So the hints (I looked because I was knee deep in algebra and didn't know what to do) said that you take (k1 - 1)...(k4 - 1) = 175 and write it as it's factors. 1, 5, 5, 7. The numbers that k1 could hence be is 12. These numbers are 8,-6,6,-4,2,0,26,-24,36,-34,176,-174.
It then said that via the k1k2k3k4 = 576, k1 could only be factors of 1,2 AND 3. This was said to eliminate 5 values, but it doesn't. The values it eliminates are 0,8,-4,26,34,2,176.
Am I reading something wrong, am I not seeing something?