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": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 25.38. | {
"id": "WUA_ECON_25K_009501",
"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": "Compound amount: A = P(1+r)^n. P=37148.... | A ≈ 511493.18. | {
"id": "WUA_ECON_25K_009502",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"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 ≈ 14.55. | {
"id": "WUA_ECON_25K_009503",
"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 ≈ -0.190. | {
"id": "WUA_ECON_25K_009504",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 47757.52. | {
"id": "WUA_ECON_25K_009505",
"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": "Consumer surplus (linear demand approxi... | CS ≈ 41501.88 (currency units). | {
"id": "WUA_ECON_25K_009506",
"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": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 34.943; Q* ≈ 649.971. | {
"id": "WUA_ECON_25K_009507",
"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": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 10.71. | {
"id": "WUA_ECON_25K_009508",
"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 ≈ 245.90. | {
"id": "WUA_ECON_25K_009509",
"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": "Compound amount: A = P(1+r)^n. P=36536.... | A ≈ 72531.49. | {
"id": "WUA_ECON_25K_009510",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 58681.44. | {
"id": "WUA_ECON_25K_009511",
"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": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 31.364; Q* ≈ 809.091. | {
"id": "WUA_ECON_25K_009512",
"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": "Consumer surplus (linear demand approxi... | CS ≈ 16001.32 (currency units). | {
"id": "WUA_ECON_25K_009513",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.099. | {
"id": "WUA_ECON_25K_009514",
"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": "Consumer surplus (linear demand approxi... | CS ≈ 32864.47 (currency units). | {
"id": "WUA_ECON_25K_009515",
"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 ≈ 8234.04. | {
"id": "WUA_ECON_25K_009516",
"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": "Compound amount: A = P(1+r)^n. P=21006.... | A ≈ 117820.80. | {
"id": "WUA_ECON_25K_009517",
"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": "Compound amount: A = P(1+r)^n. P=24604.... | A ≈ 30310.33. | {
"id": "WUA_ECON_25K_009518",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 2.579. | {
"id": "WUA_ECON_25K_009519",
"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": "Consumer surplus (linear demand approxi... | CS ≈ 204647.87 (currency units). | {
"id": "WUA_ECON_25K_009520",
"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 ≈ 27045.06. | {
"id": "WUA_ECON_25K_009521",
"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": "Compound amount: A = P(1+r)^n. P=23077.... | A ≈ 58594.10. | {
"id": "WUA_ECON_25K_009522",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.103. | {
"id": "WUA_ECON_25K_009523",
"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": "Consumer surplus (linear demand approxi... | CS ≈ 6538.49 (currency units). | {
"id": "WUA_ECON_25K_009524",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 2.238. | {
"id": "WUA_ECON_25K_009525",
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"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3606... | PV ≈ 6342.18. | {
"id": "WUA_ECON_25K_009526",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=26263.... | A ≈ 433448.38. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ -5.964; Q* ≈ 236.357. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -2.752. | {
"id": "WUA_ECON_25K_009529",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 53110.17 (currency units). | {
"id": "WUA_ECON_25K_009530",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 40.167; Q* ≈ 1105.833. | {
"id": "WUA_ECON_25K_009531",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=11528.... | A ≈ 42164.53. | {
"id": "WUA_ECON_25K_009532",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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"... | [
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{
"role": "system",
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 0.76%. | {
"id": "WUA_ECON_25K_009533",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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{
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{
"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 ≈ 139764.62 (currency units). | {
"id": "WUA_ECON_25K_009534",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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{
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{
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 8.59%. | {
"id": "WUA_ECON_25K_009535",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"... | [
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{
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 37750.12 (currency units). | {
"id": "WUA_ECON_25K_009536",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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"... | [
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 20306.53. | {
"id": "WUA_ECON_25K_009537",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 27.895; Q* ≈ 646.105. | {
"id": "WUA_ECON_25K_009538",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"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": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ -4.161; Q* ≈ 299.742. | {
"id": "WUA_ECON_25K_009539",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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{
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{
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=47145.... | A ≈ 109660.67. | {
"id": "WUA_ECON_25K_009540",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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... | [
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 36.629; Q* ≈ 448.571. | {
"id": "WUA_ECON_25K_009541",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 139.79. | {
"id": "WUA_ECON_25K_009542",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 147.77. | {
"id": "WUA_ECON_25K_009543",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.170. | {
"id": "WUA_ECON_25K_009544",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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"... | [
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{
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 49.625; Q* ≈ 706.750. | {
"id": "WUA_ECON_25K_009545",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 15920.32 (currency units). | {
"id": "WUA_ECON_25K_009546",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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{
"messages": [
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=49655.... | A ≈ 776641.00. | {
"id": "WUA_ECON_25K_009547",
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"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 21.09%. | {
"id": "WUA_ECON_25K_009548",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"content": "Present value: PV = FV/(1+r)^n. FV=2164... | PV ≈ 2204.10. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=4484... | PV ≈ 30152.52. | {
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},
{
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"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.090. | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 88920.52. | {
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 39460.75. | {
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3772... | PV ≈ 15566.15. | {
"id": "WUA_ECON_25K_009555",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 30456.14. | {
"id": "WUA_ECON_25K_009556",
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},
{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 178.42. | {
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 18165.52. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 212.26 (currency units). | {
"id": "WUA_ECON_25K_009559",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=16808.... | A ≈ 177242.89. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2664... | PV ≈ 20793.47. | {
"id": "WUA_ECON_25K_009561",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 15.69%. | {
"id": "WUA_ECON_25K_009562",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3492... | PV ≈ 15056.49. | {
"id": "WUA_ECON_25K_009563",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 57.750; Q* ≈ 562.000. | {
"id": "WUA_ECON_25K_009564",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=19632.... | A ≈ 22714.64. | {
"id": "WUA_ECON_25K_009565",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 57.15. | {
"id": "WUA_ECON_25K_009566",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=25299.... | A ≈ 141249.24. | {
"id": "WUA_ECON_25K_009567",
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"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 35430.74. | {
"id": "WUA_ECON_25K_009568",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 44.179. | {
"id": "WUA_ECON_25K_009569",
"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 ≈ -1.845. | {
"id": "WUA_ECON_25K_009570",
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"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 121633.48 (currency units). | {
"id": "WUA_ECON_25K_009571",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 96264.00 (currency units). | {
"id": "WUA_ECON_25K_009572",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 117.93%. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 10.572. | {
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"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 347.000; Q* ≈ 682.000. | {
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},
{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 95.38. | {
"id": "WUA_ECON_25K_009576",
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"subdomain": "econ_math::macro",
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=3144... | PV ≈ 23888.32. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 3.449. | {
"id": "WUA_ECON_25K_009578",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=4472... | PV ≈ 17687.77. | {
"id": "WUA_ECON_25K_009579",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -18.15%. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
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{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=4286... | PV ≈ 13365.99. | {
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"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 27385.30 (currency units). | {
"id": "WUA_ECON_25K_009582",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=9715... | PV ≈ 3185.17. | {
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"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 55135.21. | {
"id": "WUA_ECON_25K_009584",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 55.000; Q* ≈ 163.000. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 225964.23 (currency units). | {
"id": "WUA_ECON_25K_009586",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 50716.66 (currency units). | {
"id": "WUA_ECON_25K_009587",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 67.20%. | {
"id": "WUA_ECON_25K_009588",
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"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=22527.... | A ≈ 207890.58. | {
"id": "WUA_ECON_25K_009589",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 111.857; Q* ≈ 204.429. | {
"id": "WUA_ECON_25K_009590",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 33052.17. | {
"id": "WUA_ECON_25K_009591",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 352538.45 (currency units). | {
"id": "WUA_ECON_25K_009592",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 452.81. | {
"id": "WUA_ECON_25K_009593",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2612... | PV ≈ 11771.07. | {
"id": "WUA_ECON_25K_009594",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 134.143; Q* ≈ 427.714. | {
"id": "WUA_ECON_25K_009595",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
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"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 64809.87. | {
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