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": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1128.3 mm. | {
"id": "WUA_EARTH_25K_012201",
"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": "Convert pressure: 898 hPa to Pa."
... | P = 89800 Pa. | {
"id": "WUA_EARTH_25K_012202",
"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 = 346.1 W/m²; Absorbed = 97.6 W/m². | {
"id": "WUA_EARTH_25K_012203",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -21.77 °C. | {
"id": "WUA_EARTH_25K_012204",
"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": "Convert pressure: 994 hPa to Pa."
... | P = 99400 Pa. | {
"id": "WUA_EARTH_25K_012205",
"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": "Albedo: reflected = α·S; absorbed=... | Reflected = 689.2 W/m²; Absorbed = 611.1 W/m². | {
"id": "WUA_EARTH_25K_012206",
"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 = 119.1 W/m²; Absorbed = 277.9 W/m². | {
"id": "WUA_EARTH_25K_012207",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00917 kg/kg. | {
"id": "WUA_EARTH_25K_012208",
"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": "Convert pressure: 963 hPa to Pa."
... | P = 96300 Pa. | {
"id": "WUA_EARTH_25K_012209",
"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 = 124.9 W/m²; Absorbed = 767.3 W/m². | {
"id": "WUA_EARTH_25K_012210",
"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) ≈ 20.86 °C. | {
"id": "WUA_EARTH_25K_012211",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -5.40 °C. | {
"id": "WUA_EARTH_25K_012212",
"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 ≈ 0.00334 kg/kg. | {
"id": "WUA_EARTH_25K_012213",
"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: 881 hPa to Pa."
... | P = 88100 Pa. | {
"id": "WUA_EARTH_25K_012214",
"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": "Albedo: reflected = α·S; absorbed=... | Reflected = 164.8 W/m²; Absorbed = 1208.7 W/m². | {
"id": "WUA_EARTH_25K_012215",
"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"
}
] | {
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"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 = 460.9 mm. | {
"id": "WUA_EARTH_25K_012216",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00798 kg/kg. | {
"id": "WUA_EARTH_25K_012217",
"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"
}
] | {
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"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 = 259.6 W/m²; Absorbed = 77.5 W/m². | {
"id": "WUA_EARTH_25K_012218",
"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"
}
] | {
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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": "Water balance: Q = P - ET - ΔS. Gi... | Q = 451.8 mm. | {
"id": "WUA_EARTH_25K_012219",
"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"
}
] | {
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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": "Convert pressure: 1010 hPa to Pa."... | P = 101000 Pa. | {
"id": "WUA_EARTH_25K_012220",
"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"
}
] | {
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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": "Albedo: reflected = α·S; absorbed=... | Reflected = 637.3 W/m²; Absorbed = 159.3 W/m². | {
"id": "WUA_EARTH_25K_012221",
"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"
}
] | {
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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": "Albedo: reflected = α·S; absorbed=... | Reflected = 313.5 W/m²; Absorbed = 83.3 W/m². | {
"id": "WUA_EARTH_25K_012222",
"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"
}
] | {
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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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01941 kg/kg. | {
"id": "WUA_EARTH_25K_012223",
"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"
}
] | {
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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": "Convert pressure: 871 hPa to Pa."
... | P = 87100 Pa. | {
"id": "WUA_EARTH_25K_012224",
"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",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 21.82 °C. | {
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -25.67 °C. | {
"id": "WUA_EARTH_25K_012226",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 25.62 °C. | {
"id": "WUA_EARTH_25K_012227",
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 6.48 °C. | {
"id": "WUA_EARTH_25K_012228",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 266.9 W/m²; Absorbed = 79.7 W/m². | {
"id": "WUA_EARTH_25K_012229",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 10.97 °C. | {
"id": "WUA_EARTH_25K_012230",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00611 kg/kg. | {
"id": "WUA_EARTH_25K_012231",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -5.97 °C. | {
"id": "WUA_EARTH_25K_012232",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00449 kg/kg. | {
"id": "WUA_EARTH_25K_012233",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ 7.73 °C. | {
"id": "WUA_EARTH_25K_012234",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ 31.22 °C. | {
"id": "WUA_EARTH_25K_012235",
"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: 1024 hPa to Pa."... | P = 102400 Pa. | {
"id": "WUA_EARTH_25K_012236",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 88.3 W/m²; Absorbed = 279.8 W/m². | {
"id": "WUA_EARTH_25K_012237",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 204.9 W/m²; Absorbed = 282.9 W/m². | {
"id": "WUA_EARTH_25K_012238",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01427 kg/kg. | {
"id": "WUA_EARTH_25K_012239",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 99.4 W/m²; Absorbed = 665.5 W/m². | {
"id": "WUA_EARTH_25K_012240",
"domain": "master_scholars_academics",
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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 = 804.4 mm. | {
"id": "WUA_EARTH_25K_012241",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -3.57 °C. | {
"id": "WUA_EARTH_25K_012242",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 110.2 W/m²; Absorbed = 172.4 W/m². | {
"id": "WUA_EARTH_25K_012243",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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"messages": [
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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 ≈ 0.01589 kg/kg. | {
"id": "WUA_EARTH_25K_012244",
"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 = -224.7 mm. | {
"id": "WUA_EARTH_25K_012245",
"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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"messages": [
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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 ≈ 0.01455 kg/kg. | {
"id": "WUA_EARTH_25K_012246",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 907 hPa to Pa."
... | P = 90700 Pa. | {
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"domain": "master_scholars_academics",
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"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) ≈ 2.30 °C. | {
"id": "WUA_EARTH_25K_012248",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 862.3 W/m²; Absorbed = 106.6 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 196.8 W/m²; Absorbed = 167.7 W/m². | {
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 15.24 °C. | {
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"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 352.7 W/m²; Absorbed = 137.2 W/m². | {
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"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -409.8 mm. | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 36.9 W/m²; Absorbed = 424.2 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 465.0 W/m²; Absorbed = 365.4 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 372.9 W/m²; Absorbed = 723.8 W/m². | {
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"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 513.3 W/m²; Absorbed = 738.6 W/m². | {
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"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 525.7 mm. | {
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 16.67 °C. | {
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"content": "Convert pressure: 880 hPa to Pa."
... | P = 88000 Pa. | {
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"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00740 kg/kg. | {
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -401.3 mm. | {
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{
"role": "user",
"content": "Convert pressure: 958 hPa to Pa."
... | P = 95800 Pa. | {
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"content": "Convert pressure: 903 hPa to Pa."
... | P = 90300 Pa. | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 55.1 W/m²; Absorbed = 863.4 W/m². | {
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"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -941.3 mm. | {
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -15.89 °C. | {
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01535 kg/kg. | {
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"subdomain": "earth_math::atmosphere",
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{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 15.36 °C. | {
"id": "WUA_EARTH_25K_012271",
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"subdomain": "earth_math::atmosphere",
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"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01666 kg/kg. | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 324.1 W/m²; Absorbed = 48.4 W/m². | {
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"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 373.4 mm. | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 394.7 W/m²; Absorbed = 92.6 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 799.8 W/m²; Absorbed = 98.9 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 137.8 W/m²; Absorbed = 1240.2 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 205.7 W/m²; Absorbed = 42.1 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 514.1 W/m²; Absorbed = 838.7 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 441.0 W/m²; Absorbed = 198.1 W/m². | {
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -21.84 °C. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01667 kg/kg. | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 836.1 W/m²; Absorbed = 450.2 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 134.1 W/m²; Absorbed = 654.5 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 102.8 W/m²; Absorbed = 277.8 W/m². | {
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 17.60 °C. | {
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{
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -0.99 °C. | {
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"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 153.8 W/m²; Absorbed = 48.6 W/m². | {
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"content": "Convert pressure: 995 hPa to Pa."
... | P = 99500 Pa. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01328 kg/kg. | {
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"content": "Convert pressure: 906 hPa to Pa."
... | P = 90600 Pa. | {
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 2.13 °C. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01705 kg/kg. | {
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"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 1104.3 W/m²; Absorbed = 194.9 W/m². | {
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 6.05 °C. | {
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