْتَسِلُ وَلَا يَنْوِي وُضُوءًا لِلصَّلَاةِ وَلَا غُسْلًا لِلْجَنَابَةِ