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8 lines
No EOL
1.9 KiB
JSON
8 lines
No EOL
1.9 KiB
JSON
{
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"question": "Comet Halley orbits the sun every 75 years. Bill's dad saw the Comet when he was 30 years old. Bill saw the comet a second time when he was three times the age his father was when he saw the Comet. How old was Bill when he saw the Comet for the first time?",
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"answer": "Bill saw the Comet for the second time when he was 30 years * 3= <<30*3=90>>90 years old.\nComet Halley can be seen every 75 years, so Bill saw the comet for the first time when he was 90 years - 75 years = <<90-75=15>>15 years old.\n#### 15",
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"id_orig": 991,
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"id_shuffled": 73,
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"question_annotated": "Comet {comet_name} orbits the sun every {orbit_period} years. {name}'s {relative} saw the Comet when he was {relative_age} years old. {name} saw the comet a second time when he was {multiple} the age his {relative} was when he saw the Comet. How old was {name} when he saw the Comet for the first time?\n\n#init:\n- comet_name = sample(['Halley', 'Hale-Bopp', 'Hyakutake', 'Encke'])\n- name = sample(names_male)\n- relative = sample(['dad', 'father', 'uncle', 'grandfather'])\n- $orbit_period = range(50, 101, 5)\n- $relative_age = range(20, 51)\n- $multiple = sample(multi_times)\n\n#conditions:\n- multiple * relative_age < 100\n- multiple * relative_age > orbit_period\n- is_int(multiple * relative_age - orbit_period)\n\n#answer: multiple * relative_age - orbit_period",
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"answer_annotated": "{name} saw the Comet for the second time when he was {relative_age} years * {multiple}= <<{relative_age}*{multiple}={relative_age*multiple}>>{relative_age*multiple} years old.\nComet {comet_name} can be seen every {orbit_period} years, so {name} saw the comet for the first time when he was {relative_age*multiple} years - {orbit_period} years = <<{relative_age*multiple}-{orbit_period}={relative_age*multiple-orbit_period}>>{relative_age*multiple-orbit_period} years old.\n#### {relative_age*multiple-orbit_period}"
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} |