{ "sites": [ "wolfram alpha" ], "task_id": "Wolfram Alpha--39", "require_login": false, "storage_state": null, "start_url": "https://www.wolframalpha.com/", "geolocation": null, "intent": "Use Wolfram alpha to write the expression of the ellipse x^2 + 3 y^2 = 4 rotated 33 degrees counterclockwise.", "require_reset": false, "eval": { "eval_types": [ "string_match" ], "reference_answers": { "fuzzy_match": "x^2(\\sin(\frac{2\u03c0}{15}) - 2) + 2xy \\cos(\frac{2\u03c0}{15}) + 4 = y^2(2 + \\sin(\frac{2\u03c0}{15}))" } } }