env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 下面是几个布尔表达式：
A. (((((4 + -7) == (9 * -7 - 1 * -2)) and ((8 - 15) <= (-20 * 19))) and (牛有0条腿。)) or ((((-3 + -17) < (50 % 2)) and (蛇是爬行动物。)) or ((铜在常温下是固体。) and (鳄鱼是爬行动物。)))) or (((-12 * 9) < (15 + -20) < (-7 - 18)) and (((-10 - 4) <= (-3 * -8 * -6 * 6) <= (2 + -18)) and ((1 * 12) >= (-11 - -2)))) or (not (((-3 * 0 - -6 ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 72401879,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (((((4 + -7) == (9 * -7 - 1 * -2)) and ((8 - 15) <= (-20 * 19))... |
logic-v2 | 考虑以下布尔表达式：
A. (not ((not ((16 * -16) >= (5 * 10 * 10 * -1))) and (not (氯的化学符号是Fe。)))) and (not not ((锰的化学符号是Mn。) and (埃及位于非洲。))) and (((7 - -9) == (9 - 19)) or ((新加坡的货币是新加坡元。) or (氖的化学符号是Ne。)) or (not (秘鲁的首都是利马。)))
B. not not ((挪威的首都是奥斯陆。) or ((十月有31天。) and (鲤鱼是鱼类。)) or (五月有31天。))
C. not (((((-7 * 4 * 4 * 10) < (-16 -... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 87000220,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not ((not ((16 * -16) >= (5 * 10 * 10 * -1))) and (not (氯的化学符... |
logic-v2 | 分析以下逻辑表达式：
A. 智利的货币是克朗。
B. 1988年奥运会在伦敦举办。
C. not not ((2012年奥运会在伦敦举办。) or ((-5 * 5 - -9 * -1) <= (2 % 9)))
D. ((1 ** 3) <= (3 + -5) <= (6 - -9)) or (not not (蚊子是昆虫。))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 41204544,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. 智利的货币是克朗。\nB. 1988年奥运会在伦敦举办。\nC. not not ((2012年奥运会在伦敦举办。) or ((... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not ((-4 * -5 + -1 * -3) < (-16 + -15))) and (not not ((not (New Zealand is in South America.)) or (((12 - -17) <= (3 * -4 + 5 * 7)) or ((-14 - 6) < (14 - 2)))))
B. ((((China is in Asia.) or ((5 ** 1) >= (-11 - 1))) or (not ((-4 * 10... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 46313030,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 研究以下逻辑语句：
A. (埃及的货币是埃及镑。) or ((not (法国的首都是巴黎。)) or (((20 + -5) != (-9 * -13)) or ((-1 * 12) >= (-2 + 20))))
B. ((26是完全平方数。) and (加拿大的首都是渥太华。)) or (((-12 - 0) == (11 - -18)) or (not (鲱鱼是昆虫。)))
C. not not ((((0 * -20) >= (0 + 5)) or ((-7 * 8 * -6 * -8) == (2 ** 1))) or (((-15 - 20) != (-16 - -14)) or (36的平方根是2。)))
D. (n... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 25918251,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. (埃及的货币是埃及镑。) or ((not (法国的首都是巴黎。)) or (((20 + -5) != (-9 * ... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not (英国位于北美洲。)) and (((6 * 0 * 4 * -4) <= (16 + 14)) or ((19 * 6) >= (26 % 10))))
B. (((铁在常温下是气体。) or (氮气在常温下是固体。)) and (not (第一次世界大战开始发生在1914年。))) and ((18 + 2) != (-10 * -20))
C. ((((14 - 2) > (-10 * 18)) or ((4 ** 3) >= (15 * 12))) or ((42是质数。) or (钻石由碳元素组成。))) or ((-7 - -20) <= (-8 + -6))
D... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 62816163,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not (英国位于北美洲。)) and (((6 * 0 * 4 * -4) <= (16 + 14... |
logic-v2 | 考虑以下布尔表达式：
A. ((-2 - -11) <= (-9 * 8 - 5 * 0)) or ((氢的化学符号是H。) or ((7 * 6) >= (-1 * 0)))
B. (((柏林墙倒塌发生在1988年。) and (金的化学符号是Au。)) and (((19 + 18) < (-9 + -3)) or (汞的化学符号是Ne。))) or ((5 + 17) == (5 - -15))
C. (not ((芬兰的首都是赫尔辛基。) and (木星是距离太阳第1近的行星。))) and ((金星是距离太阳第2近的行星。) or ((-5 * -7 + 8 * 1) <= (3 * -10 + -6 * -6) <= ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 78441048,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. ((-2 - -11) <= (-9 * 8 - 5 * 0)) or ((氢的化学符号是H。) or ((7 * 6) >= (-... |
logic-v2 | Review these logical expressions:
A. not (((A salmon is a fish.) and (A crab has 10 legs.)) and ((20 + 8) != (11 + -17)))
B. not ((There are 29 days in December.) and (The 1936 Olympics were held in Berlin.))
C. not ((((2 ** 3) > (7 * 1)) and (Mercury is the 1st planet from the Sun.)) and (((19 - 19) < (5 ** 1)) and (... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 66099171,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (((A salmon is a fish.) and (A cr... |
logic-v2 | 考虑以下布尔表达式：
A. ((-18 + 3) < (1 * 1)) and (not not (地球是距离太阳第6近的行星。))
B. 牛有6条腿。
C. (((13 % 2) <= (-2 * -3 - 9 * -9)) or (乌克兰的首都是基辅。)) and (1956年奥运会在墨尔本举办。)
D. (5 * -4 + 9 * 5) >= (5 - -20)
E. (((4 ** 1) >= (22 % 3)) and (火星是距离太阳第5近的行星。)) and ((水在海平面上的沸点是100摄氏度。) or (泰国位于亚洲。))
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 22334450,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((-18 + 3) < (1 * 1)) and (not not (地球是距离太阳第6近的行星。))\nB. 牛有6条腿。\... |
logic-v2 | 考虑以下布尔表达式：
A. (((not (not (水星是距离太阳第1近的行星。))) and ((((-1 * -1 - 2 * 7) != (5 ** 1)) and (木星是距离太阳第5近的行星。)) and (((-18 - 13) == (10 * 7)) and (鳄鱼是爬行动物。)))) and (not not (((-9 + -5) >= (-13 * -12)) and (声音无法在真空中传播。))) and (((荷兰的首都是阿姆斯特丹。) and ((墨西哥的首都是墨西哥城。) and (磷的化学符号是H。))) and ((5 - 8) < (-12 + 2)))) and (not not ((-10... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 96084594,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. (((not (not (水星是距离太阳第1近的行星。))) and ((((-1 * -1 - 2 * 7) != (5 ** 1... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not not (A gecko is a fish.))) or (not ((not not ((-8 * 7 - 3 * -10) >= (-16 * 5))) or ((Venus is the 2nd planet from the Sun.) and (Light travels faster than sound.))))
B. not ((not (((15 * 6) == (-5 * -1 - -3 * -6)) and ((-6 * -6 - 6 * 10) == (0 * -2 * 5 * 8)))) or (no... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 56652232,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not not (A gecko is a fish.))) o... |
logic-v2 | 考虑以下布尔表达式：
A. (not not (((冰在常温下是气体。) and (地球绕太阳运转。)) and (not not ((1 ** 1) <= (0 * 4))))) or (((铁在常温下是固体。) or (铝的化学符号是Mn。)) or (马来西亚的首都是吉隆坡。)) or (not not (not (not (巴西的首都是曼谷。))))
B. not (not not ((((8 * -5 * -9 * -5) <= (-3 + 1) <= (11 + 14)) or (146是奇数。)) and (not ((10 * -1 + 2 * 1) < (-6 * -2)))))
C. not (not not ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 5098581,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not not (((冰在常温下是气体。) and (地球绕太阳运转。)) and (not not ((1 ** 1) <... |
logic-v2 | 分析以下逻辑表达式：
A. not (((16 * 9) >= (-5 * 20)) or (巴西位于南美洲。))
B. ((中国的货币是人民币。) or ((-7 * 10 * 3 * -3) == (-4 * 4 + -4 * -2))) or (((-10 - -6) < (-10 * 5 * -2 * -4)) or (日本位于亚洲。))
C. (((1 ** 1) > (9 * -10)) or (1904年奥运会在悉尼举办。)) and (埃及的货币是比索。)
D. (144的平方根是12。) and (not (567是斐波那契数。))
E. (not not ((3 + 20) == (16 - -7))) or ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 64826991,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not (((16 * 9) >= (-5 * 20)) or (巴西位于南美洲。))\nB. ((中国的货币是人民币。) ... |
logic-v2 | 下面是几个布尔表达式：
A. not (not not ((6 + 8) >= (-18 - -4)))
B. ((-4 * -1 * 8 * 10) != (26 % 1)) or (((36 % 5) != (-7 - 8)) or (第二次世界大战开始发生在1939年。))
C. (((16 + 20) <= (2 ** 1)) or (氧的化学符号是O。)) or (((19 - 11) < (-12 * 5)) or (1928年奥运会在阿姆斯特丹举办。))
D. ((-13 - 18) > (-8 * -4 * -2 * 7)) or ((青蛙有4条腿。) or ((1 ** 1) != (-5 + 7)))
E. n... | {
"game_data": {
"answer": "B,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 97624812,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. not (not not ((6 + 8) >= (-18 - -4)))\nB. ((-4 * -1 * 8... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not not (not ((((5 ** 2) < (2 ** 1) < (4 ** 1)) or (((6 + 15) < (2 + -9)) or (880是斐波那契数。))) and (not not ((7 * -1 - -4 * 6) == (-17 - -20))) and (not not (((5 ** 2) >= (1 ** 2)) and (氦气在常温下是气体。))))))
B. not (((not (伦敦大火发生在1666年。)) or (大象有4条腿。) or (((((-9 - 10) <= (-9 - 0)) and ((19 + -9) != (-1... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 96155952,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not not (not not (not ((((5 ** 2) < (2 ** 1) < (4 ** 1)) or (((6 ... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not ((((-1 * -19) != (-9 * -20)) and (2008年是闰年。)) and (((-3 * -19) < (-17 * -10) < (-5 * -7 + -5 * -4)) and (爱尔兰的首都是都柏林。)))) and ((0 - -5) <= (10 * -1 * 8 * 8)) and (not ((西班牙位于欧洲。) and (not not (19是完全平方数。))))) and (((巴西位于大洋洲。) and (((43 % 5) >= (11 - -8)) or (((-16 - 2) < (10 - 18)) and (鸡有2条腿。)))... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 53218343,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((not not ((((-1 * -19) != (-9 * -20)) and (2008年是闰年。)) and (((-... |
logic-v2 | 评估以下每个表达式：
A. 第一部iPhone发布发生在2007年。
B. (-18 + -9) < (6 * 8 - 8 * -3)
C. ((第二次世界大战结束发生在1945年。) or ((9 * -8 - 6 * 2) > (-6 * 14))) or (鸡是鸟类。)
D. (-12 + 6) < (-2 * 3 * -6 * -7) < (15 % 1)
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 26387187,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. 第一部iPhone发布发生在2007年。\nB. (-18 + -9) < (6 * 8 - 8 * -3)\nC. ((第... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not ((37 % 7) >= (12 + 0))) and ((not ((0 - 18) > (19 - 11))) and ((((0 * 5) == (1 ** 3)) and ((-12 - -8) == (-9 * 3 - 3 * -7))) or ((-1 * 2 * -10 * -9) == (38 % 3))))) and (((not (125是完全平方数。)) or (((3 - 17) >= (19 + 12)) or ((铝的化学符号是Mn。) or (钻石在常温下是液体。)))) or (((not (马有8条腿。)) and (秘鲁的首都是里斯本。)) and... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 57436355,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not not ((37 % 7) >= (12 + 0))) and ((not ((0 - 18) > (19 - ... |
logic-v2 | 分析以下逻辑表达式：
A. ((法国的首都是莫斯科。) or (((3 ** 3) < (0 - -14)) or (2050年是闰年。))) or (金在常温下是固体。) or (((5是质数。) or (现代奥运会首届举办发生在1906年。)) and ((2 + 5) == (-11 * -8)))
B. not not (not not (not not (人体有206块骨头。)))
C. not not ((9 * -12) < (2 * 4))
D. not (not (not not ((4 ** 3) == (-17 - -17))))
E. (not not ((9 + -6) != (3 + 19))) and... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 44342460,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. ((法国的首都是莫斯科。) or (((3 ** 3) < (0 - -14)) or (2050年是闰年。))) or (... |
logic-v2 | 考虑以下布尔表达式：
A. (not (((1907年是闰年。) or ((13 + -10) < (-10 * 9) < (0 * -12))) and (((2 * 4 + -3 * 9) <= (18 - -13) <= (-11 - -6)) and ((1 * 8 + 2 * -1) == (5 * 6 + 7 * -3))))) and (not ((not not ((3 * 0 + 1 * -10) == (4 * 0))) and (not not ((4 * 4) <= (4 ** 1)))))
B. not ((((木星是距离太阳第1近的行星。) and (1994年是闰年。)) and (not not (... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 96731925,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. (not (((1907年是闰年。) or ((13 + -10) < (-10 * 9) < (0 * -12))) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not (((2020年奥运会在首尔举办。) or (新西兰的货币是新西兰元。)) and (not not ((3 % 10) <= (21 % 10) <= (2 ** 1))))) or ((鲨鱼是哺乳动物。) or ((南非的货币是美元。) or ((9 % 3) > (13 - -7)))) or ((((钙的化学符号是Ca。) and ((17 + 12) < (-16 - -8))) or ((八月有30天。) or (声音无法在真空中传播。))) or ((not not (肯尼亚位于欧洲。)) or (((2 ** 1) <= (2 ** 2)) and ((17 - -... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 30012030,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not (((2020年奥运会在首尔举办。) or (新西兰的货币是新西兰元。)) and (not not ((3 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (((not ((The currency of Turkey is the Koruna.) or ((4 ** 3) == (4 ** 2)))) and (((6 - -15) == (-8 * 20)) and ((-1 * -2 + -5 * 2) < (-5 * -3 * -9 * 9))) and (not not (((44 % 4) != (-17 * -2)) or ((13 - 10) < (2 ** 2))))) or ((The chemical symbol for Copper is A... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 99046786,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (((not ((The currenc... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not not (((not not (地球是距离太阳第8近的行星。)) and (西班牙位于欧洲。)) or ((185是偶数。) or (水在海平面上的沸点是100摄氏度。)))) or (((人类有三个肺。) or ((18 - -8) >= (10 - -12))) and ((90是质数。) and (not (not (瓢虫是爬行动物。))))))
B. not (((not not (180是偶数。)) and (not not (铅的化学符号是Sn。))) or (not (((39 % 3) <= (2 * 10 * -6 * -9) <= (3 ** 2)) ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 13104584,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not not (((not not (地球是距离太阳第8近的行星。)) and (西班牙位于欧洲。)) o... |
logic-v2 | Consider the following logical expressions:
A. (not not (((48 % 1) >= (4 * 1 * -2 * -1)) or ((4 * -9 + 6 * -10) < (-5 - 7) < (-1 - 18)))) and (((The capital of Argentina is Buenos Aires.) or (The 2012 Olympics were held in London.)) and ((not not (not (The chemical symbol for Zinc is Zn.))) and ((((11 * 6) > (-4 - -6)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 2844297,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not not (((48 % 1) >= (4 * 1 * -2... |
logic-v2 | 检验这些表达式：
A. not ((((((新西兰位于南美洲。) and (古巴的首都是巴黎。)) or (not not (铁在常温下是固体。))) or (((5 * 0 + -9 * 1) <= (3 * 4 - -5 * -4) <= (-2 - 15)) or (((3 + -1) >= (4 ** 1)) or (天王星是距离太阳第7近的行星。)))) and ((5 ** 1) < (5 ** 2) < (-4 * 7 * -9 * -8)) and ((匈牙利的首都是墨西哥城。) and (not (((-11 * -18) != (15 + 7)) or (十一月有28天。))))) or ((not (((2 ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 14292982,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not ((((((新西兰位于南美洲。) and (古巴的首都是巴黎。)) or (not not (铁在常温下是固体。))) ... |
logic-v2 | 研究以下逻辑语句：
A. not ((((((3 ** 2) == (-10 + 5)) or ((5 ** 2) >= (-15 - -9))) or ((-3 + 7) >= (16 + 13))) or (((2024年奥运会在柏林举办。) or (十一月有30天。)) or (not ((9 + -5) >= (7 * -19))))) or (((((9 * -3 + -8 * 7) >= (-3 + -19)) and (天王星是距离太阳第1近的行星。)) or (十月有29天。)) or (not (2004年奥运会在雅典举办。)) or (((13 + 11) >= (-4 * -13)) and (((-16 -... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 46543342,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. not ((((((3 ** 2) == (-10 + 5)) or ((5 ** 2) >= (-15 - -9))... |
logic-v2 | 分析以下逻辑表达式：
A. ((((酒精在常温下是液体。) and (九月有28天。)) or (((29 % 2) <= (18 * 7)) or (木星是距离太阳第5近的行星。))) and ((not not ((41 % 6) > (-11 + 19))) or (((1 ** 2) > (2 ** 2)) or (第二次世界大战开始发生在1937年。)))) and ((法国大革命开始发生在1794年。) and ((not not ((-19 * -2) < (-15 * -12))) or (not ((-19 + 1) >= (2 * -16)))))
B. (((-10 * 5 * 9 * 5) < (12 % ... | {
"game_data": {
"answer": "B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 24870698,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. ((((酒精在常温下是液体。) and (九月有28天。)) or (((29 % 2) <= (18 * 7)) or (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not ((捷克的首都是雅典。) or ((2 + -14) != (-9 * -2 + 6 * -7)))) or (not not ((2 * -19) <= (6 * 15) <= (7 % 10))) or (not (not (一月有31天。)))) and (((-17 * 7) >= (18 + 12)) or (现代奥运会首届举办发生在1896年。) or ((not ((9 * 3 + 6 * 0) >= (0 * 7 * -9 * -8))) and (锌的化学符号是Zn。)))) and ((not not (((蝙蝠是瞎的。) and ((6 % 4) < (-... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 83621421,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not ((捷克的首都是雅典。) or ((2 + -14) != (-9 * -2 + 6 * -7))))... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((-11 - -4) == (4 * -10 - -1 * -2)) and (not not (((4 * 7) <= (40 % 4)) or ((-4 - -18) < (-2 * -19) < (9 * 3 * -3 * 1))))) and (not not (((以色列的货币是谢克尔。) or ((-14 - 7) > (-20 * 4))) and ((氯的化学符号是Fe。) or (哥伦布到达美洲发生在1492年。))))) or ((not not (((18 + -17) > (3 + -1)) or (not not ((17 + -2) == (-5 ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 3384605,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((((-11 - -4) == (4 * -10 - -1 * -2)) and (not not (... |
logic-v2 | 检验这些表达式：
A. (not not (((not (1904年奥运会在莫斯科举办。)) and ((沙特阿拉伯位于大洋洲。) and (声音无法在真空中传播。))) or ((8 * -1 + -6 * 1) == (1 ** 1)))) or ((not (((-8 * 4 + -1 * -2) < (7 * -2 * -8 * -5) < (3 ** 3)) and (40是奇数。))) and (海王星是距离太阳第8近的行星。)) or ((not not ((5 ** 3) <= (-19 + 9))) or ((13 * -8) == (-20 + 19)) or ((not ((声音在真空中传播更快。) and ... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 77717072,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (not not (((not (1904年奥运会在莫斯科举办。)) and ((沙特阿拉伯位于大洋洲。) and (声音无... |
logic-v2 | 评估以下每个表达式：
A. not not (not ((((印度尼西亚的货币是印尼盾。) or (not ((2 ** 1) == (27 % 3)))) and ((40 % 1) < (-11 - 16)) and (((钛的化学符号是Ti。) or ((-2 + 8) == (10 * -6 * -9 * 3))) and (((10 - 7) >= (11 * -9)) and ((5 - 10) <= (5 * 7))))) or (not not ((金在常温下是固体。) and (((-16 + -2) >= (9 - 17)) or (法国大革命开始发生在1794年。))))))
B. not not (((no... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 47820617,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not (not ((((印度尼西亚的货币是印尼盾。) or (not ((2 ** 1) == (27 % 3))))... |
logic-v2 | 检验这些表达式：
A. (not (not not (not (not ((菲律宾的首都是布鲁塞尔。) and (海王星是距离太阳第6近的行星。)))))) and (not not ((not not ((5 ** 3) <= (7 + 8))) and ((((3 + -14) < (10 + -16) < (13 - 11)) and (钾的化学符号是K。)) or (冰在常温下是固体。) or ((地球是距离太阳第8近的行星。) and (火星是距离太阳第6近的行星。)))))
B. (not (not (not not (((1960年奥运会在墨尔本举办。) and (植物通过光合作用产生氧气。)) and (((-14... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 30309142,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not (not not (not (not ((菲律宾的首都是布鲁塞尔。) and (海王星是距离太阳第6近的行星。)))))) a... |
logic-v2 | 评估以下每个表达式：
A. not not ((((空气在常温下是气体。) or (((-1 - -11) == (11 + 12)) and (水在常温下是液体。)) or (1938年是闰年。)) or (巴西位于非洲。) or (not ((not (袋鼠有2条腿。)) and ((8 - 17) < (-16 * -15))))) and (((not ((5 + 12) <= (3 - 15))) and (二氧化碳在常温下是气体。)) and ((6 * -3 + -5 * 5) < (14 - 14))) and ((not ((not not ((-7 * 5 - -10 * 5) >= (28 % 2))) or... | {
"game_data": {
"answer": "A,B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 70558500,
"true_count": 6
},
"question": "评估以下每个表达式：\n\nA. not not ((((空气在常温下是气体。) or (((-1 - -11) == (11 + 12)) an... |
logic-v2 | Below are several boolean expressions:
A. ((not ((7 * -2 * -3 * 0) > (6 % 1))) or (((The capital of Portugal is Lisbon.) or ((-10 * -4 + 10 * -8) != (-3 + -11))) and ((The first Olympic Games of modern era occurred in 1896.) and ((-2 * 8) < (40 % 8) < (4 * -3 * 5 * -9)))) or (not (not not (not ((32 % 2) <= (12 * -17))... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 65667282,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. ((not ((7 * -2 * -3 * 0) > (6 % ... |
logic-v2 | 检验这些表达式：
A. (not ((not (not not (法国大革命开始发生在1789年。))) and ((73大于67。) and (土星是距离太阳第2近的行星。)) and (((0 + -17) != (-4 * 4 - 8 * 10)) or ((泰国的首都是渥太华。) or ((11 % 10) > (-3 * -4)))))) and (not not ((((41 % 7) > (2 ** 2)) or (not not ((1 * 4 * 6 * 10) > (-13 + 10)))) and (铝的化学符号是Al。) and (((1909年是闰年。) or ((2 ** 3) >= (-9 * 2 *... | {
"game_data": {
"answer": "F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 63747273,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (not ((not (not not (法国大革命开始发生在1789年。))) and ((73大于67。) and (土星是距离... |
logic-v2 | 检验这些表达式：
A. ((not not (((-7 * -18) <= (14 + -17)) or ((第一次世界大战开始发生在1914年。) or ((-8 * 3 + -6 * 2) == (19 - 10))))) and (((-5 + 11) <= (11 + -10)) or (not (not ((-3 + -7) > (10 * -1 + 10 * -10)))))) and (((((-4 * 0 - -5 * -5) <= (2 - -2)) and (((18 % 9) != (2 - 14)) and (龙虾有10条腿。))) and ((((6 * 7 + -7 * 2) == (17 % 8)) ... | {
"game_data": {
"answer": "D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 54547299,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. ((not not (((-7 * -18) <= (14 + -17)) or ((第一次世界大战开始发生在1914年。)... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((((not ((1976年是闰年。) and (1896年奥运会在雅典举办。))) or (not not (哥伦比亚的货币是比索。)) or ((7 * -5 * -6 * 3) == (-1 - -14))) and ((((5 ** 2) > (45 % 2)) or (not ((-14 - -10) == (15 * 4)))) or ((-20 - -13) == (9 * -6 * -4 * 0)))) or ((((((-18 + 16) >= (11 % 10)) and ((-14 + -15) < (24 % 4))) or (地球是距离太阳第3近的行星。))... | {
"game_data": {
"answer": "A,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 13713487,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. not not ((((not ((1976年是闰年。) and (1896年奥运会在雅典举办。))) or ... |
logic-v2 | 研究以下逻辑语句：
A. (((not not (钾的化学符号是K。)) and (not not (猫有10条腿。))) or (((((-7 - 17) <= (1 * -10 * 2 * -5)) and ((3 ** 3) <= (33 % 6) <= (-14 * -16))) or (not (386是完全平方数。)) or (not (not (越南的货币是越南盾。)))) or ((英国位于欧洲。) or (埃及位于大洋洲。)))) and (not ((not (((汞的化学符号是Ti。) or ((-8 * -9 * 4 * 8) >= (19 * -12))) or (2016年奥运会在莫斯科举办。))) a... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 15645091,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (((not not (钾的化学符号是K。)) and (not not (猫有10条腿。))) or (((((-7 -... |
logic-v2 | Review these logical expressions:
A. not ((((Steam is a gas at room temperature.) and (A fish has 0 legs.)) or ((-20 - 3) <= (8 * -10))) and ((not not (not not ((6 * 6 + -5 * 2) <= (-6 * -5 - -5 * 8)))) or ((8 * -10 + -8 * 1) > (2 - -11))))
B. not (not ((((Uranus is the 7th planet from the Sun.) or ((6 - 4) > (-10 * 6... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 4750011,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((((Steam is a gas at room temperatu... |
logic-v2 | 评估以下每个表达式：
A. 氧气对人类生存是必需的。
B. ((not not (not not ((15 * -13) < (7 * 3 * 3 * -1) < (-18 + -11)))) and (((5 * -18) >= (-12 * 3)) and (((铀的化学符号是Hg。) or ((-6 * 10 + 6 * 0) <= (16 % 3))) and (93是完全平方数。)))) or (not not ((袋鼠是昆虫。) and ((三月有31天。) or ((12 + 10) == (-2 * -4 * 10 * 4))) and ((not not (伦敦大火发生在1666年。)) and (not (19... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 14501352,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. 氧气对人类生存是必需的。\nB. ((not not (not not ((15 * -13) < (7 * 3 * 3 * -1)... |
logic-v2 | 评估以下每个表达式：
A. not (not ((not ((猫有6条腿。) or (越南的货币是瑞士法郎。))) and (not (((摩洛哥位于非洲。) or (蜻蜓是爬行动物。)) and (not (油在常温下是液体。))))))
B. not not ((not ((not (not (俄罗斯位于欧洲。))) or ((7 * -9) != (4 % 5)) or ((1980年奥运会在莫斯科举办。) and (波兰的货币是兹罗提。)))) and ((not not (((墨西哥的首都是马德里。) and ((13 - -16) >= (0 - 1))) or ((-15 - 18) <= (5 - 11) <= (... | {
"game_data": {
"answer": "A,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 34421274,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not (not ((not ((猫有6条腿。) or (越南的货币是瑞士法郎。))) and (not (((摩洛哥位... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (not not (((-14 + -2) <= (20 + 20)) or ((41 % 4) > (9 * 11))))
B. (not (428是斐波那契数。)) and (泰坦尼克号沉没发生在1912年。)
C. (not not (((3 * 17) > (-4 - -18)) and ((2 * -5) != (2 ** 1)))) and ((not not (火星是距离太阳第4近的行星。)) or (印度尼西亚的首都是斯德哥尔摩。))
D. (((希腊的首都是圣地亚哥。) or ((-18 - -17) <= (7 + -6))) and (not not ((-4 ... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 31681060,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not not (((-14 + -2) <= (20 + 20)) or ((41 % 4)... |
logic-v2 | 评估以下每个表达式：
A. not ((硅的化学符号是Si。) or (((-10 - 14) < (-17 - 18)) or (法国大革命开始发生在1789年。)))
B. ((-7 * 10) <= (-20 + -7)) or ((鸡有2条腿。) and (1960年奥运会在罗马举办。)) or (1920年奥运会在安特卫普举办。)
C. (((5 ** 2) > (18 % 4)) and (((7 + -11) > (-1 + 11)) or (秘鲁位于南美洲。))) and ((-13 + 3) <= (7 + 14))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 46491190,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((硅的化学符号是Si。) or (((-10 - 14) < (-17 - 18)) or (法国大革命开始发生在17... |
logic-v2 | 评估以下每个表达式：
A. not not ((2016年是闰年。) or ((9 + -12) <= (15 * -18)))
B. ((-19 * 15) > (-9 * -12)) and ((瑞士的货币是谢克尔。) or (2024年奥运会在蒙特利尔举办。)) and (((-1 + 18) < (16 - 14) < (-10 * -4 * -1 * -4)) or (意大利位于欧洲。))
C. (((1936年奥运会在柏林举办。) and ((50 % 2) > (3 ** 3))) and (龙虾有10条腿。)) or (not (((2 ** 2) <= (5 + -10)) or (丹麦的首都是哥本哈根。)))
... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 34978451,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not ((2016年是闰年。) or ((9 + -12) <= (15 * -18)))\nB. ((-19 * 15)... |
logic-v2 | 评估以下每个表达式：
A. ((((-2 * 12) < (6 * -8)) or ((8 * 4) < (7 * 1 - 8 * 1))) and (not not ((not not ((9 * -6) >= (20 + -14))) or ((中国的货币是埃及镑。) and (30小于等于87。))))) and (not not (((南非的货币是比索。) and (not ((-6 + 8) == (-15 + -13)))) or ((9 * 6 * -7 * -10) >= (-10 * -2))))
B. (((not ((192是偶数。) or (土耳其的货币是里拉。))) or ((9 - 13) <= (-5... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 17757917,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((((-2 * 12) < (6 * -8)) or ((8 * 4) < (7 * 1 - 8 * 1))) and (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((not ((84是质数。) or (not ((-6 - 2) <= (-20 * 18) <= (10 * 9 * 4 * 2))))) and (((氧的化学符号是Pb。) and (((11 - 20) >= (12 - 15)) and (228是斐波那契数。))) or (not (not not (南非的货币是兰特。)))))
B. (((not (not (人类有2条腿。))) or (((-10 + -11) <= (-1 * 5 + 0 * -5)) or ((-2 + -1) > (-2 + 20))) or (not (氮气在常温下是气体。))) ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
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"language": "cn",
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"seed": 26479687,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not ((not ((84是质数。) or (not ((-6 - 2) <= (-20 * 18) <... |
logic-v2 | Below are several boolean expressions:
A. not not ((Lightning never strikes the same place twice.) and (((-16 * -20) != (-7 * 6 * -1 * 10)) and ((Nitrogen is a gas at room temperature.) and (The Moon produces its own light.))))
B. not (not not ((3 is a prime number.) and (not (The capital of Brazil is Rabat.))))
C. ((... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 44380524,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not ((Lightning never strike... |
logic-v2 | Review these logical expressions:
A. (not ((1953 is a leap year.) or (((-20 + 19) == (10 * -5 * -8 * -9)) and ((13 * 14) < (3 * -1 * 0 * -1) < (-3 * -2 * -10 * 10))) or (not not (Bats are blind.)))) and (not ((not not (The 1920 Olympics were held in Antwerp.)) and (There are 31 days in August.)))
B. (((((4 * 9) == (-1... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 23145888,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not ((1953 is a leap year.) or (((-20 + ... |
logic-v2 | 评估以下每个表达式：
A. (现代奥运会首届举办发生在1896年。) or (((-1 + 17) == (3 ** 2)) and (1984年奥运会在洛杉矶举办。)) or (((1896年奥运会在首尔举办。) and (现代奥运会首届举办发生在1895年。)) and ((31 % 10) >= (-1 - 17)))
B. not not (越南位于北美洲。)
C. (not not ((冰在常温下是固体。) and ((4 * -10 + 4 * -5) < (3 ** 3)))) and (锰的化学符号是Mn。)
D. ((5 ** 1) == (2 % 7)) and (锡的化学符号是Cr。)
E. (((-3 * ... | {
"game_data": {
"answer": "A,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 51443331,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (现代奥运会首届举办发生在1896年。) or (((-1 + 17) == (3 ** 2)) and (1984年奥... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not (((冰在常温下是固体。) or ((17 * 2) != (1 * 7 * 5 * 3))) and (银在常温下是气体。) and (((4 * 7) <= (-9 - -12)) or ((葡萄牙的首都是里斯本。) and (尼日利亚位于北美洲。))))) or (not (银在常温下是气体。)) or (not not (not not ((((5 + -9) >= (2 ** 2)) or (30是奇数。)) or (中国的货币是人民币。)))))
B. ((not (not not (2004年是闰年。))) and (((5 ** 2) != (39 % 7)) and... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 35506324,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not ((not (((冰在常温下是固体。) or ((17 * 2) != (1 * 7 * 5 * 3))) and (银在常... |
logic-v2 | Review these logical expressions:
A. (not (((Air is a gas at room temperature.) or (The currency of India is the Peso.)) or ((20 - 10) > (26 % 3)))) and (Lightning never strikes the same place twice.) and (((not (The square root of 9 is 3.)) or (not not ((10 * 8) <= (4 * 4 * 1 * 10) <= (7 * 8)))) and (not not (Neptune... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 87832563,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (not (((Air is a gas at room temperature.) ... |
logic-v2 | 研究以下逻辑语句：
A. not ((not not (泰国位于亚洲。)) or ((5 - 9) < (18 + -8) < (2 * -5 * 7 * -1)) or ((((15 - -1) <= (16 * 15) <= (1 + -19)) or ((20 - 2) != (-19 * 12))) or ((-18 * -10) >= (15 * -20))))
B. not not ((第一次世界大战结束发生在1917年。) or (not ((鲨鱼是哺乳动物。) and ((8 * -2 - 10 * 3) <= (-7 * -8 - 0 * 5) <= (1 + 8)))))
C. not not (not ((-... | {
"game_data": {
"answer": "B,C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 47504267,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. not ((not not (泰国位于亚洲。)) or ((5 - 9) < (18 + -8) < (2 * -5 ... |
logic-v2 | 考虑以下布尔表达式：
A. ((not (not (not (((6 + -8) < (8 * -20)) and (海王星是距离太阳第8近的行星。))))) or (not not ((((5 ** 2) != (4 % 5)) and (((1 % 10) == (2 * -7 + 8 * 1)) and ((22 % 7) < (10 - -17)))) and (((16 - 13) >= (9 * 8 * -8 * 3)) and (not not (2004年奥运会在柏林举办。)))))) or ((not not (((3 * 5 - -5 * -10) >= (1 ** 1)) and (声音无法在真空中传播。))... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 58606884,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. ((not (not (not (((6 + -8) < (8 * -20)) and (海王星是距离太阳第8近的行... |
logic-v2 | 下面是几个布尔表达式：
A. (((not (猫有4条腿。)) and (墨西哥位于大洋洲。)) or ((2 - -2) == (4 + 19))) and (not not (((-6 - 5) <= (-14 + -3)) and ((龙虾有4条腿。) or (497是斐波那契数。))))
B. ((锰的化学符号是Mn。) or (((4 - 8) >= (1 ** 1)) and ((法国的首都是巴黎。) and (1956年奥运会在伦敦举办。)))) or ((银的化学符号是H。) or (((-12 + -13) > (10 * 10)) and ((-3 * 1) < (-10 * -9 * -9 * -3))) o... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 20566237,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (((not (猫有4条腿。)) and (墨西哥位于大洋洲。)) or ((2 - -2) == (4 + 19))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((((-3 * 7) == (-13 + 1)) or ((10 % 4) <= (30 % 3))) or ((-6 * 7 + -2 * 8) > (-9 * 10 - 8 * -7)))
B. ((5 ** 2) < (16 * -2) < (3 ** 3)) and (((6 * -10 - 10 * -9) == (2 * 3 + -9 * 1)) or (not not ((17 * 2) >= (-6 - -18))))
C. not not ((2026年是闰年。) or (((-16 - -18) == (-2 * 6 + 7 * -1)) or (1904年奥运... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 44650227,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((((-3 * 7) == (-13 + 1)) or ((10 % 4) <= (30 % 3))) o... |
logic-v2 | 检验这些表达式：
A. (((((-2 * -1 + -2 * 8) > (19 + 15)) and (菲律宾的首都是圣地亚哥。)) and ((4 * 3 - -8 * 1) < (4 ** 2))) and ((天王星是距离太阳第7近的行星。) and (((5 - -16) < (10 * -7 + -3 * -10)) or (氮气在常温下是液体。)))) or ((94能被2整除。) or (not not (西班牙的首都是马德里。)) or ((24 % 7) <= (4 ** 3)))
B. (((1 - -11) == (-19 + -4)) or (not not ((土耳其的首都是安卡拉。) or ((8 *... | {
"game_data": {
"answer": "A,B,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 21461555,
"true_count": 6
},
"question": "检验这些表达式：\n\nA. (((((-2 * -1 + -2 * 8) > (19 + 15)) and (菲律宾的首都是圣地亚哥。)) an... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (-17 * -17) < (-8 - -1) < (7 % 2)
B. (10 * 13) != (10 * -1 * 8 * 6)
C. (4 * -5 * -10 * 9) >= (4 % 10)
D. (((17 * -2) != (-14 + 9)) and (A swan is a fish.)) and ((-2 - -5) >= (14 * 8))
Which options evaluate to True? List all true option ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 54949738,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 评估以下每个表达式：
A. not not ((not ((not not (not (三月有31天。))) or (not (((-14 + -20) <= (-7 + 12) <= (3 * -19)) and ((-17 * -20) < (-4 * -5 + 0 * -7)))))) or (not (油在常温下是液体。)) or ((not (((俄罗斯位于欧洲。) or ((-5 - -4) != (-2 + 13))) and (not (1912年奥运会在斯德哥尔摩举办。)))) or ((现代奥运会首届举办发生在1894年。) or (伦敦大火发生在1665年。))))
B. not not (((not not... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 25962900,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not not ((not ((not not (not (三月有31天。))) or (not (((-14 + -20)... |
logic-v2 | Study the following logical statements:
A. (not (((not (((7 + -7) <= (20 - 0)) or (Antarctica is the coldest continent.))) or (not not (((8 - 0) < (4 ** 3) < (10 % 9)) or (The chemical symbol for Nickel is Pt.)))) and (((8 * 0 * -7 * 0) < (2 ** 2) < (-4 - -15)) and ((2 ** 3) <= (29 % 3))))) or (not not (not not ((not ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 28245960,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (not (((not (((7 + -7) <= (20 - 0... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((not (not (((A spider has 8 legs.) or (Silver is a liquid at room temperature.)) and ((The currency of Denmark is the Krone.) or ((-8 * 2 * 4 * 2) <= (-19 - 8)))))) and (not not (((18 % 9) == (-2 * -1)) and (The square root of 49... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 86900927,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Review these logical expressions:
A. not not ((The chemical symbol for Zinc is Zn.) and ((-12 - 3) >= (27 % 6)))
B. (Chile is in North America.) or ((The capital of Mexico is Mexico City.) or (Indonesia is in Asia.)) or ((not not ((-7 * 7) == (1 * -17))) or (not not (The 1956 Olympics were held in Melbourne.)))
C. not... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 13305046,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not ((The chemical symbol for Zinc is Z... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((天王星是距离太阳第7近的行星。) or (not ((澳大利亚位于亚洲。) or ((5 + 8) == (-17 + 19))))) or (((not ((0 * 8 + -1 * -9) > (-18 - -11))) and (((-6 * -3 * 7 * -5) <= (19 * -3)) and (十一月有29天。))) and ((十月有28天。) or ((2055年是闰年。) and (209是完全平方数。)))))
B. (not (((not (蝙蝠是瞎的。)) or (((-14 - -17) <= (15 + 12)) or ((45 % 3) > (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 39342400,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not not (((天王星是距离太阳第7近的行星。) or (not ((澳大利亚位于亚洲。) or ((5 + 8) == (... |
logic-v2 | 分析以下逻辑表达式：
A. ((not (镍的化学符号是Ni。)) and (金星是距离太阳第2近的行星。) and (((((16 - -20) == (-5 - 20)) and (氮气在常温下是气体。)) or (((11 % 3) > (-2 * -7)) or ((37 % 9) > (5 ** 1)))) or (((1962年是闰年。) and ((-8 * -6 + -8 * -1) < (-9 - 15))) or ((加拿大的首都是渥太华。) and (哥伦布到达美洲发生在1492年。))))) and ((((not (水星是距离太阳第7近的行星。)) and ((现代奥运会首届举办发生在1897年。) or... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 59067374,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((not (镍的化学符号是Ni。)) and (金星是距离太阳第2近的行星。) and (((((16 - -20) == (... |
logic-v2 | 给定以下布尔表达式：
A. (not (((海王星是距离太阳第8近的行星。) and (not not ((鸭子有2条腿。) and (美国宣布独立发生在1776年。)))) or ((新加坡的货币是新加坡元。) and ((空气在常温下是气体。) or ((-19 - 20) >= (-3 + 12)))))) and ((not (not not (((摩洛哥位于北美洲。) or ((-14 - 20) > (-1 * 0 + 5 * 4))) or (铜的化学符号是Cu。)))) and (not not (not (1908年奥运会在巴黎举办。))))
B. ((not not (((((-6 - 3) != (1 - -... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 9151005,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not (((海王星是距离太阳第8近的行星。) and (not not ((鸭子有2条腿。) and (美国宣布独立发生在17... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (((2 * -5) < (-5 * -7 - -8 * 6)) and (1924年奥运会在墨尔本举办。))
B. (-9 * 9) > (-9 * -7 + 2 * 1)
C. 铀的化学符号是U。
哪些选项的值为真？请列出所有为真的选项标识，用逗号分隔，填入 \boxed{} 中。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 23367283,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (((2 * -5) < (-5 * -7 - -8 * 6)) and (1924年奥运会在墨尔... |
logic-v2 | 研究以下逻辑语句：
A. (天王星是距离太阳第5近的行星。) or (((1992年奥运会在伦敦举办。) and ((20 - -14) > (-4 * -9 - -2 * 8))) and (not (水在海平面上的沸点是100摄氏度。)))
B. 地球上一天是24小时。
C. (not (((4 ** 1) >= (-5 * -7 + -10 * 5)) or ((14 - 3) >= (-8 + 0)))) and ((第一次世界大战开始发生在1912年。) and (((14 + 15) < (4 ** 2)) or ((-10 + 0) < (5 ** 2) < (-7 * -14))))
哪些语句为真？在 \boxe... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 68727470,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (天王星是距离太阳第5近的行星。) or (((1992年奥运会在伦敦举办。) and ((20 - -14) > (-4 * -9 ... |
logic-v2 | Review these logical expressions:
A. (-18 + 19) < (5 * -1 - 4 * 5) < (-8 - 19)
B. ((-7 * 9) <= (16 * -20)) and (not ((-12 + 16) >= (13 + 14)))
C. not (((44 % 6) != (-8 * -3)) or (25 is less than or equal to 10.))
D. ((The 1972 Olympics were held in Munich.) and (Mars is the 8th planet from the Sun.)) or ((Plants produ... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 73726781,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (-18 + 19) < (5 * -1 - 4 * 5) < (-8 - 19)... |
logic-v2 | 检验这些表达式：
A. (((not (泰坦尼克号沉没发生在1922年。)) and (not not ((-8 * 3 + -7 * 3) <= (38 % 2) <= (4 ** 2)))) and ((289是斐波那契数。) and ((1的平方根是8。) or ((-7 - -8) == (-18 * -8))))) and (not (((天王星是距离太阳第7近的行星。) and (16的平方根是9。)) or (((-20 + 11) != (1 - -1)) or ((7 * 13) > (16 * 19)))))
B. (not ((((0 * 9 - -1 * 3) > (-8 + 6)) or (83小于等于3... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 64083851,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (((not (泰坦尼克号沉没发生在1922年。)) and (not not ((-8 * 3 + -7 * 3) <= (38 % ... |
logic-v2 | Analyze these boolean expressions:
A. ((The capital of Belgium is Bogota.) and (((39 % 8) < (-1 * -15) < (-5 * -12)) or ((42 % 1) != (-12 * 13))) and (((There are 31 days in December.) or (1936 is a leap year.)) and ((Christopher Columbus reached America occurred in 1492.) or (Argentina is in South America.)))) or (no... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 28089879,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. ((The capital of Belgium is Bogota.) and (... |
logic-v2 | 分析以下逻辑表达式：
A. not ((伦敦大火发生在1671年。) and ((not ((2 ** 2) == (-20 + -7))) or ((9 * 3 * 2 * -2) != (-6 + -13))))
B. not ((not not ((猪有4条腿。) and ((7 - -4) <= (8 + 5)))) and (not not ((-8 * 15) > (24 % 2))) and (法国位于北美洲。))
C. not not (not ((8 * 3 * -3 * 9) <= (16 + 14)))
D. (((not (水蒸气在常温下是液体。)) or ((秘鲁位于南美洲。) or (氮气在常温下是气体... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 78039253,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. not ((伦敦大火发生在1671年。) and ((not ((2 ** 2) == (-20 + -7))) o... |
logic-v2 | Below are several boolean expressions:
A. not (New Zealand is in North America.)
B. (not not ((-5 * -7 - 8 * 1) <= (12 + -5))) and (not not (The 2024 Olympics were held in London.))
C. ((((2 % 10) == (12 - -5)) or ((12 % 9) != (23 % 8))) or (Water is a solid at room temperature.)) and ((A dog has 0 legs.) or (Light tr... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 94443688,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not (New Zealand is in North Ame... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 短吻鳄是鸟类。
B. (not not (声音在真空中传播更快。)) or (((10 + 9) == (-16 + -14)) or (钻石在常温下是固体。))
C. not not (((10 * -7 - -6 * 8) > (16 * -4)) and (二氧化碳在常温下是固体。))
D. 匈牙利的首都是布鲁塞尔。
E. 203是斐波那契数。
F. (尼日利亚位于亚洲。) and (((2 + 13) != (5 + 14)) and (英国位于欧洲。))
G. ((8 + 13) <= (19 % 2)) and (not not (金在常温下是固体。))
H. 澳大利亚的货币是澳... | {
"game_data": {
"answer": "B,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 70059299,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 短吻鳄是鸟类。\nB. (not not (声音在真空中传播更快。)) or (((10 + 9) == (-16 ... |
logic-v2 | Given the following boolean expressions:
A. ((A duck has 8 legs.) or (Steam is a gas at room temperature.)) and (A kangaroo has 2 legs.)
B. Mexico is in Europe.
C. (190 is an even number.) or (not ((-12 + 7) <= (3 ** 3)))
D. not not ((Humans have five fingers on each hand.) and ((3 ** 3) != (9 * 5 * 1 * 0)))
E. (75 is... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 81982356,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. ((A duck has 8 legs.) or (Stea... |
logic-v2 | 研究以下逻辑语句：
A. ((硅的化学符号是P。) and ((中国长城是在一年内建成的。) or ((2 * 18) > (-20 - -9)))) or (((2 ** 2) > (-7 + -9)) or ((-3 * -4 + 0 * -9) == (-4 * -9 + -4 * 9)))
B. (not not ((-11 + -4) <= (14 * -9) <= (-10 * 8 + 10 * -8))) and ((土星是距离太阳第6近的行星。) and (678是斐波那契数。)) and (((-13 - -13) <= (29 % 7) <= (6 * -5 * 1 * 6)) and (((5 + -11) ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 39718539,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. ((硅的化学符号是P。) and ((中国长城是在一年内建成的。) or ((2 * 18) > (-20 - -9)))) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((not not ((-8 + -10) == (9 + -4))) or ((第一部iPhone发布发生在2002年。) and (第二次世界大战开始发生在1929年。))) and ((((2 * 4) < (12 + 8)) or (木头在常温下是固体。)) or ((13 + -2) <= (5 ** 2)))) or (not ((-14 - 0) == (-5 + 0)))) and (not not (not ((-9 * -6 - 5 * -7) == (-13 * 6)))) and (((((碳的化学符号是C。) or ((1 ** 2) != (-16 ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 22885542,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((((not not ((-8 + -10) == (9 + -4))) or ((第一部i... |
logic-v2 | Consider the following logical expressions:
A. not not (not ((-8 * -19) > (1 ** 2)))
B. not ((4 ** 3) >= (-7 + -15))
C. ((not not ((4 ** 3) != (8 * -18))) or ((5 - -19) <= (1 ** 1))) or (not not (Bats are blind.)) or (not not (not (The chemical symbol for Mercury is Ca.)))
Determine which expressions are true. List a... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 64087943,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not (not ((-8 * -19) > (1 ** ... |
logic-v2 | Below are several boolean expressions:
A. (((not (Oxygen is a gas at room temperature.)) and ((The currency of Vietnam is the Dong.) or ((-1 * -3) > (9 % 5)))) or (not (The currency of United States is the Dollar.)) or ((((-11 + 1) >= (-5 + 15)) or ((-14 + -5) == (6 * 6 - -4 * 4))) and (((19 * 7) != (7 - -16)) and (A ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 49796580,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (((not (Oxygen is a gas at room temp... |
logic-v2 | Review these logical expressions:
A. ((-14 - 8) != (0 * 1)) or (((19 * 3) != (1 ** 3)) and (((-3 + -17) >= (17 - -7)) or ((41 % 6) > (-13 * -18))))
B. (((-6 + -12) < (45 % 8) < (-17 - -6)) or ((The chemical symbol for Silver is Sn.) and (A fly is an insect.))) and ((-18 + -15) > (0 * -10 * 2 * 10))
C. (not ((The curre... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 28295428,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. ((-14 - 8) != (0 * 1)) or (((19 * 3) != (... |
logic-v2 | 检验这些表达式：
A. (((硫的化学符号是S。) and (氦气在常温下是气体。)) or (((氯的化学符号是Cl。) and (蝙蝠是爬行动物。)) or (铜在常温下是气体。)) or (not ((5 * 9 + -5 * -6) != (-20 + -17)))) and ((((-9 * 0) <= (-16 - -17)) or (not ((12 - 3) == (6 * 0)))) and ((2096年是闰年。) and (1908年奥运会在柏林举办。)))
B. (((((新西兰位于大洋洲。) or (瑞士的货币是瑞士法郎。)) and (((-5 - 4) <= (15 * -19) <= (4 * -5... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 91705831,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((硫的化学符号是S。) and (氦气在常温下是气体。)) or (((氯的化学符号是Cl。) and (蝙蝠是爬行动物。)... |
logic-v2 | 研究以下逻辑语句：
A. ((墨西哥位于北美洲。) and ((52是质数。) or ((0 - 0) <= (6 + -18)))) or (((10 + 20) >= (12 - -18)) or (((14 - 12) > (3 * 7 * -8 * -8)) and (120是完全平方数。)))
B. not not (((10 * -13) < (2 + -9)) or (not ((9 - 20) != (5 + 11))))
C. (not (((-11 - -5) > (-8 + 5)) or ((38 % 6) <= (15 - -12)))) and (((氯的化学符号是U。) and (镍的化学符号是Ti。)... | {
"game_data": {
"answer": "A,B,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 67966978,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. ((墨西哥位于北美洲。) and ((52是质数。) or ((0 - 0) <= (6 + -18)))) or (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((7 + 2) < (-6 * -6 * -6 * -1) < (-7 * -8 - -3 * 5)) and ((南非的货币是雷亚尔。) and (南极洲是最冷的大陆。))) and ((1976年奥运会在蒙特利尔举办。) and (((-1 * 2 * -2 * 10) > (17 + 18)) and (1896年奥运会在安特卫普举办。)))) and (((not ((-12 - 11) < (3 % 5))) or ((2 ** 2) <= (11 + -7))) or (太平洋是最大的海洋。))
B. ((金鱼是昆虫。) or (((1957年是闰年。) or (... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 48022281,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((((7 + 2) < (-6 * -6 * -6 * -1) < (-7 * -8 - -3 * 5)) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((1 * -7 - -8 * -2) == (18 + 14)) or (The chemical symbol for Aluminum is Fe.) or ((((5 ** 1) > (23 % 4)) or (The chemical symbol for Silicon is Co.)) or ((12 % 4) >= (2 + 16)))) and (The capital of Philippines is Riyadh.) and (not not (... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 92784261,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 评估以下每个表达式：
A. 法国大革命开始发生在1789年。
B. not not ((加拿大的货币是加元。) or (1920年奥运会在安特卫普举办。))
C. ((阿根廷位于南美洲。) or ((8 * 19) <= (8 * 4 * 0 * -4))) and (一月有28天。)
D. (((6 - 11) < (7 * 8 - -4 * -6)) and (钻石在常温下是固体。)) and (not not ((4 * -10 + 9 * 6) > (-11 * -11)))
E. ((南极洲是最冷的大陆。) or ((36 % 6) == (42 % 10))) and ((7 + 3) > (13 + -15))
F.... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 57360223,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. 法国大革命开始发生在1789年。\nB. not not ((加拿大的货币是加元。) or (1920年奥运会在安特卫普举办... |
logic-v2 | 给定以下布尔表达式：
A. (((((36的平方根是6。) or (光速比声速快。)) and (not not (莱特兄弟首次飞行发生在1901年。))) or ((人体有150块骨头。) and ((-5 - 3) == (2 - -16))) or (not ((第一部iPhone发布发生在2007年。) or ((3 ** 1) != (37 % 3))))) and (not (1930年是闰年。)) and ((not not ((2016年奥运会在蒙特利尔举办。) or (金在常温下是固体。))) or (not not (水星是距离太阳第1近的行星。)))) or (not (not not (not (((-9 ... | {
"game_data": {
"answer": "C,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 58295118,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. (((((36的平方根是6。) or (光速比声速快。)) and (not not (莱特兄弟首次飞行发生在1901年... |
logic-v2 | Below are several boolean expressions:
A. not (((4 * -11) < (2 - -17) < (9 + -17)) or (((-1 + -17) >= (-5 * 4)) or (29 is a prime number.)))
B. not not (not not (Light travels faster than sound.))
C. (((The 1948 Olympics were held in Los Angeles.) or (Ice is a gas at room temperature.)) or (not ((14 - -6) <= (-13 * -6... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 369272,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not (((4 * -11) < (2 - -17) < (9 + -17))... |
logic-v2 | Given the following boolean expressions:
A. (not not (not (((0 * 6 + -2 * 10) < (4 ** 2) < (2 * 1 * 2 * 6)) and ((-16 - 11) <= (4 - 17))))) and (((((Silver is a solid at room temperature.) and (16 is a prime number.)) or (792 is a Fibonacci number.)) or (Saturn is the 6th planet from the Sun.)) or (not not (((19 * 17)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 77242997,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (not not (not (((0 * 6 + -2 * 10) < ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not not (not not (鸡有0条腿。))) and ((not not (not not (((7 * 4) < (7 + 19)) and (日本的首都是里斯本。)))) or ((not not (((-3 * -7 - -10 * -10) > (-14 + 13)) and ((3 ** 2) >= (-4 + -8)))) or (日本的首都是东京。) or ((((19 - 19) > (12 * -11)) or (九月有30天。)) and ((-8 + -16) <= (-9 - 11))))))
B. not not (((((not (菲律宾的货... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 29950563,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not not (not not (鸡有0条腿。))) and ((not not (not not... |
logic-v2 | 评估以下每个表达式：
A. (-6 * 2 * 3 * -4) >= (2 + 11)
B. ((哥伦比亚位于大洋洲。) or ((-3 * -8 - 10 * 8) <= (-5 * 13))) and (油在常温下是固体。)
C. not not ((墨西哥位于北美洲。) or ((49 % 4) > (-17 + 7)))
D. not ((鳟鱼是鱼类。) or (鳄鱼是爬行动物。))
E. (0 - -10) > (5 ** 2)
F. 天王星是距离太阳第7近的行星。
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 42506973,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (-6 * 2 * 3 * -4) >= (2 + 11)\nB. ((哥伦比亚位于大洋洲。) or ((-3 * -8 -... |
logic-v2 | 给定以下布尔表达式：
A. ((not (not not ((((-3 - -20) > (2 * 15)) and ((11 + -2) > (9 * -10))) and (埃及的货币是里拉。)))) or (not not (((((-17 - -2) <= (19 * -7) <= (-2 + 0)) or ((-13 - 9) <= (2 ** 3))) or (((-13 - -8) < (8 - 6) < (20 % 7)) or (木星是距离太阳第7近的行星。))) and (油在常温下是液体。) and (磷的化学符号是P。)))) and (not (not not (((not not (1904年奥运会在莫... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 61253998,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((not (not not ((((-3 - -20) > (2 * 15)) and ((11 + -2) > (9 * -... |
logic-v2 | 下面是几个布尔表达式：
A. not (not not (not ((((5 * 7 + 9 * -6) != (-2 - 2)) or (((-11 - 18) > (13 + -11)) and ((13 + 6) < (13 + -6)))) and (not not ((4 + -15) > (8 * 1 + -4 * 6))))))
B. not not (((((((3 - -15) < (15 % 6) < (-12 + -6)) and (709是斐波那契数。)) and (not ((0 * 5) == (2 ** 2)))) or (((92大于48。) or (1992年奥运会在巴塞罗那举办。)) or ((... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 65809374,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (not not (not ((((5 * 7 + 9 * -6) != (-2 - 2)) or (((-11 - ... |
logic-v2 | 给定以下布尔表达式：
A. ((not (((not not ((-1 - 2) < (1 ** 1) < (14 + 10))) and (not not (摩洛哥位于北美洲。))) or ((not not (1908年奥运会在里约热内卢举办。)) or (法国位于欧洲。)))) or (not ((((新加坡的货币是新加坡元。) or ((6 - 19) <= (18 * -12) <= (-2 - 17))) or (not not ((10 - 6) <= (-19 + 14)))) and (not (52是完全平方数。)) and ((((-9 * -10 + -2 * -8) == (12 - 13)) or ((... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 57359339,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. ((not (((not not ((-1 - 2) < (1 ** 1) < (14 + 10))) and (not... |
logic-v2 | 研究以下逻辑语句：
A. not not (((((not not (金星是距离太阳第2近的行星。)) or (((-5 * 10 + -4 * 9) > (-8 - 10)) or (罗马尼亚的首都是曼谷。))) or (((土耳其的首都是安卡拉。) or ((12 * 7) != (-6 * 7))) or (not not (法国位于欧洲。)))) or ((1900年奥运会在罗马举办。) or ((二月有28天。) or ((20 - 15) == (5 * -6 * 6 * -4))))) or (((((-10 * -6 + 0 * -4) > (12 + 15)) and ((14 * 7) >= (8 * 2 - ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 31266578,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not (((((not not (金星是距离太阳第2近的行星。)) or (((-5 * 10 + -4 * 9) > (-... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((not (((10 * 10 - -3 * -6) == (-20 - -5)) and (((19 - -14) > (-2 * 6)) or ((5 * -6 - -3 * 2) != (-7 * -5 - 9 * -5))))) and (not ((((-9 * 6) <= (-19 - 7)) or (1的平方根是1。)) and (((46 % 10) <= (-1 + -11) <= (-10 * 10)) or ((-9 * 7) < (1 ** 3)))))) or ((not not ((欧盟的货币是澳元。) or (not not ((6 + 10) <= (... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 4150195,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not not (((not (((10 * 10 - -3 * -6) == (-20 - -5)) and (((19 -... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((not (((((3 * 5 * -7 * -8) < (-6 * -11)) and ((18 % 7) != (6 - 8))) and (((10 % 6) != (-10 * -3 + -10 * 2)) or ((-19 + -14) > (1 + -18)))) and ((not (法国的首都是巴黎。)) or (not (30是偶数。))))) or (not (((葡萄牙的首都是里斯本。) and (((6 - 9) == (-5 * 0 * -7 * -3)) and (第二次世界大战开始发生在1939年。))) or (((6 * -5 + -7 *... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 45551907,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((not (((((3 * 5 * -7 * -8) < (-6 * -11)) and ... |
logic-v2 | 分析以下逻辑表达式：
A. (not (not not ((空气在常温下是气体。) or (not (木星是距离太阳第5近的行星。))))) and (not not (not not ((not (((15 * 20) == (11 - 12)) or (七月有30天。))) or (((15 * -12) != (4 ** 3)) or (鲸鱼是鱼类。)) or ((罗马尼亚的首都是布达佩斯。) and ((泰国位于亚洲。) and (蚂蚁有10条腿。))))))
B. not (not not ((not not ((not (南非的货币是克朗。)) and ((52能被12整除。) or ((-14 - -19) <= (... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 27076058,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (not (not not ((空气在常温下是气体。) or (not (木星是距离太阳第5近的行星。))))) and (no... |
logic-v2 | 检验这些表达式：
A. not not (not ((not not ((-14 - -12) != (13 * 2))) and (((22 % 7) >= (-17 + 6)) or ((((8 + 11) >= (-18 + 3)) or ((45 % 7) == (-4 * -6 * -3 * 8))) or (((0 * 8) < (4 * 1)) and (南非的货币是福林。))))))
B. not (not not (((not not ((-20 * 14) == (5 * 5 + 10 * -2))) or (not not ((6 * 8 - -10 * -6) >= (4 ** 2))) or (日本的首都... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 61062303,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (not ((not not ((-14 - -12) != (13 * 2))) and (((22 % 7) >= ... |
logic-v2 | 审视以下逻辑表达式：
A. (not not ((((not not (铝的化学符号是Al。)) or (印度尼西亚的首都是维也纳。)) or ((not not (海王星是距离太阳第8近的行星。)) and (((-18 - 2) > (19 + 15)) and ((19 % 1) <= (-4 * 2 * -9 * -9))))) and ((第一次世界大战开始发生在1914年。) and ((39 % 6) < (-19 + -10))))) or (not not ((not not (not (not not (企鹅能飞翔。)))) and (((1978年是闰年。) or (镍的化学符号是Ni。)) and (((5... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 67845619,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (not not ((((not not (铝的化学符号是Al。)) or (印度尼西亚的首都是维也纳。)) or ((not ... |
logic-v2 | Evaluate each expression below:
A. not not (not ((((1 * 4) != (-5 + 16)) and ((There are 31 days in December.) and ((18 % 9) < (-20 - 12))) and ((-14 * 8) >= (1 - -14))) and ((Water boils at 100 degrees Celsius at sea level.) and (not (The currency of Australia is the Dollar.))) and ((The chemical symbol for Chromium ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 30176683,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (not ((((1 * 4) != (-5 + 16)) and (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (((not not (埃及的货币是人民币。)) or (not ((((16 * -10) == (-13 + 10)) and (蝴蝶有4条腿。)) and ((七月有31天。) and ((-14 * -6) == (-8 + -9)))))) or (not (not (现代奥运会首届举办发生在1895年。))))
B. not ((((((泰国的首都是哈瓦那。) and (1984年奥运会在洛杉矶举办。)) and ((6 - -2) < (-10 * -4 - 6 * 10))) and (not ((5 * 3) >= (10 - -10))) and... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 33527385,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (((not not (埃及的货币是人民币。)) or (not ((((16 * -10... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not (not (蜻蜓是鱼类。))) and ((not (蜘蛛是昆虫。)) and ((((木星是距离太阳第5近的行星。) or ((4 ** 1) < (-6 * -9))) and (not (1900年奥运会在巴黎举办。))) or (英国位于欧洲。))))
B. not (not not ((((not not ((-11 + 1) == (1 * -8 + 0 * -2))) and (not not ((-1 * -6 + -8 * 3) <= (0 + -9)))) and (((欧盟的货币是欧元。) or (十月有29天。)) and ((1900年奥运会在巴... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 53324895,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not (not (蜻蜓是鱼类。))) and ((not (蜘蛛是昆虫。)) and ((((木星是距... |
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