env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((-1 * 3 - 5 * -1) <= (23 % 7))
B. ((((-3 * -7) != (3 + -12)) and (The 1908 Olympics were held in Paris.)) or (The capital of Romania is Cairo.)) and ((12 + -13) != (-5 * -4 - 6 * -6))
C. ((2 * -10 + 4 * 2) >= (-6 - -15)) and (Italy is in South America.)
D. (not no... | {
"game_data": {
"answer": "G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 41214061,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((-1 * 3 - 5 * -1) <= (2... |
logic-v2 | 考虑以下布尔表达式：
A. not (((-10 * -7) >= (-3 * -5 + -1 * -8)) or (not (新西兰位于大洋洲。)))
B. ((not not (植物通过光合作用产生氧气。)) and (((1 - 7) <= (14 + -1) <= (-2 + 7)) or ((-12 - 9) < (7 * 0 - -4 * 3)))) and (((莱特兄弟首次飞行发生在1903年。) and (四月有28天。)) or ((-9 * -7) >= (7 - 18)))
C. (not ((10 * -6 * 2 * 4) >= (-1 * 6))) and ((2007年是闰年。) and (not ... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 89596174,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not (((-10 * -7) >= (-3 * -5 + -1 * -8)) or (not (新西兰位于大洋洲。)))\n... |
logic-v2 | 审视以下逻辑表达式：
A. 246是完全平方数。
B. (((4 ** 3) <= (7 * 9 + 9 * -6)) or ((1 + 18) >= (-1 * 4 + 1 * -6))) and ((镁的化学符号是Mg。) or (澳大利亚的货币是澳元。))
C. ((英国位于欧洲。) or (尼日利亚位于北美洲。)) or (((-3 * 11) >= (3 * 1 - 2 * 0)) and ((6 - -9) >= (-4 + 9)))
D. ((2 * -18) > (1 + -12)) and (1924年奥运会在首尔举办。)
E. not not (((-18 + -11) < (43 % 7)) and ((-1... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 66221305,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. 246是完全平方数。\nB. (((4 ** 3) <= (7 * 9 + 9 * -6)) or ((1 + 18) >=... |
logic-v2 | Analyze these boolean expressions:
A. (((-4 * -7 * -8 * 1) >= (2 * 3 - -1 * -9)) and (not (Chile is in South America.)) and ((not not (Chile is in Oceania.)) and (not ((7 * 7 - 2 * -7) >= (-12 + 2))))) and ((not not ((11 % 8) < (2 ** 2))) or ((-10 * -10 * -7 * -5) < (24 % 8))) and (not (((98 is a prime number.) or ((-... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 9105098,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (((-4 * -7 * -8 * 1) >= (2 * 3 - -1 * -9)) ... |
logic-v2 | 下面是几个布尔表达式：
A. ((((-19 * 4) < (0 - -11)) and ((not (人类有三个肺。)) or (((-8 - -3) == (3 * -9 - 3 * 4)) and (法国大革命开始发生在1779年。)))) or (((not (马有4条腿。)) or (鸡有2条腿。)) or (((人类每只手有五个手指。) and (瑞典的首都是斯德哥尔摩。)) or ((0 * 7 * -1 * 5) > (5 ** 3))))) or (not not ((16 * -8) >= (9 - 1))) or ((((((9 * -10 - -2 * 8) != (-6 * -20)) and (电流比光... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 78739668,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((((-19 * 4) < (0 - -11)) and ((not (人类有三个肺。)) or (((-8 - -3)... |
logic-v2 | 检验这些表达式：
A. (((2 - 0) < (-5 + -12) < (19 * 3)) and ((not not (碳的化学符号是Cl。)) or (((2 * -5 + 7 * -2) != (-13 - 12)) and (1953年是闰年。)))) and (((西班牙位于非洲。) and ((0 - -12) < (-10 * -6 - 9 * 7))) and (埃及的首都是开罗。))
B. 水在海平面上的沸点是100摄氏度。
C. (not (((俄罗斯位于欧洲。) or (墨西哥位于北美洲。)) and (not not (巴西位于南美洲。)))) and ((电流比光速更快。) and ((-8 * 0) ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 10829260,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (((2 - 0) < (-5 + -12) < (19 * 3)) and ((not not (碳的化学符号是Cl。)) or ((... |
logic-v2 | Analyze these boolean expressions:
A. (not (not ((Steam is a gas at room temperature.) or (Spain is in Asia.) or (((A dragonfly is an insect.) and (Saturn is the 2nd planet from the Sun.)) or (((7 * 6) < (1 ** 2) < (-4 * 4 * 10 * 7)) and ((10 - -7) < (-2 * -15))))))) or (not not (((((2 ** 2) >= (8 * 4)) and (not not (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 33337729,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not (not ((Steam is a gas at room tem... |
logic-v2 | Examine these expressions:
A. not not (not (((((-16 - 5) == (2 ** 2)) and (The capital of Kenya is Paris.)) and ((((-19 + -19) <= (-14 - 10)) or (United States is in Asia.)) and ((Plants produce oxygen through photosynthesis.) and ((12 - 17) > (19 % 2))))) and (not (not not (not not ((-12 * 10) <= (-15 * 11)))))))
B. ... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 28839793,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. not not (not (((((-16 - 5) == (2 ** 2)) an... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (not ((((冰在常温下是固体。) and (not (人类首次登月发生在1964年。))) or (海王星是距离太阳第1近的行星。)) or (not not (((秘鲁的首都是利马。) and ((12 + -2) < (20 - 0))) and (((-10 + -20) > (0 + -18)) and (海王星是距离太阳第1近的行星。))))))
B. not (not (((((意大利位于大洋洲。) or ((-5 + 16) < (-4 * -9 + -1 * 9))) and (not not (1932年奥运会在伦敦举办。))) and ((not (太阳绕地... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 32354913,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not ((((冰在常温下是固体。) and (not (人类首次登月发生在1964年。))) or (海... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((not (not (Oil is a liquid at room temperature.))) or ((Russia is in Europe.) or (The capital of Netherlands is Amsterdam.)))) or (not (not not ((((The 1924 Olympics were held in Stockholm.) and (Uranus is the 7th planet from the Sun.)) or ((The chemical symbol f... | {
"game_data": {
"answer": "B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 62902945,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((not (not (Oil is ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not (not (not (not not (not (There are 31 days in March.))))))
B. not not ((not not (not not ((not (The chemical symbol for Tin is Ni.)) or (not ((-3 * 18) < (12 + -14)))))) and (not not ((not not ((1997 is a leap year.) or ((-13 - 9) <= (7 * 16)))) or ((((20 ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 37281450,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not (not (not (... |
logic-v2 | 检验这些表达式：
A. 1932年奥运会在洛杉矶举办。
B. (哥伦比亚位于亚洲。) or ((3 ** 2) <= (11 + 11) <= (-15 - -6))
C. (((-17 * 15) <= (3 ** 3) <= (40 % 8)) and ((0 * 2 * -9 * -9) >= (4 ** 3))) or ((第一部iPhone发布发生在2017年。) and (木头在常温下是液体。))
D. (not not (澳大利亚位于大洋洲。)) and (((4 ** 1) > (18 - 1)) and ((17 - -5) > (1 ** 1)))
E. (((-7 * 9) == (7 % 4)) and (... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 93862230,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. 1932年奥运会在洛杉矶举办。\nB. (哥伦比亚位于亚洲。) or ((3 ** 2) <= (11 + 11) <= (-1... |
logic-v2 | Study the following logical statements:
A. not (((not not ((-8 * -13) >= (2 ** 2))) or ((-2 * -6) <= (17 * 18))) and (((not ((7 % 2) < (10 + 16))) or (((9 + -6) <= (-19 + 8)) or ((4 ** 2) > (6 * 6 + 3 * 5)))) or (not not (not not ((5 ** 3) == (-5 * -8 * -5 * 3))))))
B. not not (((The 1972 Olympics were held in Munich.... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 52270840,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not (((not not ((-8 * -13) >= (2 **... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not (((((38 % 6) < (-4 * 5 - 10 * 1)) and (117是奇数。)) and (not not (法国位于非洲。))) and (汞在常温下是液体。))) and ((not ((-17 + 2) <= (-10 * 8 * -2 * -6) <= (9 * 17))) and (not ((火星是距离太阳最近的行星。) or (金枪鱼是昆虫。))) and ((((3 * -3 * 3 * 4) > (20 * 3)) or (((-18 - -13) > (13 - 16)) or (火星是距离太阳第4近的行星。))) and (意大利位于欧洲。))... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 74548934,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not (((((38 % 6) < (-4 * 5 - 10 * 1)) and (117是奇数。)) ... |
logic-v2 | 给定以下布尔表达式：
A. not not (not (not (not (((青蛙有8条腿。) and (兔子是鱼类。)) or (((-3 * -8) != (-16 * 16)) or ((4 - 12) >= (-13 + -18)))))))
B. not (((not (((57是完全平方数。) and ((48 % 9) > (4 * -3))) and (not (英国位于欧洲。)))) or (not not ((-2 - 19) < (-4 + -16) < (1 * 5 - 3 * 9)))) and (((第一部iPhone发布发生在2007年。) and ((-2 - 0) > (-7 * 0))) or... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 71509398,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not not (not (not (not (((青蛙有8条腿。) and (兔子是鱼类。)) or (((-3 * -8) ... |
logic-v2 | 研究以下逻辑语句：
A. ((((英国位于欧洲。) or ((3 ** 3) >= (-7 * -10 * 10 * -8))) or (not not ((6 - 11) < (-1 * 6 + -7 * -3) < (-10 - -7)))) and (not (((7 * 4 + -1 * -6) != (-17 * -17)) and ((-1 * 4 * 9 * 10) != (9 - 7))))) or (not not (not (not (天王星是距离太阳第4近的行星。))))
B. not (not not (not not ((铁的化学符号是He。) or (油在常温下是液体。))))
C. not not (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 95648855,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((((英国位于欧洲。) or ((3 ** 3) >= (-7 * -10 * 10 * -8))) or (not not ((6... |
logic-v2 | 评估以下每个表达式：
A. (钾的化学符号是K。) or ((1924年奥运会在伦敦举办。) or (八月有30天。)) or ((12 - -3) <= (-10 - 8))
B. ((not not (92能被3整除。)) or (not not ((7 % 9) < (-14 * -6) < (0 * 1 * 2 * 7)))) or (智利的货币是比索。)
C. ((天王星是距离太阳第7近的行星。) or ((10 * 0) >= (5 * -1 * -3 * 0))) and (考拉是哺乳动物。)
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": 3,
"language": "cn",
"num_options": 3,
"seed": 78247838,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (钾的化学符号是K。) or ((1924年奥运会在伦敦举办。) or (八月有30天。)) or ((12 - -3) <... |
logic-v2 | 给定以下布尔表达式：
A. ((第一次世界大战结束发生在1918年。) or ((2 ** 2) >= (15 * -6))) or (1904年奥运会在洛杉矶举办。)
B. (not not (德国的首都是罗马。)) or (((30 % 9) > (10 - 18)) and (火烈鸟是鸟类。))
C. (not not (莱特兄弟首次飞行发生在1903年。)) and ((-17 + 9) <= (-19 * -7))
D. (((-9 * 8) > (-8 * 6 * -7 * 2)) or ((6 * 1) < (4 * 3 * -1 * 8))) and ((4 * 10 * -6 * 6) == (-13 - 7))... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 34493409,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((第一次世界大战结束发生在1918年。) or ((2 ** 2) >= (15 * -6))) or (1904年奥运会... |
logic-v2 | 考虑以下布尔表达式：
A. not (((5 ** 1) > (-7 * -7)) and ((2008年奥运会在墨西哥城举办。) and (2020年奥运会在墨尔本举办。)))
B. ((((7 * 6 - 1 * 4) < (6 * -7 + 2 * 9)) or ((5 * -8) <= (-7 * -4 + -7 * 2) <= (6 + 5))) and ((墨西哥的首都是布鲁塞尔。) and ((-5 + -18) > (10 * -2 * 3 * -3)))) or (((12 * 11) != (4 % 6)) and ((42 % 5) < (-12 + -7) < (-9 * 8 * -6 * 2))) or ... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 53340966,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not (((5 ** 1) > (-7 * -7)) and ((2008年奥运会在墨西哥城举办。) and (202... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((((((10 - 0) > (6 + -6)) or (土星是距离太阳第6近的行星。)) or (天王星是距离太阳第7近的行星。)) and ((哥伦布到达美洲发生在1490年。) and (not not (1920年是闰年。)))) or ((1920年奥运会在安特卫普举办。) or ((((-14 + 19) <= (9 * -4 + -7 * 3)) and (2035年是闰年。)) or (((5 * 6) > (5 * 16)) or ((-9 + 8) < (4 ** 3)))))) or ((not not ((-9 * 13) < (3 * -9 * ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 30865057,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((((((10 - 0) > (6 + -6)) or (土星是距离太阳第6近的行星。)) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (西班牙位于欧洲。) or (钠的化学符号是Ag。)
B. ((3 * -3 * 4 * -7) > (-2 + -18)) and (((27 % 9) <= (-3 - -1)) or ((-9 * 18) != (6 * 9 - 0 * -6)))
C. 哥伦比亚的货币是谢克尔。
D. ((狗是哺乳动物。) and (二氧化碳在常温下是气体。)) or (not not ((19 * 6) != (12 - 12)))
E. 鳄鱼是爬行动物。
F. 10是偶数。
G. (2 ** 3) > (-4 * 19)
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 \... | {
"game_data": {
"answer": "A,B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 2582098,
"true_count": 6
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (西班牙位于欧洲。) or (钠的化学符号是Ag。)\nB. ((3 * -3 * 4 * ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. The capital of Greece is Athens.
B. The chemical symbol for Platinum is C.
C. (-6 * 9 * 10 * 8) >= (-9 * -3 * 8 * -7)
D. ((16 - -14) != (-4 + -11)) and ((The currency of Philippines is the Naira.) and ((-9 * 5 + -3 * 1) < (-13 - 6)))
Find all expressions that are True... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 41949270,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. The capital of Greece is Athen... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((not (The chemical symbol for Calcium is Ca.)) or (((5 * 6 - -7 * -3) >= (-9 * 9 * 2 * -6)) and (The capital of Belgium is Vienna.)))
B. ((not not (The French Revolution began occurred in 1789.)) and (Alcohol is a liquid at room ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 93520252,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 检验这些表达式：
A. (not not (((8 * -3 * 2 * -4) < (-14 - 20) < (34 % 2)) and (氦气在常温下是气体。))) or (not not ((六月有31天。) or (阿根廷位于欧洲。)))
B. not not ((((3 - 0) < (15 * -9)) and ((-10 * 10 * -7 * -4) > (10 * 15))) and (not (铜的化学符号是Ne。)))
C. ((以色列的货币是谢克尔。) or (not not (印度的首都是莫斯科。))) and (((铜的化学符号是Cu。) or (金的化学符号是Au。)) or (((21 % 2) <... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 43065229,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not not (((8 * -3 * 2 * -4) < (-14 - 20) < (34 % 2)) and (氦气在常温下是气体... |
logic-v2 | 审视以下逻辑表达式：
A. not not (中国位于南极洲。)
B. ((((-6 - 1) > (2 * 3)) or (狗有4条腿。)) or (((30 % 8) >= (16 + -11)) and ((17 - 7) != (12 + 19)))) or ((第一次世界大战结束发生在1918年。) and (土星是距离太阳第6近的行星。)) or ((9 + -10) > (-2 * 2 * -5 * -5))
C. (((2 - 18) == (15 + 13)) and ((鲸鱼是鱼类。) or ((18 + -5) != (9 * 7 + 10 * 8)))) or ((((-10 * -1) == (7 % 1... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 14242440,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not not (中国位于南极洲。)\nB. ((((-6 - 1) > (2 * 3)) or (狗有4条腿。)) or ... |
logic-v2 | Analyze these boolean expressions:
A. not ((not not ((1970 is a leap year.) and (A parrot is a bird.))) and ((not not (A eagle is an insect.)) and ((-11 - -8) > (-2 * -7 + -9 * -6))))
B. (((Light travels faster than sound.) and (not not (The capital of Brazil is Bogota.))) or (((16 * 0) >= (3 ** 1)) or ((3 % 9) < (25 ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 75196085,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((not not ((1970 is a leap year.) an... |
logic-v2 | Below are several boolean expressions:
A. (not not (Wood is a liquid at room temperature.)) and ((0 * 9) != (17 - 9))
B. ((((-13 + 10) != (4 * 17)) or ((13 + 8) > (9 * 3 - -3 * 6))) and (((-19 * 20) > (10 + -18)) and ((3 ** 1) >= (10 * 3 + 8 * -3)))) or ((Wood is a solid at room temperature.) and (The chemical symbol ... | {
"game_data": {
"answer": "B,C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 48117158,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. (not not (Wood is a liquid at ... |
logic-v2 | Examine these expressions:
A. (((World War II began occurred in 1939.) and ((-17 * 4) >= (-6 * 10 * -2 * 6))) or (not (The square root of 196 is 4.))) and ((not not (China is in Asia.)) and (not ((New Zealand is in Antarctica.) or (255 is a perfect square.)))) and (not not (not not ((not not ((5 * -5 * 9 * 6) < (-17 -... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 15137756,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (((World War II began occurred in 1939.) and ((-17... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((硫的化学符号是S。) and ((青蛙有8条腿。) or ((0 * -8) == (5 + -6))) and (火星是距离太阳第4近的行星。))
B. not ((((哥伦布到达美洲发生在1492年。) and ((3 ** 3) < (2 * -6 * -5 * -4))) or (not not (钙的化学符号是Mg。))) or (((欧盟的货币是欧元。) and (意大利的首都是罗马。)) or ((1896年奥运会在东京举办。) and ((2 - 3) < (-1 * -1 + 4 * 10)))))
C. (not ((秘鲁位于南美洲。) or (66是质数。))... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 8290953,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not not ((硫的化学符号是S。) and ((青蛙有8条腿。) or ((0 * -8) == (5 + -6))) and... |
logic-v2 | Below are several boolean expressions:
A. not not (not ((The 2024 Olympics were held in Paris.) and ((-1 * 4) == (-7 * 4))))
B. ((((35 % 3) == (8 * -7 + 9 * 5)) or ((14 + 11) > (-20 - -4))) or ((There are 28 days in August.) and ((1 ** 2) > (9 * 10 - -4 * 8))) or ((-11 + 10) < (3 * 8 * -4 * 1))) or ((((1 ** 1) < (4 **... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 38808882,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (not ((The 2024 Olympics w... |
logic-v2 | Evaluate each expression below:
A. ((Humans have five fingers on each hand.) or (not not ((3 * -6 - 3 * -5) <= (2 ** 1)))) or (not not ((4 * 2 - 10 * -3) < (-7 * -8 + 5 * 2))) or ((not not ((5 * 18) < (5 - -7))) or (not not ((7 * -3 + 10 * 0) == (-1 * -11))))
B. not (not (Sharks are mammals.))
C. ((not (A iguana is an... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 14082016,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. ((Humans have five fingers on each hand... |
logic-v2 | 考虑以下布尔表达式：
A. (not (not ((((37 % 9) <= (1 + -13)) or (葡萄牙的首都是里斯本。)) and ((-13 * 10) < (7 * 0 + 1 * 4))))) and (((not not ((空气在常温下是液体。) or (金星是距离太阳第3近的行星。))) or (1968年奥运会在墨西哥城举办。) or (((火星是距离太阳第3近的行星。) and ((15 * 11) >= (-4 - 12))) and ((14 + 5) != (-9 * 11)))) or (not ((-14 - 4) > (2 - -6))))
B. ((not (月球绕地球运转。)) and ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 36746948,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. (not (not ((((37 % 9) <= (1 + -13)) or (葡萄牙的首都是里斯本。)) and ... |
logic-v2 | 检验这些表达式：
A. not (((not not (not (((4 - -2) >= (2 ** 3)) or (智利位于非洲。)))) or ((印度尼西亚的货币是韩元。) and ((2041年是闰年。) and (土耳其的首都是新加坡。)))) or (((not ((16 - -3) >= (9 + 20))) or (((-7 * 5) == (-2 - -11)) or ((-5 * -11) != (-2 + 13)))) and ((not (锡的化学符号是Sn。)) or (not not (58是完全平方数。)))) or ((((-2 - 6) == (-3 * 9 + -10 * -8)) or ((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 2470583,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not (((not not (not (((4 - -2) >= (2 ** 3)) or (智利位于非洲。)))) or ((印度尼西... |
logic-v2 | 检验这些表达式：
A. not not ((96是偶数。) or ((-17 - 1) == (4 + -12)))
B. not ((第二次世界大战开始发生在1929年。) and (一月有28天。))
C. 波兰的首都是华沙。
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 6266860,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not ((96是偶数。) or ((-17 - 1) == (4 + -12)))\nB. not ((第二次世界大战开... |
logic-v2 | Analyze these boolean expressions:
A. not ((not (not ((The currency of Denmark is the Krone.) and ((Ice is a liquid at room temperature.) or (The currency of Indonesia is the Rupiah.))))) or (((A horse has 4 legs.) and (((0 * 8 - -10 * -1) > (-13 + -5)) and (The chemical symbol for Calcium is Ni.))) or ((9 * 3 * 3 * -... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 26397981,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((not (not ((The currency of Denmark... |
logic-v2 | 审视以下逻辑表达式：
A. (18 * 13) < (16 - 20) < (13 % 4)
B. not ((1996年奥运会在亚特兰大举办。) or ((3 * 5) < (15 * -3) < (-4 * -2)))
C. (((-10 * 11) <= (16 - -7)) and ((11 % 3) <= (-1 - -18))) or (not (十二月有31天。))
D. (水在海平面上的沸点是100摄氏度。) or (((2 * 14) >= (12 * 14)) or (水在常温下是气体。))
E. (((0 * -8 - -7 * 1) < (-17 - -18) < (2 ** 1)) and ((2 * -... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 69692026,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (18 * 13) < (16 - 20) < (13 % 4)\nB. not ((1996年奥运会在亚特兰大举办。) o... |
logic-v2 | Given the following boolean expressions:
A. (Carbon dioxide is a gas at room temperature.) or (The capital of Finland is Helsinki.)
B. (((9 * -14) > (0 + -4)) and (The 2000 Olympics were held in Sydney.)) and (The chemical symbol for Hydrogen is Ag.)
C. (((-5 + 17) <= (14 + -18)) or ((-2 * 2 - -6 * -6) < (-15 * -15) <... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 49035058,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (Carbon dioxide is a gas at room t... |
logic-v2 | Below are several boolean expressions:
A. not (not not (not (((not (41 is divisible by 4.)) or (Neptune is the 8th planet from the Sun.)) or (((9 + 18) > (3 * -1 + -5 * 0)) and (The 1996 Olympics were held in Tokyo.)) or ((((3 ** 2) == (-12 - 16)) or ((16 + 8) != (17 * -10))) and (not not ((2 ** 3) <= (-13 * 13)))))))... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 27318741,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not (not not (not (((not (41 is di... |
logic-v2 | Study the following logical statements:
A. not ((not not ((11 * 5) == (-9 - 19))) and ((-1 * -3 * -8 * 4) > (2 * 7 * -4 * 9)) and (not (not (((-11 - 2) >= (2 * 3 + 6 * 6)) and (The currency of Turkey is the Franc.)))))
B. not (not ((((The currency of Peru is the Krone.) and ((-11 - 5) >= (-20 + -15))) and ((The 1952 O... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 89955321,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not ((not not ((11 * 5) == (-9 - ... |
logic-v2 | Below are several boolean expressions:
A. not not (There are 30 days in April.)
B. not ((-2 * 6 + 10 * -2) < (5 - -10) < (-19 * -1))
C. not (not not (not not (The currency of Nigeria is the Koruna.)))
Identify all expressions that are true. Answer with the option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 53057127,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not not (There are 30 days in April.... |
logic-v2 | Analyze these boolean expressions:
A. not ((not ((not not (not not (The 1952 Olympics were held in Helsinki.))) and (The currency of Singapore is the Krone.))) or (not ((((-8 - 8) == (17 * 13)) and (The capital of Finland is Lisbon.)) and (The chemical symbol for Aluminum is Al.))) or (not not (((5 * 1 - -4 * 4) > (-1... | {
"game_data": {
"answer": "G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 58728946,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not ((not ((not not (not not (The 1952 Oly... |
logic-v2 | Below are several boolean expressions:
A. not (((not ((((9 * -15) <= (4 * 3)) and (8 is a prime number.)) and (((0 + 19) > (18 + -11)) and (The 1932 Olympics were held in Beijing.)))) and (not not (not not (((12 * -7) >= (-15 * 14)) and ((31 % 4) >= (18 - -3)))))) or (((not not (not ((5 ** 2) != (7 * 19)))) and ((-8 -... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 73361269,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not (((not ((((9 * -15) <= (4 * 3)... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (天王星是距离太阳第7近的行星。)
B. 57大于63。
C. ((鸡有4条腿。) or (火星是距离太阳最近的行星。)) and (not (磷的化学符号是Cu。))
D. 铁在常温下是气体。
E. (-1 * -7 * 0 * -5) <= (-19 * -8)
F. not (((-11 * -1) < (-7 * 0 - -5 * 0) < (20 % 4)) or (印度尼西亚的首都是罗马。))
G. ((火烈鸟是鱼类。) and ((10 % 3) >= (16 + 7))) and (not (巴西的首都是巴西利亚。))
哪些选项的值为真？请列出所有... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 95080210,
"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. not not (天王星是距离太阳第7近的行星。)\nB. 57大于63。\nC. ((鸡有4条腿。)... |
logic-v2 | Examine these expressions:
A. not (not ((((((9 * -6 * 7 * 8) != (17 + 15)) and ((16 * 8) >= (-1 * 6 - 6 * -1))) and ((8 + 3) >= (3 * 8 - -10 * -7))) or ((7 - -16) != (13 - 20))) and ((not ((Nitrogen is a gas at room temperature.) and (The currency of United Kingdom is the Pound.))) and (((-20 * -18) <= (8 % 5) <= (21 ... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 97078197,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not ((((((9 * -6 * 7 * 8) != (17 + 15)) a... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not (((not ((Australia is in Africa.) or (The square root of 144 is 15.))) and (2079 is a leap year.) and (not ((The currency of Brazil is the Real.) or ((-12 + 1) < (8 - -2) < (-9 * 15))))) or (not not ((not not (Humans only use 10% of their brain.)) and (not not (Oi... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 34949859,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not (((not ((Australia is in ... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((not (委内瑞拉的首都是加拉加斯。)) and (((29 % 7) < (16 + -16)) or ((锰的化学符号是He。) and (((0 * -1 * -8 * -3) < (1 * -1 + -5 * -6)) and ((5 * 6 + 0 * 6) >= (12 - 9)))))) and ((((钴的化学符号是Sn。) and ((海王星是距离太阳第8近的行星。) and ((17 - -19) == (42 % 9)))) and (十月有31天。) and ((-20 + 4) <= (-6 - 18))) or (not not ((not not (芬... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 75591469,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not not (((not (委内瑞拉的首都是加拉加斯。)) and (((29 % 7) < (16 + -16)) o... |
logic-v2 | 评估以下每个表达式：
A. (((金的化学符号是Ti。) or (十一月有30天。)) and ((10 + -15) < (2 ** 2) < (19 + -11))) or (((4 - 10) < (36 % 2)) or (沙特阿拉伯位于非洲。)) or (not not ((-7 + -11) > (5 + 11)))
B. (not not (not not (第一部iPhone发布发生在2009年。))) and (((柏林墙倒塌发生在1989年。) or ((6 * -2 - 10 * -4) >= (-5 + 8))) or ((6 * -2 * 6 * -1) <= (15 * 5) <= (1 ** 1)))... | {
"game_data": {
"answer": "A,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 89662129,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (((金的化学符号是Ti。) or (十一月有30天。)) and ((10 + -15) < (2 ** 2) < (19... |
logic-v2 | 分析以下逻辑表达式：
A. (((((5 ** 3) == (3 + 18)) or ((碳的化学符号是C。) and (第二次世界大战开始发生在1941年。))) or (((鸡是鸟类。) and (246是完全平方数。)) and ((59能被4整除。) and (尼日利亚的首都是巴黎。)))) and (((太平洋是最大的海洋。) or (((-2 * -5) < (-11 + -2)) or ((-9 - 9) >= (6 - -16)))) or ((5 * 10 * -1 * 0) <= (2 ** 3) <= (7 * 11)))) and (((甲虫是爬行动物。) and (九月有28天。) and ((3 + -... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 16211636,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (((((5 ** 3) == (3 + 18)) or ((碳的化学符号是C。) and (第二次世界大战开始发生在1941年... |
logic-v2 | Consider the following logical expressions:
A. (-12 * 17) <= (-12 + 10) <= (4 % 1)
B. ((19 + 8) != (7 - 2)) and (((2 ** 3) != (-1 + -16)) or (A eagle is a bird.))
C. ((11 * 13) < (11 - -1)) or (((12 + 0) < (6 - 16)) and (A cow has 4 legs.))
D. not (((18 * 17) == (-11 + 7)) and ((11 - 8) >= (-7 + 0)))
E. not not (Steam... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 74900210,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (-12 * 17) <= (-12 + 10) <= (... |
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 not (1960年奥运会在罗马举办。)))
B. not not (((7 * -9 + -8 * -2) != (6 * 10 + 0 * 7)) and ((((-5 * 7 - -3 * -4) <= (10 - -3) <= (14 * 13)) or (7是偶数。)) or ((-19 * 8) <= (18 + 20))))
C. ((not not (not not (瑞典的货币是克朗。))) and ((新西兰的货币是比索。) or ((5 * -9 + 3 * 7) != (3 * 1 * 8 * 7))) and ((((1... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 2649309,
"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. not (not not (not not (1960年奥运会在罗马举办。)))\nB. not not... |
logic-v2 | 下面是几个布尔表达式：
A. (1 ** 2) == (11 - 20)
B. (汞的化学符号是Ti。) or (not not ((8 * 16) == (45 % 2)))
C. ((氮气在常温下是气体。) or (丹麦的货币是克朗。)) or (((-15 - 1) > (4 * -8 * 10 * 1)) and ((20 - 16) != (0 + -17)))
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 21260233,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (1 ** 2) == (11 - 20)\nB. (汞的化学符号是Ti。) or (not not ((8 * 16) == (... |
logic-v2 | 评估以下每个表达式：
A. ((not ((((1924年奥运会在墨西哥城举办。) or (钠的化学符号是Cu。)) and (印度的货币是兰特。)) and ((鱼有4条腿。) or (41是质数。)) and (not (not ((-20 - -6) < (15 - 13)))))) or (not ((俄罗斯的首都是波哥大。) or (((19 + 14) > (4 ** 3)) or ((2 ** 1) == (-1 + 10))) or (((13 + 8) <= (-13 - 11)) and ((2020年奥运会在雅典举办。) or (法国大革命开始发生在1789年。)))))) and (not ((((196的... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 9888269,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((not ((((1924年奥运会在墨西哥城举办。) or (钠的化学符号是Cu。)) and (印度的货币是兰特。)) and... |
logic-v2 | Given the following boolean expressions:
A. not ((not (not (Brazil is in South America.))) and ((((((-19 * 4) <= (7 * -14)) or ((-2 + 14) == (-9 - 15))) or ((The capital of Vietnam is Mexico City.) or ((-7 * 0 - -6 * 3) < (-20 - -14)))) and ((not ((15 - 6) > (-7 * 1))) or ((Uranus is the 7th planet from the Sun.) or (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 22342481,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not ((not (not (Brazil is in South... |
logic-v2 | 评估以下每个表达式：
A. 越南的货币是越南盾。
B. not not (镁的化学符号是Cu。)
C. ((1 - -6) <= (-2 * 4 * 5 * -2)) and (not (鲨鱼是哺乳动物。))
D. (((15 % 5) <= (6 + -12)) or ((12 - -20) >= (2 ** 2))) or ((-4 + 20) > (7 % 10))
E. ((30 % 2) >= (6 + -8)) and ((-1 + -9) < (10 - -3))
F. ((越南的货币是越南盾。) or (尼日利亚位于非洲。)) or (not (青蛙有4条腿。))
G. ((南非的货币是兰特。) or ((-7 *... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 65848678,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. 越南的货币是越南盾。\nB. not not (镁的化学符号是Cu。)\nC. ((1 - -6) <= (-2 *... |
logic-v2 | Analyze these boolean expressions:
A. not not ((not not (((4 - -7) < (-1 + -7)) or ((United States is in North America.) and ((4 - 3) <= (4 ** 2) <= (-3 * 3 * 10 * -3))))) or ((not (The Earth revolves around the Sun.)) and ((((The speed of light is approximately 300,000 km/s.) and (Air is a gas at room temperature.)) ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 47932885,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not ((not not (((4 - -7) < (-1 + -... |
logic-v2 | Examine these expressions:
A. not not (not not ((((not not (Jupiter is the 4th planet from the Sun.)) and ((254 is a Fibonacci number.) and (Silver is a solid at room temperature.))) or (((The capital of South Korea is Rabat.) and (The chemical symbol for Sulfur is S.)) and (not not ((3 * 4 * 3 * 7) < (-17 - 11))))) o... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 35790507,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (not not ((((not not (Jupiter is the 4... |
logic-v2 | Evaluate each expression below:
A. not (not (((The 1976 Olympics were held in Montreal.) or (not not ((0 - 20) < (4 ** 1)))) and ((((-11 * -19) < (3 ** 1) < (-10 * -4 + -2 * 6)) and ((The Great Wall of China was built in one year.) and (Saturn is the 2nd planet from the Sun.))) or (((-4 * -10 * -8 * -6) >= (-14 * -15)... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 15037877,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (not (((The 1976 Olympics were held in ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (((壁虎是昆虫。) or ((5 * -17) >= (13 % 10))) and ((1948年奥运会在巴塞罗那举办。) and (哥伦布到达美洲发生在1492年。)))
B. (((第一次世界大战开始发生在1904年。) and ((6 * 0 + -4 * 5) != (0 + 9))) or ((法国大革命开始发生在1789年。) and (俄罗斯的首都是马尼拉。))) and ((十月有31天。) and (not ((1 ** 1) <= (-15 * 14))))
C. (土星是距离太阳第6近的行星。) or (not (木星是距离太阳第5近的行星。)) ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 13657226,
"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 (((壁虎是昆虫。) or ((5 * -17) >= (13 % 10))) and ((194... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (not ((-7 * -5) == (6 * 1 - 6 * -5)))) or (((韩国位于亚洲。) or ((2 ** 1) != (-3 + 11))) and (((-14 * -15) < (9 * 4)) and (银在常温下是液体。)))) or (((-19 + -10) > (16 + 14)) and (not (((5 * -15) > (50 % 3)) or (西班牙位于欧洲。))))
B. (not not (一月有31天。)) and (((((-12 + -10) <= (-2 * 7 * 0 * 4) <= (9 + 0)) or (匈牙利的首... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 75886625,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (not ((-7 * -5) == (6 * 1 - 6 * -5)))) or (((韩国位于亚洲... |
logic-v2 | Review these logical expressions:
A. (((((-15 * 0) == (-10 * -11)) or ((29 % 9) < (3 * -3 * 8 * 10))) and ((1962 is a leap year.) and (Thailand is in Antarctica.))) and (((-15 * 0) < (3 ** 2)) or (The chemical symbol for Magnesium is Al.)) and (not not ((A crab has 100 legs.) or (The human body has 206 bones.)))) and ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 35569990,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (((((-15 * 0) == (-10 * -11)) or ((29 % 9) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((not not (not not (A pig has 4 legs.))) and (not ((3 ** 3) < (-4 * 18)))) or (((((The currency of China is the Dollar.) and ((-8 - 12) == (6 * -1 - -1 * -2))) and ((The currency of Denmark is the Pound.) and (A tuna is a mammal.... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 34143600,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 研究以下逻辑语句：
A. not ((((not (not ((5 * -8 * 8 * -5) >= (-13 + 7)))) or (蝙蝠是哺乳动物。)) or (not not (第二次世界大战开始发生在1929年。))) and (not (not (人类首次登月发生在1959年。))))
B. not ((((((蚱蜢是哺乳动物。) and (氯的化学符号是K。)) and (not (钛的化学符号是Ti。))) and (((59能被10整除。) or (芬兰的首都是维也纳。)) or (not ((20 * -19) >= (16 - 6))))) or (not (((20 - 0) > (7 + -5)) and... | {
"game_data": {
"answer": "A,B,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 46956268,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not ((((not (not ((5 * -8 * 8 * -5) >= (-13 + 7)))) or (蝙蝠是哺乳... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((not not (The currency of New Zealand is the Dollar.)) and ((not ((-13 * 3) >= (-1 + 19))) or ((((-6 - -20) == (1 ** 2)) or (84 is an even number.)) and ((The Moon orbits the Earth.) or (The capital of Netherlands is Amsterdam.)))))) or (not (not not ((((Ther... | {
"game_data": {
"answer": "A,C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 61141706,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((not not (The cu... |
logic-v2 | Given the following boolean expressions:
A. not ((not (((-9 - 17) > (16 + 18)) or (not (not ((8 * -16) >= (5 * -13)))))) and (not not ((not ((The capital of Portugal is Riyadh.) and (Jupiter is the 5th planet from the Sun.))) or (not (A octopus has 4 legs.)) or (not not ((The chemical symbol for Potassium is K.) or (T... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 6079134,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not ((not (((-9 - 17) > (16 + 18)... |
logic-v2 | 下面是几个布尔表达式：
A. ((not (澳大利亚的首都是堪培拉。)) or (德国位于欧洲。)) or (not ((氧的化学符号是Sn。) or (((18 - 18) >= (10 + 15)) and (2024年奥运会在伦敦举办。))))
B. (not (((16 - -16) > (2 ** 1)) and ((以色列的货币是越南盾。) and ((2 ** 2) == (-10 * 0 - -1 * 4))))) and ((not not (((-8 * -3) != (4 - 0)) or ((-14 + -13) == (-9 + 1)))) and (((第一次世界大战结束发生在1920年。) and (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 25130226,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((not (澳大利亚的首都是堪培拉。)) or (德国位于欧洲。)) or (not ((氧的化学符号是Sn。) or ((... |
logic-v2 | 检验这些表达式：
A. 第二次世界大战开始发生在1929年。
B. ((-8 + -17) >= (6 + 2)) or (((11 - -5) >= (-4 + 3)) or (氢的化学符号是H。))
C. not not ((49能被7整除。) or ((-13 + -8) < (15 + -10) < (8 + 6)))
D. ((9 * 1 * -6 * 4) < (4 ** 3) < (0 - 20)) and (苏联解体发生在1991年。)
E. not ((木头在常温下是固体。) or (印度的货币是奈拉。))
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 99389859,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. 第二次世界大战开始发生在1929年。\nB. ((-8 + -17) >= (6 + 2)) or (((11 - -5) >= (... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((not ((((12 + 15) != (-17 * 8)) or ((1 ** 1) <= (1 ** 2))) and (not (1980年奥运会在莫斯科举办。)))) and (not not (氧气在常温下是气体。))) or (((((铬的化学符号是Ti。) and (1952年奥运会在雅典举办。)) and (((-19 * 11) >= (8 * -10 - 1 * 8)) or ((10 % 1) > (19 + -9)))) and (((18 * -14) == (2 ** 1)) or ((13 * -16) <= (-6 * -17))) and (not... | {
"game_data": {
"answer": "A,B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 80241739,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. not not (((not ((((12 + 15) != (-17 * 8)) or ((1 ** 1) <... |
logic-v2 | Study the following logical statements:
A. not not ((((156 is a perfect square.) or ((The chemical symbol for Aluminum is Al.) or ((3 ** 1) == (15 - -15)))) and ((-10 * -3 + -1 * 6) == (-3 * 0)) and ((13 * 19) <= (-7 * -1 * -8 * -2))) or (not (The chemical symbol for Zinc is Zn.)))
B. ((not (The currency of Argentina ... | {
"game_data": {
"answer": "B,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 88250540,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not not ((((156 is a perfect sq... |
logic-v2 | Examine these expressions:
A. The capital of Belgium is Oslo.
B. (-10 * 9 - 2 * -7) >= (-20 + -9)
C. (((-11 - 20) < (14 + 4) < (20 + -5)) and ((-2 * -14) > (2 ** 1))) and (not (A kangaroo has 6 legs.))
D. not not ((The first iPhone was released occurred in 2007.) or ((8 * 17) >= (19 - -16)))
E. The currency of Turkey ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 82430198,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. The capital of Belgium is Oslo.\nB. (-10 * 9 - 2... |
logic-v2 | 下面是几个布尔表达式：
A. ((-6 * -4 - 6 * 7) != (-6 * 5 + -1 * -6)) or ((1957年是闰年。) and ((-3 * 2 - 2 * -8) > (4 * 6 * -7 * 5)))
B. 锡的化学符号是Sn。
C. (not (天王星是距离太阳第7近的行星。)) and ((1937年是闰年。) and ((-18 * 2) < (-16 * 6) < (-6 * 0)))
D. not not (not (银在常温下是固体。))
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 31476331,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((-6 * -4 - 6 * 7) != (-6 * 5 + -1 * -6)) or ((1957年是闰年。) and (... |
logic-v2 | 审视以下逻辑表达式：
A. (not (((not (鱼有0条腿。)) or (not not (鸟有2条腿。)) or ((((16 + -15) <= (6 - 13) <= (3 * 2 - -7 * -5)) and ((0 * 2 * 2 * -6) <= (8 * 8 + 7 * -7))) or (((19 * 13) < (-8 - -16)) or ((21 % 6) <= (18 - 9))))) or ((((柏林墙倒塌发生在1999年。) or (泰国位于南极洲。)) and (1992年奥运会在巴黎举办。)) and (硅的化学符号是Si。)))) or (not not (not ((章鱼有2条腿。) ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 89419302,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (not (((not (鱼有0条腿。)) or (not not (鸟有2条腿。)) or ((((16 + -15) <= ... |
logic-v2 | Examine these expressions:
A. not (Oil is a liquid at room temperature.)
B. not not ((((2 ** 3) == (1 * -1 * -4 * -4)) and (The 1984 Olympics were held in Los Angeles.)) and (not (The currency of Sweden is the Naira.)))
C. (((11 + 16) <= (7 + -12) <= (16 + 13)) and (Uranus is the 7th planet from the Sun.)) and ((((6 %... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 86797317,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (Oil is a liquid at room temperature.)\nB.... |
logic-v2 | Review these logical expressions:
A. (not ((((-9 * -1 + -2 * 9) <= (2 ** 2) <= (-18 + -4)) and (not not (66 is a prime number.))) and (Earth is the 3rd planet from the Sun.) and ((not (The 1896 Olympics were held in Athens.)) and (The currency of Brazil is the Rand.)))) or (not (not not ((The Moon produces its own lig... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 98038339,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (not ((((-9 * -1 + -2 * 9) <= (2 ** 2... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((not (((((-17 + 6) > (-6 - 0)) and (意大利的首都是罗马。)) or (not not ((7 * -9 * -2 * -3) <= (6 % 1)))) or ((2 - -2) == (14 * 3)))) and (not (猫有6条腿。)) and ((((not not (三月有30天。)) and ((法国位于非洲。) or ((0 * 3 - 9 * -10) > (2 ** 3)))) or (not not (((0 * -7 + 7 * 6) < (18 + -5) < (4 + -4)) and ((9 * -3) < (-3 ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 44339815,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not not ((not (((((-17 + 6) > (-6 - 0)) and (意大利的首都是罗马。)) or (not... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (not (not (((14 + 5) > (3 ** 3)) and ((-10 * 16) < (5 ** 1)) and ((-16 + 3) < (20 * -20) < (-4 - 6)))))
B. (not not ((not (印度位于非洲。)) or (not (not not ((英国位于欧洲。) and (新西兰位于南美洲。)))))) and ((not not ((14 + 15) < (-16 - 20) < (3 ** 2))) and (((海王星是距离太阳第8近的行星。) or ((7 * -8 * -5 * 7) <= (13 - -8))) o... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 41772165,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not (not (((14 + 5) > (3 ** 3)) and ((-10 * 16) < (5 ... |
logic-v2 | Study the following logical statements:
A. not not (not (not not ((722 is a Fibonacci number.) and (((7 * 1) != (3 ** 3)) and ((-11 * 13) <= (-8 * 11))) and (not (not ((10 * 12) < (4 * 9)))))))
B. not ((not not (not not ((((-12 * 3) == (-17 * -15)) or ((3 * 16) <= (32 % 8))) and (((3 ** 3) <= (4 * -7 * -4 * -9)) and (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 35721960,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (not (not not ((722 is a ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not ((There are 30 days in May.) or (not (not (Chile is in South America.))))) and (not (not (((Sound travels faster in a vacuum.) and (The square root of 144 is 12.)) or (not (The currency of India is the Krone.)))))
B. ((not ((not (124 is an even number.)) or (A but... | {
"game_data": {
"answer": "B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 13578029,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not ((There are 30 days... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((((-4 * -3) < (-2 * 1 + 1 * 4)) or (((4 ** 3) > (6 * 2 - 9 * 10)) and (World War I began occurred in 1914.))) or (((The 1904 Olympics were held in St. Louis.) or (Earth is the 3rd planet from the Sun.)) or (not not ((14 + -3) <= (14... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 23992020,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 审视以下逻辑表达式：
A. ((肯尼亚的首都是内罗毕。) and ((-7 + -4) < (-7 * -9 + 5 * -8))) or (((-6 * -9 + 3 * -10) >= (49 % 10)) or ((6 - 16) < (-17 - -4)))
B. ((2092年是闰年。) or ((17 - 12) < (14 + 8))) or (((9 + -5) > (16 - -7)) or ((-7 * 5 * 5 * 0) < (-16 - 2)))
C. (not not (美国宣布独立发生在1777年。)) or ((硅的化学符号是U。) and ((-14 - -10) == (-6 + 12)))
... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 57273592,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((肯尼亚的首都是内罗毕。) and ((-7 + -4) < (-7 * -9 + 5 * -8))) or (((-6 * ... |
logic-v2 | 检验这些表达式：
A. not ((not ((-8 * 3 - 7 * 8) > (-10 * 6 - 2 * -3))) or (not ((5 + -18) > (19 + -7))))
B. (not not (((-20 * 13) == (-3 - -19)) or ((9 + -12) >= (-2 * 4 - -7 * -2)))) and (((36的平方根是12。) and ((-18 * -8) == (-2 * 5 - -4 * 9))) or (((-14 - -7) >= (6 + 13)) and (氧气对人类生存是必需的。)))
C. ((not (1976年奥运会在洛杉矶举办。)) and ((1... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 62858175,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not ((not ((-8 * 3 - 7 * 8) > (-10 * 6 - 2 * -3))) or (not ((5 + -18... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. The capital of Germany is Ottawa.
B. (((-15 * -11) <= (12 + 6)) and ((-5 - 12) == (1 - 1))) or (((-8 - 11) < (9 + -12)) and ((6 * 15) <= (14 - -17)))
C. ((6 - -18) == (4 - 5)) and (((-2 + -9) != (8 % 6)) or (2100 is a leap year.))
D. Peru... | {
"game_data": {
"answer": "F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 10481998,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not ((17 + -3) <= (12 + -2))) and ((英国位于北美洲。) or ((5 * 9 - 9 * -5) == (5 ** 1)))) and ((-10 * 7) <= (4 + -13)) and ((not ((-2 * -18) <= (-13 * -7) <= (-14 * -15))) and (not not (钴的化学符号是C。)))) and (((四月有31天。) and (1942年是闰年。)) or ((((13 * 3) != (-17 * -12)) or ((-5 * -7 + -7 * 9) != (2 * 10 * -3 *... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 70611145,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not ((17 + -3) <= (12 + -2))) and ((英国位于北美洲。) or ((5 * ... |
logic-v2 | Evaluate each expression below:
A. ((not (((-11 * 12) <= (-20 * -4)) or ((35 % 10) == (14 % 2)))) or ((The currency of Canada is the Zloty.) or (The 1908 Olympics were held in London.)) or (The square root of 16 is 7.)) and ((Japan is in Asia.) and ((((8 * -2 + 3 * 7) <= (5 ** 3) <= (3 - 1)) or ((2 * 16) > (7 * -2 + -... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 24952575,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. ((not (((-11 * 12) <= (-20 * -4)) or ((35... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (not ((碳的化学符号是Mn。) or ((3 * 9 + 1 * -10) <= (4 - -9) <= (25 % 7))))) or ((瑞士的货币是瑞士法郎。) and (not not ((-12 * -16) > (15 * 0))) and (1912年是闰年。))
B. ((((水在海平面上的沸点是100摄氏度。) or (声音在真空中传播更快。)) or ((银在常温下是固体。) or ((8 - -15) >= (-7 * -8 - 10 * -2)))) or ((2 ** 1) > (4 ** 3))) and (not not ((6 - 8) == (-... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 11352151,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not not (not ((碳的化学符号是Mn。) or ((3 * 9 + 1 * -10) <= (4 - -9) <= (... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. Oxygen is necessary for human survival.
B. (((20 + -13) < (-15 * -14) < (-20 * -1)) or (Plants produce oxygen through photosynthesis.)) and (Humans only use 10% of their brain.)
C. (((20 + 17) >= (5 ** 3)) and (Whales are fish.)) or ((The... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 70003774,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Analyze these boolean expressions:
A. (-2 * 1 + 1 * 8) <= (-17 * -19) <= (13 + -12)
B. (not not ((3 * -5 * -4 * -8) <= (5 - -12) <= (2 * -2 - -10 * -5))) or (((23 % 1) > (-3 * 14)) and ((-9 + 6) == (8 - 18)))
C. Antarctica is the coldest continent.
Which of these evaluate to True? Provide all true option labels separ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 70873424,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (-2 * 1 + 1 * 8) <= (-17 * -19) <= (13 + -... |
logic-v2 | Study the following logical statements:
A. not not (not (not not (not not (((6 % 1) >= (20 + 9)) or (not (88 is a prime number.))))))
B. not ((not (not (not not ((6 * -8 - 1 * -7) <= (4 * -6 - 9 * -10) <= (-18 * 3))))) and ((not ((-5 * -7) <= (3 ** 2) <= (3 - 0))) and ((((-9 - -9) != (0 - -20)) or ((A elephant has 4 l... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 41579339,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (not (not not (not not (((6... |
logic-v2 | 评估以下每个表达式：
A. not ((not ((摩洛哥的首都是华沙。) or (not not ((泰坦尼克号沉没发生在1912年。) and (海王星是距离太阳第4近的行星。))))) or ((not ((not ((-5 - -9) != (-13 * -1))) and (((3 * 0 * 1 * 8) >= (20 * 13)) and ((-18 + -20) == (12 - 4))))) or (not not ((-10 * 9) != (-3 * 1 + 2 * -2))) or (((16 - 0) <= (9 * -6)) and ((土星是距离太阳第7近的行星。) and (钛的化学符号是Ti。))... | {
"game_data": {
"answer": "B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 29659005,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not ((not ((摩洛哥的首都是华沙。) or (not not ((泰坦尼克号沉没发生在1912年。) and ... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((((not not ((52是质数。) or ((-2 * 10 - -8 * -8) != (1 - 17)))) or (not ((丹麦的首都是布达佩斯。) and (狗有100条腿。)))) or ((((泰国的货币是泰铢。) or ((4 * -4 + 3 * 9) > (-9 + -14))) and (not not (2030年是闰年。))) or (not (not (金星是距离太阳第2近的行星。))))) and (not not ((((9 - 9) > (-17 + 16)) and (not ((2 * 5 * 1 * 1) == (-12 - -3))))... | {
"game_data": {
"answer": "D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 6830471,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not not ((((not not ((52是质数。) or ((-2 * 10 - -8 * -8) != (1 -... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((((15 + 0) == (16 - -4)) or (((1 ** 2) < (4 ** 2)) or (The currency of Peru is the Sol.))) and (((4 * -2) == (-9 + -14)) and (((1 * 2 - -10 * 3) < (10 * -7 - 3 * -1)) or (Colombia is in South America.))))
B. not ((not not (30 is a prime number.)) and (((-16 - ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 2284057,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((((15 + 0) == (16 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not (((6 - -2) <= (-18 * -5)) or (金在常温下是固体。))) or ((((沙特阿拉伯位于亚洲。) or (蜘蛛是昆虫。)) and ((2028年是闰年。) or (六月有30天。))) and (((-5 * -1 * -7 * -5) <= (17 % 6) <= (-18 * -4)) or (摩洛哥位于南美洲。)) and ((not not (变色龙是爬行动物。)) and (氖的化学符号是K。)))
B. ((not (not not (英国位于南极洲。))) and ((氖的化学符号是Al。) or ((19 * 9) < (-8 ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 14376352,
"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 (((6 - -2) <= (-18 * -5)) or (金在常温下是固体。))) or ((... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((22 % 10) < (6 * -14))) or (1912年奥运会在伦敦举办。)
B. (not not ((13 + -12) < (-6 - -2))) or (not (南非的货币是瑞士法郎。))
C. (-17 * -9) <= (7 - -9) <= (3 ** 2)
D. (((12 * 2) <= (9 % 5) <= (3 - -20)) and (水蒸气在常温下是气体。)) or ((澳大利亚的货币是澳元。) or (16的平方根是4。))
E. not ((新西兰位于大洋洲。) and ((5 ** 3) > (16 - 4)))
F. (2 - -11) <= (... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 64753481,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (not ((22 % 10) < (6 * -14))) or (1912年奥运会在伦敦举办。)\nB. (not n... |
logic-v2 | Analyze these boolean expressions:
A. (not (not not ((59 is divisible by 11.) or ((-6 * -7 + -7 * -6) < (23 % 3))))) and ((The currency of Argentina is the Zloty.) or ((The capital of Nigeria is Berlin.) or (The chemical symbol for Platinum is Cr.))) and ((not (((4 * 11) < (-10 * 3 - -7 * 10)) and ((14 - -3) <= (5 * 4... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 35743305,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not (not not ((59 is divisible by 11.) or... |
logic-v2 | 评估以下每个表达式：
A. 木星是距离太阳第8近的行星。
B. not ((-7 + -13) > (14 - -7))
C. (not not ((-18 * -12) < (-1 * 3 * 7 * 0))) or ((巴西的货币是新西兰元。) and (196的平方根是2。))
D. (((33 % 4) <= (8 * 2 - -8 * 6)) and (尼日利亚的首都是阿布贾。)) and (((-19 * -16) <= (4 * -2)) and (氧的化学符号是O。))
E. not not (银的化学符号是K。)
F. ((猫有4条腿。) or (匈牙利的首都是布达佩斯。)) and (((6 % 1) > (5... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 19883373,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. 木星是距离太阳第8近的行星。\nB. not ((-7 + -13) > (14 - -7))\nC. (not not ((-18... |
logic-v2 | Examine these expressions:
A. not (((The chemical symbol for Sodium is He.) and (((-15 + 19) != (13 * 8)) and ((2 + 15) <= (17 * 14) <= (17 % 3)))) or (The currency of Thailand is the Rupiah.))
B. (((The chemical symbol for Nickel is Co.) or ((The currency of Switzerland is the Franc.) and ((15 + -13) >= (11 * 3)))) a... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 61981679,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (((The chemical symbol for Sodium is He.) ... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not not ((1 * -7) < (-18 - 4) < (-11 * 7))) and ((南非的货币是兰特。) or ((-2 + 20) != (-2 * 7 - 3 * 5))))
B. ((-15 - 0) < (1 ** 3)) or ((1 % 3) <= (2 ** 1))
C. (第一部iPhone发布发生在2007年。) and (((人体有206块骨头。) and (中国长城是在一年内建成的。)) or (((1 * -4) >= (19 - 17)) and (2012年奥运会在罗马举办。)))
D. ((not ((15 + -1) >= (-8 * -9 *... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 66140616,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not ((not not ((1 * -7) < (-18 - 4) < (-11 * 7))) and ((南非的货币是... |
logic-v2 | 分析以下逻辑表达式：
A. ((not (not not (土耳其的首都是安卡拉。))) and ((not not ((((-15 + -7) < (11 + 19) < (13 + 6)) or (新西兰的货币是新西兰元。)) or ((44 % 3) < (28 % 9)))) or ((not ((4 ** 1) != (8 + 5))) or (((4 ** 2) <= (-5 + 13) <= (-7 - 13)) or (地球是距离太阳第3近的行星。))) or (not (not (not not (2056年是闰年。)))))) and ((not (not not ((-2 * -3) == (-19 + 1)... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 68232889,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((not (not not (土耳其的首都是安卡拉。))) and ((not not ((((-15 + -7) < (11... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((The United States declared independence occurred in 1776.) or (The currency of Argentina is the Zloty.))
B. (-7 * 18) <= (0 + -13) <= (5 + -20)
C. ((1928 is a leap year.) or ((-14 - 15) == (19 + -20))) and (The capital of New Zealand is Wellington.)
Find all exp... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 1632778,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((The United States declare... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((not not (氯的化学符号是Cl。)) or (not (((以色列的货币是谢克尔。) or (16的平方根是1。)) or (((4 ** 3) > (-20 + -4)) or (南极洲是最冷的大陆。)))))) or (not not (not ((((冰在常温下是固体。) or (木头在常温下是固体。)) and ((3 ** 1) <= (1 ** 2))) and ((南非位于非洲。) or (现代奥运会首届举办发生在1896年。)))))
B. ((not not ((((1992年奥运会在巴塞罗那举办。) and (印度尼西亚的首都是雅加达。)) and (not ((... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 61768260,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (not ((not not (氯的化学符号是Cl。)) or (not (((以色列的货币是谢克尔。) or (16的平方根是... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((((8 + 15) >= (4 - 7)) or ((-3 * -5 + -8 * 5) != (19 + -1))) or ((12 % 6) < (16 - -17))) or (not not ((A fish has 100 legs.) or (Humans have three lungs.)))) and ((not not (There are 28 days in September.)) and ((The square root of 121 is 11.) or (The 1932 Olympics w... | {
"game_data": {
"answer": "B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 40112232,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((((8 + 15) >= (4 - 7... |
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