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=16894.... | A ≈ 219740.01. | {
"id": "WUA_ECON_25K_009901",
"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": "Present value: PV = FV/(1+r)^n. FV=3332... | PV ≈ 20778.80. | {
"id": "WUA_ECON_25K_009902",
"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* ≈ 35.333; Q* ≈ 398.333. | {
"id": "WUA_ECON_25K_009903",
"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": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 26.14. | {
"id": "WUA_ECON_25K_009904",
"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 ≈ 105754.42 (currency units). | {
"id": "WUA_ECON_25K_009905",
"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 ≈ -95.514. | {
"id": "WUA_ECON_25K_009906",
"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 ≈ 24.82. | {
"id": "WUA_ECON_25K_009907",
"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 ≈ 210.89. | {
"id": "WUA_ECON_25K_009908",
"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 ≈ 27548.25. | {
"id": "WUA_ECON_25K_009909",
"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": "Consumer surplus (linear demand approxi... | CS ≈ 28903.61 (currency units). | {
"id": "WUA_ECON_25K_009910",
"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": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 54.483; Q* ≈ 262.276. | {
"id": "WUA_ECON_25K_009911",
"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": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 111.34. | {
"id": "WUA_ECON_25K_009912",
"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=38968.... | A ≈ 1529548.23. | {
"id": "WUA_ECON_25K_009913",
"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": "Consumer surplus (linear demand approxi... | CS ≈ 14199.12 (currency units). | {
"id": "WUA_ECON_25K_009914",
"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 ≈ 207.39. | {
"id": "WUA_ECON_25K_009915",
"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 ≈ 873.60 (currency units). | {
"id": "WUA_ECON_25K_009916",
"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* ≈ 41.226; Q* ≈ 870.839. | {
"id": "WUA_ECON_25K_009917",
"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 ≈ 118482.00 (currency units). | {
"id": "WUA_ECON_25K_009918",
"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 ≈ 0.106. | {
"id": "WUA_ECON_25K_009919",
"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": "Compound amount: A = P(1+r)^n. P=23043.... | A ≈ 213506.60. | {
"id": "WUA_ECON_25K_009920",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 22179.03. | {
"id": "WUA_ECON_25K_009921",
"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 ≈ 11752.59. | {
"id": "WUA_ECON_25K_009922",
"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 ≈ 41.15%. | {
"id": "WUA_ECON_25K_009923",
"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=2674... | PV ≈ 23751.65. | {
"id": "WUA_ECON_25K_009924",
"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"
}
] | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -2.590. | {
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=4443... | PV ≈ 25169.37. | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 257.286; Q* ≈ 985.429. | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 121.357; Q* ≈ 101.357. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 29724.18 (currency units). | {
"id": "WUA_ECON_25K_009929",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=1132... | PV ≈ 2062.24. | {
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 78779.09. | {
"id": "WUA_ECON_25K_009931",
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"subdomain": "econ_math::macro",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.471. | {
"id": "WUA_ECON_25K_009932",
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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 ≈ 0.611. | {
"id": "WUA_ECON_25K_009933",
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"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=8439.9... | A ≈ 13471.23. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=23840.... | A ≈ 35673.33. | {
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"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3216... | PV ≈ 11735.26. | {
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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 ≈ 35334.52 (currency units). | {
"id": "WUA_ECON_25K_009937",
"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* ≈ 56.227; Q* ≈ 771.591. | {
"id": "WUA_ECON_25K_009938",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 69.39%. | {
"id": "WUA_ECON_25K_009939",
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"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=31896.... | A ≈ 65921.26. | {
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"subdomain": "econ_math::finance",
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},
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"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=49679.... | A ≈ 938859.02. | {
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{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2171... | PV ≈ 828.99. | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 89.333; Q* ≈ 789.667. | {
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},
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"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 94635.68 (currency units). | {
"id": "WUA_ECON_25K_009944",
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"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=4052... | PV ≈ 35819.53. | {
"id": "WUA_ECON_25K_009945",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 35.06. | {
"id": "WUA_ECON_25K_009946",
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"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.422. | {
"id": "WUA_ECON_25K_009947",
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"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 1919.17 (currency units). | {
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"subdomain": "econ_math::micro",
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{
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 197.76. | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 21.226; Q* ≈ 613.484. | {
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=6486... | PV ≈ 2971.36. | {
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},
{
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -17.44%. | {
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 14268.35. | {
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{
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"content": "Compound amount: A = P(1+r)^n. P=2674.3... | A ≈ 14508.19. | {
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},
{
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -22.58%. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=8708... | PV ≈ 7479.67. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.864. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 303251.20 (currency units). | {
"id": "WUA_ECON_25K_009958",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=34348.... | A ≈ 55419.89. | {
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=4632... | PV ≈ 7739.50. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -1.789. | {
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=12717.... | A ≈ 26925.71. | {
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},
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 22.47%. | {
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},
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 188058.23 (currency units). | {
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"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=5712.0... | A ≈ 9046.19. | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 43.353; Q* ≈ 614.882. | {
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"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=5768.5... | A ≈ 297461.62. | {
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 47303.79. | {
"id": "WUA_ECON_25K_009968",
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"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3136... | PV ≈ 3115.86. | {
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"subdomain": "econ_math::finance",
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 174.49%. | {
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"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* ≈ -3.889; Q* ≈ 403.889. | {
"id": "WUA_ECON_25K_009971",
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"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2005... | PV ≈ 11431.86. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.429. | {
"id": "WUA_ECON_25K_009973",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 79920.49. | {
"id": "WUA_ECON_25K_009974",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=30357.... | A ≈ 186783.43. | {
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"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.254. | {
"id": "WUA_ECON_25K_009976",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=4244... | PV ≈ 13031.91. | {
"id": "WUA_ECON_25K_009977",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=27902.... | A ≈ 3582491.58. | {
"id": "WUA_ECON_25K_009978",
"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=4365... | PV ≈ 1027.64. | {
"id": "WUA_ECON_25K_009979",
"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* ≈ 50.312; Q* ≈ 701.250. | {
"id": "WUA_ECON_25K_009980",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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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 ≈ 1115.26 (currency units). | {
"id": "WUA_ECON_25K_009981",
"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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"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 ≈ 106.02%. | {
"id": "WUA_ECON_25K_009982",
"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 ≈ 0.755. | {
"id": "WUA_ECON_25K_009983",
"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=21767.... | A ≈ 33157.36. | {
"id": "WUA_ECON_25K_009984",
"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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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 60.037; Q* ≈ 867.556. | {
"id": "WUA_ECON_25K_009985",
"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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},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -29.95%. | {
"id": "WUA_ECON_25K_009986",
"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": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 64.800; Q* ≈ 262.400. | {
"id": "WUA_ECON_25K_009987",
"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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"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=43839.... | A ≈ 59422.51. | {
"id": "WUA_ECON_25K_009988",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -25.210. | {
"id": "WUA_ECON_25K_009989",
"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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"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=6981... | PV ≈ 525.62. | {
"id": "WUA_ECON_25K_009990",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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... | [
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{
"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=3085... | PV ≈ 13232.46. | {
"id": "WUA_ECON_25K_009991",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 51486.49. | {
"id": "WUA_ECON_25K_009992",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "advanced",
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"wrapper": "minimal_chain",
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"... | [
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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": "Compound amount: A = P(1+r)^n. P=17906.... | A ≈ 30022.97. | {
"id": "WUA_ECON_25K_009993",
"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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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 49.58. | {
"id": "WUA_ECON_25K_009994",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=42160.... | A ≈ 169771.01. | {
"id": "WUA_ECON_25K_009995",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.867. | {
"id": "WUA_ECON_25K_009996",
"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",
"... | [
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{
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"content": "Compound amount: A = P(1+r)^n. P=21407.... | A ≈ 30585.67. | {
"id": "WUA_ECON_25K_009997",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 94532.01. | {
"id": "WUA_ECON_25K_009998",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "core",
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"created_utc": "2026-01-04T05:12:40",
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"tags... | [
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},
{
"role": "user",
"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 44.93. | {
"id": "WUA_ECON_25K_009999",
"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": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 92.31%. | {
"id": "WUA_ECON_25K_010000",
"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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} |
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