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sft_v1/teach/gq_g3_1791488404_00112.jsonl
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{"prompt": "Question: Fill the blank with the grammatically correct form: \"Neither the spirits nor the caretaker ___ (was/were) seen leaving the abandoned station.\"\nAnswer:", "response": " Subject is a compound with neither...nor.\nRule: verb agrees with the noun closest to it.\nClosest noun: caretaker (singular).\nTherefore singular verb \"was\".\n#### was", "source": "gq_language", "level": "general"}
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{"prompt": "Question: Entailment: If \"The cursed map leads wanderers into limbo,\" does the sentence \"Some wanderers are led into limbo\" logically follow?\nAnswer:", "response": " Premise states all wanderers who follow the cursed map are led into limbo.\nConclusion states some wanderers are led into limbo.\nSince \"all\" implies \"some,\" the conclusion is true.\n#### yes", "source": "gq_language", "level": "general"}
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{"prompt": "Question: In the legend, a \"whispering wall\" repeats any secret spoken to it. Which word best completes the sentence: \"The wall ___ the secret back to the listener\"?\nOptions: echoes, repeats, mirrors\nAnswer:", "response": " Echoes implies sound reflection, fits a wall.\nRepeats is generic but less vivid.\nMirrors suggests visual, not auditory.\nBest fit: echoes.\n#### echoes", "source": "gq_language", "level": "general"}
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{"prompt": "Question: Alice Cling says, \"All the books on the top shelf are about gardening. This book is on the top shelf, so it is about gardening.\" Does the conclusion follow?\nAnswer:", "response": " Premise: All books on top shelf → about gardening.\nPremise: This book is on top shelf.\nConclusion: This book is about gardening.\nForm matches universal modus ponens.\nConclusion follows.\n#### Yes", "source": "gq_argument", "level": "general"}
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{"prompt": "Question: Alice Cling says, \"If we adopt policy X, the economy will grow. We adopted policy X, so the economy will grow.\" Assuming policy X was adopted, does the conclusion necessarily follow?\nAnswer:", "response": " Premise: If policy X, then economy grows.\nPremise: Policy X adopted.\nConclusion: Economy grows.\nStructure = modus ponens; valid if premise true.\nConclusion follows.\n#### Yes", "source": "gq_argument", "level": "general"}
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{"prompt": "Question: Alice Cling asserts that because the mayor voted against the bill, the bill is unconstitutional. What is the flaw?\nAnswer:", "response": " Premise: Mayor voted against bill.\nConclusion: Bill is unconstitutional.\nNo logical connection; irrelevant authority.\nError: Argument from authority / non sequitur.\n#### Non sequitur", "source": "gq_argument", "level": "general"}
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{"prompt": "Question: If the arena capacity was 12,000 seats and the average ticket price was $35, estimate the total revenue in US dollars, then convert it to Japanese yen using an exchange rate of 1 USD = 150 JPY.\nAnswer:", "response": " 12,000 × $35 = $420,000.\n$420,000 × 150 JPY/USD = 63,000,000 JPY.\n#### 63,000,000 JPY", "source": "gq_estimation", "level": "general"}
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{"prompt": "Question: The 2022 FIBA Asia Cup used 7‑second inbound clocks. How many total seconds did all inbound clocks run during the tournament if there were 30 games and each game had an average of 8 inbound plays per team?\nAnswer:", "response": " 8 inbound plays/team × 2 teams = 16 per game.\n30 games × 16 = 480 inbound plays.\n480 × 7 s = 3,360 s.\n#### 3,360 s", "source": "gq_estimation", "level": "general"}
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{"prompt": "Question: If the official basketball weight is 0.62 kg, estimate the total mass of all balls used in the tournament (same 120 balls as above) and express it in metric tons (1 ton = 1,000 kg).\nAnswer:", "response": " 120 balls × 0.62 kg = 74.4 kg.\n74.4 kg ÷ 1,000 = 0.0744 tons.\n#### 0.0744 tons", "source": "gq_estimation", "level": "general"}
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{"prompt": "Question: Sivakarthikeyan’s fan base grew from 1.2 million to 2.5 million over 3 years. Assuming exponential growth, what is the approximate annual growth factor (to two decimal places)?\nAnswer:", "response": " Growth factor total = 2.5 ÷ 1.2 ≈ 2.08333\nAnnual factor = (2.08333)^(1/3)\nCube root ≈ 1.27 (since 1.27³ ≈ 2.04, close enough)\nRounded = 1.27\n#### 1.27", "source": "gq_wordproblem", "level": "general"}
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