{
  "meta": {
    "bench": "llm-math-bench-v1",
    "startedAt": "2026-10-26T07:14:19.303Z",
    "ollama": "0.30.6",
    "host": "http://127.0.0.1:11434",
    "gpu": "NVIDIA GeForce RTX 3090, 24576 MiB, 617.42",
    "node": "v24.22.1",
    "platform": "win32 10.0.26300",
    "options": {
      "temperature": 0,
      "seed": 20261026,
      "num_ctx": 4096,
      "num_predict": 3584
    },
    "timeoutMs": 300000,
    "problemSeed": 20261026,
    "finishedAt": "2026-10-26T07:40:39.784Z"
  },
  "problems": [
    {
      "id": "seifu-1",
      "category": "seifu",
      "categoryLabel": "正負の数の四則",
      "kind": "number",
      "question": "次の計算をしなさい。 (-8) + 3 - (-8)",
      "answer": "3"
    },
    {
      "id": "seifu-2",
      "category": "seifu",
      "categoryLabel": "正負の数の四則",
      "kind": "number",
      "question": "次の計算をしなさい。 3 - (-5) - 19",
      "answer": "-11"
    },
    {
      "id": "seifu-3",
      "category": "seifu",
      "categoryLabel": "正負の数の四則",
      "kind": "number",
      "question": "次の計算をしなさい。 (-7) × 5 ÷ (-5)",
      "answer": "7"
    },
    {
      "id": "seifu-4",
      "category": "seifu",
      "categoryLabel": "正負の数の四則",
      "kind": "number",
      "question": "次の計算をしなさい。 (-6)² - 7 × (-8)",
      "answer": "92"
    },
    {
      "id": "seifu-5",
      "category": "seifu",
      "categoryLabel": "正負の数の四則",
      "kind": "number",
      "question": "次の計算をしなさい。 13 + (-8) × 4",
      "answer": "-19"
    },
    {
      "id": "seifu-6",
      "category": "seifu",
      "categoryLabel": "正負の数の四則",
      "kind": "number",
      "question": "次の計算をしなさい。 (-3) - 9 × (-3) ÷ 3",
      "answer": "6"
    },
    {
      "id": "mojishiki-1",
      "category": "mojishiki",
      "categoryLabel": "文字式の計算",
      "kind": "expression",
      "question": "次の式を計算して、最も簡単な形にしなさい。 2(3x + 2) - 2(4x + 2)",
      "answer": "-2x"
    },
    {
      "id": "mojishiki-2",
      "category": "mojishiki",
      "categoryLabel": "文字式の計算",
      "kind": "expression",
      "question": "次の式を計算して、最も簡単な形にしなさい。 (7x - 6) + (3x - 8)",
      "answer": "10x - 14"
    },
    {
      "id": "mojishiki-3",
      "category": "mojishiki",
      "categoryLabel": "文字式の計算",
      "kind": "expression",
      "question": "次の式を計算して、最も簡単な形にしなさい。 3(x - 6) + 3(x - 2)",
      "answer": "6x - 24"
    },
    {
      "id": "mojishiki-4",
      "category": "mojishiki",
      "categoryLabel": "文字式の計算",
      "kind": "expression",
      "question": "次の式を計算して、最も簡単な形にしなさい。 (5x - 2) - (x + 1)",
      "answer": "4x - 3"
    },
    {
      "id": "ichiji-1",
      "category": "ichiji",
      "categoryLabel": "一次方程式",
      "kind": "linear",
      "question": "次の方程式を解きなさい。 7x + 12 = -44",
      "answer": "-8"
    },
    {
      "id": "ichiji-2",
      "category": "ichiji",
      "categoryLabel": "一次方程式",
      "kind": "linear",
      "question": "次の方程式を解きなさい。 7x - 12 = 8x - 4",
      "answer": "-8"
    },
    {
      "id": "ichiji-3",
      "category": "ichiji",
      "categoryLabel": "一次方程式",
      "kind": "linear",
      "question": "次の方程式を解きなさい。 4(x + 3) = 28",
      "answer": "4"
    },
    {
      "id": "ichiji-4",
      "category": "ichiji",
      "categoryLabel": "一次方程式",
      "kind": "linear",
      "question": "次の方程式を解きなさい。 5 - 5x = 15",
      "answer": "-2"
    },
    {
      "id": "ichiji-5",
      "category": "ichiji",
      "categoryLabel": "一次方程式",
      "kind": "linear",
      "question": "次の方程式を解きなさい。 (x + 1) ÷ 3 = 3",
      "answer": "8"
    },
    {
      "id": "renritsu-1",
      "category": "renritsu",
      "categoryLabel": "連立方程式",
      "kind": "system",
      "question": "次の連立方程式を解きなさい。 2x - 2y = 12, -3x + 5y = -28",
      "answer": "x=1, y=-5"
    },
    {
      "id": "renritsu-2",
      "category": "renritsu",
      "categoryLabel": "連立方程式",
      "kind": "system",
      "question": "次の連立方程式を解きなさい。 4x + 3y = 21, x + 2y = 4",
      "answer": "x=6, y=-1"
    },
    {
      "id": "renritsu-3",
      "category": "renritsu",
      "categoryLabel": "連立方程式",
      "kind": "system",
      "question": "次の連立方程式を解きなさい。 3x + 3y = 24, -3x + y = 0",
      "answer": "x=2, y=6"
    },
    {
      "id": "renritsu-4",
      "category": "renritsu",
      "categoryLabel": "連立方程式",
      "kind": "system",
      "question": "次の連立方程式を解きなさい。 4x - 2y = -14, 3x - y = -8",
      "answer": "x=-1, y=5"
    },
    {
      "id": "kansu-1",
      "category": "kansu",
      "categoryLabel": "一次関数の値",
      "kind": "number",
      "question": "一次関数 y = 6x + 9 について、x = -6 のときの y の値を求めなさい。",
      "answer": "-27"
    },
    {
      "id": "kansu-2",
      "category": "kansu",
      "categoryLabel": "一次関数の値",
      "kind": "number",
      "question": "一次関数 y = x + 9 について、y = 13 のときの x の値を求めなさい。",
      "answer": "4"
    },
    {
      "id": "kansu-3",
      "category": "kansu",
      "categoryLabel": "一次関数の値",
      "kind": "number",
      "question": "一次関数 y = 3x + 4 について、x の値が 4 から 8 まで増加するときの y の増加量を求めなさい。",
      "answer": "12"
    },
    {
      "id": "bunshou-1",
      "category": "bunshou",
      "categoryLabel": "割合・速さの文章題",
      "kind": "number",
      "question": "定価 3000 円の商品を 15% 引きで買うと、代金は何円になりますか。",
      "answer": "2550"
    },
    {
      "id": "bunshou-2",
      "category": "bunshou",
      "categoryLabel": "割合・速さの文章題",
      "kind": "number",
      "question": "時速 4 km で 1.5 時間歩くと、進む道のりは何 km ですか。",
      "answer": "6"
    },
    {
      "id": "bunshou-3",
      "category": "bunshou",
      "categoryLabel": "割合・速さの文章題",
      "kind": "number",
      "question": "650 人の 80% は何人ですか。",
      "answer": "520"
    },
    {
      "id": "bunshou-4",
      "category": "bunshou",
      "categoryLabel": "割合・速さの文章題",
      "kind": "number",
      "question": "12.5 km の道のりを時速 5 km で歩くと、何時間かかりますか。",
      "answer": "2.5"
    },
    {
      "id": "bunshou-5",
      "category": "bunshou",
      "categoryLabel": "割合・速さの文章題",
      "kind": "number",
      "question": "ある数の 35% が 175 です。ある数を求めなさい。",
      "answer": "500"
    },
    {
      "id": "heihoukon-1",
      "category": "heihoukon",
      "categoryLabel": "平方根の計算",
      "kind": "radical",
      "question": "次の計算をして、最も簡単な形にしなさい。 √63 + √7",
      "answer": "4√7"
    },
    {
      "id": "heihoukon-2",
      "category": "heihoukon",
      "categoryLabel": "平方根の計算",
      "kind": "radical",
      "question": "次の計算をして、最も簡単な形にしなさい。 √15 × √3",
      "answer": "3√5"
    },
    {
      "id": "heihoukon-3",
      "category": "heihoukon",
      "categoryLabel": "平方根の計算",
      "kind": "radical",
      "question": "次の計算をして、最も簡単な形にしなさい。 √45 - √5",
      "answer": "2√5"
    }
  ],
  "results": [
    {
      "model": "gemma4:31b",
      "id": "seifu-1",
      "category": "seifu",
      "extracted": "3",
      "correct": true,
      "wallMs": 36098,
      "evalCount": 250,
      "chunks": 197,
      "thinkingChars": 525,
      "contentChars": 62,
      "doneReason": "stop",
      "contentExcerpt": "(-8) + 3 - (-8) = -8 + 3 + 8 = (-8 + 8) + 3 = 0 + 3 = 3 答え: 3"
    },
    {
      "model": "gemma4:31b",
      "id": "seifu-2",
      "category": "seifu",
      "extracted": "-11",
      "correct": true,
      "wallMs": 5883,
      "evalCount": 176,
      "chunks": 142,
      "thinkingChars": 316,
      "contentChars": 50,
      "doneReason": "stop",
      "contentExcerpt": "3 - (-5) - 19 = 3 + 5 - 19 = 8 - 19 = -11 答え: -11"
    },
    {
      "model": "gemma4:31b",
      "id": "seifu-3",
      "category": "seifu",
      "extracted": "7",
      "correct": true,
      "wallMs": 6859,
      "evalCount": 211,
      "chunks": 182,
      "thinkingChars": 531,
      "contentChars": 39,
      "doneReason": "stop",
      "contentExcerpt": "(-7) × 5 ÷ (-5) = -35 ÷ (-5) = 7 答え: 7"
    },
    {
      "model": "gemma4:31b",
      "id": "seifu-4",
      "category": "seifu",
      "extracted": "92",
      "correct": true,
      "wallMs": 8453,
      "evalCount": 268,
      "chunks": 227,
      "thinkingChars": 591,
      "contentChars": 52,
      "doneReason": "stop",
      "contentExcerpt": "(-6)² - 7 × (-8) = 36 - (-56) = 36 + 56 = 92 答え: 92"
    },
    {
      "model": "gemma4:31b",
      "id": "seifu-5",
      "category": "seifu",
      "extracted": "-19",
      "correct": true,
      "wallMs": 7514,
      "evalCount": 231,
      "chunks": 192,
      "thinkingChars": 506,
      "contentChars": 76,
      "doneReason": "stop",
      "contentExcerpt": "計算順序に従い、まず掛け算から行います。 (-8) × 4 = -32 次に足し算を行います。 13 + (-32) = -19 答え: -19"
    },
    {
      "model": "gemma4:31b",
      "id": "seifu-6",
      "category": "seifu",
      "extracted": "6",
      "correct": true,
      "wallMs": 17885,
      "evalCount": 575,
      "chunks": 476,
      "thinkingChars": 1343,
      "contentChars": 145,
      "doneReason": "stop",
      "contentExcerpt": "計算の順序に従って解きます。 1. 掛け算と割り算を先に計算します。 $9 \\times (-3) = -27$ $-27 \\div 3 = -9$ 2. 次に引き算を計算します。 $(-3) - (-9)$ $= -3 + 9$ $= 6$ 答え: 6"
    },
    {
      "model": "gemma4:31b",
      "id": "mojishiki-1",
      "category": "mojishiki",
      "extracted": "-2x",
      "correct": true,
      "wallMs": 12748,
      "evalCount": 407,
      "chunks": 321,
      "thinkingChars": 811,
      "contentChars": 76,
      "doneReason": "stop",
      "contentExcerpt": "2(3x + 2) - 2(4x + 2) = 6x + 4 - 8x - 4 = (6x - 8x) + (4 - 4) = -2x 答え: -2x"
    },
    {
      "model": "gemma4:31b",
      "id": "mojishiki-2",
      "category": "mojishiki",
      "extracted": "10x-14",
      "correct": true,
      "wallMs": 11456,
      "evalCount": 365,
      "chunks": 300,
      "thinkingChars": 801,
      "contentChars": 60,
      "doneReason": "stop",
      "contentExcerpt": "(7x - 6) + (3x - 8) = 7x + 3x - 6 - 8 = 10x - 14 答え: 10x-14"
    },
    {
      "model": "gemma4:31b",
      "id": "mojishiki-3",
      "category": "mojishiki",
      "extracted": "6x-24",
      "correct": true,
      "wallMs": 10243,
      "evalCount": 319,
      "chunks": 254,
      "thinkingChars": 687,
      "contentChars": 59,
      "doneReason": "stop",
      "contentExcerpt": "3(x - 6) + 3(x - 2) = 3x - 18 + 3x - 6 = 6x - 24 答え: 6x-24"
    },
    {
      "model": "gemma4:31b",
      "id": "mojishiki-4",
      "category": "mojishiki",
      "extracted": "4x-3",
      "correct": true,
      "wallMs": 7710,
      "evalCount": 231,
      "chunks": 191,
      "thinkingChars": 555,
      "contentChars": 54,
      "doneReason": "stop",
      "contentExcerpt": "(5x - 2) - (x + 1) = 5x - 2 - x - 1 = 4x - 3 答え: 4x-3"
    },
    {
      "model": "gemma4:31b",
      "id": "ichiji-1",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 8346,
      "evalCount": 257,
      "chunks": 211,
      "thinkingChars": 608,
      "contentChars": 53,
      "doneReason": "stop",
      "contentExcerpt": "7x + 12 = -44 7x = -44 - 12 7x = -56 x = -8 答え: x=-8"
    },
    {
      "model": "gemma4:31b",
      "id": "ichiji-2",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 7828,
      "evalCount": 236,
      "chunks": 195,
      "thinkingChars": 467,
      "contentChars": 51,
      "doneReason": "stop",
      "contentExcerpt": "7x - 12 = 8x - 4 -12 + 4 = 8x - 7x -8 = x 答え: x=-8"
    },
    {
      "model": "gemma4:31b",
      "id": "ichiji-3",
      "category": "ichiji",
      "extracted": "x=4",
      "correct": true,
      "wallMs": 9840,
      "evalCount": 302,
      "chunks": 230,
      "thinkingChars": 564,
      "contentChars": 63,
      "doneReason": "stop",
      "contentExcerpt": "4(x + 3) = 28 x + 3 = 28 ÷ 4 x + 3 = 7 x = 7 - 3 x = 4 答え: x=4"
    },
    {
      "model": "gemma4:31b",
      "id": "ichiji-4",
      "category": "ichiji",
      "extracted": "x=-2",
      "correct": true,
      "wallMs": 6747,
      "evalCount": 203,
      "chunks": 172,
      "thinkingChars": 393,
      "contentChars": 64,
      "doneReason": "stop",
      "contentExcerpt": "5 - 5x = 15 -5x = 15 - 5 -5x = 10 x = 10 / (-5) x = -2 答え: x=-2"
    },
    {
      "model": "gemma4:31b",
      "id": "ichiji-5",
      "category": "ichiji",
      "extracted": "x=8",
      "correct": true,
      "wallMs": 6901,
      "evalCount": 208,
      "chunks": 161,
      "thinkingChars": 395,
      "contentChars": 64,
      "doneReason": "stop",
      "contentExcerpt": "(x + 1) ÷ 3 = 3 x + 1 = 3 × 3 x + 1 = 9 x = 9 - 1 x = 8 答え: x=8"
    },
    {
      "model": "gemma4:31b",
      "id": "renritsu-1",
      "category": "renritsu",
      "extracted": "x=1, y=-5",
      "correct": true,
      "wallMs": 15868,
      "evalCount": 493,
      "chunks": 413,
      "thinkingChars": 678,
      "contentChars": 224,
      "doneReason": "stop",
      "contentExcerpt": "2x - 2y = 12 --- (1) -3x + 5y = -28 --- (2) (1)の両辺を2で割ると、 x - y = 6 x = y + 6 --- (1') (1')を(2)に代入すると、 -3(y + 6) + 5y = -28 -3y - 18 + 5y = -28 2y = -28 + 18 2y = -10 y = -5 これを(1')に代入すると、 x = -5 + 6 x = 1 答え: x=1, y=-5"
    },
    {
      "model": "gemma4:31b",
      "id": "renritsu-2",
      "category": "renritsu",
      "extracted": "x=6, y=-1",
      "correct": true,
      "wallMs": 14580,
      "evalCount": 448,
      "chunks": 365,
      "thinkingChars": 570,
      "contentChars": 210,
      "doneReason": "stop",
      "contentExcerpt": "4x + 3y = 21 ... ① x + 2y = 4 ... ② ②より、x = 4 - 2y となります。これを①に代入します。 4(4 - 2y) + 3y = 21 16 - 8y + 3y = 21 -5y = 21 - 16 -5y = 5 y = -1 y = -1 を x = 4 - 2y に代入します。 x = 4 - 2(-1) x = 4 + 2 x = 6 答え: x=6, y=-1"
    },
    {
      "model": "gemma4:31b",
      "id": "renritsu-3",
      "category": "renritsu",
      "extracted": "x=2, y=6",
      "correct": true,
      "wallMs": 13638,
      "evalCount": 416,
      "chunks": 333,
      "thinkingChars": 555,
      "contentChars": 154,
      "doneReason": "stop",
      "contentExcerpt": "3x + 3y = 24 --- (1) -3x + y = 0 --- (2) (1)と(2)を足すと、 (3x - 3x) + (3y + y) = 24 + 0 4y = 24 y = 6 これを(2)に代入すると、 -3x + 6 = 0 -3x = -6 x = 2 答え: x=2, y=6"
    },
    {
      "model": "gemma4:31b",
      "id": "renritsu-4",
      "category": "renritsu",
      "extracted": "x=-1, y=5",
      "correct": true,
      "wallMs": 21205,
      "evalCount": 671,
      "chunks": 559,
      "thinkingChars": 1064,
      "contentChars": 261,
      "doneReason": "stop",
      "contentExcerpt": "与えられた連立方程式を解きます。 (1) 4x - 2y = -14 (2) 3x - y = -8 まず、式(1)の両辺を2で割ります。 2x - y = -7 --- (1') 次に、式(2)から式(1')を引きます。 (3x - y) - (2x - y) = -8 - (-7) 3x - y - 2x + y = -8 + 7 x = -1 得られた x = -1 を式(2)に代入します。 3(-1) - y = -8 -3 - y = -8 -y = -5 y = 5 答え: x=-1, y=5"
    },
    {
      "model": "gemma4:31b",
      "id": "kansu-1",
      "category": "kansu",
      "extracted": "-27",
      "correct": true,
      "wallMs": 6759,
      "evalCount": 195,
      "chunks": 158,
      "thinkingChars": 283,
      "contentChars": 78,
      "doneReason": "stop",
      "contentExcerpt": "一次関数 y = 6x + 9 に x = -6 を代入すると、 y = 6 × (-6) + 9 y = -36 + 9 y = -27 答え: -27"
    },
    {
      "model": "gemma4:31b",
      "id": "kansu-2",
      "category": "kansu",
      "extracted": "4",
      "correct": true,
      "wallMs": 7152,
      "evalCount": 214,
      "chunks": 172,
      "thinkingChars": 422,
      "contentChars": 66,
      "doneReason": "stop",
      "contentExcerpt": "一次関数 y = x + 9 に y = 13 を代入すると、 13 = x + 9 x = 13 - 9 x = 4 答え: 4"
    },
    {
      "model": "gemma4:31b",
      "id": "kansu-3",
      "category": "kansu",
      "extracted": "12",
      "correct": true,
      "wallMs": 14249,
      "evalCount": 428,
      "chunks": 356,
      "thinkingChars": 693,
      "contentChars": 182,
      "doneReason": "stop",
      "contentExcerpt": "一次関数 $y = ax + b$ において、$x$ が増加するときの $y$ の増加量は、「変化の割合（傾き） $\\times x$ の増加量」で求めることができます。 この問題では、 ・変化の割合（傾き）は 3 ・$x$ の増加量は $8 - 4 = 4$ したがって、$y$ の増加量は、 $3 \\times 4 = 12$ となります。 答え: 12"
    },
    {
      "model": "gemma4:31b",
      "id": "bunshou-1",
      "category": "bunshou",
      "extracted": "2550",
      "correct": true,
      "wallMs": 14123,
      "evalCount": 424,
      "chunks": 351,
      "thinkingChars": 900,
      "contentChars": 118,
      "doneReason": "stop",
      "contentExcerpt": "定価 3000 円の 15% 引きの代金を求めます。 割引額は、$3000 \\times 0.15 = 450$（円）です。 代金は、定価から割引額を引いて、$3000 - 450 = 2550$（円）となります。 答え: 2550"
    },
    {
      "model": "gemma4:31b",
      "id": "bunshou-2",
      "category": "bunshou",
      "extracted": "6",
      "correct": true,
      "wallMs": 5554,
      "evalCount": 150,
      "chunks": 117,
      "thinkingChars": 255,
      "contentChars": 58,
      "doneReason": "stop",
      "contentExcerpt": "時速 4 km で 1.5 時間歩いたときの道のりは、 4 × 1.5 = 6 (km) となります。 答え: 6"
    },
    {
      "model": "gemma4:31b",
      "id": "bunshou-3",
      "category": "bunshou",
      "extracted": "520",
      "correct": true,
      "wallMs": 10584,
      "evalCount": 333,
      "chunks": 260,
      "thinkingChars": 630,
      "contentChars": 50,
      "doneReason": "stop",
      "contentExcerpt": "650人の80%を求める計算は、以下の通りです。 650 × 0.8 = 520 答え: 520"
    },
    {
      "model": "gemma4:31b",
      "id": "bunshou-4",
      "category": "bunshou",
      "extracted": "2.5",
      "correct": true,
      "wallMs": 7498,
      "evalCount": 228,
      "chunks": 184,
      "thinkingChars": 391,
      "contentChars": 54,
      "doneReason": "stop",
      "contentExcerpt": "道のり $\\div$ 速さ $=$ 時間 なので、 $12.5 \\div 5 = 2.5$ 答え: 2.5"
    },
    {
      "model": "gemma4:31b",
      "id": "bunshou-5",
      "category": "bunshou",
      "extracted": "500",
      "correct": true,
      "wallMs": 12474,
      "evalCount": 389,
      "chunks": 315,
      "thinkingChars": 646,
      "contentChars": 100,
      "doneReason": "stop",
      "contentExcerpt": "ある数を $x$ とすると、問題文から次の式が成り立ちます。 $x \\times 0.35 = 175$ これを解くと、 $x = 175 \\div 0.35$ $x = 500$ 答え: 500"
    },
    {
      "model": "gemma4:31b",
      "id": "heihoukon-1",
      "category": "heihoukon",
      "extracted": "4√7",
      "correct": true,
      "wallMs": 7995,
      "evalCount": 238,
      "chunks": 202,
      "thinkingChars": 454,
      "contentChars": 50,
      "doneReason": "stop",
      "contentExcerpt": "√63 + √7 = √(9 × 7) + √7 = 3√7 + √7 = 4√7 答え: 4√7"
    },
    {
      "model": "gemma4:31b",
      "id": "heihoukon-2",
      "category": "heihoukon",
      "extracted": "3√5",
      "correct": true,
      "wallMs": 12200,
      "evalCount": 380,
      "chunks": 317,
      "thinkingChars": 775,
      "contentChars": 56,
      "doneReason": "stop",
      "contentExcerpt": "√15 × √3 = √(15 × 3) = √45 √45 = √(9 × 5) = 3√5 答え: 3√5"
    },
    {
      "model": "gemma4:31b",
      "id": "heihoukon-3",
      "category": "heihoukon",
      "extracted": "2√5",
      "correct": true,
      "wallMs": 8691,
      "evalCount": 259,
      "chunks": 223,
      "thinkingChars": 434,
      "contentChars": 92,
      "doneReason": "stop",
      "contentExcerpt": "√45は、√ (9 × 5) = 3√5 と書き換えることができます。 したがって、計算は以下のようになります。 √45 - √5 = 3√5 - √5 = 2√5 答え: 2√5"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "seifu-1",
      "category": "seifu",
      "extracted": "3",
      "correct": true,
      "wallMs": 36453,
      "evalCount": 493,
      "chunks": 396,
      "thinkingChars": 1036,
      "contentChars": 141,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は (-8) + 3 - (-8) です。 まず、引き算の「-(-8)」は符号が反転して「+8」になります。 したがって、式は (-8) + 3 + 8 と書き換えられます。 (-8) と (+8) を足すと 0 になるため、残りの 3 が答えとなります。 答え: 3"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "seifu-2",
      "category": "seifu",
      "extracted": "-11",
      "correct": true,
      "wallMs": 12460,
      "evalCount": 502,
      "chunks": 400,
      "thinkingChars": 1345,
      "contentChars": 56,
      "doneReason": "stop",
      "contentExcerpt": "計算過程： 3 - (-5) - 19 = 3 + 5 - 19 = 8 - 19 = -11 答え: -11"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "seifu-3",
      "category": "seifu",
      "extracted": "7",
      "correct": true,
      "wallMs": 28675,
      "evalCount": 1007,
      "chunks": 792,
      "thinkingChars": 2592,
      "contentChars": 41,
      "doneReason": "stop",
      "contentExcerpt": "計算過程： (-7) × 5 = -35 -35 ÷ (-5) = 7 答え: 7"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "seifu-4",
      "category": "seifu",
      "extracted": "92",
      "correct": true,
      "wallMs": 8367,
      "evalCount": 709,
      "chunks": 566,
      "thinkingChars": 1470,
      "contentChars": 194,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は以下の通りです。 (-6)² - 7 × (-8) 計算の順序に従って進めます。 1. べき乗を計算します。 (-6)² = (-6) × (-6) = 36 2. 掛け算を計算します。 7 × (-8) = -56 3. これらを元の式に代入して、引き算（符号の処理）を行います。 36 - (-56) = 36 + 56 = 92 答え: 92"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "seifu-5",
      "category": "seifu",
      "extracted": "-19",
      "correct": true,
      "wallMs": 7507,
      "evalCount": 563,
      "chunks": 462,
      "thinkingChars": 1416,
      "contentChars": 95,
      "doneReason": "stop",
      "contentExcerpt": "計算の順序（優先順位）に従って、まず掛け算を先に行います。 (-8) × 4 = -32 次に足し算を行います。 13 + (-32) = 13 - 32 = -19 答え: -19"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "seifu-6",
      "category": "seifu",
      "extracted": "6",
      "correct": true,
      "wallMs": 24876,
      "evalCount": 1483,
      "chunks": 1172,
      "thinkingChars": 3349,
      "contentChars": 287,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は以下の通りです。 (-3) - 9 × (-3) ÷ 3 四則演算の順序（乗算・除算を先に行う）に従って計算します。 1. まず `9 × (-3)` を計算します。 `9 × (-3) = -27` 式は `(-3) - (-27) ÷ 3` となります。 2. 次に `(-27) ÷ 3` を計算します。 `(-27) ÷ 3 = -9` 式は `(-3) - (-9)` となります。 3. 最後に引き算を計算します。負の数を引き算することは正の数を足すことと同じです。 `(-3) + 9 = 6` 答え: 6"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "mojishiki-1",
      "category": "mojishiki",
      "extracted": "-2x",
      "correct": true,
      "wallMs": 11744,
      "evalCount": 791,
      "chunks": 634,
      "thinkingChars": 1638,
      "contentChars": 103,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式を展開して整理します。 $2(3x + 2) - 2(4x + 2)$ $= 6x + 4 - 8x - 4$ $= (6x - 8x) + (4 - 4)$ $= -2x$ 答え: -2x"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "mojishiki-2",
      "category": "mojishiki",
      "extracted": "10x-14",
      "correct": true,
      "wallMs": 19757,
      "evalCount": 1064,
      "chunks": 895,
      "thinkingChars": 2539,
      "contentChars": 140,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は以下の手順で計算できます。 \\((7x - 6) + (3x - 8)\\) \\(= 7x - 6 + 3x - 8\\) （括弧を外す） \\(= (7x + 3x) + (-6 - 8)\\) （同類項をまとめる） \\(= 10x - 14\\) 答え: 10x-14"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "mojishiki-3",
      "category": "mojishiki",
      "extracted": "6x-24",
      "correct": true,
      "wallMs": 15696,
      "evalCount": 1326,
      "chunks": 1085,
      "thinkingChars": 3370,
      "contentChars": 162,
      "doneReason": "stop",
      "contentExcerpt": "まず、分配法則を用いて括弧を展開します。 3(x - 6) = 3x - 18 3(x - 2) = 3x - 6 これらを足し合わせると、 (3x - 18) + (3x - 6) 同類項をまとめます。 3x + 3x = 6x -18 - 6 = -24 よって、6x - 24 となります。 答え: 6x-24"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "mojishiki-4",
      "category": "mojishiki",
      "extracted": "4x-3",
      "correct": true,
      "wallMs": 14549,
      "evalCount": 1414,
      "chunks": 1175,
      "thinkingChars": 3701,
      "contentChars": 102,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式を計算します。 (5x - 2) - (x + 1) = 5x - 2 - x - 1 （括弧を外す） = 4x - 3 （同類項をまとめる） 答え: 4x-3"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "ichiji-1",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 7287,
      "evalCount": 896,
      "chunks": 741,
      "thinkingChars": 2163,
      "contentChars": 177,
      "doneReason": "stop",
      "contentExcerpt": "与えられた方程式を解く手順は以下の通りです。 1. 両辺から定数項（12）を引いて、xの項だけを残します。 \\[ 7x = -44 - 12 \\] \\[ 7x = -56 \\] 2. 両辺をxの係数（7）で割って、xの値を求めます。 \\[ x = \\frac{-56}{7} \\] \\[ x = -8 \\] 答え: x=-8"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "ichiji-2",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 8355,
      "evalCount": 1034,
      "chunks": 836,
      "thinkingChars": 2464,
      "contentChars": 152,
      "doneReason": "stop",
      "contentExcerpt": "与えられた方程式を解きます。 7x - 12 = 8x - 4 両辺から `7x` を引いて、`x` の項を右辺にまとめます： -12 = x - 4 両辺に `4` を加えて定数項を左辺にまとめます： -12 + 4 = x -8 = x よって、解は以下のようになります。 答え: x=-8"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "ichiji-3",
      "category": "ichiji",
      "extracted": "x=4",
      "correct": true,
      "wallMs": 5042,
      "evalCount": 620,
      "chunks": 490,
      "thinkingChars": 1319,
      "contentChars": 188,
      "doneReason": "stop",
      "contentExcerpt": "与えられた方程式を解く手順は以下の通りです。 1. 両辺を4で割って、括弧の中を整理します。 \\[ x + 3 = 7 \\] 2. 両辺から3を引いて \\(x\\) を求めます。 \\[ x = 7 - 3 \\] \\[ x = 4 \\] 検算：\\(4(4 + 3) = 4 \\times 7 = 28\\) となり、元の方程式と一致します。 答え: x=4"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "ichiji-4",
      "category": "ichiji",
      "extracted": "x=-2",
      "correct": true,
      "wallMs": 7285,
      "evalCount": 876,
      "chunks": 716,
      "thinkingChars": 2296,
      "contentChars": 154,
      "doneReason": "stop",
      "contentExcerpt": "与えられた方程式を解く手順は以下の通りです。 1. 両辺から5を引きます。 \\( 5 - 5x - 5 = 15 - 5 \\) \\( -5x = 10 \\) 2. 両辺を-5で割ります。 \\( x = \\frac{10}{-5} \\) \\( x = -2 \\) 答え: x=-2"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "ichiji-5",
      "category": "ichiji",
      "extracted": "x=8",
      "correct": true,
      "wallMs": 5493,
      "evalCount": 588,
      "chunks": 478,
      "thinkingChars": 1394,
      "contentChars": 105,
      "doneReason": "stop",
      "contentExcerpt": "与えられた方程式を解きます。 $(x + 1) \\div 3 = 3$ 両辺に3を掛けて分母を払います。 $x + 1 = 9$ 両辺から1を引いて、$x$ を求めます。 $x = 8$ 答え: x=8"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "renritsu-1",
      "category": "renritsu",
      "extracted": "x=1, y=-5",
      "correct": true,
      "wallMs": 19155,
      "evalCount": 1994,
      "chunks": 1623,
      "thinkingChars": 3993,
      "contentChars": 445,
      "doneReason": "stop",
      "contentExcerpt": "与えられた連立方程式は以下の通りです。 \\[ \\begin{cases} 2x - 2y = 12 & \\cdots ① \\\\ -3x + 5y = -28 & \\cdots ② \\end{cases} \\] まず、①の両辺を2で割って整理します。 \\(x - y = 6\\) これより、\\(x = y + 6\\) と表せます。 この \\(x\\) の式を②に代入します。 \\(-3(y + 6) + 5y = -28\\) \\(-3y - 18 + 5y = -28\\) \\(2y - 18 = -28\\) \\(2y = -10\\) \\(y = -5\\) \\(y = -5\\) を \\(x = y + …"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "renritsu-2",
      "category": "renritsu",
      "extracted": "x=6, y=-1",
      "correct": true,
      "wallMs": 23597,
      "evalCount": 1443,
      "chunks": 1147,
      "thinkingChars": 3007,
      "contentChars": 414,
      "doneReason": "stop",
      "contentExcerpt": "与えられた連立方程式は以下の通りです。 \\[ \\begin{cases} 4x + 3y = 21 & \\cdots ① \\\\ x + 2y = 4 & \\cdots ② \\end{cases} \\] **解法（代入法）** ②より \\(x\\) を \\(y\\) で表すと： \\[ x = 4 - 2y \\quad \\cdots ③ \\] ③を①に代入します。 \\[ 4(4 - 2y) + 3y = 21 \\] \\[ 16 - 8y + 3y = 21 \\] \\[ -5y = 5 \\] \\[ y = -1 \\] 求めた \\(y = -1\\) を③に代入して \\(x\\) を求めます。 \\[ x = …"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "renritsu-3",
      "category": "renritsu",
      "extracted": "x=2, y=6",
      "correct": true,
      "wallMs": 12143,
      "evalCount": 1026,
      "chunks": 820,
      "thinkingChars": 1711,
      "contentChars": 343,
      "doneReason": "stop",
      "contentExcerpt": "与えられた連立方程式は以下の通りです。 ① $3x + 3y = 24$ ② $-3x + y = 0$ **手順1：加減法で $y$ を求める** ①と②を足し合わせると、$x$ の係数が $3$ と $-3$ で打ち消し合います。 $(3x + 3y) + (-3x + y) = 24 + 0$ $4y = 24$ $y = 6$ **手順2：$y$ の値を代入して $x$ を求める** 求めた $y = 6$ を②に代入します。 $-3x + 6 = 0$ $-3x = -6$ $x = 2$ **検算** ① $3(2) + 3(6) = 6 + 18 = 24$ （成立） ② $-3…"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "renritsu-4",
      "category": "renritsu",
      "extracted": "",
      "correct": false,
      "wallMs": 300002,
      "chunks": 171,
      "thinkingChars": 614,
      "contentChars": 0,
      "error": "timeout after 300000ms",
      "contentExcerpt": ""
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "kansu-1",
      "category": "kansu",
      "extracted": "",
      "correct": false,
      "wallMs": 300001,
      "chunks": 21,
      "thinkingChars": 92,
      "contentChars": 0,
      "error": "timeout after 300000ms",
      "contentExcerpt": ""
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "kansu-2",
      "category": "kansu",
      "extracted": "4",
      "correct": true,
      "wallMs": 168451,
      "evalCount": 527,
      "chunks": 415,
      "thinkingChars": 1247,
      "contentChars": 105,
      "doneReason": "stop",
      "contentExcerpt": "与えられた一次関数 y = x + 9 に y = 13 を代入して方程式を立てます。 13 = x + 9 両辺から 9 を引いて x について解きます。 x = 13 - 9 x = 4 答え: 4"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "kansu-3",
      "category": "kansu",
      "extracted": "12",
      "correct": true,
      "wallMs": 11616,
      "evalCount": 741,
      "chunks": 605,
      "thinkingChars": 1736,
      "contentChars": 111,
      "doneReason": "stop",
      "contentExcerpt": "一次関数において、y の増加量は「傾き × x の増加量」で求めることができます。 この問題では傾きが 3、x の増加量は 8 - 4 = 4 なので、 y の増加量 = 3 × 4 = 12 となります。 答え: 12"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "bunshou-1",
      "category": "bunshou",
      "extracted": "2550",
      "correct": true,
      "wallMs": 8009,
      "evalCount": 689,
      "chunks": 578,
      "thinkingChars": 1597,
      "contentChars": 101,
      "doneReason": "stop",
      "contentExcerpt": "定価3000円を15%引きにする場合、実際に支払う割合は 100% - 15% = 85% です。 したがって、代金は以下の計算で求められます。 3000 × 0.85 = 2550 答え: 2550"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "bunshou-2",
      "category": "bunshou",
      "extracted": "6",
      "correct": true,
      "wallMs": 7116,
      "evalCount": 761,
      "chunks": 605,
      "thinkingChars": 1983,
      "contentChars": 73,
      "doneReason": "stop",
      "contentExcerpt": "道のりは「速さ × 時間」の公式で求められます。 4 km/h × 1.5 h = 6 km よって、進む道のりは 6 km です。 答え: 6"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "bunshou-3",
      "category": "bunshou",
      "extracted": "520",
      "correct": true,
      "wallMs": 8242,
      "evalCount": 850,
      "chunks": 723,
      "thinkingChars": 2207,
      "contentChars": 83,
      "doneReason": "stop",
      "contentExcerpt": "650人の80%を求めるには、650に0.8（または $\\frac{80}{100}$）を掛けます。 $650 \\times 0.8 = 520$ 答え: 520"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "bunshou-4",
      "category": "bunshou",
      "extracted": "2.5",
      "correct": true,
      "wallMs": 9958,
      "evalCount": 927,
      "chunks": 771,
      "thinkingChars": 2573,
      "contentChars": 39,
      "doneReason": "stop",
      "contentExcerpt": "道のり÷速さ＝時間で計算します。 12.5 ÷ 5 ＝ 2.5 答え: 2.5"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "bunshou-5",
      "category": "bunshou",
      "extracted": "500",
      "correct": true,
      "wallMs": 18276,
      "evalCount": 1772,
      "chunks": 1470,
      "thinkingChars": 4232,
      "contentChars": 138,
      "doneReason": "stop",
      "contentExcerpt": "ある数を $x$ とします。 問題より、$x \\times 35\\% = 175$ が成り立ちます。 $35\\%$ を小数で表すと $0.35$ なので、 $x \\times 0.35 = 175$ $x = 175 \\div 0.35$ $x = 500$ 答え: 500"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "heihoukon-1",
      "category": "heihoukon",
      "extracted": "4√7",
      "correct": true,
      "wallMs": 5655,
      "evalCount": 562,
      "chunks": 445,
      "thinkingChars": 1273,
      "contentChars": 101,
      "doneReason": "stop",
      "contentExcerpt": "√63 を因数分解して平方根を外します。 √63 = √(9 × 7) = √9 × √7 = 3√7 これに √7 を足すと、 3√7 + √7 = (3 + 1)√7 = 4√7 答え: 4√7"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "heihoukon-2",
      "category": "heihoukon",
      "extracted": "3√5",
      "correct": true,
      "wallMs": 5206,
      "evalCount": 555,
      "chunks": 435,
      "thinkingChars": 1281,
      "contentChars": 90,
      "doneReason": "stop",
      "contentExcerpt": "√15 × √3 = √(15 × 3) = √45 √45 を因数分解して整理すると、 √45 = √(9 × 5) = √9 × √5 = 3√5 答え: 3√5"
    },
    {
      "model": "qwen3.6:35b-a3b",
      "id": "heihoukon-3",
      "category": "heihoukon",
      "extracted": "2√5",
      "correct": true,
      "wallMs": 14195,
      "evalCount": 1445,
      "chunks": 1258,
      "thinkingChars": 3750,
      "contentChars": 206,
      "doneReason": "stop",
      "contentExcerpt": "まず、$\\sqrt{45}$ を簡単にします。 $45 = 9 \\times 5$ より、 $\\sqrt{45} = \\sqrt{9 \\times 5} = \\sqrt{9} \\times \\sqrt{5} = 3\\sqrt{5}$ です。 これを元の式に代入して計算すると、 $3\\sqrt{5} - \\sqrt{5} = (3-1)\\sqrt{5} = 2\\sqrt{5}$ となります。 答え: 2√5"
    },
    {
      "model": "gpt-oss:20b",
      "id": "seifu-1",
      "category": "seifu",
      "extracted": "3",
      "correct": true,
      "wallMs": 17433,
      "evalCount": 90,
      "chunks": 81,
      "thinkingChars": 210,
      "contentChars": 5,
      "doneReason": "stop",
      "contentExcerpt": "答え: 3"
    },
    {
      "model": "gpt-oss:20b",
      "id": "seifu-2",
      "category": "seifu",
      "extracted": "-11",
      "correct": true,
      "wallMs": 1029,
      "evalCount": 90,
      "chunks": 81,
      "thinkingChars": 228,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: -11"
    },
    {
      "model": "gpt-oss:20b",
      "id": "seifu-3",
      "category": "seifu",
      "extracted": "7",
      "correct": true,
      "wallMs": 1018,
      "evalCount": 87,
      "chunks": 76,
      "thinkingChars": 192,
      "contentChars": 5,
      "doneReason": "stop",
      "contentExcerpt": "答え: 7"
    },
    {
      "model": "gpt-oss:20b",
      "id": "seifu-4",
      "category": "seifu",
      "extracted": "92",
      "correct": true,
      "wallMs": 1037,
      "evalCount": 92,
      "chunks": 83,
      "thinkingChars": 221,
      "contentChars": 6,
      "doneReason": "stop",
      "contentExcerpt": "答え: 92"
    },
    {
      "model": "gpt-oss:20b",
      "id": "seifu-5",
      "category": "seifu",
      "extracted": "-19",
      "correct": true,
      "wallMs": 1530,
      "evalCount": 156,
      "chunks": 146,
      "thinkingChars": 417,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: -19"
    },
    {
      "model": "gpt-oss:20b",
      "id": "seifu-6",
      "category": "seifu",
      "extracted": "6",
      "correct": true,
      "wallMs": 1275,
      "evalCount": 123,
      "chunks": 112,
      "thinkingChars": 315,
      "contentChars": 5,
      "doneReason": "stop",
      "contentExcerpt": "答え: 6"
    },
    {
      "model": "gpt-oss:20b",
      "id": "mojishiki-1",
      "category": "mojishiki",
      "extracted": "-2x",
      "correct": true,
      "wallMs": 1092,
      "evalCount": 94,
      "chunks": 85,
      "thinkingChars": 158,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: -2x"
    },
    {
      "model": "gpt-oss:20b",
      "id": "mojishiki-2",
      "category": "mojishiki",
      "extracted": "10x-14",
      "correct": true,
      "wallMs": 1499,
      "evalCount": 157,
      "chunks": 147,
      "thinkingChars": 377,
      "contentChars": 10,
      "doneReason": "stop",
      "contentExcerpt": "答え: 10x-14"
    },
    {
      "model": "gpt-oss:20b",
      "id": "mojishiki-3",
      "category": "mojishiki",
      "extracted": "6x-24",
      "correct": true,
      "wallMs": 1454,
      "evalCount": 153,
      "chunks": 144,
      "thinkingChars": 303,
      "contentChars": 9,
      "doneReason": "stop",
      "contentExcerpt": "答え: 6x-24"
    },
    {
      "model": "gpt-oss:20b",
      "id": "mojishiki-4",
      "category": "mojishiki",
      "extracted": "4x-3",
      "correct": true,
      "wallMs": 1311,
      "evalCount": 128,
      "chunks": 119,
      "thinkingChars": 300,
      "contentChars": 8,
      "doneReason": "stop",
      "contentExcerpt": "答え: 4x-3"
    },
    {
      "model": "gpt-oss:20b",
      "id": "ichiji-1",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 1236,
      "evalCount": 114,
      "chunks": 105,
      "thinkingChars": 143,
      "contentChars": 85,
      "doneReason": "stop",
      "contentExcerpt": "7x + 12 = -44 7x = -44 – 12 7x = -56 x = \\(\\frac{-56}{7}\\) x = -8 答え: x=-8"
    },
    {
      "model": "gpt-oss:20b",
      "id": "ichiji-2",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 1020,
      "evalCount": 81,
      "chunks": 72,
      "thinkingChars": 149,
      "contentChars": 8,
      "doneReason": "stop",
      "contentExcerpt": "答え: x=-8"
    },
    {
      "model": "gpt-oss:20b",
      "id": "ichiji-3",
      "category": "ichiji",
      "extracted": "x=4",
      "correct": true,
      "wallMs": 1818,
      "evalCount": 198,
      "chunks": 187,
      "thinkingChars": 441,
      "contentChars": 65,
      "doneReason": "stop",
      "contentExcerpt": "4(x + 3) = 28 → x + 3 = 28 ÷ 4 = 7 → x = 7 – 3 = 4 答え: x=4"
    },
    {
      "model": "gpt-oss:20b",
      "id": "ichiji-4",
      "category": "ichiji",
      "extracted": "x=-2",
      "correct": true,
      "wallMs": 1362,
      "evalCount": 131,
      "chunks": 120,
      "thinkingChars": 164,
      "contentChars": 90,
      "doneReason": "stop",
      "contentExcerpt": "5 - 5x = 15 5 - 5x - 5 = 15 - 5 -5x = 10 -5x ÷ (-5) = 10 ÷ (-5) x = -2 答え: x=-2"
    },
    {
      "model": "gpt-oss:20b",
      "id": "ichiji-5",
      "category": "ichiji",
      "extracted": "x=8",
      "correct": true,
      "wallMs": 1358,
      "evalCount": 129,
      "chunks": 118,
      "thinkingChars": 137,
      "contentChars": 84,
      "doneReason": "stop",
      "contentExcerpt": "( x + 1 ) ÷ 3 = 3 → ( x + 1 ) / 3 = 3 × 3 → x + 1 = 9 x = 9 – 1 = 8 答え: x=8"
    },
    {
      "model": "gpt-oss:20b",
      "id": "renritsu-1",
      "category": "renritsu",
      "extracted": "x=1, y=-5",
      "correct": true,
      "wallMs": 1846,
      "evalCount": 197,
      "chunks": 188,
      "thinkingChars": 373,
      "contentChars": 13,
      "doneReason": "stop",
      "contentExcerpt": "答え: x=1, y=-5"
    },
    {
      "model": "gpt-oss:20b",
      "id": "renritsu-2",
      "category": "renritsu",
      "extracted": "x=6, y=-1",
      "correct": true,
      "wallMs": 1623,
      "evalCount": 160,
      "chunks": 151,
      "thinkingChars": 272,
      "contentChars": 13,
      "doneReason": "stop",
      "contentExcerpt": "答え: x=6, y=-1"
    },
    {
      "model": "gpt-oss:20b",
      "id": "renritsu-3",
      "category": "renritsu",
      "extracted": "x=2, y=6",
      "correct": true,
      "wallMs": 1406,
      "evalCount": 116,
      "chunks": 107,
      "thinkingChars": 186,
      "contentChars": 12,
      "doneReason": "stop",
      "contentExcerpt": "答え: x=2, y=6"
    },
    {
      "model": "gpt-oss:20b",
      "id": "renritsu-4",
      "category": "renritsu",
      "extracted": "x=-1, y=5",
      "correct": true,
      "wallMs": 2385,
      "evalCount": 269,
      "chunks": 259,
      "thinkingChars": 579,
      "contentChars": 13,
      "doneReason": "stop",
      "contentExcerpt": "答え: x=-1, y=5"
    },
    {
      "model": "gpt-oss:20b",
      "id": "kansu-1",
      "category": "kansu",
      "extracted": "-27",
      "correct": true,
      "wallMs": 964,
      "evalCount": 71,
      "chunks": 62,
      "thinkingChars": 143,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: -27"
    },
    {
      "model": "gpt-oss:20b",
      "id": "kansu-2",
      "category": "kansu",
      "extracted": "4",
      "correct": true,
      "wallMs": 939,
      "evalCount": 62,
      "chunks": 53,
      "thinkingChars": 125,
      "contentChars": 5,
      "doneReason": "stop",
      "contentExcerpt": "答え: 4"
    },
    {
      "model": "gpt-oss:20b",
      "id": "kansu-3",
      "category": "kansu",
      "extracted": "12",
      "correct": true,
      "wallMs": 1246,
      "evalCount": 101,
      "chunks": 92,
      "thinkingChars": 204,
      "contentChars": 6,
      "doneReason": "stop",
      "contentExcerpt": "答え: 12"
    },
    {
      "model": "gpt-oss:20b",
      "id": "bunshou-1",
      "category": "bunshou",
      "extracted": "2550",
      "correct": true,
      "wallMs": 1292,
      "evalCount": 95,
      "chunks": 86,
      "thinkingChars": 237,
      "contentChars": 8,
      "doneReason": "stop",
      "contentExcerpt": "答え: 2550"
    },
    {
      "model": "gpt-oss:20b",
      "id": "bunshou-2",
      "category": "bunshou",
      "extracted": "6",
      "correct": true,
      "wallMs": 900,
      "evalCount": 66,
      "chunks": 57,
      "thinkingChars": 140,
      "contentChars": 5,
      "doneReason": "stop",
      "contentExcerpt": "答え: 6"
    },
    {
      "model": "gpt-oss:20b",
      "id": "bunshou-3",
      "category": "bunshou",
      "extracted": "520",
      "correct": true,
      "wallMs": 1263,
      "evalCount": 116,
      "chunks": 107,
      "thinkingChars": 320,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: 520"
    },
    {
      "model": "gpt-oss:20b",
      "id": "bunshou-4",
      "category": "bunshou",
      "extracted": "2.5",
      "correct": true,
      "wallMs": 941,
      "evalCount": 77,
      "chunks": 68,
      "thinkingChars": 152,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: 2.5"
    },
    {
      "model": "gpt-oss:20b",
      "id": "bunshou-5",
      "category": "bunshou",
      "extracted": "500",
      "correct": true,
      "wallMs": 919,
      "evalCount": 70,
      "chunks": 61,
      "thinkingChars": 129,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: 500"
    },
    {
      "model": "gpt-oss:20b",
      "id": "heihoukon-1",
      "category": "heihoukon",
      "extracted": "4√7",
      "correct": true,
      "wallMs": 1021,
      "evalCount": 87,
      "chunks": 78,
      "thinkingChars": 172,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: 4√7"
    },
    {
      "model": "gpt-oss:20b",
      "id": "heihoukon-2",
      "category": "heihoukon",
      "extracted": "3√5",
      "correct": true,
      "wallMs": 1178,
      "evalCount": 112,
      "chunks": 103,
      "thinkingChars": 175,
      "contentChars": 49,
      "doneReason": "stop",
      "contentExcerpt": "√15 × √3 = √(15×3) = √45 = √(9×5) = 3√5 答え: 3√5"
    },
    {
      "model": "gpt-oss:20b",
      "id": "heihoukon-3",
      "category": "heihoukon",
      "extracted": "2√5",
      "correct": true,
      "wallMs": 1024,
      "evalCount": 91,
      "chunks": 82,
      "thinkingChars": 165,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: 2√5"
    },
    {
      "model": "qwen2.5:14b",
      "id": "seifu-1",
      "category": "seifu",
      "extracted": "3",
      "correct": true,
      "wallMs": 12151,
      "evalCount": 34,
      "chunks": 34,
      "thinkingChars": 0,
      "contentChars": 52,
      "doneReason": "stop",
      "contentExcerpt": "(-8) + 3 - (-8) の計算を行うと、-8 + 3 + 8 = 3 となります。 答え: 3"
    },
    {
      "model": "qwen2.5:14b",
      "id": "seifu-2",
      "category": "seifu",
      "extracted": "-11",
      "correct": true,
      "wallMs": 284,
      "evalCount": 6,
      "chunks": 6,
      "thinkingChars": 0,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: -11"
    },
    {
      "model": "qwen2.5:14b",
      "id": "seifu-3",
      "category": "seifu",
      "extracted": "7",
      "correct": true,
      "wallMs": 926,
      "evalCount": 52,
      "chunks": 50,
      "thinkingChars": 0,
      "contentChars": 79,
      "doneReason": "stop",
      "contentExcerpt": "(-7) × 5 ÷ (-5) の計算を行うと、まず (-7) × 5 = -35 となります。次に、-35 ÷ (-5) = 7 となります。 答え: 7"
    },
    {
      "model": "qwen2.5:14b",
      "id": "seifu-4",
      "category": "seifu",
      "extracted": "92",
      "correct": true,
      "wallMs": 638,
      "evalCount": 30,
      "chunks": 30,
      "thinkingChars": 0,
      "contentChars": 39,
      "doneReason": "stop",
      "contentExcerpt": "(-6)² - 7 × (-8) = 36 + 56 = 92 答え: 92"
    },
    {
      "model": "qwen2.5:14b",
      "id": "seifu-5",
      "category": "seifu",
      "extracted": "-19",
      "correct": true,
      "wallMs": 1673,
      "evalCount": 103,
      "chunks": 102,
      "thinkingChars": 0,
      "contentChars": 151,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は、優先順位に従って計算します。乗算が加算よりも優先されるため、最初に \"-8 × 4\" を計算し、その後でその結果と \"13\" を足します。 -8 × 4 = -32 次に、この結果を元の式に戻して計算します： 13 + (-32) = 13 - 32 = -19 答え: -19"
    },
    {
      "model": "qwen2.5:14b",
      "id": "seifu-6",
      "category": "seifu",
      "extracted": "6",
      "correct": true,
      "wallMs": 1599,
      "evalCount": 98,
      "chunks": 94,
      "thinkingChars": 0,
      "contentChars": 146,
      "doneReason": "stop",
      "contentExcerpt": "(-3) - 9 × (-3) ÷ 3 の計算を行うと、以下のようになります： 1. 最初に掛け算と割り算を行います：9 × (-3) = -27, その後 -27 ÷ 3 = -9. 2. 次に足し算や引き算を行います：(-3) - (-9) = (-3) + 9 = 6. 答え: 6"
    },
    {
      "model": "qwen2.5:14b",
      "id": "mojishiki-1",
      "category": "mojishiki",
      "extracted": "\\(-2x\\)",
      "correct": false,
      "wallMs": 2452,
      "evalCount": 153,
      "chunks": 153,
      "thinkingChars": 0,
      "contentChars": 219,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は \\(2(3x + 2) - 2(4x + 2)\\) です。 まず、分配法則を使って括弧を展開します： \\[= 6x + 4 - (8x + 4)\\] 次に、マイナスの符号を通じて二番目の括弧内の各項に負号を適用します： \\[= 6x + 4 - 8x - 4\\] 最後に似た項をまとめます： \\[= (6x - 8x) + (4 - 4)\\] \\[= -2x + 0\\] \\[= -2x\\] 答え: \\(-2x\\)"
    },
    {
      "model": "qwen2.5:14b",
      "id": "mojishiki-2",
      "category": "mojishiki",
      "extracted": "10x-14",
      "correct": true,
      "wallMs": 1070,
      "evalCount": 60,
      "chunks": 60,
      "thinkingChars": 0,
      "contentChars": 84,
      "doneReason": "stop",
      "contentExcerpt": "(7x - 6) + (3x - 8) を計算すると、似た項をまとめて、 7x + 3x - 6 - 8 = 10x - 14 となります。 答え: 10x-14"
    },
    {
      "model": "qwen2.5:14b",
      "id": "mojishiki-3",
      "category": "mojishiki",
      "extracted": "\\(6x-24\\)",
      "correct": false,
      "wallMs": 1926,
      "evalCount": 122,
      "chunks": 122,
      "thinkingChars": 0,
      "contentChars": 171,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は \\(3(x - 6) + 3(x - 2)\\) です。これを展開し、似た項をまとめて最も簡単な形にします。 \\[ 3(x - 6) + 3(x - 2) = 3x - 18 + 3x - 6 \\] 次に、似た項をまとめます： \\[ 3x + 3x - 18 - 6 = 6x - 24 \\] 答え: \\(6x-24\\)"
    },
    {
      "model": "qwen2.5:14b",
      "id": "mojishiki-4",
      "category": "mojishiki",
      "extracted": "4x-3",
      "correct": true,
      "wallMs": 1391,
      "evalCount": 83,
      "chunks": 83,
      "thinkingChars": 0,
      "contentChars": 112,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式は (5x - 2) - (x + 1) です。これを展開し、似た項をまとめて最も簡単な形にします。 (5x - 2) - (x + 1) = 5x - 2 - x - 1 = 4x - 3 答え: 4x-3"
    },
    {
      "model": "qwen2.5:14b",
      "id": "ichiji-1",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 1608,
      "evalCount": 98,
      "chunks": 94,
      "thinkingChars": 0,
      "contentChars": 144,
      "doneReason": "stop",
      "contentExcerpt": "方程式 \\(7x + 12 = -44\\) を解きます。 まず、両辺から 12 を引いて式を整理します： \\[7x = -44 - 12\\] \\[7x = -56\\] 次に、両辺を 7 で割ります： \\[x = \\frac{-56}{7}\\] \\[x = -8\\] 答え: x=-8"
    },
    {
      "model": "qwen2.5:14b",
      "id": "ichiji-2",
      "category": "ichiji",
      "extracted": "x=-8",
      "correct": true,
      "wallMs": 1358,
      "evalCount": 81,
      "chunks": 77,
      "thinkingChars": 0,
      "contentChars": 115,
      "doneReason": "stop",
      "contentExcerpt": "方程式 \\(7x - 12 = 8x - 4\\) を解きます。 まず、両辺から \\(7x\\) を引くと： \\[ -12 = x - 4 \\] 次に、両辺に \\(4\\) を加えると： \\[ -8 = x \\] 答え: x=-8"
    },
    {
      "model": "qwen2.5:14b",
      "id": "ichiji-3",
      "category": "ichiji",
      "extracted": "x=4",
      "correct": true,
      "wallMs": 1625,
      "evalCount": 99,
      "chunks": 95,
      "thinkingChars": 0,
      "contentChars": 148,
      "doneReason": "stop",
      "contentExcerpt": "方程式を解いていきます： \\[ 4(x + 3) = 28 \\] まず、両辺を 4 で割ります： \\[ x + 3 = \\frac{28}{4} \\] \\[ x + 3 = 7 \\] 次に、両辺から 3 を引きます： \\[ x = 7 - 3 \\] \\[ x = 4 \\] 答え: x=4"
    },
    {
      "model": "qwen2.5:14b",
      "id": "ichiji-4",
      "category": "ichiji",
      "extracted": "x=-2",
      "correct": true,
      "wallMs": 1432,
      "evalCount": 86,
      "chunks": 82,
      "thinkingChars": 0,
      "contentChars": 124,
      "doneReason": "stop",
      "contentExcerpt": "方程式 \\(5 - 5x = 15\\) を解きます。 まず、両辺から 5 を引いて整理します： \\[ -5x = 10 \\] 次に、両辺を \\(-5\\) で割ります： \\[ x = \\frac{10}{-5} = -2 \\] 答え: x=-2"
    },
    {
      "model": "qwen2.5:14b",
      "id": "ichiji-5",
      "category": "ichiji",
      "extracted": "x=8",
      "correct": true,
      "wallMs": 1545,
      "evalCount": 93,
      "chunks": 88,
      "thinkingChars": 0,
      "contentChars": 136,
      "doneReason": "stop",
      "contentExcerpt": "与えられた方程式は次の通りです： \\[ (x + 1) \\div 3 = 3 \\] まず、両辺に 3 を掛けて式を簡単にしてみましょう。 \\[ x + 1 = 9 \\] 次に、両辺から 1 を引いて x の値を求めます。 \\[ x = 8 \\] 答え: x=8"
    },
    {
      "model": "qwen2.5:14b",
      "id": "renritsu-1",
      "category": "renritsu",
      "extracted": "x=1, y=-5",
      "correct": true,
      "wallMs": 4060,
      "evalCount": 264,
      "chunks": 259,
      "thinkingChars": 0,
      "contentChars": 410,
      "doneReason": "stop",
      "contentExcerpt": "与えられた連立方程式は以下の通りです： 1) \\(2x - 2y = 12\\) 2) \\(-3x + 5y = -28\\) まず、方程式 (1) を簡単にするために両辺を 2 で割ると、\\(x - y = 6\\) となります。これにより \\(x = y + 6\\) の形に変形できます。 次に、この \\(x\\) の式を方程式 (2) に代入します： \\(-3(y + 6) + 5y = -28\\) これを展開すると、 \\(-3y - 18 + 5y = -28\\) 整理して、 \\(2y - 18 = -28\\) 両辺に 18 を加えると、 \\(2y = -10\\) よって、\\(y = -5\\) …"
    },
    {
      "model": "qwen2.5:14b",
      "id": "renritsu-2",
      "category": "renritsu",
      "extracted": "x=6, y=-1",
      "correct": true,
      "wallMs": 3797,
      "evalCount": 250,
      "chunks": 249,
      "thinkingChars": 0,
      "contentChars": 389,
      "doneReason": "stop",
      "contentExcerpt": "この連立方程式を解いていきます。 まず、与えられた方程式は以下の通りです： \\[ 4x + 3y = 21 \\] \\[ x + 2y = 4 \\] 2つ目の式から \\( x \\) を求めます。\\( x = 4 - 2y \\) と表せます。 次に、この \\( x \\) の値を最初の方程式に代入します： \\[ 4(4 - 2y) + 3y = 21 \\] これを展開して整理すると： \\[ 16 - 8y + 3y = 21 \\] \\[ 16 - 5y = 21 \\] \\[ -5y = 5 \\] \\[ y = -1 \\] 次に、\\( y = -1 \\) を \\( x = 4 - 2y \\) に代入し…"
    },
    {
      "model": "qwen2.5:14b",
      "id": "renritsu-3",
      "category": "renritsu",
      "extracted": "x=2, y=6",
      "correct": true,
      "wallMs": 3036,
      "evalCount": 194,
      "chunks": 193,
      "thinkingChars": 0,
      "contentChars": 292,
      "doneReason": "stop",
      "contentExcerpt": "与えられた連立方程式は以下の通りです： 1. \\(3x + 3y = 24\\) 2. \\(-3x + y = 0\\) まず、2番目の式から \\(y\\) を解くと、\\(y = 3x\\) となります。 次に、この \\(y = 3x\\) の関係を1番目の式に代入します。つまり、 \\[3x + 3(3x) = 24\\] これを整理すると： \\[3x + 9x = 24\\] \\[12x = 24\\] \\[x = 2\\] 次に、\\(x = 2\\) を \\(y = 3x\\) に代入して \\(y\\) の値を求めます。 \\[y = 3(2) = 6\\] 答え: x=2, y=6"
    },
    {
      "model": "qwen2.5:14b",
      "id": "renritsu-4",
      "category": "renritsu",
      "extracted": "x=-1, y=5",
      "correct": true,
      "wallMs": 4147,
      "evalCount": 267,
      "chunks": 262,
      "thinkingChars": 0,
      "contentChars": 433,
      "doneReason": "stop",
      "contentExcerpt": "与えられた連立方程式は以下の通りです： 1) \\(4x - 2y = -14\\) 2) \\(3x - y = -8\\) まず、方程式 (2) を利用して \\(y\\) の値を求めるために \\(x\\) の係数を揃えることができます。方程式 (2) を2倍すると： \\(6x - 2y = -16\\) これと方程式 (1) を比較します： \\[4x - 2y = -14\\] \\[6x - 2y = -16\\] これらの式を引くことで \\(x\\) の値を求めることができます： \\(6x - 2y - (4x - 2y) = -16 - (-14)\\) これにより： \\[2x = -2\\] \\[x = -…"
    },
    {
      "model": "qwen2.5:14b",
      "id": "kansu-1",
      "category": "kansu",
      "extracted": "-27",
      "correct": true,
      "wallMs": 988,
      "evalCount": 51,
      "chunks": 51,
      "thinkingChars": 0,
      "contentChars": 77,
      "doneReason": "stop",
      "contentExcerpt": "y = 6x + 9 に x = -6 を代入します。 y = 6(-6) + 9 y = -36 + 9 y = -27 答え: -27"
    },
    {
      "model": "qwen2.5:14b",
      "id": "kansu-2",
      "category": "kansu",
      "extracted": "4",
      "correct": true,
      "wallMs": 1420,
      "evalCount": 83,
      "chunks": 81,
      "thinkingChars": 0,
      "contentChars": 131,
      "doneReason": "stop",
      "contentExcerpt": "与えられた一次関数は \\( y = x + 9 \\) です。ここで、\\( y = 13 \\) とします。 \\[ 13 = x + 9 \\] これを解くために、両辺から 9 を引きます。 \\[ 13 - 9 = x \\] \\[ 4 = x \\] 答え: 4"
    },
    {
      "model": "qwen2.5:14b",
      "id": "kansu-3",
      "category": "kansu",
      "extracted": "12",
      "correct": true,
      "wallMs": 2268,
      "evalCount": 143,
      "chunks": 139,
      "thinkingChars": 0,
      "contentChars": 207,
      "doneReason": "stop",
      "contentExcerpt": "y = 3x + 4 という式があるとき、x の値が 4 である時の y の値は： \\[ y_1 = 3 \\times 4 + 4 = 12 + 4 = 16 \\] 同様に、x の値が 8 である時の y の値は： \\[ y_2 = 3 \\times 8 + 4 = 24 + 4 = 28 \\] したがって、y の増加量は： \\[ y_2 - y_1 = 28 - 16 = 12 \\] 答え: 12"
    },
    {
      "model": "qwen2.5:14b",
      "id": "bunshou-1",
      "category": "bunshou",
      "extracted": "2550",
      "correct": true,
      "wallMs": 1471,
      "evalCount": 88,
      "chunks": 84,
      "thinkingChars": 0,
      "contentChars": 116,
      "doneReason": "stop",
      "contentExcerpt": "定価 3000 円の商品を 15% 引きで買う場合、割引額は \\(3000 \\times 0.15 = 450\\) 円です。 したがって、支払う代金は \\(3000 - 450 = 2550\\) 円になります。 答え: 2550"
    },
    {
      "model": "qwen2.5:14b",
      "id": "bunshou-2",
      "category": "bunshou",
      "extracted": "6",
      "correct": true,
      "wallMs": 281,
      "evalCount": 5,
      "chunks": 5,
      "thinkingChars": 0,
      "contentChars": 5,
      "doneReason": "stop",
      "contentExcerpt": "答え: 6"
    },
    {
      "model": "qwen2.5:14b",
      "id": "bunshou-3",
      "category": "bunshou",
      "extracted": "520",
      "correct": true,
      "wallMs": 293,
      "evalCount": 7,
      "chunks": 7,
      "thinkingChars": 0,
      "contentChars": 7,
      "doneReason": "stop",
      "contentExcerpt": "答え: 520"
    },
    {
      "model": "qwen2.5:14b",
      "id": "bunshou-4",
      "category": "bunshou",
      "extracted": "2.5",
      "correct": true,
      "wallMs": 872,
      "evalCount": 48,
      "chunks": 43,
      "thinkingChars": 0,
      "contentChars": 59,
      "doneReason": "stop",
      "contentExcerpt": "解き方：移動距離 ÷ 移動速度 = 必要な時間 12.5 km ÷ 5 km/時 = 2.5 時間 答え: 2.5"
    },
    {
      "model": "qwen2.5:14b",
      "id": "bunshou-5",
      "category": "bunshou",
      "extracted": "500",
      "correct": true,
      "wallMs": 2002,
      "evalCount": 127,
      "chunks": 125,
      "thinkingChars": 0,
      "contentChars": 187,
      "doneReason": "stop",
      "contentExcerpt": "ある数の 35% が 175 であるとすると、そのある数を x とおくことができます。x の 35% は 0.35x であり、これが 175 に等しいので、方程式を作ることができます。 \\[ 0.35x = 175 \\] これを解くために両辺を 0.35 で割ります。 \\[ x = \\frac{175}{0.35} \\] \\[ x = 500 \\] 答え: 500"
    },
    {
      "model": "qwen2.5:14b",
      "id": "heihoukon-1",
      "category": "heihoukon",
      "extracted": "4√7",
      "correct": true,
      "wallMs": 1574,
      "evalCount": 95,
      "chunks": 91,
      "thinkingChars": 0,
      "contentChars": 128,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式を最も簡単な形にするために、まず各平方根の中身を素因数分解します。 √63 = √(9 * 7) = √(3^2 * 7) = 3√7 したがって、 √63 + √7 = 3√7 + √7 = (3+1)√7 = 4√7 答え: 4√7"
    },
    {
      "model": "qwen2.5:14b",
      "id": "heihoukon-2",
      "category": "heihoukon",
      "extracted": "3√5",
      "correct": true,
      "wallMs": 1873,
      "evalCount": 116,
      "chunks": 116,
      "thinkingChars": 0,
      "contentChars": 202,
      "doneReason": "stop",
      "contentExcerpt": "解き方：ルートの中身を掛け合わせることができます。 \\[ \\sqrt{15} \\times \\sqrt{3} = \\sqrt{15 \\times 3} = \\sqrt{45} \\] さらに、45は9と5の積であり、9は完全平方数なので、 \\[ \\sqrt{45} = \\sqrt{9 \\times 5} = \\sqrt{9} \\times \\sqrt{5} = 3\\sqrt{5} \\] 答え: 3√5"
    },
    {
      "model": "qwen2.5:14b",
      "id": "heihoukon-3",
      "category": "heihoukon",
      "extracted": "2√5",
      "correct": true,
      "wallMs": 2093,
      "evalCount": 129,
      "chunks": 129,
      "thinkingChars": 0,
      "contentChars": 220,
      "doneReason": "stop",
      "contentExcerpt": "与えられた式を展開して解いていきます： \\[ \\sqrt{45} - \\sqrt{5} \\] まず、√45 を平方数を使って簡略化します。 \\[ \\sqrt{45} = \\sqrt{9 \\times 5} = \\sqrt{9} \\times \\sqrt{5} = 3\\sqrt{5} \\] したがって、 \\[ 3\\sqrt{5} - \\sqrt{5} = (3-1)\\sqrt{5} = 2\\sqrt{5} \\] 答え: 2√5"
    }
  ],
  "summary": [
    {
      "model": "gemma4:31b",
      "total": 30,
      "correct": 30,
      "accuracy": 100,
      "meanSeconds": 11.2,
      "errors": 0,
      "categories": {
        "seifu": {
          "label": "正負の数の四則",
          "total": 6,
          "correct": 6
        },
        "mojishiki": {
          "label": "文字式の計算",
          "total": 4,
          "correct": 4
        },
        "ichiji": {
          "label": "一次方程式",
          "total": 5,
          "correct": 5
        },
        "renritsu": {
          "label": "連立方程式",
          "total": 4,
          "correct": 4
        },
        "kansu": {
          "label": "一次関数の値",
          "total": 3,
          "correct": 3
        },
        "bunshou": {
          "label": "割合・速さの文章題",
          "total": 5,
          "correct": 5
        },
        "heihoukon": {
          "label": "平方根の計算",
          "total": 3,
          "correct": 3
        }
      }
    },
    {
      "model": "qwen3.6:35b-a3b",
      "total": 30,
      "correct": 28,
      "accuracy": 93.3,
      "meanSeconds": 37.5,
      "errors": 2,
      "categories": {
        "seifu": {
          "label": "正負の数の四則",
          "total": 6,
          "correct": 6
        },
        "mojishiki": {
          "label": "文字式の計算",
          "total": 4,
          "correct": 4
        },
        "ichiji": {
          "label": "一次方程式",
          "total": 5,
          "correct": 5
        },
        "renritsu": {
          "label": "連立方程式",
          "total": 4,
          "correct": 3
        },
        "kansu": {
          "label": "一次関数の値",
          "total": 3,
          "correct": 2
        },
        "bunshou": {
          "label": "割合・速さの文章題",
          "total": 5,
          "correct": 5
        },
        "heihoukon": {
          "label": "平方根の計算",
          "total": 3,
          "correct": 3
        }
      }
    },
    {
      "model": "gpt-oss:20b",
      "total": 30,
      "correct": 30,
      "accuracy": 100,
      "meanSeconds": 1.8,
      "errors": 0,
      "categories": {
        "seifu": {
          "label": "正負の数の四則",
          "total": 6,
          "correct": 6
        },
        "mojishiki": {
          "label": "文字式の計算",
          "total": 4,
          "correct": 4
        },
        "ichiji": {
          "label": "一次方程式",
          "total": 5,
          "correct": 5
        },
        "renritsu": {
          "label": "連立方程式",
          "total": 4,
          "correct": 4
        },
        "kansu": {
          "label": "一次関数の値",
          "total": 3,
          "correct": 3
        },
        "bunshou": {
          "label": "割合・速さの文章題",
          "total": 5,
          "correct": 5
        },
        "heihoukon": {
          "label": "平方根の計算",
          "total": 3,
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        }
      }
    },
    {
      "model": "qwen2.5:14b",
      "total": 30,
      "correct": 28,
      "accuracy": 93.3,
      "meanSeconds": 2.1,
      "errors": 0,
      "categories": {
        "seifu": {
          "label": "正負の数の四則",
          "total": 6,
          "correct": 6
        },
        "mojishiki": {
          "label": "文字式の計算",
          "total": 4,
          "correct": 2
        },
        "ichiji": {
          "label": "一次方程式",
          "total": 5,
          "correct": 5
        },
        "renritsu": {
          "label": "連立方程式",
          "total": 4,
          "correct": 4
        },
        "kansu": {
          "label": "一次関数の値",
          "total": 3,
          "correct": 3
        },
        "bunshou": {
          "label": "割合・速さの文章題",
          "total": 5,
          "correct": 5
        },
        "heihoukon": {
          "label": "平方根の計算",
          "total": 3,
          "correct": 3
        }
      }
    }
  ]
}