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": "Present value: PV = FV/(1+r)^n. FV=164.... | PV ≈ 58.86. | {
"id": "WUA_ECON_25K_008901",
"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=14182.... | A ≈ 15246.49. | {
"id": "WUA_ECON_25K_008902",
"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 ≈ 315.75. | {
"id": "WUA_ECON_25K_008903",
"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* ≈ 24.667; Q* ≈ 122.000. | {
"id": "WUA_ECON_25K_008904",
"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=9141.4... | A ≈ 25311.95. | {
"id": "WUA_ECON_25K_008905",
"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": "Present value: PV = FV/(1+r)^n. FV=3429... | PV ≈ 13558.08. | {
"id": "WUA_ECON_25K_008906",
"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* ≈ 48.607; Q* ≈ 983.536. | {
"id": "WUA_ECON_25K_008907",
"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 ≈ -20.794. | {
"id": "WUA_ECON_25K_008908",
"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": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 21.35. | {
"id": "WUA_ECON_25K_008909",
"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 ≈ 95.52. | {
"id": "WUA_ECON_25K_008910",
"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* ≈ 84.857; Q* ≈ 1307.857. | {
"id": "WUA_ECON_25K_008911",
"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 ≈ 32085.34. | {
"id": "WUA_ECON_25K_008912",
"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": "Present value: PV = FV/(1+r)^n. FV=4824... | PV ≈ 43880.67. | {
"id": "WUA_ECON_25K_008913",
"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 ≈ -2.698. | {
"id": "WUA_ECON_25K_008914",
"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 ≈ 35288.07 (currency units). | {
"id": "WUA_ECON_25K_008915",
"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 ≈ 175.10. | {
"id": "WUA_ECON_25K_008916",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.855. | {
"id": "WUA_ECON_25K_008917",
"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 ≈ 1.996. | {
"id": "WUA_ECON_25K_008918",
"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* ≈ 58.750; Q* ≈ 559.250. | {
"id": "WUA_ECON_25K_008919",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.503. | {
"id": "WUA_ECON_25K_008920",
"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 ≈ 19431.45. | {
"id": "WUA_ECON_25K_008921",
"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 ≈ 43.03. | {
"id": "WUA_ECON_25K_008922",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 40935.67. | {
"id": "WUA_ECON_25K_008923",
"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=27722.... | A ≈ 149678.36. | {
"id": "WUA_ECON_25K_008924",
"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"
}
] | {
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=29009.... | A ≈ 536111.36. | {
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 100.63. | {
"id": "WUA_ECON_25K_008926",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 598.14 (currency units). | {
"id": "WUA_ECON_25K_008927",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=4459... | PV ≈ 24204.19. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 13886.53 (currency units). | {
"id": "WUA_ECON_25K_008929",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 17439.15 (currency units). | {
"id": "WUA_ECON_25K_008930",
"domain": "master_scholars_academics",
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"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 111.500; Q* ≈ -246.500. | {
"id": "WUA_ECON_25K_008931",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=45964.... | A ≈ 222546.36. | {
"id": "WUA_ECON_25K_008932",
"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": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 66.000; Q* ≈ 1.000. | {
"id": "WUA_ECON_25K_008933",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"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* ≈ 70.357; Q* ≈ 64.500. | {
"id": "WUA_ECON_25K_008934",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 8514.49. | {
"id": "WUA_ECON_25K_008935",
"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": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 148.92. | {
"id": "WUA_ECON_25K_008936",
"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* ≈ 36.963; Q* ≈ 292.259. | {
"id": "WUA_ECON_25K_008937",
"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=20924.... | A ≈ 65460.52. | {
"id": "WUA_ECON_25K_008938",
"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=3724... | PV ≈ 3303.09. | {
"id": "WUA_ECON_25K_008939",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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"... | [
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2529... | PV ≈ 14417.32. | {
"id": "WUA_ECON_25K_008940",
"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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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2963... | PV ≈ 2540.10. | {
"id": "WUA_ECON_25K_008941",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -1.089. | {
"id": "WUA_ECON_25K_008942",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"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* ≈ 325.600; Q* ≈ 765.200. | {
"id": "WUA_ECON_25K_008943",
"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 ≈ 19220.06. | {
"id": "WUA_ECON_25K_008944",
"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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"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=14834.... | A ≈ 861866.79. | {
"id": "WUA_ECON_25K_008945",
"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 ≈ 75788.18. | {
"id": "WUA_ECON_25K_008946",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 66.74. | {
"id": "WUA_ECON_25K_008947",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 33694.45. | {
"id": "WUA_ECON_25K_008948",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.574. | {
"id": "WUA_ECON_25K_008949",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 71.267; Q* ≈ 902.133. | {
"id": "WUA_ECON_25K_008950",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 133086.01 (currency units). | {
"id": "WUA_ECON_25K_008951",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 48563.23. | {
"id": "WUA_ECON_25K_008952",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 73.02%. | {
"id": "WUA_ECON_25K_008953",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 37.37. | {
"id": "WUA_ECON_25K_008954",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 101408.69 (currency units). | {
"id": "WUA_ECON_25K_008955",
"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": "Present value: PV = FV/(1+r)^n. FV=1914... | PV ≈ 15106.62. | {
"id": "WUA_ECON_25K_008956",
"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* ≈ 189.444; Q* ≈ 321.889. | {
"id": "WUA_ECON_25K_008957",
"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": "Compound amount: A = P(1+r)^n. P=23314.... | A ≈ 658839.50. | {
"id": "WUA_ECON_25K_008958",
"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 ≈ 156347.78 (currency units). | {
"id": "WUA_ECON_25K_008959",
"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=4558... | PV ≈ 31906.34. | {
"id": "WUA_ECON_25K_008960",
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"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=22076.... | A ≈ 123824.94. | {
"id": "WUA_ECON_25K_008961",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.007. | {
"id": "WUA_ECON_25K_008962",
"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* ≈ 64.500; Q* ≈ 631.000. | {
"id": "WUA_ECON_25K_008963",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"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* ≈ 237.875; Q* ≈ 191.875. | {
"id": "WUA_ECON_25K_008964",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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{
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 186.09. | {
"id": "WUA_ECON_25K_008965",
"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* ≈ 98.750; Q* ≈ 608.250. | {
"id": "WUA_ECON_25K_008966",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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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* ≈ 60.889; Q* ≈ 129.222. | {
"id": "WUA_ECON_25K_008967",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 65106.09. | {
"id": "WUA_ECON_25K_008968",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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{
"messages": [
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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 ≈ -285.188. | {
"id": "WUA_ECON_25K_008969",
"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": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 328.91. | {
"id": "WUA_ECON_25K_008970",
"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 ≈ 0.614. | {
"id": "WUA_ECON_25K_008971",
"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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{
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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 ≈ 52.72%. | {
"id": "WUA_ECON_25K_008972",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 5746.90. | {
"id": "WUA_ECON_25K_008973",
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=2450... | PV ≈ 1483.37. | {
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 66486.44. | {
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 84333.21. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 64871.84 (currency units). | {
"id": "WUA_ECON_25K_008977",
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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* ≈ 100.929; Q* ≈ 1691.071. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.614. | {
"id": "WUA_ECON_25K_008979",
"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 ≈ -0.879. | {
"id": "WUA_ECON_25K_008980",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 68.12%. | {
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"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* ≈ 17.840; Q* ≈ 312.120. | {
"id": "WUA_ECON_25K_008982",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=2997.8... | A ≈ 6142.51. | {
"id": "WUA_ECON_25K_008983",
"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 ≈ -22.03%. | {
"id": "WUA_ECON_25K_008984",
"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=1615... | PV ≈ 6072.40. | {
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"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 168341.89 (currency units). | {
"id": "WUA_ECON_25K_008986",
"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 ≈ 62065.80 (currency units). | {
"id": "WUA_ECON_25K_008987",
"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=2072... | PV ≈ 3785.48. | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 10.190; Q* ≈ 260.952. | {
"id": "WUA_ECON_25K_008989",
"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 ≈ 63142.12 (currency units). | {
"id": "WUA_ECON_25K_008990",
"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 ≈ -44.53%. | {
"id": "WUA_ECON_25K_008991",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.156. | {
"id": "WUA_ECON_25K_008992",
"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 ≈ 66672.32 (currency units). | {
"id": "WUA_ECON_25K_008993",
"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 ≈ 169206.35 (currency units). | {
"id": "WUA_ECON_25K_008994",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "advanced",
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{
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -62.45%. | {
"id": "WUA_ECON_25K_008995",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 248.45. | {
"id": "WUA_ECON_25K_008996",
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"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 73.24. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=3548... | PV ≈ 3962.82. | {
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"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.278. | {
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