# ineqmath / 78 - taskset: [ineqmath](https://harnessreport.com/tasks/ineqmath.md) - difficulty: difficult - category: math reasoning - language: - runnable from the site: no - agent timeout: 3600s ## 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. Task description: Please solve the problem with clear, rigorous, and logically sound steps. At the end of your response, state your answer in exactly this format: 'The answer is (Letter) Symbol', where Letter is one of the given options. Example: 'The answer is (A) $\leq$'. Problem: Let $a, b, c$ be non-negative numbers such that $ab + ac + bc \neq 0$. Consider the following inequality: $$ a^3 + b^3 + c^3 + 2abc + \frac{4a^2b^2c^2}{a^3 + b^3 + c^3 + abc} \quad () \quad \sum_{\text{cyc}}(2a^2b + 3a^2c) . $$ Determine the correct inequality relation to fill in the blank. Options: (A) $\leq$ (B) $\geq$ (C) $=$ (D) $<$ (E) $>$ (F) None of the above Solution: ``` --- 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