{"answer": "46", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-22-1-2-8826b2009b40", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=22 m/s", "a=1 m/s2", "t=2 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 22 m/s and accelerates at 1 m/s2 for 2 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 22·2 + 0.5·1·22 = 46.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 46.0, "got": 46.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "46.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "88.5", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-25-3-3-35ee75c40c70", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=25 m/s", "a=3 m/s2", "t=3 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 25 m/s and accelerates at 3 m/s2 for 3 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 25·3 + 0.5·3·32 = 88.5.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 88.5, "got": 88.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "88.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "112", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-9-2-7-5a9509816764", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=9 m/s", "a=2 m/s2", "t=7 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 9 m/s and accelerates at 2 m/s2 for 7 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 9·7 + 0.5·2·72 = 112.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 112.0, "got": 112.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "112.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "-14", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-5-2-7-c527a01dffff", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.0, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=5 m/s", "a=-2 m/s2", "t=7 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 5 m/s and accelerates at -2 m/s2 for 7 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 5·7 + 0.5·-2·72 = -14.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": -14.0, "got": -14.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "-14.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "132", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-19-1-6-278377b86fb1", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=19 m/s", "a=1 m/s2", "t=6 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 19 m/s and accelerates at 1 m/s2 for 6 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 19·6 + 0.5·1·62 = 132.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 132.0, "got": 132.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "132.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "32", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-15-1-2-51e8b479d10e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=15 m/s", "a=1 m/s2", "t=2 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 15 m/s and accelerates at 1 m/s2 for 2 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 15·2 + 0.5·1·22 = 32.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 32.0, "got": 32.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "32.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "21", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-4-2-3-69a5f855c0be", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=4 m/s", "a=2 m/s2", "t=3 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 4 m/s and accelerates at 2 m/s2 for 3 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 4·3 + 0.5·2·32 = 21.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 21.0, "got": 21.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "21.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "34", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-18-1-2-aa2080a99e98", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=18 m/s", "a=-1 m/s2", "t=2 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 18 m/s and accelerates at -1 m/s2 for 2 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 18·2 + 0.5·-1·22 = 34.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 34.0, "got": 34.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "34.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "182", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-19-2-7-729ba542756f", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=19 m/s", "a=2 m/s2", "t=7 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 19 m/s and accelerates at 2 m/s2 for 7 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 19·7 + 0.5·2·72 = 182.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 182.0, "got": 182.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "182.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "96", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-22-2-6-9776035b6e6b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=22 m/s", "a=-2 m/s2", "t=6 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 22 m/s and accelerates at -2 m/s2 for 6 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 22·6 + 0.5·-2·62 = 96.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 96.0, "got": 96.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "96.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "100", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-15-2-5-4af78e439a11", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=15 m/s", "a=2 m/s2", "t=5 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 15 m/s and accelerates at 2 m/s2 for 5 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 15·5 + 0.5·2·52 = 100.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 100.0, "got": 100.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "100.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "256", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-20-3-8-b86bc5584070", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=20 m/s", "a=3 m/s2", "t=8 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 20 m/s and accelerates at 3 m/s2 for 8 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 20·8 + 0.5·3·82 = 256.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 256.0, "got": 256.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "256.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "63", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-2-2-7-889879c8702d", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=2 m/s", "a=2 m/s2", "t=7 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 2 m/s and accelerates at 2 m/s2 for 7 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 2·7 + 0.5·2·72 = 63.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 63.0, "got": 63.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "63.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "84", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-15-3-4-f3011a24efe5", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=15 m/s", "a=3 m/s2", "t=4 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 15 m/s and accelerates at 3 m/s2 for 4 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 15·4 + 0.5·3·42 = 84.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 84.0, "got": 84.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "84.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "112", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-6-2-8-3558fb948509", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=6 m/s", "a=2 m/s2", "t=8 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 6 m/s and accelerates at 2 m/s2 for 8 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 6·8 + 0.5·2·82 = 112.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 112.0, "got": 112.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "112.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "26", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-12-1-2-40af031e6981", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=12 m/s", "a=1 m/s2", "t=2 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 12 m/s and accelerates at 1 m/s2 for 2 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 12·2 + 0.5·1·22 = 26.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 26.0, "got": 26.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "26.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "64", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-14-1-4-0e0f35b89e99", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=14 m/s", "a=1 m/s2", "t=4 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 14 m/s and accelerates at 1 m/s2 for 4 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 14·4 + 0.5·1·42 = 64.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 64.0, "got": 64.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "64.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "44", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-13-1-4-3044804ba056", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=13 m/s", "a=-1 m/s2", "t=4 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 13 m/s and accelerates at -1 m/s2 for 4 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 13·4 + 0.5·-1·42 = 44.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 44.0, "got": 44.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "44.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "-10", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-3-2-5-f68acedfe995", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.0, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=3 m/s", "a=-2 m/s2", "t=5 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 3 m/s and accelerates at -2 m/s2 for 5 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 3·5 + 0.5·-2·52 = -10.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": -10.0, "got": -10.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "-10.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "107.5", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-19-1-5-dabd82ec0e33", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=19 m/s", "a=1 m/s2", "t=5 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 19 m/s and accelerates at 1 m/s2 for 5 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 19·5 + 0.5·1·52 = 107.5.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 107.5, "got": 107.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "107.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "8", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-4-1-4-2f408d0b51df", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=4 m/s", "a=-1 m/s2", "t=4 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 4 m/s and accelerates at -1 m/s2 for 4 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 4·4 + 0.5·-1·42 = 8.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 8.0, "got": 8.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "8.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "144", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-22-1-8-0836ba879caf", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=22 m/s", "a=-1 m/s2", "t=8 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 22 m/s and accelerates at -1 m/s2 for 8 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 22·8 + 0.5·-1·82 = 144.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 144.0, "got": 144.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "144.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "34.5", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-13-1-3-a10f756e4c54", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=13 m/s", "a=-1 m/s2", "t=3 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 13 m/s and accelerates at -1 m/s2 for 3 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 13·3 + 0.5·-1·32 = 34.5.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 34.5, "got": 34.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "34.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "50", "assumptions": [], "concept_id": "python.loops", "constraints": ["Constant acceleration", "One-dimensional motion"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kin-24-1-2-3b96fab9b333", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["u=24 m/s", "a=1 m/s2", "t=2 s"], "plan": ["Apply s = ut + 1⁄2at2", "Substitute values"], "prompt": "An object starts at 24 m/s and accelerates at 1 m/s2 for 2 s. How far does it travel (metres)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "s = ut + 1⁄2at2 = 24·2 + 0.5·1·22 = 50.0.", "strategy": ["Apply s = ut + ½at²", "Substitute values"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 50.0, "got": 50.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "50.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2704", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-8-26-43b991cd7f9d", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=26 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 8 kg mass moving at 26 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·8·262 = 2704.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2704.0, "got": 2704.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2704.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "80", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-10-4-c8a5a4f00c40", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=10 kg", "v=4 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 10 kg mass moving at 4 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·10·42 = 80.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 80.0, "got": 80.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "80.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3364", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-8-29-9b889f34d355", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=29 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 8 kg mass moving at 29 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·8·292 = 3364.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3364.0, "got": 3364.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3364.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "392", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-4-14-ed5018588a09", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=4 kg", "v=14 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 4 kg mass moving at 14 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·4·142 = 392.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 392.0, "got": 392.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "392.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1152", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-9-16-caad07c63b08", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=9 kg", "v=16 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 9 kg mass moving at 16 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·9·162 = 1152.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1152.0, "got": 1152.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1152.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "294", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-12-7-417337b289a8", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=12 kg", "v=7 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 12 kg mass moving at 7 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·12·72 = 294.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 294.0, "got": 294.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "294.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1014", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-12-13-e704bb3aefd4", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=12 kg", "v=13 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 12 kg mass moving at 13 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·12·132 = 1014.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1014.0, "got": 1014.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1014.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1851.5", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-7-23-abd9351e5860", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=7 kg", "v=23 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 7 kg mass moving at 23 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·7·232 = 1851.5.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1851.5, "got": 1851.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1851.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2592", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-9-24-86463ae495ea", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=9 kg", "v=24 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 9 kg mass moving at 24 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·9·242 = 2592.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2592.0, "got": 2592.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2592.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "661.5", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-3-21-b1ad383c6025", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=3 kg", "v=21 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 3 kg mass moving at 21 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·3·212 = 661.5.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 661.5, "got": 661.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "661.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1083", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-6-19-d575f74e72a6", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=6 kg", "v=19 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 6 kg mass moving at 19 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·6·192 = 1083.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1083.0, "got": 1083.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1083.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "196", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-8-7-15617d218919", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=7 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 8 kg mass moving at 7 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·8·72 = 196.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 196.0, "got": 196.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "196.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1470", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-15-14-0ed82ec07c7c", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=15 kg", "v=14 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 15 kg mass moving at 14 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·15·142 = 1470.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1470.0, "got": 1470.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1470.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2178", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-9-22-2ec6db5c25f7", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=9 kg", "v=22 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 9 kg mass moving at 22 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·9·222 = 2178.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2178.0, "got": 2178.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2178.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "729", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-18-9-ee4d18c8ebed", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=18 kg", "v=9 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 18 kg mass moving at 9 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·18·92 = 729.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 729.0, "got": 729.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "729.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4312", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-11-28-87393bbd4d51", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=11 kg", "v=28 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 11 kg mass moving at 28 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·11·282 = 4312.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4312.0, "got": 4312.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4312.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "81", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-2-9-cb3e0083e5e7", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2 kg", "v=9 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 2 kg mass moving at 9 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·2·92 = 81.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 81.0, "got": 81.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "81.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "729", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-2-27-d82bfbb1d700", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2 kg", "v=27 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 2 kg mass moving at 27 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·2·272 = 729.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 729.0, "got": 729.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "729.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1078", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-11-14-d8b94cbf024c", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=11 kg", "v=14 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 11 kg mass moving at 14 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·11·142 = 1078.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1078.0, "got": 1078.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1078.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "72", "assumptions": [], "concept_id": "science.energy", "constraints": ["SI units", "Non-relativistic"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ke-9-4-44f7cfd84b4b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 2.9}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=9 kg", "v=4 m/s"], "plan": ["Use KE = 1⁄2mv2"], "prompt": "Compute the kinetic energy in joules of a 9 kg mass moving at 4 m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "KE = 1⁄2mv2 = 0.5·9·42 = 72.0.", "strategy": ["Use KE = ½mv²"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 72.0, "got": 72.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "72.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-1-20-b3fabdd14f8f", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=1 A", "R=20 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 1 A flows through 20 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 1·20 = 20.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20, "got": 20}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "16", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-2-8-e93f081fec2e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=2 A", "R=8 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 2 A flows through 8 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 2·8 = 16.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 16, "got": 16}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "16", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "102", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-6-17-63704f03550f", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=6 A", "R=17 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 6 A flows through 17 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 6·17 = 102.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 102, "got": 102}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "102", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "55", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-2-5-22-77b1bcab5853", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=2.5 A", "R=22 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 2.5 A flows through 22 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 2.5·22 = 55.0.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 55.0, "got": 55.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "55.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "18", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-3-6-8f5d4c39ba1a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=3 A", "R=6 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 3 A flows through 6 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 3·6 = 18.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 18, "got": 18}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "18", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "9", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-1-5-6-ed239fa9729c", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=1.5 A", "R=6 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 1.5 A flows through 6 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 1.5·6 = 9.0.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 9.0, "got": 9.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "9.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "25", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-1-25-4e7a00697bc9", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=1 A", "R=25 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 1 A flows through 25 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 1·25 = 25.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 25, "got": 25}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "25", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "76", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-4-19-03935fcf4cca", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=4 A", "R=19 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 4 A flows through 19 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 4·19 = 76.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 76, "got": 76}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "76", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "37.5", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-1-5-25-fe42b05612e0", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=1.5 A", "R=25 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 1.5 A flows through 25 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 1.5·25 = 37.5.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 37.5, "got": 37.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "37.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "75", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-5-15-8186217aab76", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=5 A", "R=15 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 5 A flows through 15 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 5·15 = 75.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 75, "got": 75}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "75", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "70", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-5-14-f96a8ffc0c7b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=5 A", "R=14 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 5 A flows through 14 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 5·14 = 70.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 70, "got": 70}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "70", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "18", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-2-9-d5c86a1fc356", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=2 A", "R=9 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 2 A flows through 9 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 2·9 = 18.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 18, "got": 18}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "18", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "13.5", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-0-75-18-24fa822d3f28", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=0.75 A", "R=18 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 0.75 A flows through 18 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 0.75·18 = 13.5.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 13.5, "got": 13.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "13.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "12", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-3-4-a78292a9d634", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=3 A", "R=4 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 3 A flows through 4 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 3·4 = 12.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 12, "got": 12}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "12", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.25", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-0-25-5-adbd5babd4db", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=0.25 A", "R=5 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 0.25 A flows through 5 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 0.25·5 = 1.25.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.25, "got": 1.25}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.25", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "16.5", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-0-75-22-4d2bc26545e8", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=0.75 A", "R=22 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 0.75 A flows through 22 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 0.75·22 = 16.5.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 16.5, "got": 16.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "16.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "17.25", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-0-75-23-cbd32334df41", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=0.75 A", "R=23 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 0.75 A flows through 23 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 0.75·23 = 17.25.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 17.25, "got": 17.25}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "17.25", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "52.5", "assumptions": [], "concept_id": "science.circuits", "constraints": ["Ohmic resistor", "DC"], "context": {"field": "engineering", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ohm-2-5-21-0eb5c0ff0e85", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.8}, "field": "engineering", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["I=2.5 A", "R=21 Ω"], "plan": ["Apply Ohm's law"], "prompt": "A current of 2.5 A flows through 21 Ω. What is the voltage drop in volts?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "V = IR = 2.5·21 = 52.5.", "strategy": ["Apply Ohm's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 52.5, "got": 52.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "52.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "270", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-2700-0-1-c7df099f4733", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=2700 kg/m3", "V=0.1 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 2700 kg/m3 and volume 0.1 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 2700·0.1 = 270.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 270.0, "got": 270.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "270.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1930", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-19300-0-1-48f48a0dd416", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=19300 kg/m3", "V=0.1 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 19300 kg/m3 and volume 0.1 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 19300·0.1 = 1930.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1930.0, "got": 1930.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1930.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "10", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-1000-0-01-4df97098cc91", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=1000 kg/m3", "V=0.01 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 1000 kg/m3 and volume 0.01 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 1000·0.01 = 10.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 10.0, "got": 10.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "10.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "135", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-2700-0-05-e7e2bd03e038", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=2700 kg/m3", "V=0.05 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 2700 kg/m3 and volume 0.05 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 2700·0.05 = 135.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 135.0, "got": 135.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "135.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "100", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-1000-0-1-17a9b67b0b10", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=1000 kg/m3", "V=0.1 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 1000 kg/m3 and volume 0.1 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 1000·0.1 = 100.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 100.0, "got": 100.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "100.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "780", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-7800-0-1-27e7f2c7fee0", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=7800 kg/m3", "V=0.1 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 7800 kg/m3 and volume 0.1 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 7800·0.1 = 780.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 780.0, "got": 780.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "780.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "78", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-7800-0-01-af188298b38e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=7800 kg/m3", "V=0.01 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 7800 kg/m3 and volume 0.01 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 7800·0.01 = 78.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 78.0, "got": 78.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "78.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-1000-0-02-2a344bbc8538", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=1000 kg/m3", "V=0.02 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 1000 kg/m3 and volume 0.02 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 1000·0.02 = 20.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20.0, "got": 20.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "390", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-7800-0-05-5976a859c6bb", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=7800 kg/m3", "V=0.05 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 7800 kg/m3 and volume 0.05 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 7800·0.05 = 390.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 390.0, "got": 390.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "390.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "27", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density"], "context": {"field": "earth_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-2700-0-01-faefb5684634", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 2.2249999999999996}, "field": "earth_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["ρ=2700 kg/m3", "V=0.01 m3"], "plan": ["Use m = ρV"], "prompt": "A sample has density 2700 kg/m3 and volume 0.01 m3. What is its mass in kg?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "m = ρV = 2700·0.01 = 27.0.", "strategy": ["Use m = ρV"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 27.0, "got": 27.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "27.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "515468", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-0-310-0-01-60ccf7dcbf1b", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2.0 mol", "T=310 K", "V=0.01 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=310 K, V=0.01 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2.0·8.314·310/0.01 = 515468.0.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 515468.0, "got": 515468.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "515468.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "49551.44", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-1-0-298-0-05-82c3c191b5c4", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=1.0 mol", "T=298 K", "V=0.05 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=1 mol, T=298 K, V=0.05 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 1.0·8.314·298/0.05 = 49551.44.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 49551.44, "got": 49551.44}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "49551.44", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "45394.44", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-1-0-273-0-05-e3cc942ab56c", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=1.0 mol", "T=273 K", "V=0.05 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=1 mol, T=273 K, V=0.05 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 1.0·8.314·273/0.05 = 45394.44.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 45394.44, "got": 45394.44}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "45394.44", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "90788.88", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-0-273-0-05-517edcb10725", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2.0 mol", "T=273 K", "V=0.05 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=273 K, V=0.05 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2.0·8.314·273/0.05 = 90788.88.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 90788.88, "got": 90788.88}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "90788.88", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "247757.2", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-0-298-0-02-1d2ee791776f", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2.0 mol", "T=298 K", "V=0.02 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=298 K, V=0.02 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2.0·8.314·298/0.02 = 247757.2.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 247757.2, "got": 247757.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "247757.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "145495", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-0-5-350-0-01-6e2d73a8f581", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.5 mol", "T=350 K", "V=0.01 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=0.5 mol, T=350 K, V=0.01 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 0.5·8.314·350/0.01 = 145495.0.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 145495.0, "got": 145495.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "145495.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "24775.72", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-0-5-298-0-05-000ca4655398", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.5 mol", "T=298 K", "V=0.05 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=0.5 mol, T=298 K, V=0.05 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 0.5·8.314·298/0.05 = 24775.72.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 24775.72, "got": 24775.72}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "24775.72", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "116396", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-0-350-0-05-c42a8f7d8167", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2.0 mol", "T=350 K", "V=0.05 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=350 K, V=0.05 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2.0·8.314·350/0.05 = 116396.0.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 116396.0, "got": 116396.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "116396.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "64433.5", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-0-5-310-0-02-183de50a8e5b", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.5 mol", "T=310 K", "V=0.02 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=0.5 mol, T=310 K, V=0.02 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 0.5·8.314·310/0.02 = 64433.5.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 64433.5, "got": 64433.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "64433.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "247757.2", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-1-0-298-0-01-08d728af6f84", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=1.0 mol", "T=298 K", "V=0.01 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=1 mol, T=298 K, V=0.01 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 1.0·8.314·298/0.01 = 247757.2.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 247757.2, "got": 247757.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "247757.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "226972.2", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-1-0-273-0-01-716f63a008b0", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=1.0 mol", "T=273 K", "V=0.01 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=1 mol, T=273 K, V=0.01 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 1.0·8.314·273/0.01 = 226972.2.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 226972.2, "got": 226972.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "226972.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "113486.1", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-0-5-273-0-01-20796fcf1913", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 3.8999999999999995}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.5 mol", "T=273 K", "V=0.01 m3"], "plan": ["Apply PV = nRT", "Solve for P"], "prompt": "An ideal gas has n=0.5 mol, T=273 K, V=0.01 m3. Using R=8.314 J/(mol·K), compute P in pascals.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 0.5·8.314·273/0.01 = 113486.1.", "strategy": ["Apply PV = nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 113486.1, "got": 113486.1}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "113486.1", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "17.87202381", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Oxygen in excess", "Given molar masses"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stoich-2-0-2114b49fe1e2", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.6, "plan": 1.2000000000000002, "prompt_length": 0.75, "tests": 0.0, "total": 4.45}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m(H2)=2.0 g", "stoichiometry 2:2 for H2:H2O"], "plan": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "prompt": "For 2 H2 + O2 → 2 H2O, how many grams of water form from 2 g of H2 if oxygen is in excess? Use M(H2)=2.016 g/mol and M(H2O)=18.015 g/mol.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "mol H2 = 2.0/2.016 = 0.9920634920634921. mol H2O = mol H2 = 0.9920634920634921. mass = 0.9920634920634921·18.015 = 17.87202380952381.", "strategy": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 17.87202380952381, "got": 17.87202380952381}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "17.87202380952381", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "53.61607143", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Oxygen in excess", "Given molar masses"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stoich-6-0-685df964557d", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.6, "plan": 1.2000000000000002, "prompt_length": 0.75, "tests": 0.0, "total": 4.45}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m(H2)=6.0 g", "stoichiometry 2:2 for H2:H2O"], "plan": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "prompt": "For 2 H2 + O2 → 2 H2O, how many grams of water form from 6 g of H2 if oxygen is in excess? Use M(H2)=2.016 g/mol and M(H2O)=18.015 g/mol.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "mol H2 = 6.0/2.016 = 2.9761904761904763. mol H2O = mol H2 = 2.9761904761904763. mass = 2.9761904761904763·18.015 = 53.61607142857143.", "strategy": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 53.61607142857143, "got": 53.61607142857143}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "53.61607142857143", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "35.74404762", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Oxygen in excess", "Given molar masses"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stoich-4-0-a61b34fb31e4", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.6, "plan": 1.2000000000000002, "prompt_length": 0.75, "tests": 0.0, "total": 4.45}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m(H2)=4.0 g", "stoichiometry 2:2 for H2:H2O"], "plan": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "prompt": "For 2 H2 + O2 → 2 H2O, how many grams of water form from 4 g of H2 if oxygen is in excess? Use M(H2)=2.016 g/mol and M(H2O)=18.015 g/mol.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "mol H2 = 4.0/2.016 = 1.9841269841269842. mol H2O = mol H2 = 1.9841269841269842. mass = 1.9841269841269842·18.015 = 35.74404761904762.", "strategy": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 35.74404761904762, "got": 35.74404761904762}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "35.74404761904762", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "71.48809524", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Oxygen in excess", "Given molar masses"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stoich-8-0-08049c7192f6", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.6, "plan": 1.2000000000000002, "prompt_length": 0.75, "tests": 0.0, "total": 4.45}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m(H2)=8.0 g", "stoichiometry 2:2 for H2:H2O"], "plan": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "prompt": "For 2 H2 + O2 → 2 H2O, how many grams of water form from 8 g of H2 if oxygen is in excess? Use M(H2)=2.016 g/mol and M(H2O)=18.015 g/mol.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "mol H2 = 8.0/2.016 = 3.9682539682539684. mol H2O = mol H2 = 3.9682539682539684. mass = 3.9682539682539684·18.015 = 71.48809523809524.", "strategy": ["Convert to moles", "Apply mole ratio", "Convert to grams"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 71.48809523809524, "got": 71.48809523809524}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "71.48809523809524", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4", "assumptions": [], "concept_id": null, "constraints": ["25 °C", "ideal dilute solution", "complete dissociation"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-0-0001-e7bb27491a7f", "metadata": {"difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.7999999999999994}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["[H+]=0.0001 mol/L"], "plan": ["Apply pH = -log10[H+]"], "prompt": "A strong acid is fully dissociated at [0.0001 ] mol/L H+. What is the pH?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "pH = -log10[H+] = -log10(0.0001) = 4.0.", "strategy": ["Apply pH = -log10[H+]"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4.0, "got": 4.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2", "assumptions": [], "concept_id": null, "constraints": ["25 °C", "ideal dilute solution", "complete dissociation"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-0-01-6d5621ce0db0", "metadata": {"difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.7999999999999994}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["[H+]=0.01 mol/L"], "plan": ["Apply pH = -log10[H+]"], "prompt": "A strong acid is fully dissociated at [0.01 ] mol/L H+. What is the pH?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "pH = -log10[H+] = -log10(0.01) = 2.0.", "strategy": ["Apply pH = -log10[H+]"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2.0, "got": 2.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1", "assumptions": [], "concept_id": null, "constraints": ["25 °C", "ideal dilute solution", "complete dissociation"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-0-1-da9cdba99ebb", "metadata": {"difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.7999999999999994}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["[H+]=0.1 mol/L"], "plan": ["Apply pH = -log10[H+]"], "prompt": "A strong acid is fully dissociated at [0.1 ] mol/L H+. What is the pH?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "pH = -log10[H+] = -log10(0.1) = 1.0.", "strategy": ["Apply pH = -log10[H+]"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.0, "got": 1.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3", "assumptions": [], "concept_id": null, "constraints": ["25 °C", "ideal dilute solution", "complete dissociation"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-0-001-6e2fe9e773d3", "metadata": {"difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.7999999999999994}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["[H+]=0.001 mol/L"], "plan": ["Apply pH = -log10[H+]"], "prompt": "A strong acid is fully dissociated at [0.001 ] mol/L H+. What is the pH?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "pH = -log10[H+] = -log10(0.001) = 3.0.", "strategy": ["Apply pH = -log10[H+]"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.0, "got": 3.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3870", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-2-0-387-5-38287a97ad23", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2.0 kg", "c=387 J/(kg·K)", "ΔT=5 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 2 kg of a material with c=387 J/(kg·K) through ΔT=5 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 2.0·387·5 = 3870.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3870.0, "got": 3870.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3870.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "16736", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-0-2-4184-20-2dd6070dce97", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.2 kg", "c=4184 J/(kg·K)", "ΔT=20 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 0.2 kg of a material with c=4184 J/(kg·K) through ΔT=20 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 0.2·4184·20 = 16736.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 16736.0, "got": 16736.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "16736.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "41840", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-1-0-4184-10-3140558d068b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=1.0 kg", "c=4184 J/(kg·K)", "ΔT=10 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 1 kg of a material with c=4184 J/(kg·K) through ΔT=10 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 1.0·4184·10 = 41840.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 41840.0, "got": 41840.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "41840.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "52300", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-0-5-4184-25-dc86a9ec012d", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.5 kg", "c=4184 J/(kg·K)", "ΔT=25 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 0.5 kg of a material with c=4184 J/(kg·K) through ΔT=25 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 0.5·4184·25 = 52300.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 52300.0, "got": 52300.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "52300.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "167360", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-2-0-4184-20-f16def49a599", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2.0 kg", "c=4184 J/(kg·K)", "ΔT=20 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 2 kg of a material with c=4184 J/(kg·K) through ΔT=20 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 2.0·4184·20 = 167360.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 167360.0, "got": 167360.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "167360.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "9000", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-0-5-900-20-37d7b376d1a7", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.5 kg", "c=900 J/(kg·K)", "ΔT=20 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 0.5 kg of a material with c=900 J/(kg·K) through ΔT=20 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 0.5·900·20 = 9000.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 9000.0, "got": 9000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "9000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "41840", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-0-5-4184-20-9beec74bbe79", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.5 kg", "c=4184 J/(kg·K)", "ΔT=20 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 0.5 kg of a material with c=4184 J/(kg·K) through ΔT=20 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 0.5·4184·20 = 41840.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 41840.0, "got": 41840.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "41840.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20920", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-0-2-4184-25-66452d514292", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.2 kg", "c=4184 J/(kg·K)", "ΔT=25 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 0.2 kg of a material with c=4184 J/(kg·K) through ΔT=25 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 0.2·4184·25 = 20920.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20920.0, "got": 20920.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20920.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "8368", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-0-2-4184-10-924b2001269c", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.2 kg", "c=4184 J/(kg·K)", "ΔT=10 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 0.2 kg of a material with c=4184 J/(kg·K) through ΔT=10 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 0.2·4184·10 = 8368.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 8368.0, "got": 8368.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "8368.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2700", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-0-2-900-15-4d4f54cbb318", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.2 kg", "c=900 J/(kg·K)", "ΔT=15 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 0.2 kg of a material with c=900 J/(kg·K) through ΔT=15 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 0.2·900·15 = 2700.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2700.0, "got": 2700.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2700.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "36000", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-2-0-900-20-e60bdcefe81b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2.0 kg", "c=900 J/(kg·K)", "ΔT=20 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 2 kg of a material with c=900 J/(kg·K) through ΔT=20 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 2.0·900·20 = 36000.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 36000.0, "got": 36000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "36000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "83680", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-2-0-4184-10-24cbf8d18e24", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2.0 kg", "c=4184 J/(kg·K)", "ΔT=10 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 2 kg of a material with c=4184 J/(kg·K) through ΔT=10 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 2.0·4184·10 = 83680.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 83680.0, "got": 83680.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "83680.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20920", "assumptions": [], "concept_id": "science.energy", "constraints": ["No phase change", "Constant c"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-heat-1-0-4184-5-5dca2b92bdd1", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.275}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=1.0 kg", "c=4184 J/(kg·K)", "ΔT=5 K"], "plan": ["Apply Q = mcΔT"], "prompt": "Heat 1 kg of a material with c=4184 J/(kg·K) through ΔT=5 K. What energy in joules is required?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q = mcΔT = 1.0·4184·5 = 20920.0.", "strategy": ["Apply Q = mcΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20920.0, "got": 20920.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20920.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.125", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-300000000-0-2400000000-0-b61f2ca4a9cd", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=300000000.0 m/s", "f=2400000000.0 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 3e+08 m/s with frequency 2.4e+09 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 300000000.0/2400000000.0 = 0.125.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.125, "got": 0.125}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.125", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.416666667e-07", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-340-2400000000-0-b8f202cac68e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.55}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=340 m/s", "f=2400000000.0 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 340 m/s with frequency 2.4e+09 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 340/2400000000.0 = 1.4166666666666668e-07.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.4166666666666668e-07, "got": 1.4166666666666668e-07}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.4166666666666668e-07", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.6640625", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-340-512-f3a2da0c40bd", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.175}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=340 m/s", "f=512 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 340 m/s with frequency 512 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 340/512 = 0.6640625.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.6640625, "got": 0.6640625}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.6640625", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1171875", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-300000000-0-256-f4655d52f0c2", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.3}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=300000000.0 m/s", "f=256 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 3e+08 m/s with frequency 256 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 300000000.0/256 = 1171875.0.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1171875.0, "got": 1171875.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1171875.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "300000", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-300000000-0-1000-3611e0cb1eec", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.3}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=300000000.0 m/s", "f=1000 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 3e+08 m/s with frequency 1000 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 300000000.0/1000 = 300000.0.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 300000.0, "got": 300000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "300000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.328125", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-340-256-f17c8fee2190", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.175}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=340 m/s", "f=256 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 340 m/s with frequency 256 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 340/256 = 1.328125.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.328125, "got": 1.328125}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.328125", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.409090909", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-1500-440-268ad4256aa0", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.175}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=1500 m/s", "f=440 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 1500 m/s with frequency 440 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 1500/440 = 3.409090909090909.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.409090909090909, "got": 3.409090909090909}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.409090909090909", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "681818.1818", "assumptions": [], "concept_id": "science.waves", "constraints": ["Linear medium", "v = fλ"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-wave-300000000-0-440-8ce6dea1d537", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.3}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["v=300000000.0 m/s", "f=440 Hz"], "plan": ["Apply λ = v/f"], "prompt": "A wave travels at 3e+08 m/s with frequency 440 Hz. What is its wavelength in metres?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "λ = v/f = 300000000.0/440 = 681818.1818181818.", "strategy": ["Apply λ = v/f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 681818.1818181818, "got": 681818.1818181818}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "681818.1818181818", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.75", "assumptions": [], "concept_id": "science.genetics", "constraints": ["Mendelian independent segregation", "Complete dominance"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-punnett-0-0-3e25de21a9e8", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.3, "plan": 0.8, "prompt_length": 0.525, "tests": 0.0, "total": 3.15}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["Parents both Aa"], "plan": ["Write the Punnett square", "Count the requested class"], "prompt": "In a monohybrid Aa × Aa cross with complete dominance, what fraction of offspring are expected to show the dominant phenotype?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Genotypes: 1 AA : 2 Aa : 1 aa. Dominant phenotype = 3/4.", "strategy": ["Write the Punnett square", "Count the requested class"], "task_type": "interpretation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.75, "got": 0.75}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.75", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.5", "assumptions": [], "concept_id": "math.arithmetic", "constraints": ["Mendelian independent segregation", "Complete dominance"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-punnett-1-1-292890579fea", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.3, "plan": 0.8, "prompt_length": 0.325, "tests": 0.0, "total": 3.075}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["Parents both Aa"], "plan": ["Write the Punnett square", "Count the requested class"], "prompt": "In a monohybrid Aa × Aa cross, what fraction of offspring are heterozygous?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Punnett square: AA, Aa, aA, aa. Heterozygotes = 2/4 = 1/2.", "strategy": ["Write the Punnett square", "Count the requested class"], "task_type": "interpretation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.5, "got": 0.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "200", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1600-5-15-f3be9b9218ed", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1600", "T1⁄2=5 yr", "t=15 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1600 nuclei has half-life 5 years. How many remain after 15 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1600 · 0.5^(15/5) = 200.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 200.0, "got": 200.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "200.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "500", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1000-4-4-c2e3db0a0d19", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1000", "T1⁄2=4 yr", "t=4 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1000 nuclei has half-life 4 years. How many remain after 4 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1000 · 0.5^(4/4) = 500.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 500.0, "got": 500.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "500.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "400", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1600-5-10-d8a841ae5449", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1600", "T1⁄2=5 yr", "t=10 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1600 nuclei has half-life 5 years. How many remain after 10 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1600 · 0.5^(10/5) = 400.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 400.0, "got": 400.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "400.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "200", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-800-4-8-806d3146bd19", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=800", "T1⁄2=4 yr", "t=8 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 800 nuclei has half-life 4 years. How many remain after 8 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 800 · 0.5^(8/4) = 200.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 200.0, "got": 200.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "200.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "100", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-800-5-15-9b0fa1432610", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=800", "T1⁄2=5 yr", "t=15 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 800 nuclei has half-life 5 years. How many remain after 15 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 800 · 0.5^(15/5) = 100.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 100.0, "got": 100.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "100.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "250", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1000-4-8-62a972c6b835", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1000", "T1⁄2=4 yr", "t=8 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1000 nuclei has half-life 4 years. How many remain after 8 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1000 · 0.5^(8/4) = 250.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 250.0, "got": 250.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "250.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "200", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-800-2-4-12f295a21455", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=800", "T1⁄2=2 yr", "t=4 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 800 nuclei has half-life 2 years. How many remain after 4 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 800 · 0.5^(4/2) = 200.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 200.0, "got": 200.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "200.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "800", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1600-5-5-b1e23af61513", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1600", "T1⁄2=5 yr", "t=5 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1600 nuclei has half-life 5 years. How many remain after 5 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1600 · 0.5^(5/5) = 800.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 800.0, "got": 800.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "800.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "400", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-800-5-5-576a77b85d5e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=800", "T1⁄2=5 yr", "t=5 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 800 nuclei has half-life 5 years. How many remain after 5 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 800 · 0.5^(5/5) = 400.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 400.0, "got": 400.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "400.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "800", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1600-4-4-92182f29dbee", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1600", "T1⁄2=4 yr", "t=4 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1600 nuclei has half-life 4 years. How many remain after 4 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1600 · 0.5^(4/4) = 800.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 800.0, "got": 800.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "800.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "500", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1000-2-2-9c5339b0d212", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1000", "T1⁄2=2 yr", "t=2 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1000 nuclei has half-life 2 years. How many remain after 2 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1000 · 0.5^(2/2) = 500.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 500.0, "got": 500.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "500.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "125", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Exponential decay", "No production term"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-1000-5-15-c85b34bf367d", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.375, "tests": 0.0, "total": 4.225}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=1000", "T1⁄2=5 yr", "t=15 yr"], "plan": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "prompt": "A sample of 1000 nuclei has half-life 5 years. How many remain after 15 years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 · (1/2)^(t/T) = 1000 · 0.5^(15/5) = 125.0.", "strategy": ["Compute the number of half-lives", "Multiply by 1/2 each time"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 125.0, "got": 125.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "125.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.2407500841", "assumptions": [], "concept_id": "science.waves", "constraints": ["Sun-dominated two-body problem", "T in years, a in AU"], "context": {"field": "astronomy", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kepler-0-387-62ee168c1322", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.3, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 3.175}, "field": "astronomy", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["a=0.387 AU"], "plan": ["Apply T = a^(3/2)"], "prompt": "Using Kepler's third law in AU and years (T2 = a3), estimate the orbital period of a planet with semi-major axis 0.387 AU.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T = a^(3/2) = 0.387^1.5 = 0.24075008411213486 years.", "strategy": ["Apply T = a^(3/2)"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.24075008411213486, "got": 0.24075008411213486}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.24075008411213486", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.881384018", "assumptions": [], "concept_id": "science.waves", "constraints": ["Sun-dominated two-body problem", "T in years, a in AU"], "context": {"field": "astronomy", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kepler-1-524-c0317de241a2", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.3, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 3.175}, "field": "astronomy", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["a=1.524 AU"], "plan": ["Apply T = a^(3/2)"], "prompt": "Using Kepler's third law in AU and years (T2 = a3), estimate the orbital period of a planet with semi-major axis 1.524 AU.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T = a^(3/2) = 1.524^1.5 = 1.8813840182163768 years.", "strategy": ["Apply T = a^(3/2)"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.8813840182163768, "got": 1.8813840182163768}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.8813840182163768", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.6147626103", "assumptions": [], "concept_id": "science.waves", "constraints": ["Sun-dominated two-body problem", "T in years, a in AU"], "context": {"field": "astronomy", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kepler-0-723-1c14c766dfac", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.3, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 3.175}, "field": "astronomy", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["a=0.723 AU"], "plan": ["Apply T = a^(3/2)"], "prompt": "Using Kepler's third law in AU and years (T2 = a3), estimate the orbital period of a planet with semi-major axis 0.723 AU.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T = a^(3/2) = 0.723^1.5 = 0.6147626102813996 years.", "strategy": ["Apply T = a^(3/2)"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.6147626102813996, "got": 0.6147626102813996}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.6147626102813996", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.4", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-2-0-0-05-0-25-ed7553b3080b", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=2.0", "V1=0.05 L", "V2=0.25 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.05 L of a 2 M stock to 0.25 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 2.0·0.05/0.25 = 0.4.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.4, "got": 0.4}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.4", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.2", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-2-0-0-05-0-5-0979d657e15a", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=2.0", "V1=0.05 L", "V2=0.5 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.05 L of a 2 M stock to 0.5 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 2.0·0.05/0.5 = 0.2.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.2, "got": 0.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.2", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-6-0-0-05-0-25-df6522f6db1a", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=6.0", "V1=0.05 L", "V2=0.25 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.05 L of a 6 M stock to 0.25 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 6.0·0.05/0.25 = 1.2000000000000002.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.2000000000000002, "got": 1.2000000000000002}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.2000000000000002", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.6", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-6-0-0-01-0-1-057841430009", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=6.0", "V1=0.01 L", "V2=0.1 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.01 L of a 6 M stock to 0.1 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 6.0·0.01/0.1 = 0.6.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.6, "got": 0.6}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.6", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-12-0-0-025-0-1-f47ea48baac5", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=12.0", "V1=0.025 L", "V2=0.1 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.025 L of a 12 M stock to 0.1 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 12.0·0.025/0.1 = 3.0000000000000004.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.0000000000000004, "got": 3.0000000000000004}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.0000000000000004", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.25", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-1-0-0-025-0-1-2cbfa6a947cc", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=1.0", "V1=0.025 L", "V2=0.1 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.025 L of a 1 M stock to 0.1 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 1.0·0.025/0.1 = 0.25.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.25, "got": 0.25}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.25", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.12", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-6-0-0-01-0-5-e37eab2479cf", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=6.0", "V1=0.01 L", "V2=0.5 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.01 L of a 6 M stock to 0.5 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 6.0·0.01/0.5 = 0.12.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.12, "got": 0.12}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.12", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.2", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-12-0-0-05-0-5-349633a66ce7", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=12.0", "V1=0.05 L", "V2=0.5 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.05 L of a 12 M stock to 0.5 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 12.0·0.05/0.5 = 1.2000000000000002.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.2000000000000002, "got": 1.2000000000000002}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.2000000000000002", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "6", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-12-0-0-05-0-1-4b51dbb439d1", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=12.0", "V1=0.05 L", "V2=0.1 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.05 L of a 12 M stock to 0.1 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 12.0·0.05/0.1 = 6.000000000000001.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 6.000000000000001, "got": 6.000000000000001}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "6.000000000000001", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.02", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-1-0-0-01-0-5-f15b86b9ff3d", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=1.0", "V1=0.01 L", "V2=0.5 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.01 L of a 1 M stock to 0.5 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 1.0·0.01/0.5 = 0.02.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.02, "got": 0.02}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.02", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-2-0-0-05-0-1-3123cb8cae3e", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=2.0", "V1=0.05 L", "V2=0.1 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.05 L of a 2 M stock to 0.1 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 2.0·0.05/0.1 = 1.0.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.0, "got": 1.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.6", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-6-0-0-05-0-5-bc8dc3873b16", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=6.0", "V1=0.05 L", "V2=0.5 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.05 L of a 6 M stock to 0.5 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 6.0·0.05/0.5 = 0.6000000000000001.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.6000000000000001, "got": 0.6000000000000001}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.6000000000000001", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.5", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-2-0-0-025-0-1-ff2fd5c01e66", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=2.0", "V1=0.025 L", "V2=0.1 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.025 L of a 2 M stock to 0.1 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 2.0·0.025/0.1 = 0.5.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.5, "got": 0.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.1", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as stated"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-1-0-0-025-0-25-989b7d668356", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.2249999999999996}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M1=1.0", "V1=0.025 L", "V2=0.25 L"], "plan": ["Apply M1V1=M2V2"], "prompt": "Dilute 0.025 L of a 1 M stock to 0.25 L. What is the final molarity?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M1V1 = M2V2 ⇒ M2 = 1.0·0.025/0.25 = 0.1.", "strategy": ["Apply M1V1=M2V2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.1, "got": 0.1}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.1", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "64", "assumptions": [], "concept_id": "python.loops", "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-0-16-0-3c8a66aad359", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.275, "tests": 0.0, "total": 1.375}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "An algorithm performs n log2(n) comparisons. For n=16, how many comparisons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "n log2 n = 16·4.0 = 64.0.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 64.0, "got": 64.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "64.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2080", "assumptions": [], "concept_id": "python.loops", "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-1-64-1-ee672f3b93e9", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.25, "observations": 0.0, "plan": 0.4, "prompt_length": 0.3, "tests": 0.0, "total": 1.6500000000000001}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "A nested loop runs i=1..n, j=1..i. How many (i,j) pairs for n=64?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Sum_{i=1..n} i = n(n+1)/2 = 2080.0.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2080.0, "got": 2080.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2080.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-2-32-2-ef5e5c485221", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.35, "tests": 0.0, "total": 1.4500000000000002}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "How many bits are required to represent the integer 32 in binary (floor(log2 n))?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "floor(log2(32)) = 5.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5.0, "got": 5.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "13", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-3-32-3-e7041d8b4479", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.175, "tests": 0.0, "total": 1.2750000000000001}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "Convert the binary integer 1101 to decimal.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "11012 = 1310.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 13.0, "got": 13.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "13.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2048", "assumptions": [], "concept_id": "python.loops", "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-0-256-4-35d72d44eb5a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.275, "tests": 0.0, "total": 1.375}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "An algorithm performs n log2(n) comparisons. For n=256, how many comparisons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "n log2 n = 256·8.0 = 2048.0.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2048.0, "got": 2048.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2048.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "8256", "assumptions": [], "concept_id": "python.loops", "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-1-128-5-4f43c5e5fcd8", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.25, "observations": 0.0, "plan": 0.4, "prompt_length": 0.3, "tests": 0.0, "total": 1.6500000000000001}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "A nested loop runs i=1..n, j=1..i. How many (i,j) pairs for n=128?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Sum_{i=1..n} i = n(n+1)/2 = 8256.0.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 8256.0, "got": 8256.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "8256.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "8", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-2-256-6-4bff46f5ace4", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.35, "tests": 0.0, "total": 1.4500000000000002}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "How many bits are required to represent the integer 256 in binary (floor(log2 n))?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "floor(log2(256)) = 8.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 8.0, "got": 8.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "8.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "160", "assumptions": [], "concept_id": "python.loops", "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-0-32-8-e3a9a696244b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.275, "tests": 0.0, "total": 1.375}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "An algorithm performs n log2(n) comparisons. For n=32, how many comparisons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "n log2 n = 32·5.0 = 160.0.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 160.0, "got": 160.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "160.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-2-16-10-219f8ea0f428", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.35, "tests": 0.0, "total": 1.4500000000000002}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "How many bits are required to represent the integer 16 in binary (floor(log2 n))?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "floor(log2(16)) = 4.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4.0, "got": 4.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "58", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-3-32-11-e809824a5e16", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.175, "tests": 0.0, "total": 1.2750000000000001}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "Convert the binary integer 111010 to decimal.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1110102 = 5810.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 58.0, "got": 58.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "58.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "896", "assumptions": [], "concept_id": "python.loops", "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-0-128-12-bfb80d98a791", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.275, "tests": 0.0, "total": 1.375}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "An algorithm performs n log2(n) comparisons. For n=128, how many comparisons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "n log2 n = 128·7.0 = 896.0.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 896.0, "got": 896.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "896.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "528", "assumptions": [], "concept_id": "python.loops", "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-1-32-13-51ef87fd6b92", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.25, "observations": 0.0, "plan": 0.4, "prompt_length": 0.3, "tests": 0.0, "total": 1.6500000000000001}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "A nested loop runs i=1..n, j=1..i. How many (i,j) pairs for n=32?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Sum_{i=1..n} i = n(n+1)/2 = 528.0.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 528.0, "got": 528.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "528.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "6", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-2-64-14-f6ee9c01eda6", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.35, "tests": 0.0, "total": 1.4500000000000002}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "How many bits are required to represent the integer 64 in binary (floor(log2 n))?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "floor(log2(64)) = 6.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 6.0, "got": 6.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "6.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "14", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-3-32-15-4c21edb659f8", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.175, "tests": 0.0, "total": 1.2750000000000001}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "Convert the binary integer 1110 to decimal.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "11102 = 1410.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 14.0, "got": 14.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "14.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "52", "assumptions": [], "concept_id": null, "constraints": ["Exact integer or binary logarithm as specified"], "context": {"field": "computer_science", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cs-3-32-19-7d0889f5d000", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.0, "observations": 0.0, "plan": 0.4, "prompt_length": 0.175, "tests": 0.0, "total": 1.2750000000000001}, "field": "computer_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": [], "plan": ["Apply the stated formula or place-value conversion"], "prompt": "Convert the binary integer 110100 to decimal.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1101002 = 5210.", "strategy": ["Apply the stated formula or place-value conversion"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 52.0, "got": 52.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "52.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5000000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-5000-0-001-d29495f9a641", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=5000 N", "A=0.001 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 5000 N acts on a cross-section of 0.001 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 5000/0.001 = 5000000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5000000.0, "got": 5000000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5000000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2500000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-2500-0-001-b060a1b37237", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=2500 N", "A=0.001 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 2500 N acts on a cross-section of 0.001 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 2500/0.001 = 2500000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2500000.0, "got": 2500000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2500000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1250000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-2500-0-002-56d03664cac2", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=2500 N", "A=0.002 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 2500 N acts on a cross-section of 0.002 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 2500/0.002 = 1250000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1250000.0, "got": 1250000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1250000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2500000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-5000-0-002-f845f7ed9eaa", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=5000 N", "A=0.002 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 5000 N acts on a cross-section of 0.002 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 5000/0.002 = 2500000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2500000.0, "got": 2500000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2500000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "500000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-1000-0-002-318b1102ce14", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=1000 N", "A=0.002 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 1000 N acts on a cross-section of 0.002 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 1000/0.002 = 500000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 500000.0, "got": 500000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "500000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1000000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-5000-0-005-3d71f762e8a3", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=5000 N", "A=0.005 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 5000 N acts on a cross-section of 0.005 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 5000/0.005 = 1000000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1000000.0, "got": 1000000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1000000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2000000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-10000-0-005-c50d181c9080", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=10000 N", "A=0.005 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 10000 N acts on a cross-section of 0.005 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 10000/0.005 = 2000000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2000000.0, "got": 2000000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2000000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "500000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-2500-0-005-ea27fa0a3e9b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=2500 N", "A=0.005 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 2500 N acts on a cross-section of 0.005 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 2500/0.005 = 500000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 500000.0, "got": 500000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "500000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "200000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-1000-0-005-64ebb8c0621e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=1000 N", "A=0.005 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 1000 N acts on a cross-section of 0.005 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 1000/0.005 = 200000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 200000.0, "got": 200000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "200000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5000000", "assumptions": [], "concept_id": "python.loops", "constraints": ["Uniform uniaxial stress"], "context": {"field": "materials_science", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-stress-10000-0-002-f4198bc37313", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.5749999999999997}, "field": "materials_science", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=10000 N", "A=0.002 m2"], "plan": ["Apply σ = F/A"], "prompt": "A tensile force of 10000 N acts on a cross-section of 0.002 m2. What is the axial stress in pascals?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "σ = F/A = 10000/0.002 = 5000000.0.", "strategy": ["Apply σ = F/A"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5000000.0, "got": 5000000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5000000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "30", "assumptions": [], "concept_id": "science.method", "constraints": ["One unit per replicate", "No blocking factor in this count"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-exp-6-5-0-2a9485087370", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.9}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["treatments=6", "replicates=5"], "plan": ["Multiply treatments by replicates"], "prompt": "You will test 6 fertilizer treatments with 5 independent replicates each, fully randomized. How many experimental units do you need?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "units = treatments × replicates = 6×5 = 30.", "strategy": ["Multiply treatments by replicates"], "task_type": "experimental_design", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 30.0, "got": 30.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "30.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "16", "assumptions": [], "concept_id": "science.method", "constraints": ["One unit per replicate", "No blocking factor in this count"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-exp-4-4-1-32be60537ca3", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.9}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["treatments=4", "replicates=4"], "plan": ["Multiply treatments by replicates"], "prompt": "You will test 4 fertilizer treatments with 4 independent replicates each, fully randomized. How many experimental units do you need?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "units = treatments × replicates = 4×4 = 16.", "strategy": ["Multiply treatments by replicates"], "task_type": "experimental_design", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 16.0, "got": 16.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "16.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "18", "assumptions": [], "concept_id": "science.method", "constraints": ["One unit per replicate", "No blocking factor in this count"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-exp-6-3-2-45d93bb0b63b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.9}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["treatments=6", "replicates=3"], "plan": ["Multiply treatments by replicates"], "prompt": "You will test 6 fertilizer treatments with 3 independent replicates each, fully randomized. How many experimental units do you need?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "units = treatments × replicates = 6×3 = 18.", "strategy": ["Multiply treatments by replicates"], "task_type": "experimental_design", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 18.0, "got": 18.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "18.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "15", "assumptions": [], "concept_id": "science.method", "constraints": ["One unit per replicate", "No blocking factor in this count"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-exp-5-3-3-d70a8b0a096d", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.9}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["treatments=5", "replicates=3"], "plan": ["Multiply treatments by replicates"], "prompt": "You will test 5 fertilizer treatments with 3 independent replicates each, fully randomized. How many experimental units do you need?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "units = treatments × replicates = 5×3 = 15.", "strategy": ["Multiply treatments by replicates"], "task_type": "experimental_design", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 15.0, "got": 15.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "15.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "24", "assumptions": [], "concept_id": "science.method", "constraints": ["One unit per replicate", "No blocking factor in this count"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-exp-6-4-4-31d978ad8dcf", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.9}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["treatments=6", "replicates=4"], "plan": ["Multiply treatments by replicates"], "prompt": "You will test 6 fertilizer treatments with 4 independent replicates each, fully randomized. How many experimental units do you need?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "units = treatments × replicates = 6×4 = 24.", "strategy": ["Multiply treatments by replicates"], "task_type": "experimental_design", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 24.0, "got": 24.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "24.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20", "assumptions": [], "concept_id": "science.method", "constraints": ["One unit per replicate", "No blocking factor in this count"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-exp-4-5-5-38127b09e4fa", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.6, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.9}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["treatments=4", "replicates=5"], "plan": ["Multiply treatments by replicates"], "prompt": "You will test 4 fertilizer treatments with 5 independent replicates each, fully randomized. How many experimental units do you need?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "units = treatments × replicates = 4×5 = 20.", "strategy": ["Multiply treatments by replicates"], "task_type": "experimental_design", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20.0, "got": 20.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1870.65", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-3-300-4-d17945a545d4", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=3", "T=300 K", "V=4 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=3 mol, T=300 K, V=4 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 3*8.314*300/4 = 1870.65.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1870.65, "got": 1870.65}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1870.65", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "453.9444", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-273-10-3c70a2e5cea1", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2", "T=273 K", "V=10 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=273 K, V=10 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2*8.314*273/10 = 453.94440000000003.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 453.94440000000003, "got": 453.94440000000003}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "453.94440000000003", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "415.7", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-1-250-5-449e166c8947", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=1", "T=250 K", "V=5 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=1 mol, T=250 K, V=5 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 1*8.314*250/5 = 415.7.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 415.7, "got": 415.7}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "415.7", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3741.3", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-3-300-2-d47a520bf57c", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=3", "T=300 K", "V=2 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=3 mol, T=300 K, V=2 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 3*8.314*300/2 = 3741.3.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3741.3, "got": 3741.3}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3741.3", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2182.425", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-3-350-4-48c42cc74003", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=3", "T=350 K", "V=4 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=3 mol, T=350 K, V=4 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 3*8.314*350/4 = 2182.425.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2182.425, "got": 2182.425}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2182.425", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5819.8", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-350-1-8b1a824c4848", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2", "T=350 K", "V=1 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=350 K, V=1 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2*8.314*350/1 = 5819.8.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5819.8, "got": 5819.8}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5819.8", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2269.722", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-273-2-c735ae07893a", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2", "T=273 K", "V=2 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=273 K, V=2 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2*8.314*273/2 = 2269.722.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2269.722, "got": 2269.722}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2269.722", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "581.98", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-350-10-9fe3d8099e78", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2", "T=350 K", "V=10 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=350 K, V=10 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2*8.314*350/10 = 581.98.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 581.98, "got": 581.98}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "581.98", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1361.8332", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-3-273-5-d001eaab680e", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=3", "T=273 K", "V=5 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=3 mol, T=273 K, V=5 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 3*8.314*273/5 = 1361.8332.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1361.8332, "got": 1361.8332}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1361.8332", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2494.2", "assumptions": [], "concept_id": null, "constraints": ["Ideal gas", "SI units"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-gas-2-300-2-807595effea7", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.5, "tests": 0.0, "total": 4.35}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2", "T=300 K", "V=2 m^3"], "plan": ["Write PV=nRT", "Solve for P"], "prompt": "An ideal gas has n=2 mol, T=300 K, V=2 m^3. Using R=8.314 J/(mol·K), what is P in pascals from PV=nRT?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "P = nRT/V = 2*8.314*300/2 = 2494.2.", "strategy": ["Write PV=nRT", "Solve for P"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2494.2, "got": 2494.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2494.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4.5", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-18-4-d9fe408c23ba", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=18 kg", "V=4 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 18 kg and volume 4 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 18/4 = 4.5.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4.5, "got": 4.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "14", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-7-0-5-5ce886690f6f", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=7 kg", "V=0.5 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 7 kg and volume 0.5 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 7/0.5 = 14.0.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 14.0, "got": 14.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "14.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2.2", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-11-5-5483770cd1af", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=11 kg", "V=5 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 11 kg and volume 5 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 11/5 = 2.2.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2.2, "got": 2.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "24", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-12-0-5-97a686825f35", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=12 kg", "V=0.5 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 12 kg and volume 0.5 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 12/0.5 = 24.0.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 24.0, "got": 24.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "24.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4.5", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-9-2-039693976909", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=9 kg", "V=2 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 9 kg and volume 2 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 9/2 = 4.5.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4.5, "got": 4.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "9", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-9-1-6c45fa1edbef", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=9 kg", "V=1 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 9 kg and volume 1 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 9/1 = 9.0.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 9.0, "got": 9.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "9.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "12", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-6-0-5-60773bf3f5e8", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=6 kg", "V=0.5 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 6 kg and volume 0.5 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 6/0.5 = 12.0.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 12.0, "got": 12.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "12.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-3-1-a40c1273b4d0", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=3 kg", "V=1 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 3 kg and volume 1 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 3/1 = 3.0.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.0, "got": 3.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.4", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-17-5-42c3b4e431e4", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=17 kg", "V=5 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 17 kg and volume 5 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 17/5 = 3.4.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.4, "got": 3.4}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.4", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform density", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dens-4-4-902aeabb9ea1", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.425}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=4 kg", "V=4 m^3"], "plan": ["Divide mass by volume"], "prompt": "A sample has mass 4 kg and volume 4 m^3. What is its density in kg/m^3?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "ρ = m/V = 4/4 = 1.0.", "strategy": ["Divide mass by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.0, "got": 1.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "17.14285714", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-12-40-af3dfe9c25ad", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=12 cm", "u=40 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=12 cm. A real object is u=40 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/12 - 1/40 so v = 17.142857142857146.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 17.142857142857146, "got": 17.142857142857146}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "17.142857142857146", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "10.90909091", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-8-30-c14a8e43a1fd", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=8 cm", "u=30 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=8 cm. A real object is u=30 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/8 - 1/30 so v = 10.909090909090908.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 10.909090909090908, "got": 10.909090909090908}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "10.909090909090908", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-12-30-f623058da966", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=12 cm", "u=30 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=12 cm. A real object is u=30 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/12 - 1/30 so v = 20.0.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20.0, "got": 20.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "13.33333333", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-8-20-75343c815502", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=8 cm", "u=20 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=8 cm. A real object is u=20 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/8 - 1/20 so v = 13.333333333333334.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 13.333333333333334, "got": 13.333333333333334}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "13.333333333333334", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "7.5", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-5-15-9fde79cb2737", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=5 cm", "u=15 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=5 cm. A real object is u=15 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/5 - 1/15 so v = 7.499999999999998.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 7.499999999999998, "got": 7.499999999999998}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "7.499999999999998", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "30", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-12-20-85734de18584", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=12 cm", "u=20 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=12 cm. A real object is u=20 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/12 - 1/20 so v = 30.000000000000007.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 30.000000000000007, "got": 30.000000000000007}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "30.000000000000007", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "10", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-8-40-d9be1fe2575a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=8 cm", "u=40 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=8 cm. A real object is u=40 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/8 - 1/40 so v = 10.0.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 10.0, "got": 10.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "10.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "60", "assumptions": [], "concept_id": "python.classes", "constraints": ["Thin-lens equation", "Positive real-object distances"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lens-12-15-f025fbe57600", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 1.375, "observations": 0.6, "plan": 0.8, "prompt_length": 0.7, "tests": 0.0, "total": 4.875}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=12 cm", "u=15 cm"], "plan": ["Rearrange 1/f=1/v+1/u", "Compute v"], "prompt": "A thin converging lens has f=12 cm. A real object is u=15 cm away. Using 1/f = 1/v + 1/u with positive distances, what is v in cm?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/v = 1/f - 1/u = 1/12 - 1/15 so v = 60.000000000000014.", "strategy": ["Rearrange 1/f=1/v+1/u", "Compute v"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 60.000000000000014, "got": 60.000000000000014}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "60.000000000000014", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.973835306", "assumptions": [], "concept_id": "science.waves", "constraints": ["Small-angle pendulum", "g=10"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-pend-4-0-455971c4bbbd", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.3, "plan": 0.8, "prompt_length": 0.45, "tests": 0.0, "total": 3.325}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["L=4 m"], "plan": ["Write T=2π√(L/g)", "Substitute"], "prompt": "A simple pendulum has length 4 m. Take g=10 m/s2 and T=2π√(L/g). What is the period in seconds?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T=2π√(4/10) = 3.9738353063184406.", "strategy": ["Write T=2π√(L/g)", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.9738353063184406, "got": 3.9738353063184406}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.9738353063184406", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.884955592", "assumptions": [], "concept_id": "science.waves", "constraints": ["Small-angle pendulum", "g=10"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-pend-0-9-b561cdcf7035", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.3, "plan": 0.8, "prompt_length": 0.45, "tests": 0.0, "total": 3.325}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["L=0.9 m"], "plan": ["Write T=2π√(L/g)", "Substitute"], "prompt": "A simple pendulum has length 0.9 m. Take g=10 m/s2 and T=2π√(L/g). What is the period in seconds?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T=2π√(0.9/10) = 1.8849555921538759.", "strategy": ["Write T=2π√(L/g)", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.8849555921538759, "got": 1.8849555921538759}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.8849555921538759", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.256637061", "assumptions": [], "concept_id": "science.waves", "constraints": ["Small-angle pendulum", "g=10"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-pend-0-4-ae3c669c3ec1", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.3, "plan": 0.8, "prompt_length": 0.45, "tests": 0.0, "total": 3.325}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["L=0.4 m"], "plan": ["Write T=2π√(L/g)", "Substitute"], "prompt": "A simple pendulum has length 0.4 m. Take g=10 m/s2 and T=2π√(L/g). What is the period in seconds?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T=2π√(0.4/10) = 1.2566370614359172.", "strategy": ["Write T=2π√(L/g)", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.2566370614359172, "got": 1.2566370614359172}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.2566370614359172", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.141592654", "assumptions": [], "concept_id": "science.waves", "constraints": ["Small-angle pendulum", "g=10"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-pend-2-5-c557baba15f9", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.3, "plan": 0.8, "prompt_length": 0.45, "tests": 0.0, "total": 3.325}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["L=2.5 m"], "plan": ["Write T=2π√(L/g)", "Substitute"], "prompt": "A simple pendulum has length 2.5 m. Take g=10 m/s2 and T=2π√(L/g). What is the period in seconds?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T=2π√(2.5/10) = 3.141592653589793.", "strategy": ["Write T=2π√(L/g)", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.141592653589793, "got": 3.141592653589793}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.141592653589793", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4.002e-05", "assumptions": [], "concept_id": "science.newton", "constraints": ["Point masses", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-grav-500000-0-300000-0-500-0-4fb11fbf3256", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.55, "tests": 0.0, "total": 4.2749999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m1=500000", "m2=300000", "r=500"], "plan": ["Write Newton's gravity law", "Substitute"], "prompt": "Two point masses 500000 kg and 300000 kg are 500 m apart. Using G=6.67e-11, what is the Newtonian force magnitude in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=G m1 m2 / r^2 = 4.001999999999999e-05.", "strategy": ["Write Newton's gravity law", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4.001999999999999e-05, "got": 4.001999999999999e-05}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4.001999999999999e-05", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.0002001", "assumptions": [], "concept_id": "science.newton", "constraints": ["Point masses", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-grav-800000-0-600000-0-400-0-9bfa362edf51", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.55, "tests": 0.0, "total": 4.0249999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m1=800000", "m2=600000", "r=400"], "plan": ["Write Newton's gravity law", "Substitute"], "prompt": "Two point masses 800000 kg and 600000 kg are 400 m apart. Using G=6.67e-11, what is the Newtonian force magnitude in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=G m1 m2 / r^2 = 0.00020009999999999998.", "strategy": ["Write Newton's gravity law", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.00020009999999999998, "got": 0.00020009999999999998}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.00020009999999999998", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.00010005", "assumptions": [], "concept_id": "science.newton", "constraints": ["Point masses", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-grav-400000-0-600000-0-400-0-3d132fccabc2", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.55, "tests": 0.0, "total": 4.0249999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m1=400000", "m2=600000", "r=400"], "plan": ["Write Newton's gravity law", "Substitute"], "prompt": "Two point masses 400000 kg and 600000 kg are 400 m apart. Using G=6.67e-11, what is the Newtonian force magnitude in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=G m1 m2 / r^2 = 0.00010004999999999999.", "strategy": ["Write Newton's gravity law", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.00010004999999999999, "got": 0.00010004999999999999}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.00010004999999999999", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.0004002", "assumptions": [], "concept_id": "science.newton", "constraints": ["Point masses", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-grav-800000-0-300000-0-200-0-4698e42d9027", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.55, "tests": 0.0, "total": 4.0249999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m1=800000", "m2=300000", "r=200"], "plan": ["Write Newton's gravity law", "Substitute"], "prompt": "Two point masses 800000 kg and 300000 kg are 200 m apart. Using G=6.67e-11, what is the Newtonian force magnitude in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=G m1 m2 / r^2 = 0.00040019999999999997.", "strategy": ["Write Newton's gravity law", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.00040019999999999997, "got": 0.00040019999999999997}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.00040019999999999997", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.0001250625", "assumptions": [], "concept_id": "science.newton", "constraints": ["Point masses", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-grav-500000-0-600000-0-400-0-f9d19656ded4", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.55, "tests": 0.0, "total": 4.0249999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m1=500000", "m2=600000", "r=400"], "plan": ["Write Newton's gravity law", "Substitute"], "prompt": "Two point masses 500000 kg and 600000 kg are 400 m apart. Using G=6.67e-11, what is the Newtonian force magnitude in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=G m1 m2 / r^2 = 0.00012506249999999998.", "strategy": ["Write Newton's gravity law", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.00012506249999999998, "got": 0.00012506249999999998}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.00012506249999999998", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5.0025e-05", "assumptions": [], "concept_id": "science.newton", "constraints": ["Point masses", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-grav-400000-0-300000-0-400-0-27582bda7b1f", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.55, "tests": 0.0, "total": 4.2749999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m1=400000", "m2=300000", "r=400"], "plan": ["Write Newton's gravity law", "Substitute"], "prompt": "Two point masses 400000 kg and 300000 kg are 400 m apart. Using G=6.67e-11, what is the Newtonian force magnitude in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=G m1 m2 / r^2 = 5.0024999999999996e-05.", "strategy": ["Write Newton's gravity law", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5.0024999999999996e-05, "got": 5.0024999999999996e-05}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5.0024999999999996e-05", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5.0025e-05", "assumptions": [], "concept_id": "science.newton", "constraints": ["Point masses", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-grav-200000-0-600000-0-400-0-f851b4e221fe", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.8, "prompt_length": 0.55, "tests": 0.0, "total": 4.2749999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m1=200000", "m2=600000", "r=400"], "plan": ["Write Newton's gravity law", "Substitute"], "prompt": "Two point masses 200000 kg and 600000 kg are 400 m apart. Using G=6.67e-11, what is the Newtonian force magnitude in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=G m1 m2 / r^2 = 5.0024999999999996e-05.", "strategy": ["Write Newton's gravity law", "Substitute"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5.0024999999999996e-05, "got": 5.0024999999999996e-05}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5.0024999999999996e-05", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4", "assumptions": [], "concept_id": null, "constraints": ["Molarity is moles per litre of solution"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-mol-1-0-0-25-be54f1199aab", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.4999999999999996}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=1 mol", "V=0.25 L"], "plan": ["Divide moles by volume"], "prompt": "1 mol of solute is dissolved to 0.25 L of solution. What is the molarity in mol/L?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M = n/V = 1/0.25 = 4.0.", "strategy": ["Divide moles by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4.0, "got": 4.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1", "assumptions": [], "concept_id": null, "constraints": ["Molarity is moles per litre of solution"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-mol-0-5-0-5-bff8fa6c6b0d", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.4999999999999996}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.5 mol", "V=0.5 L"], "plan": ["Divide moles by volume"], "prompt": "0.5 mol of solute is dissolved to 0.5 L of solution. What is the molarity in mol/L?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M = n/V = 0.5/0.5 = 1.0.", "strategy": ["Divide moles by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.0, "got": 1.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.25", "assumptions": [], "concept_id": null, "constraints": ["Molarity is moles per litre of solution"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-mol-0-5-2-0-13c484459170", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.4999999999999996}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.5 mol", "V=2 L"], "plan": ["Divide moles by volume"], "prompt": "0.5 mol of solute is dissolved to 2 L of solution. What is the molarity in mol/L?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M = n/V = 0.5/2 = 0.25.", "strategy": ["Divide moles by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.25, "got": 0.25}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.25", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.125", "assumptions": [], "concept_id": null, "constraints": ["Molarity is moles per litre of solution"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-mol-0-25-2-0-48d38d45b403", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.4999999999999996}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.25 mol", "V=2 L"], "plan": ["Divide moles by volume"], "prompt": "0.25 mol of solute is dissolved to 2 L of solution. What is the molarity in mol/L?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M = n/V = 0.25/2 = 0.125.", "strategy": ["Divide moles by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.125, "got": 0.125}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.125", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2", "assumptions": [], "concept_id": null, "constraints": ["Molarity is moles per litre of solution"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-mol-2-0-1-0-ca9c248224c6", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.4999999999999996}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2 mol", "V=1 L"], "plan": ["Divide moles by volume"], "prompt": "2 mol of solute is dissolved to 1 L of solution. What is the molarity in mol/L?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M = n/V = 2/1 = 2.0.", "strategy": ["Divide moles by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2.0, "got": 2.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1", "assumptions": [], "concept_id": null, "constraints": ["Molarity is moles per litre of solution"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-mol-2-0-2-0-303f248ef12b", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.4999999999999996}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=2 mol", "V=2 L"], "plan": ["Divide moles by volume"], "prompt": "2 mol of solute is dissolved to 2 L of solution. What is the molarity in mol/L?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M = n/V = 2/2 = 1.0.", "strategy": ["Divide moles by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.0, "got": 1.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.5", "assumptions": [], "concept_id": null, "constraints": ["Molarity is moles per litre of solution"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-mol-0-25-0-5-2ac226835fcd", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.375, "observations": 0.6, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.4999999999999996}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n=0.25 mol", "V=0.5 L"], "plan": ["Divide moles by volume"], "prompt": "0.25 mol of solute is dissolved to 0.5 L of solution. What is the molarity in mol/L?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "M = n/V = 0.25/0.5 = 0.5.", "strategy": ["Divide moles by volume"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.5, "got": 0.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.415625", "assumptions": [], "concept_id": null, "constraints": ["Given sines, not angles"], "context": {"field": "optics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-snell-1-33-1-6-0-5-305771c4947c", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.55}, "field": "optics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n1=1.33", "n2=1.6", "sinθ1=0.5"], "plan": ["Solve Snell for sin θ2"], "prompt": "Snell's law: n1 sin θ1 = n2 sin θ2. n1=1.33, n2=1.6, sin θ1=0.5. What is sin θ2?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "sin θ2 = n1 sin θ1 / n2 = 0.415625.", "strategy": ["Solve Snell for sin θ2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.415625, "got": 0.415625}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.415625", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.25", "assumptions": [], "concept_id": null, "constraints": ["Given sines, not angles"], "context": {"field": "optics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-snell-1-0-1-6-0-4-b9815c7e44af", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.55}, "field": "optics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n1=1.0", "n2=1.6", "sinθ1=0.4"], "plan": ["Solve Snell for sin θ2"], "prompt": "Snell's law: n1 sin θ1 = n2 sin θ2. n1=1, n2=1.6, sin θ1=0.4. What is sin θ2?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "sin θ2 = n1 sin θ1 / n2 = 0.25.", "strategy": ["Solve Snell for sin θ2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.25, "got": 0.25}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.25", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.1875", "assumptions": [], "concept_id": null, "constraints": ["Given sines, not angles"], "context": {"field": "optics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-snell-1-0-1-6-0-3-f9b1ed2c16c7", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.55}, "field": "optics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n1=1.0", "n2=1.6", "sinθ1=0.3"], "plan": ["Solve Snell for sin θ2"], "prompt": "Snell's law: n1 sin θ1 = n2 sin θ2. n1=1, n2=1.6, sin θ1=0.3. What is sin θ2?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "sin θ2 = n1 sin θ1 / n2 = 0.18749999999999997.", "strategy": ["Solve Snell for sin θ2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.18749999999999997, "got": 0.18749999999999997}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.18749999999999997", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.3325", "assumptions": [], "concept_id": null, "constraints": ["Given sines, not angles"], "context": {"field": "optics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-snell-1-33-1-6-0-4-821edc5f1752", "metadata": {"difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.425, "tests": 0.0, "total": 2.55}, "field": "optics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["n1=1.33", "n2=1.6", "sinθ1=0.4"], "plan": ["Solve Snell for sin θ2"], "prompt": "Snell's law: n1 sin θ1 = n2 sin θ2. n1=1.33, n2=1.6, sin θ1=0.4. What is sin θ2?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "sin θ2 = n1 sin θ1 / n2 = 0.3325.", "strategy": ["Solve Snell for sin θ2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.3325, "got": 0.3325}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.3325", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5", "assumptions": [], "concept_id": "math.statistics", "constraints": ["Exact half-lives", "No background"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-80-4-063b7aab74dc", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.6}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=80", "half-lives=4"], "plan": ["Divide by 2 once per half-life"], "prompt": "A sample starts at 80 units. After 4 half-lives, how many units remain (exponential decay, integer-power of two)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 / 2^h = 80/2^4 = 5.0.", "strategy": ["Divide by 2 once per half-life"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5.0, "got": 5.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "10", "assumptions": [], "concept_id": "math.statistics", "constraints": ["Exact half-lives", "No background"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-160-4-c13c9e090a6b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.6}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=160", "half-lives=4"], "plan": ["Divide by 2 once per half-life"], "prompt": "A sample starts at 160 units. After 4 half-lives, how many units remain (exponential decay, integer-power of two)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 / 2^h = 160/2^4 = 10.0.", "strategy": ["Divide by 2 once per half-life"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 10.0, "got": 10.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "10.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "80", "assumptions": [], "concept_id": "math.statistics", "constraints": ["Exact half-lives", "No background"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-320-2-84ee8c1a5723", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.6}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=320", "half-lives=2"], "plan": ["Divide by 2 once per half-life"], "prompt": "A sample starts at 320 units. After 2 half-lives, how many units remain (exponential decay, integer-power of two)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 / 2^h = 320/2^2 = 80.0.", "strategy": ["Divide by 2 once per half-life"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 80.0, "got": 80.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "80.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "40", "assumptions": [], "concept_id": "math.statistics", "constraints": ["Exact half-lives", "No background"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-160-2-6ce9c331eccd", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.6}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=160", "half-lives=2"], "plan": ["Divide by 2 once per half-life"], "prompt": "A sample starts at 160 units. After 2 half-lives, how many units remain (exponential decay, integer-power of two)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 / 2^h = 160/2^2 = 40.0.", "strategy": ["Divide by 2 once per half-life"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 40.0, "got": 40.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "40.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "160", "assumptions": [], "concept_id": "math.statistics", "constraints": ["Exact half-lives", "No background"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-320-1-fae14184906a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.6}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=320", "half-lives=1"], "plan": ["Divide by 2 once per half-life"], "prompt": "A sample starts at 320 units. After 1 half-lives, how many units remain (exponential decay, integer-power of two)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 / 2^h = 320/2^1 = 160.0.", "strategy": ["Divide by 2 once per half-life"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 160.0, "got": 160.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "160.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "80", "assumptions": [], "concept_id": "math.statistics", "constraints": ["Exact half-lives", "No background"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-hl-160-1-8ef09fc7302c", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.6}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["N0=160", "half-lives=1"], "plan": ["Divide by 2 once per half-life"], "prompt": "A sample starts at 160 units. After 1 half-lives, how many units remain (exponential decay, integer-power of two)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "N = N0 / 2^h = 160/2^1 = 80.0.", "strategy": ["Divide by 2 once per half-life"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 80.0, "got": 80.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "80.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3/4", "assumptions": [], "concept_id": "science.genetics", "constraints": ["Mendelian, independent, complete dominance"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-punnett-hetero-mono-0-3287e2854a11", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.5, "observations": 0.3, "plan": 0.8, "prompt_length": 0.4, "tests": 0.0, "total": 2.7}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["hetero_mono"], "plan": ["Draw Punnett", "Count matching genotypes"], "prompt": "Aa × Aa, complete dominance. What is P(dominant phenotype) as a reduced fraction a/b? Report a/b.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "3/4 of the Punnett cells match.", "strategy": ["Draw Punnett", "Count matching genotypes"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.75, "got": 0.75}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.75", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1/2", "assumptions": [], "concept_id": "math.arithmetic", "constraints": ["Mendelian, independent, complete dominance"], "context": {"field": "biology", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-punnett-testcross-2-5fc3d34cc237", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.5, "observations": 0.3, "plan": 0.8, "prompt_length": 0.425, "tests": 0.0, "total": 2.725}, "field": "biology", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["testcross"], "plan": ["Draw Punnett", "Count matching genotypes"], "prompt": "Aa × aa testcross, complete dominance. What is P(recessive phenotype) as a reduced fraction a/b? Report a/b.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "1/2 of the Punnett cells match.", "strategy": ["Draw Punnett", "Count matching genotypes"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.5, "got": 0.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "9000", "assumptions": [], "concept_id": "science.newton", "constraints": ["No phase change"], "context": {"field": "thermodynamics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-q-1-0-900-10-170c940d9a6a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.325, "tests": 0.0, "total": 2.45}, "field": "thermodynamics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=1.0", "c=900", "dT=10"], "plan": ["Multiply m c ΔT"], "prompt": "Q=mcΔT. Mass 1 kg, c=900 J/(kg·K), ΔT=10 K. What is Q in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=1·900·10=9000.0.", "strategy": ["Multiply m c ΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 9000.0, "got": 9000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "9000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4500", "assumptions": [], "concept_id": "science.newton", "constraints": ["No phase change"], "context": {"field": "thermodynamics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-q-1-0-900-5-85fa07f56b36", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.325, "tests": 0.0, "total": 2.45}, "field": "thermodynamics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=1.0", "c=900", "dT=5"], "plan": ["Multiply m c ΔT"], "prompt": "Q=mcΔT. Mass 1 kg, c=900 J/(kg·K), ΔT=5 K. What is Q in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=1·900·5=4500.0.", "strategy": ["Multiply m c ΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4500.0, "got": 4500.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4500.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "83600", "assumptions": [], "concept_id": "science.newton", "constraints": ["No phase change"], "context": {"field": "thermodynamics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-q-1-0-4180-20-92ec518fa650", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.325, "tests": 0.0, "total": 2.45}, "field": "thermodynamics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=1.0", "c=4180", "dT=20"], "plan": ["Multiply m c ΔT"], "prompt": "Q=mcΔT. Mass 1 kg, c=4180 J/(kg·K), ΔT=20 K. What is Q in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=1·4180·20=83600.0.", "strategy": ["Multiply m c ΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 83600.0, "got": 83600.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "83600.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "83600", "assumptions": [], "concept_id": "science.newton", "constraints": ["No phase change"], "context": {"field": "thermodynamics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-q-2-0-4180-10-45ab264f32af", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.325, "tests": 0.0, "total": 2.45}, "field": "thermodynamics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2.0", "c=4180", "dT=10"], "plan": ["Multiply m c ΔT"], "prompt": "Q=mcΔT. Mass 2 kg, c=4180 J/(kg·K), ΔT=10 K. What is Q in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=2·4180·10=83600.0.", "strategy": ["Multiply m c ΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 83600.0, "got": 83600.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "83600.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "967.5", "assumptions": [], "concept_id": "science.newton", "constraints": ["No phase change"], "context": {"field": "thermodynamics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-q-0-5-387-5-3f67aee11517", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.325, "tests": 0.0, "total": 2.45}, "field": "thermodynamics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.5", "c=387", "dT=5"], "plan": ["Multiply m c ΔT"], "prompt": "Q=mcΔT. Mass 0.5 kg, c=387 J/(kg·K), ΔT=5 K. What is Q in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=0.5·387·5=967.5.", "strategy": ["Multiply m c ΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 967.5, "got": 967.5}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "967.5", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "41800", "assumptions": [], "concept_id": "science.newton", "constraints": ["No phase change"], "context": {"field": "thermodynamics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-q-2-0-4180-5-7f3d51f43974", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.325, "tests": 0.0, "total": 2.45}, "field": "thermodynamics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2.0", "c=4180", "dT=5"], "plan": ["Multiply m c ΔT"], "prompt": "Q=mcΔT. Mass 2 kg, c=4180 J/(kg·K), ΔT=5 K. What is Q in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=2·4180·5=41800.0.", "strategy": ["Multiply m c ΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 41800.0, "got": 41800.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "41800.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "10450", "assumptions": [], "concept_id": "science.newton", "constraints": ["No phase change"], "context": {"field": "thermodynamics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-q-0-5-4180-5-f59bd094b7b3", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.325, "tests": 0.0, "total": 2.45}, "field": "thermodynamics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.5", "c=4180", "dT=5"], "plan": ["Multiply m c ΔT"], "prompt": "Q=mcΔT. Mass 0.5 kg, c=4180 J/(kg·K), ΔT=5 K. What is Q in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=0.5·4180·5=10450.0.", "strategy": ["Multiply m c ΔT"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 10450.0, "got": 10450.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "10450.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20", "assumptions": [], "concept_id": "science.newton", "constraints": ["Fully submerged", "Fresh water"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-buoy-0-002-2c93dd1da97a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.3, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.85}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["V=0.002"], "plan": ["Write F=ρVg"], "prompt": "Archimedes: a fully submerged volume 0.002 m3 in freshwater (ρ=1000 kg/m3), g=10 m/s2. What is the buoyant force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=ρVg=1000·0.002·10=20.0.", "strategy": ["Write F=ρVg"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20.0, "got": 20.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "50", "assumptions": [], "concept_id": "science.newton", "constraints": ["Fully submerged", "Fresh water"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-buoy-0-005-21b8e64226e0", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.3, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.85}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["V=0.005"], "plan": ["Write F=ρVg"], "prompt": "Archimedes: a fully submerged volume 0.005 m3 in freshwater (ρ=1000 kg/m3), g=10 m/s2. What is the buoyant force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=ρVg=1000·0.005·10=50.0.", "strategy": ["Write F=ρVg"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 50.0, "got": 50.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "50.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "100", "assumptions": [], "concept_id": "science.newton", "constraints": ["Fully submerged", "Fresh water"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-buoy-0-01-399d569da5ca", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.3, "plan": 0.4, "prompt_length": 0.5, "tests": 0.0, "total": 2.85}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["V=0.01"], "plan": ["Write F=ρVg"], "prompt": "Archimedes: a fully submerged volume 0.01 m3 in freshwater (ρ=1000 kg/m3), g=10 m/s2. What is the buoyant force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=ρVg=1000·0.01·10=100.0.", "strategy": ["Write F=ρVg"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 100.0, "got": 100.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "100.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.9756e-19", "assumptions": [], "concept_id": "science.energy", "constraints": ["Single photon", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-phot-600000000000000-0-dce334949115", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.3, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.25}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=6e+14"], "plan": ["Multiply h by f"], "prompt": "A photon has frequency 6e+14 Hz. Using E=hf and h=6.626e-34 J·s, what is E in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "E=hf=6.626e-34·6e+14=3.9756e-19.", "strategy": ["Multiply h by f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.9756e-19, "got": 3.9756e-19}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.9756e-19", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "6.626e-19", "assumptions": [], "concept_id": "science.energy", "constraints": ["Single photon", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-phot-1000000000000000-0-54855c1990d1", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.3, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.25}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=1e+15"], "plan": ["Multiply h by f"], "prompt": "A photon has frequency 1e+15 Hz. Using E=hf and h=6.626e-34 J·s, what is E in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "E=hf=6.626e-34·1e+15=6.625999999999999e-19.", "strategy": ["Multiply h by f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 6.625999999999999e-19, "got": 6.625999999999999e-19}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "6.625999999999999e-19", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.313e-19", "assumptions": [], "concept_id": "science.energy", "constraints": ["Single photon", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-phot-500000000000000-0-a6f360f1e129", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.75, "observations": 0.3, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.25}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=5e+14"], "plan": ["Multiply h by f"], "prompt": "A photon has frequency 5e+14 Hz. Using E=hf and h=6.626e-34 J·s, what is E in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "E=hf=6.626e-34·5e+14=3.3129999999999997e-19.", "strategy": ["Multiply h by f"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.3129999999999997e-19, "got": 3.3129999999999997e-19}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.3129999999999997e-19", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.2", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as given"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-2-0-0-1-1-0-075fcf4c08e8", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.65}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["C1=2.0", "V1=0.1", "V2=1.0"], "plan": ["Solve C1V1=C2V2 for C2"], "prompt": "Dilute 0.1 L of 2 mol/L solution to 1 L. What is the new concentration in mol/L (C1V1=C2V2)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "C2=C1V1/V2=2·0.1/1=0.2.", "strategy": ["Solve C1V1=C2V2 for C2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.2, "got": 0.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as given"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-2-0-0-25-0-5-407258cf0636", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.65}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["C1=2.0", "V1=0.25", "V2=0.5"], "plan": ["Solve C1V1=C2V2 for C2"], "prompt": "Dilute 0.25 L of 2 mol/L solution to 0.5 L. What is the new concentration in mol/L (C1V1=C2V2)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "C2=C1V1/V2=2·0.25/0.5=1.0.", "strategy": ["Solve C1V1=C2V2 for C2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.0, "got": 1.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.75", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as given"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-6-0-0-25-2-0-b9e8d2570e1c", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.65}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["C1=6.0", "V1=0.25", "V2=2.0"], "plan": ["Solve C1V1=C2V2 for C2"], "prompt": "Dilute 0.25 L of 6 mol/L solution to 2 L. What is the new concentration in mol/L (C1V1=C2V2)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "C2=C1V1/V2=6·0.25/2=0.75.", "strategy": ["Solve C1V1=C2V2 for C2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.75, "got": 0.75}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.75", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as given"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-10-0-0-2-2-0-1fedc8b571a6", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.65}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["C1=10.0", "V1=0.2", "V2=2.0"], "plan": ["Solve C1V1=C2V2 for C2"], "prompt": "Dilute 0.2 L of 10 mol/L solution to 2 L. What is the new concentration in mol/L (C1V1=C2V2)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "C2=C1V1/V2=10·0.2/2=1.0.", "strategy": ["Solve C1V1=C2V2 for C2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.0, "got": 1.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.2", "assumptions": [], "concept_id": null, "constraints": ["Conservative solute", "Volumes additive as given"], "context": {"field": "chemistry", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-dil-4-0-0-1-2-0-213546ddea62", "metadata": {"difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.65}, "field": "chemistry", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["C1=4.0", "V1=0.1", "V2=2.0"], "plan": ["Solve C1V1=C2V2 for C2"], "prompt": "Dilute 0.1 L of 4 mol/L solution to 2 L. What is the new concentration in mol/L (C1V1=C2V2)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "C2=C1V1/V2=4·0.1/2=0.2.", "strategy": ["Solve C1V1=C2V2 for C2"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.2, "got": 0.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "53", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Linear calibration", "No noise term in this item"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-model-7-4-7-0-e812bc8fd125", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.3499999999999996}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=7", "b=4", "x=7"], "plan": ["Substitute into the affine model"], "prompt": "A calibrated sensor is modeled as y=7x+4. If the reading x=7, what is the modeled y?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "y=7·7+4=53.", "strategy": ["Substitute into the affine model"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 53.0, "got": 53.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "53.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "39", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Linear calibration", "No noise term in this item"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-model-7-3-6-1-7cd187859606", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.5999999999999996}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=7", "b=-3", "x=6"], "plan": ["Substitute into the affine model"], "prompt": "A calibrated sensor is modeled as y=7x+-3. If the reading x=6, what is the modeled y?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "y=7·6+-3=39.", "strategy": ["Substitute into the affine model"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 39.0, "got": 39.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "39.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "18", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Linear calibration", "No noise term in this item"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-model-2-2-8-2-762e48145d64", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.3499999999999996}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2", "b=2", "x=8"], "plan": ["Substitute into the affine model"], "prompt": "A calibrated sensor is modeled as y=2x+2. If the reading x=8, what is the modeled y?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "y=2·8+2=18.", "strategy": ["Substitute into the affine model"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 18.0, "got": 18.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "18.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Linear calibration", "No noise term in this item"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-model-3-2-6-3-15c47650ab17", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.3499999999999996}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=3", "b=2", "x=6"], "plan": ["Substitute into the affine model"], "prompt": "A calibrated sensor is modeled as y=3x+2. If the reading x=6, what is the modeled y?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "y=3·6+2=20.", "strategy": ["Substitute into the affine model"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20.0, "got": 20.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "61", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Linear calibration", "No noise term in this item"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-model-9-2-7-4-f8b89a2aa592", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.5999999999999996}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=9", "b=-2", "x=7"], "plan": ["Substitute into the affine model"], "prompt": "A calibrated sensor is modeled as y=9x+-2. If the reading x=7, what is the modeled y?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "y=9·7+-2=61.", "strategy": ["Substitute into the affine model"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 61.0, "got": 61.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "61.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "24", "assumptions": [], "concept_id": "python.conditionals", "constraints": ["Linear calibration", "No noise term in this item"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-model-4-4-5-5-f10d42c576c1", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.25, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.4, "tests": 0.0, "total": 3.3499999999999996}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=4", "b=4", "x=5"], "plan": ["Substitute into the affine model"], "prompt": "A calibrated sensor is modeled as y=4x+4. If the reading x=5, what is the modeled y?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "y=4·5+4=24.", "strategy": ["Substitute into the affine model"], "task_type": "modeling", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 24.0, "got": 24.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "24.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2.4", "assumptions": [], "concept_id": "cs.data_structures", "constraints": ["Straight line", "Speed is the slope"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-slope-12-5-0-eda675a1583e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.525, "tests": 0.0, "total": 3.55}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["dy=12 m", "dx=5 s"], "plan": ["Divide rise by run"], "prompt": "On a distance-time graph, distance rises 12 m over 5 s of straight-line motion. What is the constant speed in m/s?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "speed = Δs/Δt = 12/5 = 2.4.", "strategy": ["Divide rise by run"], "task_type": "interpretation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2.4, "got": 2.4}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2.4", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3", "assumptions": [], "concept_id": "cs.data_structures", "constraints": ["Straight line", "Speed is the slope"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-slope-12-4-1-32fab92c0a02", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.525, "tests": 0.0, "total": 3.55}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["dy=12 m", "dx=4 s"], "plan": ["Divide rise by run"], "prompt": "On a distance-time graph, distance rises 12 m over 4 s of straight-line motion. What is the constant speed in m/s?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "speed = Δs/Δt = 12/4 = 3.0.", "strategy": ["Divide rise by run"], "task_type": "interpretation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.0, "got": 3.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2", "assumptions": [], "concept_id": "cs.data_structures", "constraints": ["Straight line", "Speed is the slope"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-slope-10-5-2-dd92a8e02015", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.525, "tests": 0.0, "total": 3.55}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["dy=10 m", "dx=5 s"], "plan": ["Divide rise by run"], "prompt": "On a distance-time graph, distance rises 10 m over 5 s of straight-line motion. What is the constant speed in m/s?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "speed = Δs/Δt = 10/5 = 2.0.", "strategy": ["Divide rise by run"], "task_type": "interpretation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2.0, "got": 2.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2", "assumptions": [], "concept_id": "cs.data_structures", "constraints": ["Straight line", "Speed is the slope"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-slope-8-4-3-2e6daa0033e9", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.525, "tests": 0.0, "total": 3.55}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["dy=8 m", "dx=4 s"], "plan": ["Divide rise by run"], "prompt": "On a distance-time graph, distance rises 8 m over 4 s of straight-line motion. What is the constant speed in m/s?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "speed = Δs/Δt = 8/4 = 2.0.", "strategy": ["Divide rise by run"], "task_type": "interpretation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2.0, "got": 2.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5", "assumptions": [], "concept_id": "cs.data_structures", "constraints": ["Straight line", "Speed is the slope"], "context": {"field": "applied", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-slope-10-2-4-44828c04aaa0", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.525, "tests": 0.0, "total": 3.55}, "field": "applied", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["dy=10 m", "dx=2 s"], "plan": ["Divide rise by run"], "prompt": "On a distance-time graph, distance rises 10 m over 2 s of straight-line motion. What is the constant speed in m/s?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "speed = Δs/Δt = 10/2 = 5.0.", "strategy": ["Divide rise by run"], "task_type": "interpretation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5.0, "got": 5.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "193.6", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-8-11-5-5f5f0e381850", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=11 m/s", "r=5 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 8 kg moves in a horizontal circle of radius 5 m at 11 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 8·112/5 = 193.6.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 193.6, "got": 193.6}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "193.6", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "343", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-7-7-1-afd6006290d0", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=7 kg", "v=7 m/s", "r=1 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 7 kg moves in a horizontal circle of radius 1 m at 7 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 7·72/1 = 343.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 343.0, "got": 343.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "343.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "196", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-8-7-2-3d29ecc05e9e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=7 m/s", "r=2 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 8 kg moves in a horizontal circle of radius 2 m at 7 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 8·72/2 = 196.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 196.0, "got": 196.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "196.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "66.66666667", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-8-5-3-4c1ceb1710ca", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=5 m/s", "r=3 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 8 kg moves in a horizontal circle of radius 3 m at 5 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 8·52/3 = 66.66666666666667.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 66.66666666666667, "got": 66.66666666666667}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "66.66666666666667", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "81.66666667", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-5-7-3-94992d5bd913", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=5 kg", "v=7 m/s", "r=3 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 5 kg moves in a horizontal circle of radius 3 m at 7 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 5·72/3 = 81.66666666666667.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 81.66666666666667, "got": 81.66666666666667}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "81.66666666666667", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "500", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-5-10-1-75feb86b835a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=5 kg", "v=10 m/s", "r=1 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 5 kg moves in a horizontal circle of radius 1 m at 10 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 5·102/1 = 500.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 500.0, "got": 500.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "500.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "18", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-4-3-2-09ad0fe4b34f", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=4 kg", "v=3 m/s", "r=2 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 4 kg moves in a horizontal circle of radius 2 m at 3 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 4·32/2 = 18.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 18.0, "got": 18.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "18.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "113.4", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-7-9-5-675a23d4b4da", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=7 kg", "v=9 m/s", "r=5 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 7 kg moves in a horizontal circle of radius 5 m at 9 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 7·92/5 = 113.4.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 113.4, "got": 113.4}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "113.4", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "54", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-4-9-6-1c9f3c3da003", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=4 kg", "v=9 m/s", "r=6 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 4 kg moves in a horizontal circle of radius 6 m at 9 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 4·92/6 = 54.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 54.0, "got": 54.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "54.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "648", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-8-9-1-8044af99f293", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=9 m/s", "r=1 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 8 kg moves in a horizontal circle of radius 1 m at 9 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 8·92/1 = 648.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 648.0, "got": 648.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "648.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "36", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-2-6-2-73a74ef90058", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=2 kg", "v=6 m/s", "r=2 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 2 kg moves in a horizontal circle of radius 2 m at 6 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 2·62/2 = 36.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 36.0, "got": 36.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "36.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "58.33333333", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-7-5-3-ab3417ad7b44", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=7 kg", "v=5 m/s", "r=3 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 7 kg moves in a horizontal circle of radius 3 m at 5 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 7·52/3 = 58.333333333333336.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 58.333333333333336, "got": 58.333333333333336}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "58.333333333333336", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "97.2", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-6-9-5-ebeb6a864d68", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=6 kg", "v=9 m/s", "r=5 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 6 kg moves in a horizontal circle of radius 5 m at 9 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 6·92/5 = 97.2.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 97.2, "got": 97.2}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "97.2", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "64", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-6-8-6-941f7d4f5abf", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=6 kg", "v=8 m/s", "r=6 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 6 kg moves in a horizontal circle of radius 6 m at 8 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 6·82/6 = 64.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 64.0, "got": 64.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "64.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "49", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-6-7-6-31d1a15f87b6", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=6 kg", "v=7 m/s", "r=6 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 6 kg moves in a horizontal circle of radius 6 m at 7 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 6·72/6 = 49.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 49.0, "got": 49.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "49.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "96", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-8-6-3-961b9578eb75", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=8 kg", "v=6 m/s", "r=3 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 8 kg moves in a horizontal circle of radius 3 m at 6 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 8·62/3 = 96.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 96.0, "got": 96.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "96.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "125", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-5-5-1-e61d3d65b8fd", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=5 kg", "v=5 m/s", "r=1 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 5 kg moves in a horizontal circle of radius 1 m at 5 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 5·52/1 = 125.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 125.0, "got": 125.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "125.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "196", "assumptions": [], "concept_id": "science.newton", "constraints": ["Uniform circular motion", "SI units"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-cent-4-7-1-b7cc1e3dceb6", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.375, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.675}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=4 kg", "v=7 m/s", "r=1 m"], "plan": ["Apply F=mv2/r"], "prompt": "A mass of 4 kg moves in a horizontal circle of radius 1 m at 7 m/s. What is the centripetal force in newtons?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F = mv2/r = 4·72/1 = 196.0.", "strategy": ["Apply F=mv²/r"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 196.0, "got": 196.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "196.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "2.7", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-3e-06-4e-06-0-2-1f5cb667630e", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=3e-06", "q2=4e-06", "r=0.2"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 3e-06 C and 4e-06 C are 0.2 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·1.2e-11/0.04000000000000001 = 2.6999999999999993.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 2.6999999999999993, "got": 2.6999999999999993}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "2.6999999999999993", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.009", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-1e-06-1e-06-1-0-ae3dd1d41f56", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=1e-06", "q2=1e-06", "r=1.0"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 1e-06 C and 1e-06 C are 1.0 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·1e-12/1.0 = 0.009.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.009, "got": 0.009}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.009", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.288", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-2e-06-4e-06-0-5-97907d64e414", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=2e-06", "q2=4e-06", "r=0.5"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 2e-06 C and 4e-06 C are 0.5 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·8e-12/0.25 = 0.288.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.288, "got": 0.288}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.288", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.036", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-1e-06-1e-06-0-5-3ff104090286", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=1e-06", "q2=1e-06", "r=0.5"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 1e-06 C and 1e-06 C are 0.5 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·1e-12/0.25 = 0.036.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.036, "got": 0.036}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.036", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.45", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-1e-06-2e-06-0-2-6a28d406ada5", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=1e-06", "q2=2e-06", "r=0.2"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 1e-06 C and 2e-06 C are 0.2 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·2e-12/0.04000000000000001 = 0.4499999999999999.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.4499999999999999, "got": 0.4499999999999999}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.4499999999999999", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.45", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-2e-06-1e-06-0-2-ffda0d42f071", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=2e-06", "q2=1e-06", "r=0.2"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 2e-06 C and 1e-06 C are 0.2 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·2e-12/0.04000000000000001 = 0.4499999999999999.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.4499999999999999, "got": 0.4499999999999999}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.4499999999999999", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.8", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-2e-06-1e-06-0-1-b248b3f1c8fc", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=2e-06", "q2=1e-06", "r=0.1"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 2e-06 C and 1e-06 C are 0.1 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·2e-12/0.010000000000000002 = 1.7999999999999996.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.7999999999999996, "got": 1.7999999999999996}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.7999999999999996", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1.35", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-3e-06-2e-06-0-2-d4e798f4a3e7", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=3e-06", "q2=2e-06", "r=0.2"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 3e-06 C and 2e-06 C are 0.2 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·6e-12/0.04000000000000001 = 1.3499999999999996.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1.3499999999999996, "got": 1.3499999999999996}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1.3499999999999996", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "5.4", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-3e-06-2e-06-0-1-fc16d2dadead", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=3e-06", "q2=2e-06", "r=0.1"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 3e-06 C and 2e-06 C are 0.1 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·6e-12/0.010000000000000002 = 5.399999999999999.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 5.399999999999999, "got": 5.399999999999999}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "5.399999999999999", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.144", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-1e-06-4e-06-0-5-c33fc7105339", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=1e-06", "q2=4e-06", "r=0.5"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 1e-06 C and 4e-06 C are 0.5 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·4e-12/0.25 = 0.144.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.144, "got": 0.144}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.144", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.036", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-2e-06-2e-06-1-0-c75d278f1bd6", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=2e-06", "q2=2e-06", "r=1.0"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 2e-06 C and 2e-06 C are 1.0 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·4e-12/1.0 = 0.036.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.036, "got": 0.036}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.036", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.6", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-2e-06-2e-06-0-1-0e2ee1721617", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=2e-06", "q2=2e-06", "r=0.1"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 2e-06 C and 2e-06 C are 0.1 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·4e-12/0.010000000000000002 = 3.599999999999999.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.599999999999999, "got": 3.599999999999999}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.599999999999999", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "0.018", "assumptions": [], "concept_id": "science.newton", "constraints": ["Coulomb's law", "Vacuum", "k=9.0e9"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "intermediate", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-coul-1e-06-2e-06-1-0-0abb144368c2", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 2.0999999999999996, "keywords": 0.0, "math_ops": 0.625, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 4.6}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["q1=1e-06", "q2=2e-06", "r=1.0"], "plan": ["Substitute into Coulomb's law"], "prompt": "Two point charges 1e-06 C and 2e-06 C are 1.0 m apart in vacuum. Magnitude of the Coulomb force in newtons? Use k=9.0e9.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "F=k|q1 q2|/r2 = 9e9·2e-12/1.0 = 0.018.", "strategy": ["Substitute into Coulomb's law"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 0.018, "got": 0.018}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "0.018", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.313035075e-19", "assumptions": [], "concept_id": "science.energy", "constraints": ["E=hf", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-500000000000000-0-a97efa0512d5", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=500000000000000.0 Hz"], "plan": ["Multiply Planck's constant by frequency"], "prompt": "A photon has frequency 5e+14 Hz. What is its energy in joules? Use h=6.62607015e-34 J·s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "E=hf=6.62607015e-34·500000000000000.0=3.313035075e-19.", "strategy": ["Multiply Planck's constant by frequency"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.313035075e-19, "got": 3.313035075e-19}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.313035075e-19", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "3.97564209e-19", "assumptions": [], "concept_id": "science.energy", "constraints": ["E=hf", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-600000000000000-0-8f3684e232a1", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=600000000000000.0 Hz"], "plan": ["Multiply Planck's constant by frequency"], "prompt": "A photon has frequency 6e+14 Hz. What is its energy in joules? Use h=6.62607015e-34 J·s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "E=hf=6.62607015e-34·600000000000000.0=3.9756420899999997e-19.", "strategy": ["Multiply Planck's constant by frequency"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 3.9756420899999997e-19, "got": 3.9756420899999997e-19}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "3.9756420899999997e-19", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "4.638249105e-19", "assumptions": [], "concept_id": "science.energy", "constraints": ["E=hf", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-700000000000000-0-e3d15038ba94", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=700000000000000.0 Hz"], "plan": ["Multiply Planck's constant by frequency"], "prompt": "A photon has frequency 7e+14 Hz. What is its energy in joules? Use h=6.62607015e-34 J·s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "E=hf=6.62607015e-34·700000000000000.0=4.638249105e-19.", "strategy": ["Multiply Planck's constant by frequency"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 4.638249105e-19, "got": 4.638249105e-19}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "4.638249105e-19", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "6.62607015e-19", "assumptions": [], "concept_id": "science.energy", "constraints": ["E=hf", "SI"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-ph-1000000000000000-0-747e1c263265", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.3, "plan": 0.4, "prompt_length": 0.375, "tests": 0.0, "total": 3.1}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["f=1000000000000000.0 Hz"], "plan": ["Multiply Planck's constant by frequency"], "prompt": "A photon has frequency 1e+15 Hz. What is its energy in joules? Use h=6.62607015e-34 J·s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "E=hf=6.62607015e-34·1000000000000000.0=6.62607015e-19.", "strategy": ["Multiply Planck's constant by frequency"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 6.62607015e-19, "got": 6.62607015e-19}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "6.62607015e-19", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "21400.81935", "assumptions": [], "concept_id": "science.newton", "constraints": ["Non-rotating sphere", "No atmosphere"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-esc-5-97e-24-1740000-0-c0c109ae8a4b", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.475}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M=5.97e+24", "R=1740000.0"], "plan": ["Apply v=√(2GM/R)"], "prompt": "Escape speed from a sphere of mass 5.970e+24 kg and radius 1.740e+06 m? Use G=6.6743e-11. Answer in m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "v=sqrt(2GM/R)=21400.81935266772.", "strategy": ["Apply v=√(2GM/R)"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 21400.81935266772, "got": 21400.81935266772}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "21400.81935266772", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "1692.933236", "assumptions": [], "concept_id": "science.newton", "constraints": ["Non-rotating sphere", "No atmosphere"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-esc-7-3e-22-3400000-0-a47ae6ab831c", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.475}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M=7.3e+22", "R=3400000.0"], "plan": ["Apply v=√(2GM/R)"], "prompt": "Escape speed from a sphere of mass 7.300e+22 kg and radius 3.400e+06 m? Use G=6.6743e-11. Answer in m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "v=sqrt(2GM/R)=1692.933235888666.", "strategy": ["Apply v=√(2GM/R)"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1692.933235888666, "got": 1692.933235888666}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1692.933235888666", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "11184.9825", "assumptions": [], "concept_id": "science.newton", "constraints": ["Non-rotating sphere", "No atmosphere"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-esc-5-97e-24-6370000-0-b7b964eb53d7", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.625, "observations": 0.6, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.475}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["M=5.97e+24", "R=6370000.0"], "plan": ["Apply v=√(2GM/R)"], "prompt": "Escape speed from a sphere of mass 5.970e+24 kg and radius 6.370e+06 m? Use G=6.6743e-11. Answer in m/s.", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "v=sqrt(2GM/R)=11184.982503114454.", "strategy": ["Apply v=√(2GM/R)"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 11184.982503114454, "got": 11184.982503114454}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "11184.982503114454", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
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{"answer": "1130000", "assumptions": [], "concept_id": "science.energy", "constraints": ["Isothermal phase change"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "introductory", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-lat-0-5-2260000-761a9936c688", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 0.7, "keywords": 0.0, "math_ops": 0.125, "observations": 0.6, "plan": 0.4, "prompt_length": 0.575, "tests": 0.0, "total": 2.3999999999999995}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["m=0.5 kg", "L=2260000 J/kg"], "plan": ["Apply Q=mL"], "prompt": "How much energy in joules is needed for vaporization of 0.5 kg of water using L=2260000 J/kg (phase change only, no temperature change)?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "Q=mL=0.5·2260000=1130000.0.", "strategy": ["Apply Q=mL"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 1130000.0, "got": 1130000.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "1130000.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
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{"answer": "8", "assumptions": [], "concept_id": "science.waves", "constraints": ["Kepler's third law", "Same central mass"], "context": {"field": "astronomy", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kep-4-0-9147b36f2a77", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.8}, "field": "astronomy", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["T1=1.0", "a1=1.0", "a2=4.0"], "plan": ["Scale period by a^(3/2)"], "prompt": "A planet orbits with period 1.0 year at semi-major axis 1.0 AU. Another body has a=4.0 AU around the same star. Period in years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T2∝a3 ⇒ T2=T1·(a2/a1)^(3/2)=8.0.", "strategy": ["Scale period by a^(3/2)"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 8.0, "got": 8.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "8.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "27", "assumptions": [], "concept_id": "science.waves", "constraints": ["Kepler's third law", "Same central mass"], "context": {"field": "astronomy", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kep-9-0-97bb79f889cc", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.8}, "field": "astronomy", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["T1=1.0", "a1=1.0", "a2=9.0"], "plan": ["Scale period by a^(3/2)"], "prompt": "A planet orbits with period 1.0 year at semi-major axis 1.0 AU. Another body has a=9.0 AU around the same star. Period in years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T2∝a3 ⇒ T2=T1·(a2/a1)^(3/2)=27.0.", "strategy": ["Scale period by a^(3/2)"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 27.0, "got": 27.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "27.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "64", "assumptions": [], "concept_id": "science.waves", "constraints": ["Kepler's third law", "Same central mass"], "context": {"field": "astronomy", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-kep-16-0-6d4a1b2ad843", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.5, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.6, "tests": 0.0, "total": 3.8}, "field": "astronomy", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["T1=1.0", "a1=1.0", "a2=16.0"], "plan": ["Scale period by a^(3/2)"], "prompt": "A planet orbits with period 1.0 year at semi-major axis 1.0 AU. Another body has a=16.0 AU around the same star. Period in years?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "T2∝a3 ⇒ T2=T1·(a2/a1)^(3/2)=64.0.", "strategy": ["Scale period by a^(3/2)"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 64.0, "got": 64.0}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "64.0", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "216", "assumptions": [], "concept_id": "science.energy", "constraints": ["Constant force", "θ from displacement"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-work-36-12-60-e2416005781a", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.15}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=36 N", "d=12 m", "theta=60"], "plan": ["Apply W=Fd cosθ"], "prompt": "A constant force of 36 N acts through 12 m at 60° to the displacement. Work in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "W=Fd cosθ=36·12·cos(60°)=216.00000000000006.", "strategy": ["Apply W=Fd cosθ"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 216.00000000000006, "got": 216.00000000000006}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "216.00000000000006", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "20", "assumptions": [], "concept_id": "science.energy", "constraints": ["Constant force", "θ from displacement"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-work-8-5-60-2d8045552504", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.15}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=8 N", "d=5 m", "theta=60"], "plan": ["Apply W=Fd cosθ"], "prompt": "A constant force of 8 N acts through 5 m at 60° to the displacement. Work in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "W=Fd cosθ=8·5·cos(60°)=20.000000000000004.", "strategy": ["Apply W=Fd cosθ"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 20.000000000000004, "got": 20.000000000000004}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "20.000000000000004", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "80", "assumptions": [], "concept_id": "science.energy", "constraints": ["Constant force", "θ from displacement"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-work-40-4-60-bdac5a2724d7", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.15}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=40 N", "d=4 m", "theta=60"], "plan": ["Apply W=Fd cosθ"], "prompt": "A constant force of 40 N acts through 4 m at 60° to the displacement. Work in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "W=Fd cosθ=40·4·cos(60°)=80.00000000000001.", "strategy": ["Apply W=Fd cosθ"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 80.00000000000001, "got": 80.00000000000001}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "80.00000000000001", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
{"answer": "214.5", "assumptions": [], "concept_id": "science.energy", "constraints": ["Constant force", "θ from displacement"], "context": {"field": "physics", "units_in_si_unless_stated": true}, "difficulty": "beginner", "domain": "science", "education_level": null, "evidence": null, "id": "or-science-sci-work-33-13-60-7c12ecc9f607", "metadata": {"concept_id_inferred": true, "difficulty_score": {"constraints": 1.4, "keywords": 0.0, "math_ops": 0.0, "observations": 0.8999999999999999, "plan": 0.4, "prompt_length": 0.45, "tests": 0.0, "total": 3.15}, "field": "physics", "pipeline_version": "1.3.8", "schema_version": "1.3.8"}, "natural_language": "en", "observations": ["F=33 N", "d=13 m", "theta=60"], "plan": ["Apply W=Fd cosθ"], "prompt": "A constant force of 33 N acts through 13 m at 60° to the displacement. Work in joules?", "provenance": {"commit": null, "derived": false, "derived_from": null, "generated_at": "2026-08-19T01:35:15Z", "generator": "open_reason.generation.science", "generator_version": "1.3.8", "license": "Apache License 2.0", "license_spdx": "Apache-2.0", "retrieved_at": null, "source": "open_reason.generation.science", "source_id": null, "source_type": "synthetic", "source_url": null, "source_version": null, "transformation": null, "trust_tier": "tier7_synthetic", "unknown_reason": null}, "quality": {"evidence_confidence": 0.617, "notes": [], "score_components": {"authority_score": 0.55, "community_score": 0.0, "cross_source_score": 0.0, "provenance_score": 1.0, "recency_score": 0.7, "verification_score": 1.0}, "tier": "S", "verification_method": "numeric", "verified": true}, "runtime": null, "solution": "W=Fd cosθ=33·13·cos(60°)=214.50000000000006.", "strategy": ["Apply W=Fd cosθ"], "task_type": "calculation", "temporal": null, "transformation": ["task_generation", "difficulty_assignment", "verification", "knowledge_normalization"], "translation_status": "original", "verification": {"command": null, "compiler_version": null, "details": {"expected": 214.50000000000006, "got": 214.50000000000006}, "exit_code": null, "memory_mb": null, "method": "numeric", "passed": true, "result": "214.50000000000006", "runtime_s": null, "runtime_version": null, "stderr": null, "stdout": null, "tests_failed": null, "tests_passed": null}}
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