prompt dict | response stringlengths 11 162 | meta dict | fact_sources listlengths 1 3 | artifacts dict |
|---|---|---|---|---|
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 914 hPa to Pa."
... | P = 91400 Pa. | {
"id": "WUA_EARTH_25K_008001",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": [
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 898 hPa to Pa."
... | P = 89800 Pa. | {
"id": "WUA_EARTH_25K_008002",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": [
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 20.27 °C. | {
"id": "WUA_EARTH_25K_008003",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 469.5 W/m²; Absorbed = 140.2 W/m². | {
"id": "WUA_EARTH_25K_008004",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 34.7 W/m²; Absorbed = 351.2 W/m². | {
"id": "WUA_EARTH_25K_008005",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -23.49 °C. | {
"id": "WUA_EARTH_25K_008006",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 1064.5 W/m²; Absorbed = 173.3 W/m². | {
"id": "WUA_EARTH_25K_008007",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 670.4 mm. | {
"id": "WUA_EARTH_25K_008008",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -13.73 °C. | {
"id": "WUA_EARTH_25K_008009",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -388.2 mm. | {
"id": "WUA_EARTH_25K_008010",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 972 hPa to Pa."
... | P = 97200 Pa. | {
"id": "WUA_EARTH_25K_008011",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 422.8 W/m²; Absorbed = 148.6 W/m². | {
"id": "WUA_EARTH_25K_008012",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01015 kg/kg. | {
"id": "WUA_EARTH_25K_008013",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 670.7 W/m²; Absorbed = 100.2 W/m². | {
"id": "WUA_EARTH_25K_008014",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01123 kg/kg. | {
"id": "WUA_EARTH_25K_008015",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -927.3 mm. | {
"id": "WUA_EARTH_25K_008016",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 6.2 mm. | {
"id": "WUA_EARTH_25K_008017",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01405 kg/kg. | {
"id": "WUA_EARTH_25K_008018",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 949 hPa to Pa."
... | P = 94900 Pa. | {
"id": "WUA_EARTH_25K_008019",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": [
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 850 hPa to Pa."
... | P = 85000 Pa. | {
"id": "WUA_EARTH_25K_008020",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 6.72 °C. | {
"id": "WUA_EARTH_25K_008021",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00434 kg/kg. | {
"id": "WUA_EARTH_25K_008022",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 580.5 W/m²; Absorbed = 738.9 W/m². | {
"id": "WUA_EARTH_25K_008023",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 90.2 mm. | {
"id": "WUA_EARTH_25K_008024",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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},
{
"role": "user",
"content": "Convert pressure: 854 hPa to Pa."
... | P = 85400 Pa. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00575 kg/kg. | {
"id": "WUA_EARTH_25K_008026",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 81.7 W/m²; Absorbed = 199.9 W/m². | {
"id": "WUA_EARTH_25K_008027",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 958 hPa to Pa."
... | P = 95800 Pa. | {
"id": "WUA_EARTH_25K_008028",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 973 hPa to Pa."
... | P = 97300 Pa. | {
"id": "WUA_EARTH_25K_008029",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -0.90 °C. | {
"id": "WUA_EARTH_25K_008030",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01718 kg/kg. | {
"id": "WUA_EARTH_25K_008031",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 28.78 °C. | {
"id": "WUA_EARTH_25K_008032",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 907 hPa to Pa."
... | P = 90700 Pa. | {
"id": "WUA_EARTH_25K_008033",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01073 kg/kg. | {
"id": "WUA_EARTH_25K_008034",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 930 hPa to Pa."
... | P = 93000 Pa. | {
"id": "WUA_EARTH_25K_008035",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 414.9 W/m²; Absorbed = 706.4 W/m². | {
"id": "WUA_EARTH_25K_008036",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Convert pressure: 968 hPa to Pa."
... | P = 96800 Pa. | {
"id": "WUA_EARTH_25K_008037",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -607.4 mm. | {
"id": "WUA_EARTH_25K_008038",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 859 hPa to Pa."
... | P = 85900 Pa. | {
"id": "WUA_EARTH_25K_008039",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -364.1 mm. | {
"id": "WUA_EARTH_25K_008040",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00712 kg/kg. | {
"id": "WUA_EARTH_25K_008041",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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{
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1098.8 mm. | {
"id": "WUA_EARTH_25K_008042",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -384.0 mm. | {
"id": "WUA_EARTH_25K_008043",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 981 hPa to Pa."
... | P = 98100 Pa. | {
"id": "WUA_EARTH_25K_008044",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -277.3 mm. | {
"id": "WUA_EARTH_25K_008045",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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{
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 112.9 W/m²; Absorbed = 117.6 W/m². | {
"id": "WUA_EARTH_25K_008046",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -1071.9 mm. | {
"id": "WUA_EARTH_25K_008047",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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{
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 837.0 mm. | {
"id": "WUA_EARTH_25K_008048",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 134.9 W/m²; Absorbed = 575.3 W/m². | {
"id": "WUA_EARTH_25K_008049",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -782.7 mm. | {
"id": "WUA_EARTH_25K_008050",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 432.3 W/m²; Absorbed = 528.4 W/m². | {
"id": "WUA_EARTH_25K_008051",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01390 kg/kg. | {
"id": "WUA_EARTH_25K_008052",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1624.8 mm. | {
"id": "WUA_EARTH_25K_008053",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1091.8 mm. | {
"id": "WUA_EARTH_25K_008054",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00997 kg/kg. | {
"id": "WUA_EARTH_25K_008055",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 726.7 W/m²; Absorbed = 255.3 W/m². | {
"id": "WUA_EARTH_25K_008056",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01045 kg/kg. | {
"id": "WUA_EARTH_25K_008057",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 928 hPa to Pa."
... | P = 92800 Pa. | {
"id": "WUA_EARTH_25K_008058",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01822 kg/kg. | {
"id": "WUA_EARTH_25K_008059",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 5.88 °C. | {
"id": "WUA_EARTH_25K_008060",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
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"evidence_type": "self_contained",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 2.26 °C. | {
"id": "WUA_EARTH_25K_008061",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 162.4 W/m²; Absorbed = 264.9 W/m². | {
"id": "WUA_EARTH_25K_008062",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00935 kg/kg. | {
"id": "WUA_EARTH_25K_008063",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -649.2 mm. | {
"id": "WUA_EARTH_25K_008064",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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"tag... | [
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 564.5 W/m²; Absorbed = 304.0 W/m². | {
"id": "WUA_EARTH_25K_008065",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"license": "cc-by-4.0",
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{
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -12.89 °C. | {
"id": "WUA_EARTH_25K_008066",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 985 hPa to Pa."
... | P = 98500 Pa. | {
"id": "WUA_EARTH_25K_008067",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"license": "cc-by-4.0",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -0.94 °C. | {
"id": "WUA_EARTH_25K_008068",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 751.8 mm. | {
"id": "WUA_EARTH_25K_008069",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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{
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{
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 146.7 W/m²; Absorbed = 831.2 W/m². | {
"id": "WUA_EARTH_25K_008070",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -13.00 °C. | {
"id": "WUA_EARTH_25K_008071",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
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{
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"role": "system",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 49.6 W/m²; Absorbed = 157.0 W/m². | {
"id": "WUA_EARTH_25K_008072",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 251.2 W/m²; Absorbed = 559.1 W/m². | {
"id": "WUA_EARTH_25K_008073",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01022 kg/kg. | {
"id": "WUA_EARTH_25K_008074",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -214.9 mm. | {
"id": "WUA_EARTH_25K_008075",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01138 kg/kg. | {
"id": "WUA_EARTH_25K_008076",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 4.16 °C. | {
"id": "WUA_EARTH_25K_008077",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 297.7 mm. | {
"id": "WUA_EARTH_25K_008078",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 79.4 W/m²; Absorbed = 531.5 W/m². | {
"id": "WUA_EARTH_25K_008079",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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{
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1275.8 mm. | {
"id": "WUA_EARTH_25K_008080",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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{
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 1011 hPa to Pa."... | P = 101100 Pa. | {
"id": "WUA_EARTH_25K_008081",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 1.73 °C. | {
"id": "WUA_EARTH_25K_008082",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 129.2 mm. | {
"id": "WUA_EARTH_25K_008083",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 1116.1 W/m²; Absorbed = 212.6 W/m². | {
"id": "WUA_EARTH_25K_008084",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 122.8 W/m²; Absorbed = 57.8 W/m². | {
"id": "WUA_EARTH_25K_008085",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 887 hPa to Pa."
... | P = 88700 Pa. | {
"id": "WUA_EARTH_25K_008086",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -4.25 °C. | {
"id": "WUA_EARTH_25K_008087",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 10.74 °C. | {
"id": "WUA_EARTH_25K_008088",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 264.7 W/m²; Absorbed = 29.4 W/m². | {
"id": "WUA_EARTH_25K_008089",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 945 hPa to Pa."
... | P = 94500 Pa. | {
"id": "WUA_EARTH_25K_008090",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"license": "cc-by-4.0",
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 12.25 °C. | {
"id": "WUA_EARTH_25K_008091",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -1128.0 mm. | {
"id": "WUA_EARTH_25K_008092",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 475.4 mm. | {
"id": "WUA_EARTH_25K_008093",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"created_utc": "2026-01-04T05:02:58",
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{
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 76.8 W/m²; Absorbed = 690.8 W/m². | {
"id": "WUA_EARTH_25K_008094",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1673.4 mm. | {
"id": "WUA_EARTH_25K_008095",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "core",
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"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -17.68 °C. | {
"id": "WUA_EARTH_25K_008096",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -10.24 °C. | {
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{
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 202.8 W/m²; Absorbed = 291.8 W/m². | {
"id": "WUA_EARTH_25K_008098",
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 203.4 mm. | {
"id": "WUA_EARTH_25K_008099",
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"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -395.0 mm. | {
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