Practice problem
Find the largest integer xxx such that x2+1x^2+1x2+1 divides x3+x−1000x^3+x-1000x3+x−1000.
Source: Lexington Math Tournament
1≤x≤101 \le x \le 101≤x≤10
11≤x≤2011 \le x \le 2011≤x≤20
21≤x≤3021 \le x \le 3021≤x≤30
31≤x≤4031 \le x \le 4031≤x≤40
41≤x≤5041 \le x \le 5041≤x≤50
Type a concept, like “slope” or “photosynthesis”.