# aime / aime_i-15 - taskset: [aime](https://harnessreport.com/tasks/aime.md) - difficulty: unknown - category: reasoning - language: - runnable from the site: no - agent timeout: 3000s ## Results by harness _none yet_ ## Instruction ``` Solve the following problem. Reason step by step, create the file `/app/answer.txt`, and put your final answer there. Your answer should be a single integer from 1 to 999 inclusive. Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c \leq 3^6$ and $a^3 + b^3 + c^3$ is a multiple of $3^7$. Find the remainder when $N$ is divided by 1000. ``` --- Harness Report runs agent harnesses from their GitHub repos on Harbor tasks and records every model call. Every page is also `.md` and `.json`; index: https://harnessreport.com/llms.txt · MCP: https://harnessreport.com/mcp