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| {"question_id": "2022-P1-Q1A", "marks": 3, "question_text": "Differentiate x^3 + 2x", "final_answer": {"symbolic": "d/dx(x^3 + 2x) = 3x^2 + 2", "numeric": null}, "constraints": [], "method_tags": ["auto-inferred"], "worked_steps": [{"text": "d/dx(x^3 + 2x) = 3x^2 + 2", "expressions": []}], "marking_points": [{"id": "MP1", "text": "Reaches valid conclusion", "confidence": 0.45}], "answer_forms": {"exact_allowed": true, "decimal_allowed": true, "sf_rules": "Question specific"}, "common_equivalences": [], "confidence": {"overall": 0.45, "per_mp": {"MP1": 0.45}}, "verified": false, "verification_notes": ["CAS verification failed: Sympify of expression 'could not parse 'd/dx(x^3 + 2x)'' failed, because of exception being raised:\nSyntaxError: invalid syntax. Perhaps you forgot a comma? (<string>, line 1)", "Lowered confidence because tool checks failed.", "LLM extraction raw output: Extract final answer and short worked steps as JSON with keys final_answer, method_tags, worked_steps, marking_points fr"]} | |
| {"question_id": "2022-P1-Q1B", "marks": 4, "question_text": "Show that x^2 - 5x + 6 = 0 has two roots.", "final_answer": {"symbolic": "x^2 - 5x + 6 = (x-2)(x-3), hence roots are x=2,3", "numeric": null}, "constraints": [], "method_tags": ["auto-inferred"], "worked_steps": [{"text": "x^2 - 5x + 6 = (x-2)(x-3), hence roots are x=2,3", "expressions": []}], "marking_points": [{"id": "MP1", "text": "Reaches valid conclusion", "confidence": 0.45}], "answer_forms": {"exact_allowed": true, "decimal_allowed": true, "sf_rules": "Question specific"}, "common_equivalences": [], "confidence": {"overall": 0.45, "per_mp": {"MP1": 0.45}}, "verified": false, "verification_notes": ["CAS verification failed: Sympify of expression 'could not parse 'x^2 - 5x + 6'' failed, because of exception being raised:\nSyntaxError: invalid syntax (<string>, line 1)", "Lowered confidence because tool checks failed.", "LLM extraction raw output: Extract final answer and short worked steps as JSON with keys final_answer, method_tags, worked_steps, marking_points fr"]} | |