MSMS-CoT-SFT
Collection
2 items • Updated • 1
id stringclasses 800
values | input stringclasses 792
values | output stringlengths 606 1.24M | source stringclasses 1
value | correct bool 2
classes | usage stringlengths 51 54 |
|---|---|---|---|---|---|
0 | Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer, what value of \( x \) will make \( m \) a composite number? | <think> Alright, so I've got this math problem here: Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer. I need to figure out what value of \( x \) will make \( m \) a composite number. Hmm, okay. Let's break this down step by step.
First off, let's make sure I und... | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":7518} |
0 | Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer, what value of \( x \) will make \( m \) a composite number? | <think> Alright, so I've got this problem here: Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer. I need to figure out what value of \( x \) will make \( m \) a composite number. Hmm, okay. Let me break this down step by step.
First, let me make sure I understand... | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":10680} |
0 | Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer, what value of \( x \) will make \( m \) a composite number? | <think> Alright, so I have this problem here: Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer. I need to find what value of \( x \) will make \( m \) a composite number. Hmm, okay. Let me try to break this down.
First, let's recall what a composite number is. A ... | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":7150} |
0 | Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer, what value of \( x \) will make \( m \) a composite number? | <think> Alright, so I've got this problem here: Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer. I need to find the value of \( x \) that will make \( m \) a composite number. Hmm, okay. Let me think about how to approach this.
First off, I know that a composite... | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":10718} |
0 | Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer, what value of \( x \) will make \( m \) a composite number? | <think> Alright, let's try to figure out this problem. So, we have \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer. We need to find the value of \( x \) that makes \( m \) a composite number. Hmm, okay.
First, let me understand the problem correctly. We're given an eq... | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":5658} |
0 | Given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer, what value of \( x \) will make \( m \) a composite number? | <think> Okay, so I have this problem here: given \( m = n^{4} + x \), where \( n \) is a natural number and \( x \) is a two-digit positive integer. I need to find the value of \( x \) that will make \( m \) a composite number. Hmm, interesting. Let me try to figure this out step by step.
First, let's make sure I unde... | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":10862} |
0 | "Given \\( m = n^{4} + x \\), where \\( n \\) is a natural number and \\( x \\) is a two-digit posit(...TRUNCATED) | "<think> Alright, so I have this problem here: Given \\( m = n^{4} + x \\), where \\( n \\) is a nat(...TRUNCATED) | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":23611} |
0 | "Given \\( m = n^{4} + x \\), where \\( n \\) is a natural number and \\( x \\) is a two-digit posit(...TRUNCATED) | "<think> Okay, so I have this problem here: Given \\( m = n^{4} + x \\), where \\( n \\) is a natura(...TRUNCATED) | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":20244} |
0 | "Given \\( m = n^{4} + x \\), where \\( n \\) is a natural number and \\( x \\) is a two-digit posit(...TRUNCATED) | "<think> Okay, so I have this problem: Given \\( m = n^{4} + x \\), where \\( n \\) is a natural num(...TRUNCATED) | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":8537} |
0 | "Given \\( m = n^{4} + x \\), where \\( n \\) is a natural number and \\( x \\) is a two-digit posit(...TRUNCATED) | "<think> Okay, so I have this problem here: Given \\( m = n^{4} + x \\), where \\( n \\) is a natura(...TRUNCATED) | DeepSeek-R1-Distill-Qwen-32B | false | {"input_token_length":55,"output_token_length":11628} |
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