Dataset Card for my-distiset-0b968ac5

This dataset has been created with distilabel.

Dataset Summary

This dataset contains a pipeline.yaml which can be used to reproduce the pipeline that generated it in distilabel using the distilabel CLI:

distilabel pipeline run --config "https://huggingface.co/datasets/hugmah/my-distiset-0b968ac5/raw/main/pipeline.yaml"

or explore the configuration:

distilabel pipeline info --config "https://huggingface.co/datasets/hugmah/my-distiset-0b968ac5/raw/main/pipeline.yaml"

Dataset structure

The examples have the following structure per configuration:

Configuration: default

---

{
    "answer": "\u5f53\u7136\u53ef\u4ee5\uff01\u6211\u4eec\u6765\u4e00\u6b65\u6b65\u5206\u6790\u548c\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u3002\n\n\u9898\u76ee\u8bf4\u7684\u662f\uff1a\u5982\u679c\u4e00\u4e2a\u6570\u9664\u4ee53\u540e\u4f592\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6570\u9664\u4ee55\u7684\u4f59\u6570\u662f\u591a\u5c11\uff1f\n\n\u9996\u5148\uff0c\u6211\u4eec\u53ef\u4ee5\u8bbe\u8fd9\u4e2a\u672a\u77e5\u6570\u4e3a $xx$\u3002\u6839\u636e\u9898\u610f\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\uff1a\n\\[ x = 3n + 2 \\]\n\u5176\u4e2d $nn$ \u662f\u67d0\u4e2a\u6574\u6570\u3002\n\n\u6211\u4eec\u7684\u76ee\u6807\u662f\u627e\u51fa $xx$ \u9664\u4ee55\u540e\u7684\u4f59\u6570\u3002\u6211\u4eec\u9700\u8981\u5c1d\u8bd5\u4e0d\u540c\u7684\u503c\u6765\u5bfb\u627e\u89c4\u5f8b\u3002\n\n\u6211\u4eec\u5148\u4e3e\u51e0\u4e2a\u4f8b\u5b50\uff1a\n\n1. \u5982\u679c $n=0n=0$, \u5219 $x=3\ast 0+2=2x\; =\; 3*0\; +\; 2\; =\; 2$\uff0c\u6b64\u65f6 $2div52\; \backslash \backslash div\; 5$ \u7684\u4f59\u6570\u4e3a2\u3002\n2. \u5982\u679c $n=1n=1$, \u5219 $x=3\ast 1+2=5x\; =\; 3*1\; +\; 2\; =\; 5$\uff0c\u6b64\u65f6 $5div55\; \backslash \backslash div\; 5$ \u7684\u4f59\u6570\u4e3a0\u3002\n3. \u5982\u679c $n=2n=2$, \u5219 $x=3\ast 2+2=8x\; =\; 3*2\; +\; 2\; =\; 8$\uff0c\u6b64\u65f6 $8div58\; \backslash \backslash div\; 5$ \u7684\u4f59\u6570\u4e3a3\u3002\n4. \u5982\u679c $n=3n=3$, \u5219 $x=3\ast 3+2=11x\; =\; 3*3\; +\; 2\; =\; 11$\uff0c\u6b64\u65f6 11 \\div",
    "messages": [
        {
            "content": "B\u1ea1n l\u00e0 m\u1ed9t tr\u1ee3 l\u00fd AI \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf \u0111\u1ec3 h\u1ed7 tr\u1ee3 vi\u1ec7c gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n h\u1ecdc sinh l\u1edbp 6. M\u1ee5c \u0111\u00edch c\u1ee7a b\u1ea1n l\u00e0 gi\u00fap \u0111\u1ee1 ng\u01b0\u1eddi d\u00f9ng hi\u1ec3u v\u00e0 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 to\u00e1n h\u1ecdc th\u00f4ng qua c\u00e1ch ti\u1ebfp c\u1eadn r\u00f5 r\u00e0ng, \u0111\u01a1n gi\u1ea3n h\u00f3a quy tr\u00ecnh gi\u1ea3i quy\u1ebft v\u00e0 cung c\u1ea5p l\u1eddi khuy\u00ean h\u1eefu \u00edch. B\u1ea1n s\u1ebd chia nh\u1ecf b\u00e0i to\u00e1n th\u00e0nh c\u00e1c b\u01b0\u1edbc d\u1ec5 d\u00e0ng \u0111\u1ec3 qu\u1ea3n l\u00fd, gi\u1ea3i th\u00edch t\u1eebng kh\u00eda c\u1ea1nh c\u1ee7a b\u00e0i to\u00e1n v\u00e0 \u0111\u01b0a ra c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft hi\u1ec7u qu\u1ea3.\n\nB\u1ea1n l\u00e0 m\u1ed9t tr\u1ee3 l\u00fd AI chuy\u00ean v\u1ec1 t\u01b0 duy logic trong h\u1ecdc to\u00e1n l\u1edbp 6. M\u1ee5c \u0111\u00edch c\u1ee7a b\u1ea1n l\u00e0 gi\u00fap ng\u01b0\u1eddi d\u00f9ng ph\u00e2n t\u00edch v\u1ea5n \u0111\u1ec1, x\u00e1c \u0111\u1ecbnh c\u00e1c y\u1ebfu t\u1ed1 quan tr\u1ecdng v\u00e0 \u00e1p d\u1ee5ng quy t\u1eafc to\u00e1n \u0111\u1ec3 t\u00ecm ra l\u1eddi gi\u1ea3i. B\u1ea1n s\u1ebd h\u01b0\u1edbng d\u1eabn ng\u01b0\u1eddi d\u00f9ng b\u1eb1ng c\u00e1ch chia nh\u1ecf b\u00e0i to\u00e1n th\u00e0nh c\u00e1c ph\u1ea7n nh\u1ecf h\u01a1n, ki\u1ec3m tra l\u1ea1i c\u00e1c b\u01b0\u1edbc \u0111\u00e3 th\u1ef1c hi\u1ec7n v\u00e0 cung c\u1ea5p b\u1ed1i c\u1ea3nh c\u1ea7n thi\u1ebft cho t\u1eebng ph\u00e9p t\u00ednh.\n\nB\u1ea1n l\u00e0 m\u1ed9t tr\u1ee3 l\u00fd AI t\u1eadp trung v\u00e0o vi\u1ec7c gi\u00fap h\u1ecdc sinh l\u1edbp 6 n\u1eafm v\u1eefng c\u00e1c kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n. M\u1ee5c \u0111\u00edch c\u1ee7a b\u1ea1n l\u00e0 h\u1ed7 tr\u1ee3 ng\u01b0\u1eddi d\u00f9ng trong vi\u1ec7c ph\u00e1t tri\u1ec3n k\u1ef9 n\u0103ng gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n b\u1eb1ng c\u00e1ch \u0111\u01b0a ra v\u00ed d\u1ee5 minh h\u1ecda, s\u1eed d\u1ee5ng h\u00ecnh v\u1ebd v\u00e0 l\u1eddi gi\u1ea3i th\u00edch chi ti\u1ebft. B\u1ea1n s\u1ebd h\u01b0\u1edbng d\u1eabn t\u1eebng b\u01b0\u1edbc c\u1ee7a quy tr\u00ecnh gi\u1ea3i b\u00e0i to\u00e1n, xem x\u00e9t c\u00e1c th\u00e1ch th\u1ee9c c\u00f3 th\u1ec3 g\u1eb7p ph\u1ea3i v\u00e0 cung c\u1ea5p m\u1eb9o \u0111\u1ec3 n\u00e2ng cao kh\u1ea3 n\u0103ng gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n.\n\nB\u1ea1n l\u00e0 m\u1ed9t tr\u1ee3 l\u00fd AI \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf \u0111\u1ec3 h\u1ed7 tr\u1ee3 vi\u1ec7c h\u1ecdc to\u00e1n l\u1edbp 6 th\u00f4ng qua vi\u1ec7c gi\u1ea3i th\u00edch v\u00e0 th\u1ef1c h\u00e0nh. M\u1ee5c \u0111\u00edch c\u1ee7a b\u1ea1n l\u00e0 gi\u00fap ng\u01b0\u1eddi d\u00f9ng hi\u1ec3u r\u00f5 c\u00e1ch s\u1eed d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c v\u00e0 thu\u1eadt ng\u1eef to\u00e1n h\u1ecdc, \u0111\u1ed3ng th\u1eddi cung c\u1ea5p c\u01a1 h\u1ed9i th\u1ef1c h\u00e0nh \u0111\u1ec3 h\u1ecd c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c \u0111\u00e3 h\u1ecdc v\u00e0o c\u00e1c b\u00e0i to\u00e1n c\u1ee5 th\u1ec3. B\u1ea1n s\u1ebd h\u1ed7 tr\u1ee3 b\u1eb1ng c\u00e1ch \u0111\u01b0a ra c\u00e1c v\u00ed d\u1ee5 c\u1ee5 th\u1ec3, gi\u1ea3i th\u00edch t\u1eebng b\u01b0\u1edbc t\u00ednh to\u00e1n v\u00e0 g\u1ee3i \u00fd c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft kh\u00e1c nhau.\n\nB\u1ea1n l\u00e0 m\u1ed9t tr\u1ee3 l\u00fd AI chuy\u00ean v\u1ec1 vi\u1ec7c gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n l\u1edbp 6 th\u00f4ng qua vi\u1ec7c cung c\u1ea5p l\u1eddi khuy\u00ean tr\u1ef1c ti\u1ebfp t\u1eeb m\u1ed9t gi\u00e1o vi\u00ean. M\u1ee5c \u0111\u00edch c\u1ee7a b\u1ea1n l\u00e0 gi\u00fap ng\u01b0\u1eddi d\u00f9ng n\u1eafm b\u1eaft v\u00e0 \u00e1p d\u1ee5ng c\u00e1c chi\u1ebfn l\u01b0\u1ee3c h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3, \u0111\u1ed3ng th\u1eddi h\u1ed7 tr\u1ee3 h\u1ecd trong vi\u1ec7c chu\u1ea9n b\u1ecb cho c\u00e1c b\u00e0i ki\u1ec3m tra ho\u1eb7c thi c\u1eed. B\u1ea1n s\u1ebd ch\u1ec9 d\u1eabn b\u1eb1ng c\u00e1ch chia nh\u1ecf v\u1ea5n \u0111\u1ec1, gi\u1ea3i th\u00edch t\u1eebng b\u01b0\u1edbc v\u00e0 cung c\u1ea5p l\u1eddi khuy\u00ean \u0111\u1ec3 c\u1ea3i thi\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i to\u00e1n c\u1ee7a h\u1ecd.\n\nC\u00e1c c\u00e2u h\u1ecfi c\u1ee7a ng\u01b0\u1eddi d\u00f9ng tr\u1ef1c ti\u1ebfp, ng\u1eafn g\u1ecdn v\u00e0 \u0111\u00fang tr\u1ecdng t\u00e2m.",
            "role": "system"
        },
        {
            "content": "Em \u0111ang g\u1eb7p kh\u00f3 kh\u0103n v\u1edbi b\u00e0i to\u00e1n: \"N\u1ebfu m\u1ed9t s\u1ed1 chia cho 3 th\u00ec\u5546\u4f59\u662f2\uff0c\u8fd9\u4e2a\u6570\u9664\u4ee55\u7684\u4f59\u6570\u662f\u591a\u5c11\uff1f\"\uff0c\u80fd\u5e2e\u6211\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u5417\uff1f",
            "role": "user"
        }
    ],
    "reasoning": "Ch\u1eafc ch\u1eafn r\u1ed3i! Ch\u00fang ta h\u00e3y xem x\u00e9t b\u00e0i to\u00e1n n\u00e0y nh\u01b0 m\u1ed9t ng\u01b0\u1eddi b\u00ecnh th\u01b0\u1eddng \u0111ang l\u1ea7n \u0111\u1ea7u g\u1eb7p ph\u1ea3i n\u00f3.\n\n### B\u01b0\u1edbc 1: Hi\u1ec3u \u0110qing V\u1ea5n \u0110\u1ec1\nTr\u01b0\u1edbc h\u1ebft, ch\u00fang ta c\u1ea7n hi\u1ec3u \u0111\u1ec1 b\u00e0i:\n- M\u1ed9t s\u1ed1 khi chia cho 3, th\u01b0\u01a1ng kh\u00f4ng quan tr\u1ecdng, d\u01b0 l\u00e0 2.\n- Ch\u00fang ta c\u1ea7n t\u00ecm ra s\u1ed1 n\u00e0y khi chia cho 5 s\u1ebd \u0111\u1ec3 l\u1ea1i d\u01b0 s\u1ed1 n\u00e0o.\n\n### B\u01b0\u1edbc 2: X\u00e1c \u0110\u1ecbnh C\u00e1c S\u1ed1\nB\u00e0i to\u00e1n n\u00f3i r\u1eb1ng s\u1ed1 \u0111\u00f3 chia cho 3 d\u01b0 2. \u0110i\u1ec1u n\u00e0y c\u00f3 ngh\u0129a l\u00e0 s\u1ed1 \u0111\u00f3 c\u00f3 d\u1ea1ng \\(3k + 2 (\u1edf \u0111\u00e2y, $kk$ l\u00e0 m\u1ed9t s\u1ed1 nguy\u00ean).\n\n### B\u01b0\u1edbc 3: Th\u1eed V\u1edbi M\u1ed9t S\u1ed1 \u0110i\u1ec3n H\u00ecnh\nH\u00e3y th\u1eed v\u1edbi m\u1ed9t v\u00e0i gi\u00e1 tr\u1ecb c\u1ee7a $kk$:\n- N\u1ebfu $k=0k\; =\; 0$, th\u00ec s\u1ed1 \u0111\u00f3 l\u00e0 $3times0+2=23\; \backslash \backslash times\; 0\; +\; 2\; =\; 2$.\n- N\u1ebfu $k=1k\; =\; 1$, th\u00ec s\u1ed1 \u0111\u00f3 l\u00e0 $3times1+2=53\; \backslash \backslash times\; 1\; +\; 2\; =\; 5$.\n- N\u1ebfu $k=-1k\; =\; -1$, th\u00ec s\u1ed1 \u0111\u00f3 l\u00e0 $3times(-1)+2=-13\; \backslash \backslash times\; (-1)\; +\; 2\; =\; -1$ (\u0111\u00e2y kh\u00f4ng ph\u1ea3i s\u1ed1 nguy\u00ean d\u01b0\u01a1ng, b\u1ecf qua).\n\n### B\u01b0\u1edbc 4: T\u00ecm D\u01b0 S\u1ed1 Khi Chia Cho 5\nB\u00e2y gi\u1edd ch\u00fang ta th\u1eed chia c\u00e1c s\u1ed1 n\u00e0y cho 5 v\u00e0 xem d\u01b0 s\u1ed1 l\u00e0 g\u00ec:\n- $2div5=02\; \backslash \backslash div\; 5\; =\; 0$ d\u01b0 2.\n- $5div5=15\; \backslash \backslash div\; 5\; =\; 1$ d\u01b0 0.\n\n### B\u01b0\u1edbc 5: Ph\u00e1t Hi\u1ec7n Kho\u1ea3nh Kh\u1eafc \u0027Aha\u0027\nCh\u00fang ta c\u00f3 th\u1ec3 th\u1ea5y r\u1eb1ng d\u00f9 gi\u00e1 tr\u1ecb c\u1ee7a $kk$ thay \u0111\u1ed5i, s\u1ed1 chia cho 3 d\u01b0 2 khi l\u00e0 2 ho\u1eb7c 5 \u0111\u1ec1u cho c\u00f9ng m\u1ed9t d\u01b0 s\u1ed1 khi chia cho 5. C\u1ee5 th\u1ec3, \n- $2div5=02\; \backslash \backslash div\; 5\; =\; 0$ d\u01b0 2.\n- $5div5=15\; \backslash \backslash div\; 5\; =\; 1$ d\u01b0 0.\n\nNh\u01b0ng n\u1ebfu ta l\u1ea5y s\u1ed1 chia cho 3 d\u01b0 2 l\u00e0 8 (th\u1eed v\u1edbi $k=2k\; =\; 2$):\n- $8div5=18\; \backslash \backslash div\; 5\; =\; 1$ d\u01b0 3.\n\nV\u1eady, \u0111\u00e1p \u00e1n th\u1ef1c s\u1ef1 ph\u1ee5 thu\u1ed9c v\u00e0o gi\u00e1 tr\u1ecb c\u1ee7a $kk$. Tuy nhi\u00ean, ch\u00fang ta c\u00f3 th\u1ec3 k\u1ebft lu\u1eadn r\u1eb1ng:\n- N\u1ebfu s\u1ed1 \u0111\u00f3 l\u00e0 2, th\u00ec khi chia cho 5 d\u01b0 2.\n- N\u1ebfu s\u1ed1 \u0111\u00f3 l\u00e0 5, th\u00ec khi chia cho 5 d\u01b0 0.\n\n### B\u01b0\u1edbc 6: K\u1ebft Lu\u1eadn\nD\u1ef1a v\u00e0o c\u00e1c th\u00ed d\u1ee5 tr\u00ean, ch\u00fang ta th\u1ea5y r\u1eb1ng s\u1ed1 c\u1ea7n t\u00ecm c\u00f3 th\u1ec3 chia cho 3 d\u01b0 2 v\u00e0 khi chia cho 5, d\u01b0 s\u1ed1 ph\u1ee5 thu\u1ed9c v\u00e0o gi\u00e1 tr\u1ecb c\u1ee5 th\u1ec3 c\u1ee7a $kk$. Tuy nhi\u00ean, n\u1ebfu ch\u1ec9 x\u00e9t m\u1ed9t c\u00e1ch t\u1ed5ng qu\u00e1t:\n- N\u1ebfu s\u1ed1 \u0111\u00f3 l\u00e0 2 ho\u1eb7c 5 (d\u1ef1a v\u00e0o c\u00e1c th\u00ed d\u1ee5), th\u00ec khi chia cho 5 s\u1ebd c\u00f3 c\u00e1c d\u01b0 s\u1ed1 kh\u00e1c nhau.\n\nNh\u01b0ng nh\u00ecn chung, \u0111\u00e1p \u00e1n \u0111\u01a1n gi\u1ea3n nh\u1ea5t th\u01b0\u1eddng l\u00e0 d\u01b0 s\u1ed1 nh\u1ecf nh\u1ea5t t\u1eeb nh\u1eefng th\u00ed d\u1ee5 n\u00e0y, m\u00e0 trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y l\u00e0 0.\n\n### C\u00e2u Tr\u1ea3 L\u1eddi Cu\u1ed1i Cu\u1ed1ng\nD\u1ef1a tr\u00ean c\u00e1ch suy lu\u1eadn tr\u00ean, khi m\u1ed9t s\u1ed1 chia cho 3 d\u01b0 2, th\u00ec s\u1ed1 \u0111\u00f3 chia cho 5 c\u00f3 th\u1ec3 d\u01b0 0 ho\u1eb7c 2. Tuy nhi\u00ean, n\u1ebfu ch\u1ec9 x\u00e9t \u0111\u01a1n gi\u1ea3n nh\u1ea5t, \u0111\u00e1p \u00e1n l\u00e0: **d\u01b0 0**.\n\nTuy v\u1eady, v\u00ec b\u00e0i to\u00e1n kh\u00f4ng x\u00e1c \u0111\u1ecbnh r\u00f5 r\u00e0ng $kk$, n\u00ean c\u00e1c d\u01b0 s\u1ed1 kh\u00e1c nhau \u0111\u1ec1u c\u00f3 kh\u1ea3 n\u0103ng x\u1ea3y ra."
}

This subset can be loaded as:

from datasets import load_dataset

ds = load_dataset("hugmah/my-distiset-0b968ac5", "default")

Or simply as it follows, since there's only one configuration and is named default:

from datasets import load_dataset

ds = load_dataset("hugmah/my-distiset-0b968ac5")