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abdulhakeem 2025-01-30 23:44:12 -06:00
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reasoning_gym/data/gsm_data/symbolic/0072.json Normal file
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{
"question": "Mike was a pen pal with 5 people. He stopped being penpals with 2 of them. They each send 2 letters a week that are 5 pages long. He responds in kind. He can write a page every 6 minutes. How many hours does he spend writing a week?",
"answer": "He is penpals with 5-2=<<5-2=3>>3 people\nThus he gets 3*2=<<3*2=6>>6 letters a week\nSo he writes 6*5=<<6*5=30>>30 pages a week\nSo he writes for 30*6=<<30*6=180>>180 minutes a week\nSo he writes 180/60=<<180/60=3>>3 hours a week\n#### 3",
"id_orig": 242,
"id_shuffled": 72,
"question_annotated": "{name,Mike} was a pen pal with {n1,5} people. He stopped being penpals with {n2,2} of them. They each send {l,2} letters a week that are {p,5} pages long. He responds in kind. He can write a page every {t,6} minutes. How many hours does he spend writing a week?\n\n#init:\n- name = sample(names_male)\n- $n1 = range(5, 15)\n- $n2 = range(1, 5)\n- $l = range(2, 5)\n- $p = range(5, 12)\n- $t = range(4, 15)\n\n#conditions:\n- n2 < n1\n- is_int(((n1 - n2) * l * p * t) / 60)\n\n#answer: ((n1 - n2) * l * p * t) // 60",
"answer_annotated": "{name} is penpals with {n1}-{n2}=<<{n1}-{n2}={n1-n2}>>{n1-n2} people\nThus he gets {n1-n2}*{l}=<<{n1-n2}*{l}={(n1-n2)*l}>>{(n1-n2)*l} letters a week\nSo he writes {(n1-n2)*l}*{p}=<<{(n1-n2)*l}*{p}={((n1-n2)*l*p)}>>{((n1-n2)*l*p)} pages a week\nSo he writes for {((n1-n2)*l*p)}*{t}=<<{((n1-n2)*l*p)}*{t}={((n1-n2)*l*p*t)}>>{((n1-n2)*l*p*t)} minutes a week\nSo he writes {((n1-n2)*l*p*t)}/60=<<{((n1-n2)*l*p*t)}/60={((n1-n2)*l*p*t)//60}>>{((n1-n2)*l*p*t)//60} hours a week\n#### {((n1-n2)*l*p*t)//60}"
}