env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Analyze these boolean expressions:
A. not not (not not ((((-12 * 7) > (-8 * 8 - 4 * 10)) or (not not ((Uranus is the 7th planet from the Sun.) or (Humans have five fingers on each hand.)))) and (not not ((7 * -5 + 0 * 10) != (14 + -20)))))
B. (not (not ((((The capital of Malaysia is Kuala Lumpur.) and (The 1908 Olympi... | {
"game_data": {
"answer": "A,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 47676431,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not ((((-12 * 7) > (-8 ... |
logic-v2 | Evaluate each expression below:
A. (((Mercury is the 1st planet from the Sun.) and (Copper is a solid at room temperature.)) or (not not (Earth is the 3rd planet from the Sun.))) or ((7 + 3) >= (3 ** 3)) or (not (The capital of Switzerland is Brasilia.))
B. (((The 1912 Olympics were held in London.) or (The capital of... | {
"game_data": {
"answer": "A,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 38278494,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. (((Mercury is the 1st planet from the S... |
logic-v2 | Study the following logical statements:
A. not not ((not ((not not ((Oxygen is a solid at room temperature.) and (Neptune is the 8th planet from the Sun.))) or (((15 + -4) != (-5 + 10)) or (1924 is a leap year.)))) and ((not (The Sun revolves around the Earth.)) or (((The capital of Nigeria is Berlin.) or ((-17 + -15)... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 70494707,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not ((not ((not not ((Oxygen is... |
logic-v2 | 检验这些表达式：
A. 俄罗斯的货币是韩元。
B. (-17 * -5) > (-19 - -15)
C. 摩洛哥的首都是加拉加斯。
D. (((-2 + 16) != (19 + 13)) and (铅的化学符号是H。)) or (not not ((-15 - 17) < (4 - 15) < (-12 + -5)))
E. (0 - -20) <= (5 + 1)
F. not ((2008年奥运会在安特卫普举办。) or (现代奥运会首届举办发生在1896年。))
G. (1 * -2) != (2 ** 3)
H. ((蜥蜴是鱼类。) and ((-20 * 19) <= (1 ** 3) <= (-8 * 14))) ... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 48811365,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. 俄罗斯的货币是韩元。\nB. (-17 * -5) > (-19 - -15)\nC. 摩洛哥的首都是加拉加斯。\nD. (((-2... |
logic-v2 | Here are some boolean expressions to evaluate:
A. Sound travels faster in a vacuum.
B. (18 + -14) <= (10 * 5 + -10 * -8)
C. (((-20 + -4) > (-2 - 15)) or (Mexico is in North America.)) and ((20 + -7) < (1 * -9 * 9 * 10))
D. not not (Mars is the 1st planet from the Sun.)
E. (Venus is the 2nd planet from the Sun.) and ((... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 3948395,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. Sound travels faster in a v... |
logic-v2 | 检验这些表达式：
A. not not (not (((1972年奥运会在慕尼黑举办。) or (第一次世界大战开始发生在1914年。) or (not ((猪是哺乳动物。) or (人体有206块骨头。)))) and ((人体有150块骨头。) or (16的平方根是4。))))
B. not (not (((西班牙位于非洲。) and (猫是爬行动物。)) and ((((1 ** 1) == (-3 * 0 * -1 * 10)) or (not (鱼有0条腿。))) and ((not (以色列的货币是新西兰元。)) and ((-3 * -10 + 5 * 5) > (8 + 7))))))
C. 太平洋是最大的海洋。... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 73645394,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (not (((1972年奥运会在慕尼黑举办。) or (第一次世界大战开始发生在1914年。) or (not ((猪... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not (not (铬的化学符号是Cr。))) or (((not not (氮气在常温下是气体。)) or (not (人类首次登月发生在1974年。))) and (((银在常温下是固体。) and (狗是昆虫。)) and (not (水蒸气在常温下是气体。)))) or (not ((((-4 * 2) < (0 * -16) < (-8 - 0)) or (蛇有6条腿。)) and ((67是偶数。) or ((1 ** 2) < (6 + 13) < (-3 - -19))) and (((天王星是距离太阳第7近的行星。) or ((6 - 7) != (17 + 15))) a... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 33865927,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not ((not (not (铬的化学符号是Cr。))) or (((not not (氮气在常温下是气体。)) or... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (not (((-11 + -6) > (21 % 6)) or ((Thailand is in Asia.) and ((9 * 6 - 4 * -9) <= (4 ** 3))))))
B. not (not (((not ((4 ** 2) == (-10 - -13))) or (not (The 2016 Olympics were held in Rio de Janeiro.))) and ((Neptune is the 8th pla... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 51573132,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not (not not ((not ((-4 * 11) == (1 ** 3))) and ((法国位于亚洲。) and ((4 + 5) >= (-15 - -3)))))) and (((((17 % 4) >= (-20 + -19)) and (2074年是闰年。)) or (((-11 * 16) >= (-9 - -7)) and ((-4 * 0 + 9 * 3) != (12 % 6))) or (((-15 + 11) >= (-4 * 1)) or (not not ((38 % 3) <= (-2 * -10 + 8 * -8))))) or (鸟有0条腿。) or... | {
"game_data": {
"answer": "B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 85991978,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not ((not (not not ((not ((-4 * 11) == (1 ** 3))) and ((法国位于... |
logic-v2 | Examine these expressions:
A. not not (((((The currency of Malaysia is the Ringgit.) or (The chemical symbol for Uranium is U.)) and (not not ((10 * 10 * 2 * 9) >= (5 % 2)))) or (((11 - -20) != (38 % 7)) and (not (The capital of Japan is Athens.)))) or (((not not ((4 * -5 * 3 * 1) == (11 - 2))) or (Mexico is in North ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 87872682,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not not (((((The currency of Malaysia is the... |
logic-v2 | 给定以下布尔表达式：
A. not not (((not not ((-18 + -6) > (-2 - -1))) or (((章鱼有8条腿。) or ((2024年奥运会在巴黎举办。) or (氧气对人类生存是必需的。))) or (泰坦尼克号沉没发生在1913年。) or ((not not (1968年奥运会在墨西哥城举办。)) or (((19 * -2) < (16 + -5)) and ((1 ** 1) >= (-7 - 9)))))) or ((((not (苏联解体发生在1992年。)) and (((10 * 5 - 5 * 9) >= (48 % 1)) or ((-10 * 7 * -5 * 1) < (... | {
"game_data": {
"answer": "A,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 47003760,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not not (((not not ((-18 + -6) > (-2 - -1))) or (((章鱼有8条腿。) or... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not ((((((2 - 11) <= (4 ** 1)) or ((35 % 10) <= (-10 * -1 + 5 * 7) <= (3 ** 2))) or (not not ((19 - -11) < (-1 + -2)))) or (25 is less than or equal to 49.)) and ((18 + 18) != (-8 * -2 * 3 * -6)) and (((Spain is in North America.) or... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 70609514,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((not ((not not ((0 * 5) != (0 - -8))) and (((-19 + -17) == (8 + 6)) or (1964年奥运会在慕尼黑举办。)))) or (not ((英国位于欧洲。) and (((8 * -8) <= (1 ** 3)) or ((-3 + 18) <= (-3 * 4 - -3 * 9)))))) or (not not (not not (((1 ** 3) >= (-5 + 1)) and ((30 % 5) >= (14 * 13))))) or ((((10 - -14) > (1 * 18)) and (1984年... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 57149419,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (((not ((not not ((0 * 5) != (0 - -8))) and (((-19 + -1... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((1896年奥运会在雅典举办。) and ((not not ((-16 * -3) <= (2 ** 3) <= (3 - 5))) or ((蝙蝠是瞎的。) and ((3 + -1) <= (-20 * 10))))) or (not (五月有29天。)))
B. (not not ((((新加坡的货币是新加坡元。) and ((-4 * -10 - 2 * 1) > (2 * -9 + -6 * -5))) or (钛的化学符号是Ti。)) or ((-14 + 19) <= (2 + -1) <= (0 * 5 - -9 * 2)))) and ((((47 % 6) > ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 55031340,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not not (((1896年奥运会在雅典举办。) and ((not not ((-16 * -3) <= (2 ** 3)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. A lion is a mammal.
B. ((There are 31 days in October.) and (A spider has 0 legs.)) and ((-8 * -4 - 8 * 3) == (-8 * -8 + -5 * 0))
C. (-7 + -15) >= (-7 * -9)
D. (not (Mercury is the 1st planet from the Sun.)) or (((13 * -9) <= (-7 * -7 + 2 * -6)) and (The capital of Ita... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 76923737,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. A lion is a mammal.\nB. ((Th... |
logic-v2 | 分析以下逻辑表达式：
A. (((4 % 6) < (-2 * -3)) and (696是斐波那契数。)) or (812是斐波那契数。) or ((人类有三个肺。) and (not ((-7 - 4) > (47 % 9))))
B. (1972年奥运会在慕尼黑举办。) and ((5 - -7) >= (13 - 10))
C. (((3 + -16) <= (-8 * 2 * 9 * 1)) or ((4 - 4) <= (-10 * 5 - 8 * -7))) and (((墨西哥的货币是比索。) and (2024年奥运会在巴黎举办。)) and (not (1912年奥运会在东京举办。)))
D. ((7 + 3)... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 38433808,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (((4 % 6) < (-2 * -3)) and (696是斐波那契数。)) or (812是斐波那契数。) or ((人类... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 马有2条腿。
B. not not (((-18 + 10) < (10 * -1 * 10 * -2)) or (哥伦布到达美洲发生在1492年。))
C. 1896年奥运会在雅典举办。
D. (((-8 * -4 - -7 * -6) <= (12 + -5)) and ((9 * 9 * -3 * -10) <= (11 - 18) <= (0 * 9 - 7 * 4))) or (((-9 * 2 + -1 * 4) >= (1 ** 1)) and (狗有4条腿。))
E. (捷克的货币是克朗。) or ((8 * -17) >= (-10 - 16))
F. not not (袋... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 7348457,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 马有2条腿。\nB. not not (((-18 + 10) < (10 * -1 * 10 * -2)) or... |
logic-v2 | Review these logical expressions:
A. not (not not (not ((The capital of Ireland is Dublin.) and (not not ((3 - -5) != (-11 + 14))) and (The capital of Peru is Ottawa.))))
B. not (not not (not (not not (not not (((4 ** 2) > (0 * -10 - -8 * -8)) or ((1 + -7) <= (5 * -10 + 6 * 8) <= (3 * 11)))))))
C. not ((((Saturn is th... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 85357507,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not (not not (not ((The capital of Irel... |
logic-v2 | Review these logical expressions:
A. (((not not (not ((-2 - 13) != (-13 * 20)))) or ((A spider has 8 legs.) or (Penguins can fly.))) and (((-19 + 3) >= (-6 - 20)) and (The currency of Sweden is the Real.) and (not (((-2 * -8 * 5 * -9) < (35 % 3) < (-15 * -13)) or ((-9 * -18) > (-6 * 3)))))) or (not not (not not ((-20 ... | {
"game_data": {
"answer": "C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 69981117,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (((not not (not ((-2 - 13) != (-13 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (not ((1900年奥运会在巴黎举办。) or (南非的货币是林吉特。)))
B. ((((3 * -7 + 1 * 1) < (-13 + -10) < (-3 * -12)) or (1906年是闰年。)) or (((14 * 18) > (18 + 16)) and ((2 ** 2) < (36 % 9) < (-18 * -2)))) or (not not ((-4 - 15) >= (6 * -7 - -6 * -4))) or (秘鲁的首都是内罗毕。)
C. not (not (not ((1 ** 3) != (-4 * -10))))
哪些选项的... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 34146202,
"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 ((1900年奥运会在巴黎举办。) or (南非的货币是林吉特。)))\nB. ((((... |
logic-v2 | 研究以下逻辑语句：
A. (((not not (not not (声音无法在真空中传播。))) and ((7 + -15) >= (17 + 16)) and (not not ((蝙蝠是哺乳动物。) and ((14 - 9) > (-2 * 10 * 6 * 6))))) or (哥伦比亚位于南美洲。) or (not not ((((-3 - 13) == (-18 * 9)) and (137是奇数。)) or ((-10 * -15) <= (-4 - -19) <= (9 * -6 * -7 * -7))))) or (not not (not (not (1的平方根是5。)))) or ((((3 + -20) ... | {
"game_data": {
"answer": "A,B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 80349364,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. (((not not (not not (声音无法在真空中传播。))) and ((7 + -15) >= (17 +... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not ((8 * 8 - 10 * -1) >= (-13 + -13))) or ((鳟鱼是爬行动物。) or ((19 + -20) != (-18 - -20)))) or ((((33 % 9) >= (15 + -5)) and (光速比声速快。)) and (((-10 * 6 * 7 * -1) < (-3 * 0) < (-8 * -6)) or ((7 - -11) < (-9 - 17) < (-19 - 8))))) and ((not not (瑞典的货币是克朗。)) and (not ((海王星是距离太阳第8近的行星。) or ((-6 * 18) <= (... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 26514362,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not ((8 * 8 - 10 * -1) >= (-13 + -13))) or ((鳟鱼是爬行动物。) ... |
logic-v2 | 分析以下逻辑表达式：
A. (-2 + -9) != (-4 + 13)
B. 加拿大的首都是渥太华。
C. (19 % 7) <= (2 + -19)
D. (2 ** 2) >= (45 % 4)
E. (第一部iPhone发布发生在1997年。) and (not (丹麦的货币是克朗。))
F. (-4 * -1 * 10 * -6) > (4 * -10 - -6 * -7)
G. not ((丹麦的货币是克朗。) and ((-10 + 5) == (-8 * -9)))
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": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 64227989,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (-2 + -9) != (-4 + 13)\nB. 加拿大的首都是渥太华。\nC. (19 % 7) <= (2 + ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (((The currency of Czech Republic is the Zloty.) or (The currency of Sweden is the Dollar.)) and (not not ((18 * 19) < (-8 * 3 * 4 * 0))))) and ((227 is a Fibonacci number.) and ((12 * 14) != (10 * -10 * -10 * 6)) and ((((4 * -1) == ... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 82578064,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 考虑以下布尔表达式：
A. 地球是距离太阳第4近的行星。
B. (((-2 * -3 - 5 * -7) == (15 * 12)) or (469是斐波那契数。)) and (蜘蛛是昆虫。)
C. (42 % 6) >= (4 - 16)
D. (((7 * 7 + 6 * 4) < (-8 * 4)) or (第二次世界大战结束发生在1935年。)) or (not not (碳的化学符号是Cl。))
E. ((智利的货币是比索。) and ((-7 - 1) < (-9 - 18))) and ((冰的密度比液态水小。) and ((31 % 2) >= (4 * 5)))
F. not (氧气对人类生存是必需的。)
G. ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 94528243,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. 地球是距离太阳第4近的行星。\nB. (((-2 * -3 - 5 * -7) == (15 * 12)) or (469是斐波那契... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((伦敦大火发生在1666年。) and (猪有8条腿。)) or (((-9 + 18) < (-15 + 8)) and (((9 - -6) != (-3 + -18)) or (1984年奥运会在悉尼举办。))) or (not ((not not (蝙蝠是瞎的。)) and ((金在常温下是固体。) and ((12 - 11) <= (23 % 4)))))) or (((((光速约为每秒30万公里。) and ((-17 + -13) == (-6 * 2 + -5 * -1))) and (油在常温下是液体。)) and ((金的化学符号是Au。) or (地球绕... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 611018,
"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. (((伦敦大火发生在1666年。) and (猪有8条腿。)) or (((-9 + 18) < (-15 +... |
logic-v2 | Study the following logical statements:
A. not ((not ((not not ((The Pacific Ocean is the largest ocean.) or (There are 31 days in December.))) and (not (((8 * -3 * -10 * -2) >= (-14 * 6)) or (There are 30 days in April.))))) or ((not (Indonesia is in Asia.)) and ((not not (30 is less than or equal to 60.)) and ((17 *... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 93616053,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not ((not ((not not ((The Pacific... |
logic-v2 | Evaluate each expression below:
A. not ((((((-20 + -7) <= (-4 * 18)) or (A snake has 0 legs.)) or ((The 1920 Olympics were held in Antwerp.) or (The capital of Russia is Mexico City.))) and (not ((The 1924 Olympics were held in Seoul.) and ((19 + 13) != (7 * 2 + 0 * 6))))) and (not ((119 is an odd number.) and (The Gr... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 14547148,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not ((((((-20 + -7) <= (-4 * 18)) or (A snake... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((The 1908 Olympics were held in Stockholm.) and (not not ((The currency of Czech Republic is the Real.) or (56 is divisible by 5.)))) and (not not (not ((-9 + 6) == (-11 * 4)))) and (((not not (101 is an odd number.)) or (not not (Mars is the closest planet to th... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 36039419,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((The 1908 Olympics wer... |
logic-v2 | Evaluate each expression below:
A. not (not (not not ((6 - -19) < (-1 - 11))))
B. (Nigeria is in Africa.) or (The capital of Australia is Canberra.)
C. (not not ((Oil is a liquid at room temperature.) or (189 is a Fibonacci number.))) and ((not (The currency of United Kingdom is the Pound.)) or (not (The currency of S... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 29582607,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (not (not not ((6 - -19) < (-1 - 11))))... |
logic-v2 | Examine these expressions:
A. The Soviet Union dissolved occurred in 2001.
B. (Iron is a solid at room temperature.) or ((-20 * -17) >= (-10 * 10))
C. not not ((Saturn is the 6th planet from the Sun.) and (The 1984 Olympics were held in Los Angeles.))
D. ((The first iPhone was released occurred in 2007.) or (There are... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 50584613,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. The Soviet Union dissolved occurred in 2001.\n... |
logic-v2 | 给定以下布尔表达式：
A. not ((not ((((169的平方根是13。) and (葡萄牙的首都是雅加达。)) and ((5 ** 3) <= (-16 + -9))) and ((1924年奥运会在巴黎举办。) or (印度的货币是雷亚尔。)) and (((木头在常温下是气体。) or ((-13 + 14) == (15 + 9))) and (((3 * 19) <= (-9 - -16)) or ((19 * -6) >= (11 + 13)))))) and (not (not not (墨西哥的货币是美元。))))
B. not (((not (((-10 * 2 + 8 * 10) <= (19 - -1... | {
"game_data": {
"answer": "D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 58974129,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not ((not ((((169的平方根是13。) and (葡萄牙的首都是雅加达。)) and ((5 ** 3) <=... |
logic-v2 | 考虑以下布尔表达式：
A. not (((现代奥运会首届举办发生在1886年。) or (钻石由碳元素组成。)) or (not not (美国宣布独立发生在1776年。)))
B. (not (not not ((-19 - -20) > (11 * 9)))) or ((人体有206块骨头。) or (((19 - -5) <= (13 - 0) <= (-16 - 3)) or (越南位于欧洲。)))
C. ((((-5 * -9 + 8 * 7) == (4 + -15)) or (哥伦布到达美洲发生在1487年。)) and ((人类首次登月发生在1969年。) or ((13 - -10) == (-19 - 12))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 66086627,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not (((现代奥运会首届举办发生在1886年。) or (钻石由碳元素组成。)) or (not not (美国宣布独立发生在1... |
logic-v2 | Review these logical expressions:
A. (3 ** 2) != (-14 + -6)
B. Kenya is in Africa.
C. 1937 is a leap year.
D. (Colombia is in Africa.) or ((Colombia is in South America.) or ((7 + 1) == (-10 * -10 - -6 * 2)))
Which expressions are true? Answer with comma-separated labels in \boxed{}. | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 3314908,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. (3 ** 2) != (-14 + -6)\nB. Kenya is in A... |
logic-v2 | Here are some boolean expressions to evaluate:
A. The capital of Austria is Vienna.
B. (((-1 * 3 - -6 * -4) <= (10 * 0 - 10 * 9)) or (The capital of Romania is Bucharest.)) or (not not (1975 is a leap year.))
C. (not not (Copper is a gas at room temperature.)) or ((-2 - 7) > (6 * 8 - -4 * 6))
D. ((24 is a prime number... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 691378,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. The capital of Austria is Vi... |
logic-v2 | 下面是几个布尔表达式：
A. (((((0 * -8 * 9 * 9) < (9 * 8 - 0 * 0)) and ((-6 + -1) > (-18 * 17))) and ((2004年奥运会在雅典举办。) or ((-4 + 13) <= (-5 - -14)))) and (not (not not ((3 * -10 + -4 * 8) == (13 * 13))))) or ((变色龙是爬行动物。) and ((46 % 6) > (2 - 6)))
B. (((((15 % 1) < (20 + -10) < (-15 + -12)) or (委内瑞拉的首都是加拉加斯。)) or ((2048年是闰年。) or (... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 4486829,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (((((0 * -8 * 9 * 9) < (9 * 8 - 0 * 0)) and ((-6 + -1) > (-18 * ... |
logic-v2 | 评估以下每个表达式：
A. ((3 * 1 - -10 * -5) > (8 * 6 * 7 * 0)) and (((-6 * 4 + 1 * -1) < (10 * 6 + 5 * 4) < (3 ** 1)) or ((16 - -18) == (9 * -12)))
B. (not not ((-14 * -1) != (8 * -9 * 5 * 9))) or (not (第二次世界大战结束发生在1943年。))
C. not not ((美国位于北美洲。) or ((-12 + 14) == (31 % 4)))
D. (56是质数。) or (日本位于大洋洲。)
E. (二月有30天。) or ((锡的化学符号是Sn... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 99951914,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((3 * 1 - -10 * -5) > (8 * 6 * 7 * 0)) and (((-6 * 4 + 1 * -1)... |
logic-v2 | Consider the following logical expressions:
A. not not (not not ((The United States declared independence occurred in 1776.) and ((A salmon is a reptile.) and ((-13 * 4) <= (2 ** 1))) and (((-14 - -19) == (36 % 3)) or (not not ((-5 - 7) < (11 * 6) < (6 % 5))))))
B. ((not (not not ((2032 is a leap year.) or (Whales are... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 54203323,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not (not not ((The United Sta... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (尼日利亚的货币是新加坡元。)) or (((12 + -16) > (13 + -5)) and ((-6 * -2 + 10 * -3) > (-11 + 6)))) or ((not (鸟有2条腿。)) or (not not ((-14 + 17) == (-6 - 14))))
B. ((4 * 5) > (-1 * 10 * -5 * -5)) or (((2 ** 2) > (-2 * 5 + 10 * 8)) and (蜘蛛是昆虫。)) or (not (not not (澳大利亚的首都是堪培拉。)))
C. (not (not not ((1 * 6 - -10 ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 62439943,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (尼日利亚的货币是新加坡元。)) or (((12 + -16) > (13 + -5)) and ((-6 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((The currency of Indonesia is the Rupiah.) or ((-10 + -10) <= (1 ** 1))) and (not not ((-16 - 7) != (9 * -4 * 1 * 8)))
B. (The first moon landing occurred in 1969.) and (not not (The chemical symbol for Copper is Cu.))
C. not not (((0 * 17) < (2 % 1)) and (Ice is a so... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 68590790,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((The currency of Indonesi... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((1932年奥运会在洛杉矶举办。) or (蜜蜂是昆虫。)) or ((not (not (闪电不会两次击中同一个地方。))) or (not not (人体有150块骨头。)))) or (((not not (埃及的货币是兹罗提。)) and (not not (((40 % 9) == (0 * -5 + 2 * 4)) and ((-17 * 0) < (23 % 5))))) or (not not ((金星是距离太阳第1近的行星。) or (猪有10条腿。))) or (((((38 % 6) >= (-18 - 5)) and ((-4 - -4) >= (3 *... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 4710869,
"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. (((1932年奥运会在洛杉矶举办。) or (蜜蜂是昆虫。)) or ((not (not (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not not ((摩洛哥位于南极洲。) or (370是斐波那契数。))) or ((1924年奥运会在巴黎举办。) and (49是完全平方数。)) or (((土星是距离太阳第1近的行星。) or ((14 * -18) == (-1 * -3 - 6 * 0))) and (not (水星是距离太阳第1近的行星。)))) and (not ((((-9 - -3) < (-13 - -2)) or (蛇是昆虫。)) and (巴西位于南美洲。)))
B. (not not (((4 * -6 * -8 * 5) < (-10 * 9) < (-10 + -7)) and... | {
"game_data": {
"answer": "A,C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 53361419,
"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 ((摩洛哥位于南极洲。) or (370是斐波那契数。))) or ((1924年... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((-1 - 6) == (6 - 8))
B. ((-10 - -1) >= (6 * -8 + 6 * -1)) and (Carbon dioxide is a solid at room temperature.)
C. (Humans only use 10% of their brain.) or (There are 31 days in May.)
Find all expressions that are True. Answer in \boxed{} with labels separated by ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 93993139,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((-1 - 6) == (6 - 8))\nB... |
logic-v2 | 检验这些表达式：
A. not (not not (((not not ((36能被12整除。) and (1900年奥运会在巴黎举办。))) and (((12 * 18) <= (-3 - -4)) or ((-20 + -14) < (-11 + 2))) and ((2069年是闰年。) and (((-11 * 6) == (-12 + 8)) or ((1 ** 3) <= (7 - 13))))) or ((6 + 8) != (-13 * -9)) or (((-8 * -2) > (-6 * -3)) or (((5 * -3) >= (8 % 1)) and (第一次世界大战开始发生在1916年。)) or (... | {
"game_data": {
"answer": "C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 76892679,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not (not not (((not not ((36能被12整除。) and (1900年奥运会在巴黎举办。))) an... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not ((not not (((-7 * 5 + -9 * -4) < (-20 * -6)) or ((34 % 2) < (-8 * -1 * 3 * -5) < (-2 * -8 * 1 * -9)))) and ((-17 * 2) == (3 ** 3)))) and (not (((((15 * -10) == (-6 * -13)) or (A sparrow is a bird.)) and (not (The currency of Philippi... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 31869962,
"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 (not (((not not (((4 + -10) == (-5 * -16)) or ((4 ** 3) >= (4 - -13)))) or ((((-16 + -9) > (-5 + 11)) and ((6 * 17) <= (13 + 7) <= (47 % 3))) or ((秘鲁的货币是奈拉。) or ((-10 + 13) > (-15 + 6))))) and (not (not (((15 * -18) > (-1 - -12)) and (冰的密度比液态水小。))))))
B. not ((not (((-4 * 0) < (-20 - 18)) or ((... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 43245613,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not (((not not (((4 + -10) == (-5 * -16)) or ((4 ... |
logic-v2 | Consider the following logical expressions:
A. ((The capital of New Zealand is Bogota.) or (((United Kingdom is in North America.) and (Peru is in South America.)) or (((9 * 10 * -4 * -6) <= (-19 - 2)) or (30 is an even number.)))) or ((not (not (The currency of Philippines is the Peso.))) or (not not (Antarctica is t... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 47201492,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((The capital of New Zealand ... |
logic-v2 | 研究以下逻辑语句：
A. (not not ((-18 * -12) <= (-6 * 4 * -2 * 7) <= (8 * 4 * 4 * 10))) or ((((人体有150块骨头。) or ((-3 * 5) > (0 * -2))) and (((-5 * 5 + 10 * 0) > (2 ** 2)) or (氧气在常温下是固体。))) and (not (氮气在常温下是固体。)) and (((电流比光速更快。) or (氦气在常温下是液体。)) or (((19 % 10) >= (-6 * -6 * -9 * 7)) or (五月有31天。))))
B. (not (not (((-7 * -10) > (0 ... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 26721701,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (not not ((-18 * -12) <= (-6 * 4 * -2 * 7) <= (8 * 4 * 4 * 10... |
logic-v2 | Below are several boolean expressions:
A. not ((The square root of 225 is 15.) or (((The 1960 Olympics were held in Los Angeles.) or (World War I began occurred in 1914.)) or ((The chemical symbol for Titanium is He.) or (South Korea is in Asia.))))
B. not not ((not not ((7 - 13) <= (7 * 6 + -2 * -4))) or ((not (The B... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 7464863,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not ((The square root of 225 is 15.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((((-1 + 15) != (12 + 1)) and (捷克的货币是克朗。)) and ((3 * 18) == (9 * 7 * 10 * -9)))
B. 地球绕太阳运转。
C. (not not (not not ((21 % 3) < (6 * 8 + 4 * -3) < (-14 + -9)))) or (((-7 * 2) <= (8 + 3) <= (1 + 7)) or ((-5 + 9) < (0 - 7))) or (((钛的化学符号是Ne。) and (钾的化学符号是K。)) and ((2 ** 1) == (10 * 0 + -5 * 5)))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 2924823,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((((-1 + 15) != (12 + 1)) and (捷克的货币是克朗。)) and ((3 * ... |
logic-v2 | 下面是几个布尔表达式：
A. (((((31 % 5) != (2 + 9)) or ((金枪鱼是鱼类。) and (锰的化学符号是Mn。))) or ((not ((5 + -6) < (-16 + -17) < (-6 - 2))) or ((17 * 14) < (3 ** 2)))) or ((((5 * -9 - 4 * 0) == (19 % 2)) or (鱼有100条腿。)) and ((中国的货币是人民币。) and (鲨鱼是哺乳动物。)) and (not not ((水在常温下是液体。) or (22是质数。))))) and (((((-17 + 12) < (3 ** 3)) or (((-5 + 15)... | {
"game_data": {
"answer": "A,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 69854796,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. (((((31 % 5) != (2 + 9)) or ((金枪鱼是鱼类。) and (锰的化学符号是Mn。)))... |
logic-v2 | Below are several boolean expressions:
A. 2095 is a leap year.
B. (not (Lightning never strikes the same place twice.)) and (not not (Uranus is the 7th planet from the Sun.))
C. (not ((10 * -5 * -10 * 8) != (1 ** 1))) or ((-1 - 2) <= (-10 + -2) <= (-11 * 8))
D. (not not (Carbon dioxide is a gas at room temperature.)) ... | {
"game_data": {
"answer": "B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 7660899,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. 2095 is a leap year.\nB. (not (Ligh... |
logic-v2 | Analyze these boolean expressions:
A. not ((100 is divisible by 3.) or (((18 * -1) <= (-4 * -6 + -1 * 6) <= (33 % 1)) or (A spider has 8 legs.)))
B. ((3 * 7 - -9 * -10) <= (2 ** 2)) and (not ((19 - -2) < (-15 - -7))) and (not (not not ((19 - 13) != (-16 - 19))))
C. (not (The first iPhone was released occurred in 2007.... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 41922181,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not ((100 is divisible by 3.) or (((18 * -... |
logic-v2 | 审视以下逻辑表达式：
A. (-11 + 2) <= (-12 * -3) <= (-8 * -8)
B. (((17 - -3) <= (47 % 4) <= (8 * 1 - 0 * 9)) and ((-6 + 15) < (7 * 10))) or ((印度尼西亚的首都是基辅。) or (1912年奥运会在伦敦举办。))
C. (((-1 * -9 + -2 * 0) != (-7 + 18)) or ((3 + 17) > (14 * 11))) or (((-16 * 10) <= (15 + 18) <= (-17 - 1)) or (2062年是闰年。))
D. not not (((-6 * 9 * 0 * -9... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 18797734,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (-11 + 2) <= (-12 * -3) <= (-8 * -8)\nB. (((17 - -3) <= (47 % ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((((2 * -6 + 9 * -4) < (-1 - 19) < (46 % 9)) or ((7 * -7 - -4 * -5) > (28 % 2))) or (猪有8条腿。)) or (not (兔子是哺乳动物。))) or ((((13 * 12) == (19 * -6)) or (((-11 * 13) < (11 - -19) < (4 * -6 + -9 * -1)) and ((-9 * 7 + -2 * -10) < (4 ** 3)))) and (not ((-11 - -3) != (-8 + -3))))) and (((人类首次登月发生在196... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 73223112,
"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. ((((((2 * -6 + 9 * -4) < (-1 - 19) < (46 % 9)) or ((7... |
logic-v2 | 分析以下逻辑表达式：
A. 印度的首都是惠灵顿。
B. 牛有4条腿。
C. 38是质数。
D. 泰国的货币是索尔。
E. (not not (甲虫是哺乳动物。)) or (汞在常温下是气体。)
F. 油在常温下是液体。
G. ((39 % 3) <= (1 * 1 + 0 * 5) <= (20 * -13)) and ((47 % 2) < (-2 + -4) < (13 + 7))
H. (((-20 + 11) >= (-7 * 0)) or ((46 % 1) > (-2 - 9))) and (not (伦敦大火发生在1666年。))
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": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 39460695,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. 印度的首都是惠灵顿。\nB. 牛有4条腿。\nC. 38是质数。\nD. 泰国的货币是索尔。\nE. (not not (甲虫是... |
logic-v2 | Review these logical expressions:
A. (not (Venus is the 2nd planet from the Sun.)) and (Uranus is the 2nd planet from the Sun.)
B. (The chemical symbol for Zinc is Ag.) and (not not (The chemical symbol for Chlorine is Cl.))
C. not not (not ((1 * -7 * 9 * -3) < (19 % 3) < (15 * -14)))
D. Earth is the 5th planet from t... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 35943920,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. (not (Venus is the 2nd planet from the ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. The currency of Mexico is the Krone.
B. not not ((The capital of Austria is Singapore.) or (There are 29 days in July.))
C. (The 1968 Olympics were held in Mexico City.) or (((1 * 20) <= (-3 * -9)) and ((-9 * -6 * -2 * 0) >= (-3 * -10)))
D. (((-4 * 7 * -8 * -7) < (-18 ... | {
"game_data": {
"answer": "C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 51111148,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. The currency of Mexico i... |
logic-v2 | Examine these expressions:
A. (9 % 5) != (-8 * -2 - -8 * -7)
B. (((9 - -15) <= (1 ** 2)) and (6 is greater than 14.)) and (((5 ** 1) >= (12 - 4)) and (The United States declared independence occurred in 1776.))
C. ((-20 - -8) != (-6 * -16)) and (((3 ** 2) == (20 + 17)) and ((4 * 0) != (6 - 16)))
D. Morocco is in Afric... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 95199099,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (9 % 5) != (-8 * -2 - -8 * -7)\nB. (((9 - -15) <... |
logic-v2 | 下面是几个布尔表达式：
A. (not (not not ((蜘蛛有8条腿。) and (人体有150块骨头。)))) or (澳大利亚的货币是澳元。) or (((2008年奥运会在巴黎举办。) or (((-20 - 7) >= (4 * 13)) and ((-20 + 2) < (-6 * 7)))) and ((-11 - 15) <= (4 % 10)) and (((西班牙位于欧洲。) or (金星是距离太阳第2近的行星。)) and ((氧气对人类生存是必需的。) and ((-10 * 8 + -3 * -3) < (5 * 5)))))
B. (not not (((1 % 6) >= (17 % 2)) an... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 76158928,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not (not not ((蜘蛛有8条腿。) and (人体有150块骨头。)))) or (澳大利亚的货币是澳元。) o... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 人类每只手有五个手指。
B. 法国位于亚洲。
C. ((九月有31天。) or ((-8 - 12) != (37 % 4))) or ((-16 - -15) < (5 * -9 + -4 * 3))
D. (-15 * 9) != (-3 - -7)
E. (5 ** 3) != (16 + 11)
F. (越南的首都是河内。) and (not ((7 * 11) != (-18 * 3)))
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,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 38019196,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. 人类每只手有五个手指。\nB. 法国位于亚洲。\nC. ((九月有31天。) or ((-8 - ... |
logic-v2 | 给定以下布尔表达式：
A. (not ((not not (1936年奥运会在蒙特利尔举办。)) and ((((韩国位于亚洲。) or (哥伦布到达美洲发生在1492年。)) or (not ((18 % 7) == (-8 * -13)))) and (227是斐波那契数。)))) or (not not (not not (((((43 % 7) == (16 - 0)) and ((38 % 7) != (-17 + 12))) or (not (氦气在常温下是气体。))) or ((((15 - -19) <= (-19 * -9)) or (1964年是闰年。)) or ((201是完全平方数。) and ((19 +... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 69415600,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not ((not not (1936年奥运会在蒙特利尔举办。)) and ((((韩国位于亚洲。) or (哥伦布到达美洲发生在... |
logic-v2 | Analyze these boolean expressions:
A. ((not not ((Carbon dioxide is a gas at room temperature.) or ((1 ** 2) != (32 % 3)))) or (not not (The chemical symbol for Manganese is Mn.))) and ((not ((not not ((-11 - 17) <= (-13 + 9))) and (not (The capital of Australia is Bogota.)))) or (not (((8 * -2 * 0 * 0) >= (2 * 10 - 1... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 20389856,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not not ((Carbon dioxide is a gas at... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (((not ((132 is an even number.) and (not ((-3 - 5) <= (9 * -6 - 7 * 0) <= (-1 + 9))))) and ((New Zealand is in Oceania.) and (The capital of Romania is Copenhagen.))) or (((not (The 1968 Olympics were held in Mexico City.)) and (((13 - 3) >= (14 - -4)) or (The... | {
"game_data": {
"answer": "D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 43971505,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (((not ((132 is an... |
logic-v2 | 评估以下每个表达式：
A. (not (((not ((中国的货币是人民币。) and (氦气在常温下是气体。))) or ((-10 + 8) <= (7 * 18))) or ((天王星是距离太阳第2近的行星。) and (not not (马来西亚的货币是林吉特。)) and (((九月有30天。) and (木星是距离太阳第5近的行星。)) and (龙虾有10条腿。))))) or (not not (not not (not not ((14 % 1) < (3 ** 3)))))
B. not (not not ((((11 * 12) != (27 % 10)) and ((not (美国宣布独立发生在1776年。... | {
"game_data": {
"answer": "A,B,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 85214943,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (not (((not ((中国的货币是人民币。) and (氦气在常温下是气体。))) or ((-10 + 8) <... |
logic-v2 | 分析以下逻辑表达式：
A. not (not ((((not not (中国长城是在一年内建成的。)) or (((-3 * -5 * -3 * 4) == (29 % 9)) and (越南的货币是克朗。))) and (not (not not ((18 * -19) <= (-20 - 20) <= (-17 - -12))))) and ((not not (((2 ** 1) < (8 * 9 - 5 * 0)) or ((-18 * -4) <= (18 - 7)))) and ((火星是距离太阳第4近的行星。) or ((-3 - -2) < (50 % 10) < (10 * 3))) and (((水星是距离太阳... | {
"game_data": {
"answer": "B,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 68249958,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not (not ((((not not (中国长城是在一年内建成的。)) or (((-3 * -5 * -3 * 4... |
logic-v2 | Review these logical expressions:
A. not not ((((not not (((12 * 13) >= (3 ** 3)) and (Ice is less dense than liquid water.))) and ((not not ((-18 + 6) != (43 % 5))) or (not not (The capital of Saudi Arabia is Riyadh.)))) and (((17 % 10) != (-13 * 13)) or (The Earth revolves around the Sun.))) and (((The chemical symb... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 17456982,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. not not ((((not not (((12 * 13) >= ... |
logic-v2 | Review these logical expressions:
A. not not (not ((((-7 + 16) <= (16 * -6)) or (not not (The Soviet Union dissolved occurred in 1991.))) and ((The first iPhone was released occurred in 2007.) and (((-3 * 8 + 8 * -10) != (-7 * -10 - 10 * -1)) or (not (The capital of Argentina is Buenos Aires.))))))
B. not not ((not no... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 34639214,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not (not ((((-7 + 16) <= (16 * -6)) or ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 1992年奥运会在雅典举办。
B. (巴西位于南美洲。) and ((9 * -5) != (-10 * 4 * 0 * -9))
C. ((51大于69。) or ((-11 - 16) > (5 ** 3))) or (not not ((2 * -6 * 1 * 1) < (1 * -9 + 3 * -4) < (7 * 6 + 3 * -7)))
D. not (not (埃及的货币是埃及镑。))
E. (木头在常温下是固体。) or (not not (水星是距离太阳第7近的行星。))
F. (not ((3 ** 3) == (16 * -1))) and (((-5 ... | {
"game_data": {
"answer": "B,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 10933528,
"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. 1992年奥运会在雅典举办。\nB. (巴西位于南美洲。) and ((9 * -5) != ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (not (九月有30天。))
B. (not (not not ((-7 * -3 * 9 * 10) > (10 - 7)))) or ((-13 - 3) < (-16 * 5)) or (((3 * -7 + -10 * 0) > (-8 + -20)) or (((16 % 7) < (20 + 1) < (13 + 11)) or (not not (电流比光速更快。))))
C. (not ((2 * -3 * -1 * -6) >= (7 - -15))) and (((墨西哥的首都是墨西哥城。) and ((3 % 4) <= (42 % 3) <= (-... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 26336571,
"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 (九月有30天。))\nB. (not (not not ((-7 * -3 * 9... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not ((8 * -10 - -1 * 8) <= (-9 * 6 * -9 * 4))) and ((not ((19 - 1) != (12 - 14))) or (((10 * -11) != (4 ** 1)) or (冰的密度比液态水小。)))) and (not (((铂的化学符号是Pt。) or ((-5 + -9) <= (11 - -19) <= (-6 * 4))) or (波兰的货币是克朗。)))) and ((not not ((17 + 5) == (-9 - 6))) or (((not ((-17 + 20) > (-11 + -16))) or (not ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 8603553,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (((not not ((8 * -10 - -1 * 8) <= (-9 * 6 * -9 * 4))) and ((not (... |
logic-v2 | Review these logical expressions:
A. not ((((Water boils at 100 degrees Celsius at sea level.) and ((4 * -7 - -2 * -6) <= (-7 * -3 * -9 * -1))) and (not not ((Nitrogen is a gas at room temperature.) and (Venus is the 2nd planet from the Sun.)))) and (((not not (The currency of Philippines is the Peso.)) and ((-16 + -1... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 93153641,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not ((((Water boils at 100 degrees Celsius ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (5 * -8 - -6 * -8) <= (28 % 1)
B. (-9 - 2) > (-14 + 14)
C. ((哥伦比亚位于亚洲。) and ((4 * -5 * 6 * 5) < (-7 * 0 + 2 * 8))) or ((10 * -7 - 3 * 9) <= (-8 * 10 - 3 * 7))
D. ((大象有8条腿。) and (肯尼亚的首都是里斯本。)) or ((地球上一天是24小时。) and ((24 % 9) >= (7 * 5 * -2 * 6)))
E. 铝的化学符号是Al。
F. (((1 ** 3) != (1 ** 1)) and ((4... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 10993451,
"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. (5 * -8 - -6 * -8) <= (28 % 1)\nB. (-9 - 2) > (-14 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((28 % 1) == (-2 * -4 - -1 * -4)) or (49的平方根是15。)
B. ((not not ((3 * 4 * -9 * 0) > (11 + 1))) or (1980年奥运会在巴黎举办。)) and ((not (鲸鱼是鱼类。)) and (((3 ** 2) == (8 * -10 - 7 * 3)) and (2012年奥运会在伦敦举办。)))
C. ((人类每只手有五个手指。) or (((-18 * -18) == (4 ** 1)) or ((7 + -10) != (-14 * 11)))) or ((-1 * 6 + 3 * 5)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 17420177,
"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. ((28 % 1) == (-2 * -4 - -1 * -4)) or (49的平方根是15。)\nB. (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not not ((not not ((not ((3 ** 2) >= (-15 + 19))) and (not not (二月有28天。)))) or ((中国长城是在一年内建成的。) or ((not ((6 * 0 * 4 * -3) == (4 - 20))) and ((-2 + -9) <= (6 + -9) <= (17 + -18)))))) and ((not (((10 - 20) >= (3 * -11)) or (181是偶数。))) or ((((1896年奥运会在圣路易斯举办。) and ((16 * 20) > (4 % 1))) or (芬兰的首都是赫尔... | {
"game_data": {
"answer": "A,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 1975839,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not not ((not not ((not ((3 ** 2) >= (-15 + 19))) and ... |
logic-v2 | 研究以下逻辑语句：
A. (not (not (((地球是距离太阳第3近的行星。) or (((3 - 19) <= (14 - 12)) and (莱特兄弟首次飞行发生在1908年。))) or ((1 * -3) >= (4 * 2))))) or (not ((((not not (泰国的首都是赫尔辛基。)) and (not not ((9 % 10) < (-3 * 2) < (5 ** 3)))) and (美国位于北美洲。)) or ((((土星是距离太阳第6近的行星。) or ((2 * 6 - -2 * -6) > (5 * 3 + -5 * 1))) and (not not (天王星是距离太阳第7近的行星。)... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 29809467,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not (not (((地球是距离太阳第3近的行星。) or (((3 - 19) <= (14 - 12)) and (莱... |
logic-v2 | Review these logical expressions:
A. ((not (((The chemical symbol for Manganese is Mn.) or ((30 % 1) >= (0 * 15))) or ((Canada is in North America.) or (Water boils at 100 degrees Celsius at sea level.)))) or (((-7 + 15) < (-9 + -1)) and ((2054 is a leap year.) or ((-18 * -9) <= (10 - -4)))) or ((not (((-9 + -3) >= (5... | {
"game_data": {
"answer": "B,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 57637382,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. ((not (((The chemical symbol for Mangan... |
logic-v2 | Review these logical expressions:
A. (not not (not not ((46 % 7) < (-9 * 5 - 6 * -9) < (3 % 10)))) or ((((((-7 - 1) < (15 + -8)) or ((14 - 11) == (-9 * -2 - 6 * 4))) and (not not (A octopus has 100 legs.))) or (World War I began occurred in 1914.)) or (not not ((not (The 1956 Olympics were held in Stockholm.)) and (Th... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 29396015,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (not not (not not ((46 % 7) < (-9 *... |
logic-v2 | Analyze these boolean expressions:
A. (not (not (not not (((Spain is in Oceania.) and (Vietnam is in Africa.)) and ((-1 + -20) != (15 - 2)))))) and (not ((((not ((15 + 19) == (-7 * 6 - -10 * 2))) or ((A chicken has 0 legs.) and ((-3 - -13) > (-5 * -9 - -4 * 7)))) or ((The square root of 1 is 1.) and ((-6 - -11) >= (6 ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 41829368,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not (not (not not (((Spain is in Oceania.... |
logic-v2 | 检验这些表达式：
A. not not ((((1924年是闰年。) or ((6 - 0) >= (2 * 7)) or (not not ((-11 * 8) != (-11 + 14)))) or (((法国位于欧洲。) or ((12 + 8) < (6 * 4 - -4 * -9))) and ((2008年奥运会在慕尼黑举办。) or (油在常温下是固体。))) or (not (not not (((-11 * -13) <= (-17 + -12) <= (-11 - 8)) and ((17 - -4) < (6 % 4) < (4 * -4 + -5 * -10)))))) and ((not not (美国宣... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 80673159,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not ((((1924年是闰年。) or ((6 - 0) >= (2 * 7)) or (not not ((-... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not (二氧化碳在常温下是气体。)) and (15能被6整除。))
B. ((7 * 7 + -10 * -1) < (17 + -7)) or ((蝙蝠是瞎的。) or (银的化学符号是Ag。)) or (not (not not ((-4 * 3) > (-18 * 12))))
C. (第一次世界大战开始发生在1914年。) and (((12 - 17) < (-20 - 19)) or (1972年奥运会在墨西哥城举办。))
D. not not ((-7 * -1) <= (-7 * -2 * -10 * -4) <= (42 % 3))
E. ((-10 * -... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 88568255,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not (二氧化碳在常温下是气体。)) and (15能被6整除。))\nB. ((7 * 7 + ... |
logic-v2 | Below are several boolean expressions:
A. (31 % 2) != (-7 - -11)
B. (((-19 - -5) < (10 - -13) < (-5 - 16)) and (The capital of Cuba is Mexico City.)) and ((The chemical symbol for Magnesium is Si.) and (The 1984 Olympics were held in Rio de Janeiro.))
C. (32 % 9) == (2 + -19)
D. ((Mercury is the 4th planet from the Su... | {
"game_data": {
"answer": "A,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 7872194,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. (31 % 2) != (-7 - -11)\nB. (((-19... |
logic-v2 | 审视以下逻辑表达式：
A. ((((((4 ** 2) < (6 - 1) < (14 + 19)) or (金在常温下是气体。)) and (not not ((5 - 0) < (9 + 9)))) and (银的化学符号是Ag。)) or (((1 ** 2) == (35 % 6)) or (((土星是距离太阳第5近的行星。) and (蝙蝠是瞎的。)) or (not not (1936年奥运会在亚特兰大举办。))))) or (not (((泰坦尼克号沉没发生在1912年。) or ((1948年奥运会在巴塞罗那举办。) or (闪电不会两次击中同一个地方。))) or (not not (俄罗斯的首都是莫斯科。)) ... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 82032979,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. ((((((4 ** 2) < (6 - 1) < (14 + 19)) or (金在常温下是气体。)) and... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not (((126 is an even number.) or ((-3 * -6 + -2 * 0) < (3 * -10 * 0 * 2))) or ((10 - -16) <= (9 * 10 - 7 * 5)))) and ((The currency of Argentina is the Dong.) and ((The chemical symbol for Uranium is U.) and (((20 - 12) != (2 - 12)) and (The 2016 Olympics were held i... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 47596441,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not (((126 is an even numbe... |
logic-v2 | Study the following logical statements:
A. (not not (((The chemical symbol for Silver is Ag.) or (((4 ** 3) <= (-8 * -13) <= (8 * -6 + 10 * 5)) or ((15 % 7) != (-17 - 17)))) and ((The Earth revolves around the Sun.) and ((-4 + -2) != (-4 * -19))) and (((The chemical symbol for Phosphorus is P.) or ((20 % 5) > (3 * -8 ... | {
"game_data": {
"answer": "A,C,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 51780260,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. (not not (((The chemical symb... |
logic-v2 | 检验这些表达式：
A. 印度尼西亚位于亚洲。
B. ((-1 * 2 - -8 * 2) < (5 * 13) < (3 ** 3)) and ((13 - -19) > (9 * -13))
C. ((49 % 10) != (9 * -10 - 3 * -3)) and ((菲律宾的货币是卢比。) or ((9 * -17) < (7 - 4)))
D. (not (铁在常温下是固体。)) or (((8 + 0) > (26 % 10)) or ((13 * -19) >= (2 ** 3)))
E. ((4 + -6) < (-2 * -3 + 1 * 7)) or ((-7 - 5) == (15 - 9))
F. 水星... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 16467007,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. 印度尼西亚位于亚洲。\nB. ((-1 * 2 - -8 * 2) < (5 * 13) < (3 ** 3)) and... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((蜥蜴是昆虫。) or ((((3 - -10) != (-10 * 10)) or (月球自己发光。)) or ((-6 * -9) == (-1 * 5 - 4 * 8)))) or (((not ((17 - -3) <= (-12 * 17))) or ((6 % 1) != (19 + -18))) or ((碳的化学符号是C。) and ((-6 * 0 * 6 * 9) <= (-9 - 5))) or ((50 % 4) > (-10 * -2 - 0 * 8)))) or (not (not not ((3 + 18) <= (-11 * -7) <= (19... | {
"game_data": {
"answer": "A,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 25706590,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (((蜥蜴是昆虫。) or ((((3 - -10) != (-10 * 10)) or (月球自... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((not (蝴蝶是昆虫。)) and (not ((-4 * 9 * -9 * -10) < (6 * -5 * -7 * 9))))
B. not not ((11 % 9) >= (20 * -3))
C. ((15 % 7) <= (-5 - 16)) or ((1972年奥运会在里约热内卢举办。) or ((-12 - 20) != (14 + 15))) or (((30 % 7) != (18 * -16)) and ((埃及的货币是日元。) or (意大利的首都是罗马。)))
D. (鲤鱼是鱼类。) or (not not ((24 % 8) < (-5 - -16)))... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 56076688,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. not not ((not (蝴蝶是昆虫。)) and (not ((-4 * 9 * -9 * -10) < ... |
logic-v2 | Study the following logical statements:
A. 2062 is a leap year.
B. Vietnam is in Asia.
C. ((-8 * 2 * 5 * 7) != (17 + -13)) or (((-5 + -12) == (-1 * 6 + -7 * 0)) and ((-15 - 15) != (5 * 3 + -8 * -5)))
D. not not ((18 - 4) > (5 ** 1))
E. (The currency of China is the Yuan.) and (((5 ** 2) >= (0 * -13)) or (The chemical ... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 27292863,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. 2062 is a leap year.\nB. Viet... |
logic-v2 | Analyze these boolean expressions:
A. not not ((not (((not not ((14 % 10) >= (10 * -6 - 4 * -9))) and (1967 is a leap year.)) or (not ((The chemical symbol for Iron is Co.) and ((-10 * 8 + -7 * 6) > (-5 * -5 + 4 * 1)))))) and (not not ((((The chemical symbol for Magnesium is Co.) or (The currency of New Zealand is the... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 7901349,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not not ((not (((not not ((14 % 10) >= (10 ... |
logic-v2 | 下面是几个布尔表达式：
A. 苏联解体发生在1991年。
B. not ((-3 * -5) >= (6 * -4 + -1 * -1))
C. not not (not not (钛的化学符号是P。))
D. (not not ((2 ** 1) == (-9 * -10 - -9 * -8))) or ((11 - -20) <= (1 ** 1) <= (6 - 3))
E. (韩国的首都是柏林。) or (((10 * 10) < (4 * 7 + -5 * 8)) and (酒精在常温下是液体。))
F. (not not (汞的化学符号是Al。)) and ((智利位于北美洲。) and (290是完全平方数。))
... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 48617509,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. 苏联解体发生在1991年。\nB. not ((-3 * -5) >= (6 * -4 + -1 * -1))\nC. not n... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((((5 * 3 - -2 * 1) != (3 * 2 - 6 * 5)) or (1999年是闰年。)) or ((海王星是距离太阳第5近的行星。) or ((9 * -1 + -3 * 6) < (-9 * 5 - -4 * 2))))
B. (160是偶数。) or ((十一月有31天。) or (not not (167是偶数。)))
C. (((新加坡的首都是斯德哥尔摩。) and (铜在常温下是气体。)) and ((5 + 17) < (-18 + -5) < (-4 * -10 * -3 * -2))) and ((火星是距离太阳第3近的行星。) or (((-7... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 4384373,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((((5 * 3 - -2 * 1) != (3 * 2 - 6 * 5)) or (1999年是闰年。)) o... |
logic-v2 | Consider the following logical expressions:
A. (0 * -19) == (16 % 8)
B. (17 - 0) <= (11 + -6)
C. (World War I ended occurred in 1918.) or (((-11 * 8) > (17 - 15)) or (The chemical symbol for Copper is Cu.))
Determine which expressions are true. List all true option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 74280157,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (0 * -19) == (16 % 8)\nB. (17 -... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (-2 + 8) <= (-9 + -16) <= (0 * -10)
B. (not not ((6 + -7) == (-4 * -8))) and (Neptune is the 2nd planet from the Sun.)
C. (not not ((3 + 0) <= (12 + 1))) or (not not (Wood is a solid at room temperature.))
D. (((11 * -5) >= (10 * 5 * 7 * -4)) or ((5 * 9 + -5 * -6) > (3... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 14700551,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (-2 + 8) <= (-9 + -16)... |
logic-v2 | 下面是几个布尔表达式：
A. not ((冰在常温下是固体。) or (not not ((韩国的货币是英镑。) or (新西兰位于南美洲。))))
B. (not (35能被3整除。)) and (not (not not ((肯尼亚的首都是利马。) and ((4 - 8) >= (-8 * 8 * -4 * -1)))))
C. not (not ((not not (2012年奥运会在伦敦举办。)) or ((金鱼是鸟类。) or ((-10 + -1) <= (4 * -3 - -8 * -10)))))
D. ((not not ((622是斐波那契数。) and (木星是距离太阳第5近的行星。))) or (not ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 44789582,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not ((冰在常温下是固体。) or (not not ((韩国的货币是英镑。) or (新西兰位于南美洲。))))\nB.... |
logic-v2 | Below are several boolean expressions:
A. ((Oil is a gas at room temperature.) and ((not not ((-3 * -8 - 10 * -9) < (4 - -2) < (4 ** 2))) or ((Earth is the 8th planet from the Sun.) or (The capital of Germany is Berlin.)))) or (not not (Mercury is the 1st planet from the Sun.))
B. not (not (not not ((3 * -8) != (10 - ... | {
"game_data": {
"answer": "A,B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 93433129,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. ((Oil is a gas at room temperatu... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((南非位于非洲。) and ((-3 * 5 - 6 * -1) <= (4 % 2) <= (-2 - -3))) and (((5 - -9) < (5 + -18) < (10 % 8)) and (火星是距离太阳第4近的行星。))) or ((柏林墙倒塌发生在1989年。) and (第一部iPhone发布发生在2007年。)) or (((俄罗斯位于南极洲。) or (钾的化学符号是P。)) and ((-1 + 20) < (5 ** 2)))
B. (2092年是闰年。) and ((not not (第二次世界大战开始发生在1939年。)) or ((三文鱼是鱼类。) o... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 6422817,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((南非位于非洲。) and ((-3 * 5 - 6 * -1) <= (4 % 2) <= (-2 - ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not (not not (40 is divisible by 11.)))
B. (not not (((not not ((-5 * 11) < (-16 - 14))) or (not (Steam is a gas at room temperature.))) or (not (not (Saturn is the 8th planet from the Sun.))))) or (((((-1 * -6) <= (26 % 3)) ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 48712583,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not ((not (十一月有30天。)) and ((2004年奥运会在雅典举办。) or (人类每只手有五个手指。)))) or (132是奇数。) or ((not not (((-19 * -3) >= (2 ** 3)) or ((16 * 0) < (4 * 1 * -8 * 4)))) or (((5 ** 2) < (2 ** 2) < (-9 + 16)) and ((5 ** 1) == (5 - 5))) or (俄罗斯位于欧洲。))) or (not not (not not (((4 ** 2) < (17 * 0)) and ((-16 - 1) == (8 ... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 71765062,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not ((not (十一月有30天。)) and ((2004年奥运会在雅典举办。) or (人类每只手有五个... |
logic-v2 | 研究以下逻辑语句：
A. not not ((not not ((not ((酒精在常温下是液体。) or ((7 % 7) <= (12 * -10)))) and ((not (铂的化学符号是Na。)) and (not (木星是距离太阳第5近的行星。))))) or (((埃及的货币是日元。) or (((1的平方根是15。) or (氧气对人类生存是必需的。)) and ((金星是距离太阳第2近的行星。) or (金星是距离太阳第2近的行星。)))) or ((not not ((锌的化学符号是Zn。) and ((12 + -10) < (14 + -20) < (0 - 8)))) or (((-5 * 9 * -1 ... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 1258053,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not not ((not not ((not ((酒精在常温下是液体。) or ((7 % 7) <= (12 * -10... |
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