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 = -1199.6 mm. | {
"id": "WUA_EARTH_25K_015301",
"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) ≈ 11.85 °C. | {
"id": "WUA_EARTH_25K_015302",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = -870.4 mm. | {
"id": "WUA_EARTH_25K_015303",
"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) ≈ -10.85 °C. | {
"id": "WUA_EARTH_25K_015304",
"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 = 223.8 mm. | {
"id": "WUA_EARTH_25K_015305",
"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 = 1131.2 W/m²; Absorbed = 139.8 W/m². | {
"id": "WUA_EARTH_25K_015306",
"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) ≈ 6.78 °C. | {
"id": "WUA_EARTH_25K_015307",
"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 ≈ 0.01842 kg/kg. | {
"id": "WUA_EARTH_25K_015308",
"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) ≈ -0.24 °C. | {
"id": "WUA_EARTH_25K_015309",
"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 = 102.5 W/m²; Absorbed = 580.9 W/m². | {
"id": "WUA_EARTH_25K_015310",
"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": "Albedo: reflected = α·S; absorbed=... | Reflected = 379.3 W/m²; Absorbed = 975.5 W/m². | {
"id": "WUA_EARTH_25K_015311",
"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": "Water balance: Q = P - ET - ΔS. Gi... | Q = 326.1 mm. | {
"id": "WUA_EARTH_25K_015312",
"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 = 392.0 W/m²; Absorbed = 442.0 W/m². | {
"id": "WUA_EARTH_25K_015313",
"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": "Albedo: reflected = α·S; absorbed=... | Reflected = 549.0 W/m²; Absorbed = 619.1 W/m². | {
"id": "WUA_EARTH_25K_015314",
"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": "Convert pressure: 952 hPa to Pa."
... | P = 95200 Pa. | {
"id": "WUA_EARTH_25K_015315",
"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"
}
] | {
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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 ≈ 0.01704 kg/kg. | {
"id": "WUA_EARTH_25K_015316",
"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": "Temperature with lapse rate: T(z)=... | T(z) ≈ -7.76 °C. | {
"id": "WUA_EARTH_25K_015317",
"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"
}
] | {
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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 = 504.3 W/m²; Absorbed = 788.7 W/m². | {
"id": "WUA_EARTH_25K_015318",
"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": "Convert pressure: 948 hPa to Pa."
... | P = 94800 Pa. | {
"id": "WUA_EARTH_25K_015319",
"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"
}
] | {
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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 = 115.6 W/m²; Absorbed = 49.6 W/m². | {
"id": "WUA_EARTH_25K_015320",
"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 = 65.4 W/m²; Absorbed = 1243.3 W/m². | {
"id": "WUA_EARTH_25K_015321",
"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 = 741.4 W/m²; Absorbed = 173.9 W/m². | {
"id": "WUA_EARTH_25K_015322",
"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"
}
] | {
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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 = 509.1 mm. | {
"id": "WUA_EARTH_25K_015323",
"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"
}
] | {
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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: 930 hPa to Pa."
... | P = 93000 Pa. | {
"id": "WUA_EARTH_25K_015324",
"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": [
... | [
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{
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"content": "Convert pressure: 867 hPa to Pa."
... | P = 86700 Pa. | {
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1892.7 mm. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 255.9 W/m²; Absorbed = 519.6 W/m². | {
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -9.24 °C. | {
"id": "WUA_EARTH_25K_015328",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00863 kg/kg. | {
"id": "WUA_EARTH_25K_015329",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 127.9 W/m²; Absorbed = 511.8 W/m². | {
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},
{
"role": "user",
"content": "Convert pressure: 867 hPa to Pa."
... | P = 86700 Pa. | {
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 109.2 mm. | {
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},
{
"role": "user",
"content": "Convert pressure: 1032 hPa to Pa."... | P = 103200 Pa. | {
"id": "WUA_EARTH_25K_015333",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 639.0 mm. | {
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"subdomain": "earth_math::hydrology",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -267.6 mm. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01225 kg/kg. | {
"id": "WUA_EARTH_25K_015336",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Convert pressure: 953 hPa to Pa."
... | P = 95300 Pa. | {
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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) ≈ 31.08 °C. | {
"id": "WUA_EARTH_25K_015338",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -2.40 °C. | {
"id": "WUA_EARTH_25K_015339",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 477.2 mm. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01200 kg/kg. | {
"id": "WUA_EARTH_25K_015341",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 884 hPa to Pa."
... | P = 88400 Pa. | {
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{
"role": "user",
"content": "Convert pressure: 1012 hPa to Pa."... | P = 101200 Pa. | {
"id": "WUA_EARTH_25K_015343",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 691.0 W/m²; Absorbed = 103.2 W/m². | {
"id": "WUA_EARTH_25K_015344",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Convert pressure: 876 hPa to Pa."
... | P = 87600 Pa. | {
"id": "WUA_EARTH_25K_015345",
"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 ≈ 0.00634 kg/kg. | {
"id": "WUA_EARTH_25K_015346",
"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 ≈ 0.01192 kg/kg. | {
"id": "WUA_EARTH_25K_015347",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 921 hPa to Pa."
... | P = 92100 Pa. | {
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"content": "Convert pressure: 1049 hPa to Pa."... | P = 104900 Pa. | {
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{
"role": "user",
"content": "Convert pressure: 885 hPa to Pa."
... | P = 88500 Pa. | {
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -418.5 mm. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 121.5 W/m²; Absorbed = 1093.9 W/m². | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00399 kg/kg. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 279.6 W/m²; Absorbed = 65.6 W/m². | {
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01875 kg/kg. | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 382.9 W/m²; Absorbed = 47.3 W/m². | {
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01879 kg/kg. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1500.2 mm. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01137 kg/kg. | {
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"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Convert pressure: 961 hPa to Pa."
... | P = 96100 Pa. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -27.47 °C. | {
"id": "WUA_EARTH_25K_015361",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 449.2 W/m²; Absorbed = 527.4 W/m². | {
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01810 kg/kg. | {
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01490 kg/kg. | {
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},
{
"role": "user",
"content": "Convert pressure: 925 hPa to Pa."
... | P = 92500 Pa. | {
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"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01716 kg/kg. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1396.5 mm. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 915.4 W/m²; Absorbed = 273.4 W/m². | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 1037.6 W/m²; Absorbed = 292.6 W/m². | {
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01526 kg/kg. | {
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 501.4 mm. | {
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 818.3 mm. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 107.6 W/m²; Absorbed = 25.3 W/m². | {
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},
{
"role": "user",
"content": "Convert pressure: 944 hPa to Pa."
... | P = 94400 Pa. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01756 kg/kg. | {
"id": "WUA_EARTH_25K_015375",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 75.1 mm. | {
"id": "WUA_EARTH_25K_015376",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1226.5 mm. | {
"id": "WUA_EARTH_25K_015377",
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{
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"content": "Convert pressure: 1026 hPa to Pa."... | P = 102600 Pa. | {
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},
{
"role": "user",
"content": "Convert pressure: 870 hPa to Pa."
... | P = 87000 Pa. | {
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00618 kg/kg. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01852 kg/kg. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00418 kg/kg. | {
"id": "WUA_EARTH_25K_015382",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 12.02 °C. | {
"id": "WUA_EARTH_25K_015383",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -546.2 mm. | {
"id": "WUA_EARTH_25K_015384",
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"subdomain": "earth_math::hydrology",
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01331 kg/kg. | {
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 365.2 mm. | {
"id": "WUA_EARTH_25K_015386",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 564.7 W/m²; Absorbed = 317.6 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01352 kg/kg. | {
"id": "WUA_EARTH_25K_015388",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 777.7 W/m²; Absorbed = 518.5 W/m². | {
"id": "WUA_EARTH_25K_015389",
"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) ≈ 4.65 °C. | {
"id": "WUA_EARTH_25K_015390",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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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) ≈ -9.99 °C. | {
"id": "WUA_EARTH_25K_015391",
"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 = 744.7 mm. | {
"id": "WUA_EARTH_25K_015392",
"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) ≈ 8.92 °C. | {
"id": "WUA_EARTH_25K_015393",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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{
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 973.7 W/m²; Absorbed = 145.5 W/m². | {
"id": "WUA_EARTH_25K_015394",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -408.6 mm. | {
"id": "WUA_EARTH_25K_015395",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 321.9 mm. | {
"id": "WUA_EARTH_25K_015396",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01225 kg/kg. | {
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"content": "Convert pressure: 938 hPa to Pa."
... | P = 93800 Pa. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00816 kg/kg. | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01221 kg/kg. | {
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