problem stringlengths 1.9k 5.02k | answer int64 16 907 | question_index int64 0 29 |
|---|---|---|
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \)... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) such that \( 17_b \) divides \( 97_b \). Hmm, okay... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem where I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: Find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \(... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \)... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to solve this problem where I have to find the sum of all integer bases \( b > 9 \) for which \( 17... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \)... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem where I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: Find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \(... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find all integer bases \( b > 9 \) where the number \( 17_b \) divides \( 97_b \). Hmm, let's br... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a div... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I have this problem: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) such that when 17 is written in base \( b \), it's... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Alright, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \)... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \( 97_b \). H... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem here: I need to find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is ... | 70 | 0 |
<｜begin▁of▁sentence｜><｜User｜>Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$\n\nPlease reason step by step, and put your final answer within \\boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: Find the sum of all integer bases \( b > 9 \) for which \( 17_b \) is a divisor of \(... | 70 | 0 |
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