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": "Consumer surplus (linear demand approxi... | CS ≈ 174592.42 (currency units). | {
"id": "WUA_ECON_25K_013601",
"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=43054.... | A ≈ 73287.23. | {
"id": "WUA_ECON_25K_013602",
"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* ≈ 13.833; Q* ≈ 468.833. | {
"id": "WUA_ECON_25K_013603",
"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": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -2.68%. | {
"id": "WUA_ECON_25K_013604",
"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": "Present value: PV = FV/(1+r)^n. FV=3434... | PV ≈ 19278.96. | {
"id": "WUA_ECON_25K_013605",
"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 ≈ 1.528. | {
"id": "WUA_ECON_25K_013606",
"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* ≈ 2.290; Q* ≈ 522.774. | {
"id": "WUA_ECON_25K_013607",
"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* ≈ 100.188; Q* ≈ 342.750. | {
"id": "WUA_ECON_25K_013608",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -23.77%. | {
"id": "WUA_ECON_25K_013609",
"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": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -3.154. | {
"id": "WUA_ECON_25K_013610",
"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": "Present value: PV = FV/(1+r)^n. FV=2370... | PV ≈ 1205.47. | {
"id": "WUA_ECON_25K_013611",
"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": "Compound amount: A = P(1+r)^n. P=17727.... | A ≈ 64845.59. | {
"id": "WUA_ECON_25K_013612",
"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 ≈ 7173.07. | {
"id": "WUA_ECON_25K_013613",
"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=11347.... | A ≈ 33701.92. | {
"id": "WUA_ECON_25K_013614",
"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": "Compound amount: A = P(1+r)^n. P=3491.0... | A ≈ 5180.61. | {
"id": "WUA_ECON_25K_013615",
"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": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 61406.18. | {
"id": "WUA_ECON_25K_013616",
"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 ≈ 54458.50. | {
"id": "WUA_ECON_25K_013617",
"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* ≈ 58.828; Q* ≈ 923.931. | {
"id": "WUA_ECON_25K_013618",
"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 ≈ 157456.45 (currency units). | {
"id": "WUA_ECON_25K_013619",
"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": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 91.49%. | {
"id": "WUA_ECON_25K_013620",
"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": "Present value: PV = FV/(1+r)^n. FV=2756... | PV ≈ 3278.11. | {
"id": "WUA_ECON_25K_013621",
"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": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 167.59%. | {
"id": "WUA_ECON_25K_013622",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:12:40",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:12:40"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Economics Quantitative/Structured Reasoning. Use the information in the prompt. Show minimal steps and give the final answer."
},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 60334.26. | {
"id": "WUA_ECON_25K_013623",
"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 ≈ 53668.03 (currency units). | {
"id": "WUA_ECON_25K_013624",
"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",
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 36.95%. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 40.47%. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=2133... | PV ≈ 4476.09. | {
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 71.815; Q* ≈ 613.333. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -4.750. | {
"id": "WUA_ECON_25K_013630",
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"content": "Present value: PV = FV/(1+r)^n. FV=2411... | PV ≈ 10132.34. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=4608... | PV ≈ 8204.91. | {
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{
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"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.621. | {
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"subdomain": "econ_math::micro",
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"content": "Present value: PV = FV/(1+r)^n. FV=3667... | PV ≈ 1695.64. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=2829... | PV ≈ 25261.48. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 110.36%. | {
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 339.21. | {
"id": "WUA_ECON_25K_013637",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=3385.6... | A ≈ 4407.67. | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 32780.11. | {
"id": "WUA_ECON_25K_013639",
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},
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"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 152243.35 (currency units). | {
"id": "WUA_ECON_25K_013640",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 152805.60 (currency units). | {
"id": "WUA_ECON_25K_013641",
"domain": "master_scholars_academics",
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 2039.29. | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 5317.96. | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 55636.28. | {
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 37635.75 (currency units). | {
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"content": "Present value: PV = FV/(1+r)^n. FV=3899... | PV ≈ 34964.84. | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 46591.64. | {
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 40588.01. | {
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 25896.86 (currency units). | {
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 95.96. | {
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 48.00. | {
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -15.66%. | {
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"content": "GDP deflator = (Nominal GDP / Real GDP)... | Deflator ≈ 132.94. | {
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},
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"content": "Consumer surplus (linear demand approxi... | CS ≈ 47879.44 (currency units). | {
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},
{
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -23.29%. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 2.719. | {
"id": "WUA_ECON_25K_013660",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=40853.... | A ≈ 266586.76. | {
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=3055... | PV ≈ 510.37. | {
"id": "WUA_ECON_25K_013662",
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -17.70%. | {
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"task": "quantitative_or_structured_reasoning",
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"content": "Present value: PV = FV/(1+r)^n. FV=4124... | PV ≈ 6449.81. | {
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},
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"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 40593.12 (currency units). | {
"id": "WUA_ECON_25K_013665",
"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* ≈ 7.515; Q* ≈ 448.758. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 107415.90 (currency units). | {
"id": "WUA_ECON_25K_013667",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -0.540. | {
"id": "WUA_ECON_25K_013668",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=9841... | PV ≈ 9032.48. | {
"id": "WUA_ECON_25K_013669",
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},
{
"role": "user",
"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 25074.52. | {
"id": "WUA_ECON_25K_013670",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"content": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ -19.07%. | {
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"content": "Present value: PV = FV/(1+r)^n. FV=4101... | PV ≈ 26031.21. | {
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{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 21679.69. | {
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},
{
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"content": "Present value: PV = FV/(1+r)^n. FV=2479... | PV ≈ 22523.27. | {
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},
{
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"content": "Compound amount: A = P(1+r)^n. P=12155.... | A ≈ 23613.35. | {
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ -1.025. | {
"id": "WUA_ECON_25K_013676",
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 46079.86. | {
"id": "WUA_ECON_25K_013677",
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.764. | {
"id": "WUA_ECON_25K_013678",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 43.522; Q* ≈ 1026.913. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Linear equilibrium: Qd=a-bP, Qs=c+dP. a... | P* ≈ 33.917; Q* ≈ 277.667. | {
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},
{
"role": "user",
"content": "Consumer surplus (linear demand approxi... | CS ≈ 2894.16 (currency units). | {
"id": "WUA_ECON_25K_013681",
"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* ≈ 37.714; Q* ≈ 474.286. | {
"id": "WUA_ECON_25K_013682",
"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 ≈ 75211.60. | {
"id": "WUA_ECON_25K_013683",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=20344.... | A ≈ 90475.07. | {
"id": "WUA_ECON_25K_013684",
"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": "Inflation rate ≈ (CPI2 - CPI1)/CPI1 × 1... | Inflation ≈ 67.65%. | {
"id": "WUA_ECON_25K_013685",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=21380.... | A ≈ 36353.71. | {
"id": "WUA_ECON_25K_013686",
"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* ≈ 60.333; Q* ≈ 960.333. | {
"id": "WUA_ECON_25K_013687",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=42462.... | A ≈ 91110.77. | {
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... | [
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},
{
"role": "user",
"content": "Present value: PV = FV/(1+r)^n. FV=2239... | PV ≈ 2352.35. | {
"id": "WUA_ECON_25K_013689",
"domain": "master_scholars_academics",
"subdomain": "econ_math::finance",
"task": "quantitative_or_structured_reasoning",
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"... | [
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=3959.5... | A ≈ 27841.83. | {
"id": "WUA_ECON_25K_013690",
"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* ≈ 29.038; Q* ≈ 540.231. | {
"id": "WUA_ECON_25K_013691",
"domain": "master_scholars_academics",
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{
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},
{
"role": "user",
"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.863. | {
"id": "WUA_ECON_25K_013692",
"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 ≈ 73476.75 (currency units). | {
"id": "WUA_ECON_25K_013693",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
"task": "quantitative_or_structured_reasoning",
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{
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},
{
"role": "user",
"content": "Compound amount: A = P(1+r)^n. P=13936.... | A ≈ 86014.67. | {
"id": "WUA_ECON_25K_013694",
"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=4159... | PV ≈ 2462.29. | {
"id": "WUA_ECON_25K_013695",
"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 ≈ -2.792. | {
"id": "WUA_ECON_25K_013696",
"domain": "master_scholars_academics",
"subdomain": "econ_math::micro",
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"content": "Compound amount: A = P(1+r)^n. P=13938.... | A ≈ 362062.93. | {
"id": "WUA_ECON_25K_013697",
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{
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"content": "Present value: PV = FV/(1+r)^n. FV=3012... | PV ≈ 11296.41. | {
"id": "WUA_ECON_25K_013698",
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"subdomain": "econ_math::finance",
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},
{
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"content": "Real GDP = Nominal GDP / (Deflator/100)... | Real GDP ≈ 16671.98. | {
"id": "WUA_ECON_25K_013699",
"domain": "master_scholars_academics",
"subdomain": "econ_math::macro",
"task": "quantitative_or_structured_reasoning",
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"... | [
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"content": "Midpoint price elasticity: E = (ΔQ/Qavg... | E ≈ 0.099. | {
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"subdomain": "econ_math::micro",
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