| {"id": "CAP_mathematics-102-23", "question": "判斷下列各式的值，何者最小？", "correct_choices": ["$8 - (- \\frac{13}{29})^{14}$"], "incorrect_choices": ["$8 - (- \\frac{13}{29})^{11}$", "$8 - (- \\frac{13}{29})^{17}$", "$8 - (- \\frac{13}{29})^{20}$"], "metadata": {"timestamp": "2023-10-29 01:58:12.626759", "source": "CAP_mathematics-102"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-112-1", "question": "$(-3)^3$ 之值為何？", "correct_choices": ["-27"], "incorrect_choices": ["-9", "9", "27"], "metadata": {"timestamp": "2023-10-29 01:58:12.628968", "source": "CAP_mathematics-112"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-111-22", "question": "已知坐標平面上有二次函數 $y=-(x+6)^2+5$ 的圖形，函數圖形與$x$ 軸相交 於 $(a,0)$ 、 $(b,0)$ 兩點，其中 $a<b$。今將此函數圖形往上平移，平移後函數形與$x$ 軸相交於 $(c,0)$ 、 $(d,0)$ 兩點，其中 $c<d$，判斷下列敘述何者正確？", "correct_choices": ["$(a+b)=(c+d)$，$(b-a)<(d-c)$"], "incorrect_choices": ["$(a+b)=(c+d)$，$(b-a)>(d-c)$", "$(a+b)<(c+d)$，$(b-a)<(d-c)$", "$(a+b)<(c+d)$，$(b-a)>(d-c)$"], "metadata": {"timestamp": "2023-10-29 01:58:12.628946", "source": "CAP_mathematics-111"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-109-16", "question": "中秋節時阿柚製作的廣式月餅、蛋黃酥、鳳梨酥的數量比為 2:1:3 ,其中只有製作廣式月餅和蛋黃酥時使用鹹蛋黃。若阿柚製作每個廣式月餅時使用 2 顆鹹蛋黃，製作每個蛋黃酥時使用 1 顆鹹蛋黃，且總共使用 120 顆鹹蛋黃，則他製作了幾個鳳梨酥？", "correct_choices": ["72"], "incorrect_choices": ["45", "60", "120"], "metadata": {"timestamp": "2023-10-29 01:58:12.628434", "source": "CAP_mathematics-109"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-105-6", "question": "多項式$77x^{2} −13x−30$可因式分解成$(7x+a)(bx+c)$，其中a、b、c均為 整數，求 a + b + c 之值為何?", "correct_choices": ["12"], "incorrect_choices": ["0", "10", "22"], "metadata": {"timestamp": "2023-10-29 01:58:12.627386", "source": "CAP_mathematics-105"}, "human_evaluation": {"quality": "", "comments": ""}} | |