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": "Albedo: reflected = α·S; absorbed=... | Reflected = 430.2 W/m²; Absorbed = 107.5 W/m². | {
"id": "WUA_EARTH_25K_015801",
"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": "Convert pressure: 1003 hPa to Pa."... | P = 100300 Pa. | {
"id": "WUA_EARTH_25K_015802",
"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": "Convert pressure: 927 hPa to Pa."
... | P = 92700 Pa. | {
"id": "WUA_EARTH_25K_015803",
"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) ≈ 15.48 °C. | {
"id": "WUA_EARTH_25K_015804",
"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) ≈ 17.70 °C. | {
"id": "WUA_EARTH_25K_015805",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -14.95 °C. | {
"id": "WUA_EARTH_25K_015806",
"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: 911 hPa to Pa."
... | P = 91100 Pa. | {
"id": "WUA_EARTH_25K_015807",
"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": "Convert pressure: 1031 hPa to Pa."... | P = 103100 Pa. | {
"id": "WUA_EARTH_25K_015808",
"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": "Convert pressure: 925 hPa to Pa."
... | P = 92500 Pa. | {
"id": "WUA_EARTH_25K_015809",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1500.7 mm. | {
"id": "WUA_EARTH_25K_015810",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = -790.2 mm. | {
"id": "WUA_EARTH_25K_015811",
"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) ≈ -4.93 °C. | {
"id": "WUA_EARTH_25K_015812",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00921 kg/kg. | {
"id": "WUA_EARTH_25K_015813",
"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 ≈ 0.02135 kg/kg. | {
"id": "WUA_EARTH_25K_015814",
"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": "Albedo: reflected = α·S; absorbed=... | Reflected = 386.2 W/m²; Absorbed = 993.2 W/m². | {
"id": "WUA_EARTH_25K_015815",
"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 = 355.8 mm. | {
"id": "WUA_EARTH_25K_015816",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01462 kg/kg. | {
"id": "WUA_EARTH_25K_015817",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01381 kg/kg. | {
"id": "WUA_EARTH_25K_015818",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01058 kg/kg. | {
"id": "WUA_EARTH_25K_015819",
"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: 921 hPa to Pa."
... | P = 92100 Pa. | {
"id": "WUA_EARTH_25K_015820",
"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 = 538.0 W/m²; Absorbed = 806.9 W/m². | {
"id": "WUA_EARTH_25K_015821",
"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,
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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: 972 hPa to Pa."
... | P = 97200 Pa. | {
"id": "WUA_EARTH_25K_015822",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = -1146.2 mm. | {
"id": "WUA_EARTH_25K_015823",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ 5.04 °C. | {
"id": "WUA_EARTH_25K_015824",
"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"
} |
{
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 10.06 °C. | {
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},
{
"role": "user",
"content": "Convert pressure: 1013 hPa to Pa."... | P = 101300 Pa. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 544.5 mm. | {
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"subdomain": "earth_math::hydrology",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00422 kg/kg. | {
"id": "WUA_EARTH_25K_015828",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 533.0 mm. | {
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"subdomain": "earth_math::hydrology",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01539 kg/kg. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -19.3 mm. | {
"id": "WUA_EARTH_25K_015831",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -13.76 °C. | {
"id": "WUA_EARTH_25K_015832",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 191.2 W/m²; Absorbed = 23.6 W/m². | {
"id": "WUA_EARTH_25K_015833",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 941 hPa to Pa."
... | P = 94100 Pa. | {
"id": "WUA_EARTH_25K_015834",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 197.2 W/m²; Absorbed = 161.3 W/m². | {
"id": "WUA_EARTH_25K_015835",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1465.5 mm. | {
"id": "WUA_EARTH_25K_015836",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01317 kg/kg. | {
"id": "WUA_EARTH_25K_015837",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 764.6 W/m²; Absorbed = 179.4 W/m². | {
"id": "WUA_EARTH_25K_015838",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 26.0 W/m²; Absorbed = 92.4 W/m². | {
"id": "WUA_EARTH_25K_015839",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1594.7 mm. | {
"id": "WUA_EARTH_25K_015840",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 209.4 W/m²; Absorbed = 185.7 W/m². | {
"id": "WUA_EARTH_25K_015841",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 174.0 W/m²; Absorbed = 582.7 W/m². | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -662.0 mm. | {
"id": "WUA_EARTH_25K_015843",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01712 kg/kg. | {
"id": "WUA_EARTH_25K_015844",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 17.44 °C. | {
"id": "WUA_EARTH_25K_015845",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -585.9 mm. | {
"id": "WUA_EARTH_25K_015846",
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"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 1039 hPa to Pa."... | P = 103900 Pa. | {
"id": "WUA_EARTH_25K_015847",
"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01900 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) ≈ -11.90 °C. | {
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{
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01375 kg/kg. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 254.5 W/m²; Absorbed = 149.5 W/m². | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 598.3 W/m²; Absorbed = 382.6 W/m². | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 63.9 mm. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01248 kg/kg. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 844.2 mm. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01928 kg/kg. | {
"id": "WUA_EARTH_25K_015856",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Convert pressure: 1021 hPa to Pa."... | P = 102100 Pa. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -337.7 mm. | {
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},
{
"role": "user",
"content": "Convert pressure: 889 hPa to Pa."
... | P = 88900 Pa. | {
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},
{
"role": "user",
"content": "Convert pressure: 1006 hPa to Pa."... | P = 100600 Pa. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01774 kg/kg. | {
"id": "WUA_EARTH_25K_015861",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 185.3 W/m²; Absorbed = 620.5 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 952 hPa to Pa."
... | P = 95200 Pa. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00768 kg/kg. | {
"id": "WUA_EARTH_25K_015864",
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 201.6 W/m²; Absorbed = 158.4 W/m². | {
"id": "WUA_EARTH_25K_015865",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 451.3 W/m²; Absorbed = 649.5 W/m². | {
"id": "WUA_EARTH_25K_015866",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -715.0 mm. | {
"id": "WUA_EARTH_25K_015867",
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"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 104.7 W/m²; Absorbed = 64.2 W/m². | {
"id": "WUA_EARTH_25K_015868",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 805.3 mm. | {
"id": "WUA_EARTH_25K_015869",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 1027 hPa to Pa."... | P = 102700 Pa. | {
"id": "WUA_EARTH_25K_015870",
"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 1005 hPa to Pa."... | P = 100500 Pa. | {
"id": "WUA_EARTH_25K_015871",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 81.3 W/m²; Absorbed = 84.6 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 71.0 W/m²; Absorbed = 86.8 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 139.3 W/m²; Absorbed = 358.1 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 719.1 W/m²; Absorbed = 137.0 W/m². | {
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 8.87 °C. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00955 kg/kg. | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 332.0 W/m²; Absorbed = 178.8 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 86.0 W/m²; Absorbed = 200.6 W/m². | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01211 kg/kg. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01922 kg/kg. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00357 kg/kg. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00452 kg/kg. | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 50.8 W/m²; Absorbed = 70.1 W/m². | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00675 kg/kg. | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 987.3 W/m²; Absorbed = 216.7 W/m². | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01299 kg/kg. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 454.4 W/m²; Absorbed = 213.8 W/m². | {
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{
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"content": "Convert pressure: 905 hPa to Pa."
... | P = 90500 Pa. | {
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -14.88 °C. | {
"id": "WUA_EARTH_25K_015891",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 916.5 mm. | {
"id": "WUA_EARTH_25K_015892",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -9.81 °C. | {
"id": "WUA_EARTH_25K_015893",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -88.0 mm. | {
"id": "WUA_EARTH_25K_015894",
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"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00918 kg/kg. | {
"id": "WUA_EARTH_25K_015895",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1204.4 mm. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00796 kg/kg. | {
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"content": "Convert pressure: 941 hPa to Pa."
... | P = 94100 Pa. | {
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{
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"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1559.8 mm. | {
"id": "WUA_EARTH_25K_015899",
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{
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"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 704.2 mm. | {
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