prompt dict | response string | meta dict | fact_sources list | artifacts dict |
|---|---|---|---|---|
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=10891.... | A ≈ 46474.02. | {
"id": "WUA_ECON_25K_009101",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 24.96%. | {
"id": "WUA_ECON_25K_009102",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -73.16%. | {
"id": "WUA_ECON_25K_009103",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 86.14%. | {
"id": "WUA_ECON_25K_009104",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -1.248. | {
"id": "WUA_ECON_25K_009105",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=15926.... | A ≈ 28741.15. | {
"id": "WUA_ECON_25K_009106",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 1812.80. | {
"id": "WUA_ECON_25K_009107",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 5683.02. | {
"id": "WUA_ECON_25K_009108",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 39021.61. | {
"id": "WUA_ECON_25K_009109",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -63.48%. | {
"id": "WUA_ECON_25K_009110",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 43.09%. | {
"id": "WUA_ECON_25K_009111",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 15.93%. | {
"id": "WUA_ECON_25K_009112",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 347561.28 (currency units). | {
"id": "WUA_ECON_25K_009113",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=1448... | PV ≈ 3225.71. | {
"id": "WUA_ECON_25K_009114",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=48110.... | A ≈ 99136.82. | {
"id": "WUA_ECON_25K_009115",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=3374.9... | A ≈ 291060.63. | {
"id": "WUA_ECON_25K_009116",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -3.452. | {
"id": "WUA_ECON_25K_009117",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=4688... | PV ≈ 42858.28. | {
"id": "WUA_ECON_25K_009118",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 33.630; Q* ≈ 822.333. | {
"id": "WUA_ECON_25K_009119",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 47259.12. | {
"id": "WUA_ECON_25K_009120",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 283.46. | {
"id": "WUA_ECON_25K_009121",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -3.045. | {
"id": "WUA_ECON_25K_009122",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 110.33%. | {
"id": "WUA_ECON_25K_009123",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 281.85. | {
"id": "WUA_ECON_25K_009124",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 131.10%. | {
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{
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"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.085. | {
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{
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 41.053; Q* ≈ 1006.737. | {
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{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 138.69. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 69.08%. | {
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 247565.85 (currency units). | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 42.059; Q* ≈ 639.824. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -26.72%. | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 47099.75. | {
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{
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 81.65%. | {
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=39408.... | A ≈ 1297280.29. | {
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3344... | PV ≈ 21105.87. | {
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},
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 157982.71 (currency units). | {
"id": "WUA_ECON_25K_009139",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 5828.84 (currency units). | {
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -49.41%. | {
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 28.382; Q* ≈ 559.735. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=1656... | PV ≈ 1959.81. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -56.53%. | {
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 28.583; Q* ≈ 389.500. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 197755.98 (currency units). | {
"id": "WUA_ECON_25K_009146",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -4.078. | {
"id": "WUA_ECON_25K_009147",
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"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 1.961. | {
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"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 1.105. | {
"id": "WUA_ECON_25K_009149",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 136.85. | {
"id": "WUA_ECON_25K_009150",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 33639.49 (currency units). | {
"id": "WUA_ECON_25K_009151",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -8.713. | {
"id": "WUA_ECON_25K_009152",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -1.475. | {
"id": "WUA_ECON_25K_009153",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -2.106. | {
"id": "WUA_ECON_25K_009154",
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"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -1.612. | {
"id": "WUA_ECON_25K_009155",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=34143.... | A ≈ 124875.80. | {
"id": "WUA_ECON_25K_009156",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 160.846; Q* ≈ 1145.462. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=25889.... | A ≈ 69183.33. | {
"id": "WUA_ECON_25K_009158",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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"... | [
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.853. | {
"id": "WUA_ECON_25K_009159",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 6951.65 (currency units). | {
"id": "WUA_ECON_25K_009160",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.889. | {
"id": "WUA_ECON_25K_009161",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 55068.06. | {
"id": "WUA_ECON_25K_009162",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=29421.... | A ≈ 489181.36. | {
"id": "WUA_ECON_25K_009163",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=5811... | PV ≈ 5390.81. | {
"id": "WUA_ECON_25K_009164",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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{
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{
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"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -22.81%. | {
"id": "WUA_ECON_25K_009165",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"... | [
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2509... | PV ≈ 4994.24. | {
"id": "WUA_ECON_25K_009166",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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"... | [
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"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3707... | PV ≈ 12736.20. | {
"id": "WUA_ECON_25K_009167",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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... | [
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{
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{
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"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 1.07%. | {
"id": "WUA_ECON_25K_009168",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"wrapper": "minimal_chain",
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{
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"evidence_type": "self_contained",
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{
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"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=42337.... | A ≈ 60660.95. | {
"id": "WUA_ECON_25K_009169",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 65038.67. | {
"id": "WUA_ECON_25K_009170",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"truth_mode": "self_contained",
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"... | [
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=15154.... | A ≈ 58113.13. | {
"id": "WUA_ECON_25K_009171",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 20339.95 (currency units). | {
"id": "WUA_ECON_25K_009172",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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"content": "Present value: PV = FV/(1+r)^n. FV=1771... | PV ≈ 1427.29. | {
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},
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 20916.00 (currency units). | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 11047.94. | {
"id": "WUA_ECON_25K_009176",
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{
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"content": "Present value: PV = FV/(1+r)^n. FV=2718... | PV ≈ 22999.62. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -8.70%. | {
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},
{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 25.85. | {
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},
{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 1208.53. | {
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},
{
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 119.857; Q* ≈ 706.429. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.498. | {
"id": "WUA_ECON_25K_009182",
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=6610... | PV ≈ 913.82. | {
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=27497.... | A ≈ 112087.87. | {
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=3050... | PV ≈ 13975.53. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.971. | {
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},
{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 192.01. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -1.49%. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=2082... | PV ≈ 16628.40. | {
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},
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 166817.25 (currency units). | {
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 47.900; Q* ≈ -12.700. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=2982... | PV ≈ 2983.17. | {
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 91.85. | {
"id": "WUA_ECON_25K_009193",
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{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 43.43. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -55.08%. | {
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 121.667; Q* ≈ 375.667. | {
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"... | [
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 81379.83. | {
"id": "WUA_ECON_25K_009197",
"domain": "master_scholars_academics",
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},
{
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 175.94%. | {
"id": "WUA_ECON_25K_009198",
"domain": "master_scholars_academics",
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 23.190; Q* ≈ 349.810. | {
"id": "WUA_ECON_25K_009199",
"domain": "master_scholars_academics",
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"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ -9.778; Q* ≈ 198.444. | {
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"... | [
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