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 = -353.4 mm. | {
"id": "WUA_EARTH_25K_010701",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -23.11 °C. | {
"id": "WUA_EARTH_25K_010702",
"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 = 731.4 W/m²; Absorbed = 344.2 W/m². | {
"id": "WUA_EARTH_25K_010703",
"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": "Convert pressure: 920 hPa to Pa."
... | P = 92000 Pa. | {
"id": "WUA_EARTH_25K_010704",
"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: 868 hPa to Pa."
... | P = 86800 Pa. | {
"id": "WUA_EARTH_25K_010705",
"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 = 984.3 W/m²; Absorbed = 173.7 W/m². | {
"id": "WUA_EARTH_25K_010706",
"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 ≈ 0.01783 kg/kg. | {
"id": "WUA_EARTH_25K_010707",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = 32.6 mm. | {
"id": "WUA_EARTH_25K_010708",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = -318.4 mm. | {
"id": "WUA_EARTH_25K_010709",
"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: 909 hPa to Pa."
... | P = 90900 Pa. | {
"id": "WUA_EARTH_25K_010710",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01510 kg/kg. | {
"id": "WUA_EARTH_25K_010711",
"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 = 106.3 W/m²; Absorbed = 860.4 W/m². | {
"id": "WUA_EARTH_25K_010712",
"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": "Convert pressure: 991 hPa to Pa."
... | P = 99100 Pa. | {
"id": "WUA_EARTH_25K_010713",
"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": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00685 kg/kg. | {
"id": "WUA_EARTH_25K_010714",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = 79.3 mm. | {
"id": "WUA_EARTH_25K_010715",
"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 ≈ 0.02029 kg/kg. | {
"id": "WUA_EARTH_25K_010716",
"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": "Convert pressure: 1031 hPa to Pa."... | P = 103100 Pa. | {
"id": "WUA_EARTH_25K_010717",
"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 = 169.9 W/m²; Absorbed = 538.1 W/m². | {
"id": "WUA_EARTH_25K_010718",
"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) ≈ 11.87 °C. | {
"id": "WUA_EARTH_25K_010719",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = 91.2 mm. | {
"id": "WUA_EARTH_25K_010720",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ 24.57 °C. | {
"id": "WUA_EARTH_25K_010721",
"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,
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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 = 1480.5 mm. | {
"id": "WUA_EARTH_25K_010722",
"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": "Albedo: reflected = α·S; absorbed=... | Reflected = 280.3 W/m²; Absorbed = 569.0 W/m². | {
"id": "WUA_EARTH_25K_010723",
"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) ≈ -4.03 °C. | {
"id": "WUA_EARTH_25K_010724",
"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": "",
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"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -5.07 °C. | {
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{
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 384.7 W/m²; Absorbed = 746.8 W/m². | {
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 463.4 W/m²; Absorbed = 284.0 W/m². | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01044 kg/kg. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01736 kg/kg. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01221 kg/kg. | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 287.9 W/m²; Absorbed = 1083.2 W/m². | {
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{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 1.94 °C. | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 195.9 W/m²; Absorbed = 212.3 W/m². | {
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{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -3.90 °C. | {
"id": "WUA_EARTH_25K_010734",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -8.98 °C. | {
"id": "WUA_EARTH_25K_010735",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 264.7 mm. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.02229 kg/kg. | {
"id": "WUA_EARTH_25K_010737",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00748 kg/kg. | {
"id": "WUA_EARTH_25K_010738",
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"subdomain": "earth_math::atmosphere",
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01673 kg/kg. | {
"id": "WUA_EARTH_25K_010739",
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 659.4 W/m²; Absorbed = 269.4 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 1037 hPa to Pa."... | P = 103700 Pa. | {
"id": "WUA_EARTH_25K_010741",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -8.09 °C. | {
"id": "WUA_EARTH_25K_010742",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00579 kg/kg. | {
"id": "WUA_EARTH_25K_010743",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -15.12 °C. | {
"id": "WUA_EARTH_25K_010744",
"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 ≈ 0.01635 kg/kg. | {
"id": "WUA_EARTH_25K_010745",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 26.77 °C. | {
"id": "WUA_EARTH_25K_010746",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00704 kg/kg. | {
"id": "WUA_EARTH_25K_010747",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 6.86 °C. | {
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -18.34 °C. | {
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},
{
"role": "user",
"content": "Convert pressure: 886 hPa to Pa."
... | P = 88600 Pa. | {
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{
"role": "user",
"content": "Convert pressure: 1021 hPa to Pa."... | P = 102100 Pa. | {
"id": "WUA_EARTH_25K_010751",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 926.0 W/m²; Absorbed = 176.4 W/m². | {
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{
"role": "user",
"content": "Convert pressure: 1046 hPa to Pa."... | P = 104600 Pa. | {
"id": "WUA_EARTH_25K_010753",
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},
{
"role": "user",
"content": "Convert pressure: 972 hPa to Pa."
... | P = 97200 Pa. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 644.2 mm. | {
"id": "WUA_EARTH_25K_010755",
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{
"role": "user",
"content": "Convert pressure: 989 hPa to Pa."
... | P = 98900 Pa. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 236.1 W/m²; Absorbed = 121.6 W/m². | {
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},
{
"role": "user",
"content": "Convert pressure: 897 hPa to Pa."
... | P = 89700 Pa. | {
"id": "WUA_EARTH_25K_010758",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 236.8 W/m²; Absorbed = 277.9 W/m². | {
"id": "WUA_EARTH_25K_010759",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 951 hPa to Pa."
... | P = 95100 Pa. | {
"id": "WUA_EARTH_25K_010760",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 803.7 W/m²; Absorbed = 378.2 W/m². | {
"id": "WUA_EARTH_25K_010761",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 920 hPa to Pa."
... | P = 92000 Pa. | {
"id": "WUA_EARTH_25K_010762",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 1035 hPa to Pa."... | P = 103500 Pa. | {
"id": "WUA_EARTH_25K_010763",
"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 ≈ 0.01575 kg/kg. | {
"id": "WUA_EARTH_25K_010764",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -12.74 °C. | {
"id": "WUA_EARTH_25K_010765",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00831 kg/kg. | {
"id": "WUA_EARTH_25K_010766",
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},
{
"role": "user",
"content": "Convert pressure: 948 hPa to Pa."
... | P = 94800 Pa. | {
"id": "WUA_EARTH_25K_010767",
"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 = -181.9 mm. | {
"id": "WUA_EARTH_25K_010768",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ 11.26 °C. | {
"id": "WUA_EARTH_25K_010769",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
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{
"messages": [
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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) ≈ 5.77 °C. | {
"id": "WUA_EARTH_25K_010770",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 819.0 W/m²; Absorbed = 569.1 W/m². | {
"id": "WUA_EARTH_25K_010771",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 19.23 °C. | {
"id": "WUA_EARTH_25K_010772",
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01113 kg/kg. | {
"id": "WUA_EARTH_25K_010773",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 591.6 mm. | {
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"subdomain": "earth_math::hydrology",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 238.5 W/m²; Absorbed = 268.9 W/m². | {
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},
{
"role": "user",
"content": "Convert pressure: 935 hPa to Pa."
... | P = 93500 Pa. | {
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},
{
"role": "user",
"content": "Convert pressure: 884 hPa to Pa."
... | P = 88400 Pa. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1067.0 mm. | {
"id": "WUA_EARTH_25K_010778",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -352.9 mm. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00742 kg/kg. | {
"id": "WUA_EARTH_25K_010780",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 43.7 W/m²; Absorbed = 186.2 W/m². | {
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"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ 26.33 °C. | {
"id": "WUA_EARTH_25K_010782",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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"created_utc": "2026-01-04T05:02:58",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 349.0 mm. | {
"id": "WUA_EARTH_25K_010783",
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"subdomain": "earth_math::hydrology",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -358.3 mm. | {
"id": "WUA_EARTH_25K_010784",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 641.1 W/m²; Absorbed = 87.4 W/m². | {
"id": "WUA_EARTH_25K_010785",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -0.88 °C. | {
"id": "WUA_EARTH_25K_010786",
"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: 1025 hPa to Pa."... | P = 102500 Pa. | {
"id": "WUA_EARTH_25K_010787",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 211.8 W/m²; Absorbed = 99.6 W/m². | {
"id": "WUA_EARTH_25K_010788",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 162.5 W/m²; Absorbed = 87.5 W/m². | {
"id": "WUA_EARTH_25K_010789",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 525.6 W/m²; Absorbed = 430.0 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 1049 hPa to Pa."... | P = 104900 Pa. | {
"id": "WUA_EARTH_25K_010791",
"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": "Convert pressure: 967 hPa to Pa."
... | P = 96700 Pa. | {
"id": "WUA_EARTH_25K_010792",
"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 ≈ 0.00854 kg/kg. | {
"id": "WUA_EARTH_25K_010793",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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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) ≈ 19.80 °C. | {
"id": "WUA_EARTH_25K_010794",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -270.9 mm. | {
"id": "WUA_EARTH_25K_010795",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 8.92 °C. | {
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"subdomain": "earth_math::atmosphere",
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"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": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01072 kg/kg. | {
"id": "WUA_EARTH_25K_010797",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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{
"messages": [
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01148 kg/kg. | {
"id": "WUA_EARTH_25K_010798",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
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{
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01299 kg/kg. | {
"id": "WUA_EARTH_25K_010799",
"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 = 1423.0 mm. | {
"id": "WUA_EARTH_25K_010800",
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}
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} |
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