env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Study the following logical statements:
A. ((((The capital of Spain is Madrid.) and (A elephant has 6 legs.)) and ((The chemical symbol for Carbon is Pt.) or ((14 + 7) != (-8 - 17)))) or ((Air is a gas at room temperature.) or (((47 % 9) < (-10 * 9 + 7 * 6)) and ((40 % 10) == (7 + -14))))) or (not not (((86 is a prime... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 68480352,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. ((((The capital of Spain is Madrid.... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((not not ((日本的货币是日元。) and (((5 % 1) == (22 % 6)) and (苏联解体发生在1991年。)))) and (埃及的首都是莫斯科。) and (not not (((3 - -10) < (-1 + 2)) and (not not (秘鲁位于欧洲。)))))) and (not not ((not not (not (not not (一月有29天。)))) and ((((6 - 1) <= (-7 * -2 * 9 * -1) <= (2 * 9 + 9 * -4)) and (人体有150块骨头。)) or (25的平方根是4。)) and... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 73257840,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (not ((not not ((日本的货币是日元。) and (((5 % 1) == (22 % 6)) and (苏联解体... |
logic-v2 | 评估以下每个表达式：
A. (((((俄罗斯的货币是比索。) or (摩洛哥的首都是赫尔辛基。)) or ((8 - 8) > (-10 * -1 * -9 * 1)) or ((((6 * -2 - -4 * 6) == (-14 + -7)) or (碳的化学符号是S。)) or (南非位于亚洲。))) and (((阿根廷的首都是布宜诺斯艾利斯。) and ((法国位于欧洲。) or (火星是距离太阳第1近的行星。))) or (not not ((14 - 2) != (-9 - 15))) or ((银在常温下是固体。) or ((-4 * -10 * 1 * -1) == (20 - 2))))) and (not n... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 59830492,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (((((俄罗斯的货币是比索。) or (摩洛哥的首都是赫尔辛基。)) or ((8 - 8) > (-10 * -1 * -9... |
logic-v2 | 检验这些表达式：
A. (not not (((not not ((9 * -8 * -7 * 3) > (19 + 10))) or (((挪威的首都是布达佩斯。) or ((32 % 1) <= (-6 - 7) <= (6 * 9 * 1 * 4))) or (not not ((6 * -4 + 2 * 1) == (13 + -5))))) and (not not ((澳大利亚位于大洋洲。) and (现代奥运会首届举办发生在1906年。))) and ((((-6 - -20) != (3 * -3)) or ((柏林墙倒塌发生在1990年。) and (苏联解体发生在1991年。))) and ((-9 * 6 +... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 62218489,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not not (((not not ((9 * -8 * -7 * 3) > (19 + 10))) or (((挪威的首都是布达佩... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not (not ((The chemical symbol for Hydrogen is H.) or (((-4 + 13) != (-5 * -1 + 9 * 4)) or ((12 - 2) != (-13 - 10)))))) and ((((The first airplane flight by the Wright Brothers occurred in 1903.) and (The 1960 Olympics were held in ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 85861069,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 下面是几个布尔表达式：
A. (((not (((-9 * -1 - -10 * 2) < (6 - 18)) or ((17 - 10) <= (-3 * 20)))) and ((-2 * -1 * -10 * -1) < (1 ** 3))) or (not (人体有150块骨头。))) and (((((1954年是闰年。) or ((8 % 9) >= (-12 - 11))) or (((29 % 3) > (3 ** 1)) or (1920年奥运会在安特卫普举办。))) or (((沙特阿拉伯位于亚洲。) and (190是奇数。)) or (2008年奥运会在东京举办。))) and (not not (not ... | {
"game_data": {
"answer": "C,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 9128836,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (((not (((-9 * -1 - -10 * 2) < (6 - 18)) or ((17 - 10) <= (-3 ... |
logic-v2 | 审视以下逻辑表达式：
A. 木星是距离太阳第5近的行星。
B. (-4 * 11) < (1 ** 3)
C. not not ((3 - 2) == (-17 * 5))
D. (2 ** 1) >= (14 % 2)
E. 中国的货币是人民币。
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 8577772,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. 木星是距离太阳第5近的行星。\nB. (-4 * 11) < (1 ** 3)\nC. not not ((3 - 2) ... |
logic-v2 | Analyze these boolean expressions:
A. not ((not (not (not (not (1980 is a leap year.))))) or (((not (not not (There are 30 days in September.))) and (not not ((12 is an even number.) or (The chemical symbol for Chlorine is Cl.)))) and (((not not ((9 * -7 * 5 * 8) != (-8 * -5))) and (not (The chemical symbol for Cobalt... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 5528576,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not ((not (not (not (not (1980 is a leap ye... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((not not (((((8 * -7 + 9 * 6) <= (1 ** 3)) and ((-8 * 3) <= (-6 + -15) <= (1 ** 3))) and (Penguins can fly.)) and ((13 * -18) < (0 * 20)))) or (not (((3 - -9) <= (14 * -4) <= (10 * 4)) and ((6 % 5) > (-7 + 17)))))
B. (not not (not not ((not not ((-9 * 14) == (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 61152895,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((not not (((((8 *... |
logic-v2 | Below are several boolean expressions:
A. (There are 30 days in April.) or ((-20 * 9) == (17 + 17)) or ((((-6 - -11) <= (22 % 1)) and (The chemical symbol for Carbon is Fe.)) or (not not (Lightning never strikes the same place twice.)))
B. ((((3 * 8) < (-18 + 19) < (19 % 9)) and (The chemical symbol for Silicon is Si.... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 42886948,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (There are 30 days in April.) or ((-... |
logic-v2 | 下面是几个布尔表达式：
A. not ((not not (((1 * -1 + -4 * 7) == (15 * 16)) or (((声音在真空中传播更快。) or ((-7 * -19) <= (14 % 3))) and (((-19 + 12) < (4 ** 2)) and (铁的化学符号是Fe。))))) and (not not ((地球是距离太阳第3近的行星。) or ((空气在常温下是气体。) or (((-15 + -14) != (5 + 5)) and ((31 % 8) < (13 - 19)))))))
B. not not ((not (not ((not not (越南位于亚洲。)) and ((... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 24046429,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not ((not not (((1 * -1 + -4 * 7) == (15 * 16)) or (((声音在真空中传... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not ((((Neptune is the 8th planet from the Sun.) and ((The currency of Poland is the Zloty.) or ((9 + -1) <= (-13 + 1) <= (-17 - -16)))) or (((Morocco is in Africa.) and ((2 + -1) == (-1 + 15))) or (Saudi Arabia is in Africa.))) or (not (Carbon dioxide is ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 56273616,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not ((((Neptu... |
logic-v2 | Given the following boolean expressions:
A. not (not not (((not not (((0 * -6 * -5 * -2) != (21 % 5)) and (1955 is a leap year.))) and ((The chemical symbol for Phosphorus is K.) or ((19 * -9) <= (49 % 6)))) or ((((A cat is a mammal.) and (Uranus is the 7th planet from the Sun.)) and (91 is a prime number.)) or (not n... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 12958823,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not (not not (((not not (((0 * -6 ... |
logic-v2 | 评估以下每个表达式：
A. (not not (not ((not (新加坡的首都是新德里。)) and (((13 * -12) >= (19 + 3)) or (氧气在常温下是气体。))))) or ((not not ((13 - -20) <= (10 % 7) <= (-12 * -16))) or ((((-8 * -5) >= (-4 + 2)) and ((5 ** 2) < (5 ** 1))) or ((十二月有30天。) and (十二月有31天。))) or ((鳄鱼是爬行动物。) and (((34 % 9) >= (6 * -12)) or ((18 * 1) >= (-9 * 0 + -8 * -7)... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 33164627,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (not not (not ((not (新加坡的首都是新德里。)) and (((13 * -12) >= (19 +... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 变色龙是爬行动物。
B. ((木头在常温下是固体。) and (天王星是距离太阳第5近的行星。)) or (((-3 - 14) <= (15 * -1) <= (7 + 1)) and ((-4 * 8 - 4 * -10) <= (-9 * 15)))
C. (not not (空气在常温下是气体。)) or ((-14 + -1) <= (10 * -19))
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 3138844,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 变色龙是爬行动物。\nB. ((木头在常温下是固体。) and (天王星是距离太阳第5近的行星。)) or (((-3... |
logic-v2 | Review these logical expressions:
A. not (not not (not (((25 % 8) <= (-13 - 7) <= (20 % 3)) or ((The capital of Switzerland is Berlin.) or ((4 ** 1) == (3 * 10 - 10 * 6))) or (The 1920 Olympics were held in Mexico City.))))
B. not ((not ((((-17 - 12) < (5 ** 1) < (-7 * -8 + -4 * 10)) or (Mercury is a gas at room tempe... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 92152586,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (not not (not (((25 % 8) <= (-13 - 7)... |
logic-v2 | 检验这些表达式：
A. not (((not not ((水在常温下是液体。) and (not (水在常温下是液体。)))) and (((not ((3 - 9) == (17 + -1))) or (not ((8 * -1 + 10 * -2) > (-8 * 4 - 7 * 3)))) and (not not (not not (1979年是闰年。))))) and (not not (((((0 - 12) != (13 * 12)) or (埃及的首都是开罗。)) and (1996年奥运会在亚特兰大举办。)) or (not not ((12 * -19) < (-7 + 19) < (8 * 1))) or (... | {
"game_data": {
"answer": "A,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 7347475,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. not (((not not ((水在常温下是液体。) and (not (水在常温下是液体。)))) and (((no... |
logic-v2 | 评估以下每个表达式：
A. 南非的货币是日元。
B. (金星是距离太阳第6近的行星。) or ((16是偶数。) and (1924年奥运会在巴黎举办。))
C. (18 - -6) > (18 - -12)
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 27636491,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. 南非的货币是日元。\nB. (金星是距离太阳第6近的行星。) or ((16是偶数。) and (1924年奥运会在巴黎举办。))\... |
logic-v2 | 考虑以下布尔表达式：
A. not (not ((not not (((螃蟹有10条腿。) and ((-1 + -9) >= (2 - -1))) or (not ((-12 + -2) != (-10 - -16))))) and ((((-19 + 4) < (-10 * -7 + -2 * 0)) or ((-19 + 3) != (2 * -1 - 4 * 7))) and (not (水蒸气在常温下是气体。))) and ((not not (加拿大位于非洲。)) and (76能被11整除。) and (((冰在常温下是固体。) or (2024年奥运会在洛杉矶举办。)) and ((2061年是闰年。) and (... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 86562141,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not (not ((not not (((螃蟹有10条腿。) and ((-1 + -9) >= (2 - -1))) o... |
logic-v2 | Analyze these boolean expressions:
A. not (not ((-10 * 6 - -3 * 9) < (17 % 4)))
B. (not (not (Bats are blind.))) and ((-8 + -19) >= (16 * -1))
C. ((not not (The chemical symbol for Magnesium is Fe.)) and (not not (A lobster has 2 legs.))) or (not not (((1 + -11) >= (5 ** 2)) or ((10 - 13) > (15 - -18))))
Which of the... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 23897929,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not (not ((-10 * 6 - -3 * 9) < (17 % 4)))\... |
logic-v2 | 下面是几个布尔表达式：
A. (((-8 * 0 * 4 * -7) == (15 - -2)) or (鱼有0条腿。) or (((15 + -1) <= (5 ** 3)) and (not not (十二月有31天。)))) or ((not not ((-19 + -7) < (-19 - -15) < (8 % 9))) or (人类有2条腿。))
B. ((第二次世界大战结束发生在1946年。) and (((冰在常温下是固体。) or ((-18 + -1) == (3 * 6 - 0 * 4))) or (2008年奥运会在北京举办。))) and (not (not not (((15 - -9) != (4 *... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 21428061,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (((-8 * 0 * 4 * -7) == (15 - -2)) or (鱼有0条腿。) or (((15 + -1) <= (... |
logic-v2 | 评估以下每个表达式：
A. (((短吻鳄是哺乳动物。) or (((3 ** 1) <= (-8 * -4 * 2 * 6)) or (121的平方根是12。)) or (日本位于非洲。)) or ((not not (((50 % 4) >= (19 - 20)) or ((-6 - -2) >= (2 - 16)))) or ((-2 * -4 + 2 * -2) >= (10 - 12)))) and (not (((-10 + -12) != (2 - 7)) and (金鱼是鱼类。)))
B. not not ((((((10 + 12) <= (6 * 18)) or ((-5 + -14) == (18 - -1))... | {
"game_data": {
"answer": "B,C,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 17555720,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (((短吻鳄是哺乳动物。) or (((3 ** 1) <= (-8 * -4 * 2 * 6)) or (121的平方... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (-18 + 12) <= (19 - 8) <= (-7 * 18)
B. not (((-19 * -15) == (-12 - -13)) or ((10 * 7 + -7 * 2) > (-18 - -11)))
C. (-17 - 17) >= (13 * -4)
D. (not ((2 ** 3) < (21 % 7))) and ((-8 + -8) > (6 * 6 - -10 * -10))
E. (木星是距离太阳第5近的行星。) and ((智利位于亚洲。) and ((-14 + -15) != (35 % 3)))
F. not not (人类是哺乳动物。)... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 55470470,
"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. (-18 + 12) <= (19 - 8) <= (-7 * 18)\nB. not (((-19 ... |
logic-v2 | Review these logical expressions:
A. (not not ((The 1988 Olympics were held in Seoul.) and (not not ((2 * -7 - -3 * 2) >= (19 - 20))))) or (((South Africa is in Europe.) or ((19 % 3) > (-7 + -8))) and (not ((9 + -15) < (8 % 2)))) or (not (not ((Oxygen is necessary for human survival.) and ((7 * -7 - 8 * 2) >= (8 + 3))... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 25627296,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (not not ((The 1988 Olympics were held in S... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. 51 is a prime number.
B. (The currency of South Africa is the Rand.) and (The capital of Brazil is Warsaw.)
C. ((A peacock is a mammal.) or (United Kingdom is in Europe.)) or ((16 - -12) >= (-9 + 6))
D. (-2 * 11) > (16 - -5)
Which option... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 6808386,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA. ... |
logic-v2 | 给定以下布尔表达式：
A. (not not (not not (not not ((氯的化学符号是Cl。) or (not not (声音在真空中传播更快。)))))) and (not ((((not not (101是完全平方数。)) or ((64的平方根是8。) and (人类首次登月发生在1971年。))) or (日本位于亚洲。)) or ((((-11 - -3) != (5 % 4)) or (金在常温下是固体。)) or (水在海平面上的沸点是100摄氏度。)) or ((((法国大革命开始发生在1789年。) and (大象是鸟类。)) and ((锌的化学符号是O。) and (134是完全平方数。))) ... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 63135520,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not not (not not (not not ((氯的化学符号是Cl。) or (not not (声音在真空中传播更快... |
logic-v2 | Below are several boolean expressions:
A. (((-13 - -14) < (-12 - -2)) and (((3 ** 3) >= (20 - -5)) and ((14 % 7) == (-5 + 2))) and ((18 * 14) < (-5 - -20))) or ((The chemical symbol for Titanium is Ti.) or (The chemical symbol for Helium is Pt.))
B. not ((not (A fish has 6 legs.)) or (not (United Kingdom is in North A... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 6347867,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (((-13 - -14) < (-12 - -2)) and (((3 ... |
logic-v2 | Review these logical expressions:
A. not not ((not not (not ((-4 * 1) >= (-5 * -16)))) and (not not (not ((0 * -2 * 2 * 10) >= (-7 - -12)))))
B. not not (not (((The capital of Spain is Amsterdam.) and (not not ((2 * -7) < (7 * -16) < (-1 + -16)))) and ((not not (75 is a prime number.)) or (not ((7 % 9) <= (-5 * 5 - 7 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 38198557,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not ((not not (not ((-4 * 1) >= (-5... |
logic-v2 | Study the following logical statements:
A. (((((9 + 16) != (44 % 5)) or (343 is a perfect square.)) and (not not ((5 ** 1) <= (2 * 3)))) or (((-7 - 4) >= (-17 * -13)) or ((15 - -20) == (6 - -1))) or (((44 is divisible by 2.) and (The chemical symbol for Manganese is Mn.)) or (There are 29 days in August.))) or (not ((... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 52563499,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (((((9 + 16) != (44 % 5)) or (343... |
logic-v2 | 研究以下逻辑语句：
A. (not (not (not not (((32 % 5) <= (5 ** 3) <= (-19 + 20)) and ((13 * -6) < (49 % 7)))))) or ((((((5 ** 1) != (9 * 9)) and (1966年是闰年。)) and (氧气在常温下是气体。)) and ((not not (法国位于亚洲。)) or (not not (铀的化学符号是U。)))) or ((not (((-20 - -8) <= (4 ** 2)) or ((1 ** 2) < (17 + 9)))) or ((1964年奥运会在东京举办。) and (not not ((2 **... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 42849109,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (not (not (not not (((32 % 5) <= (5 ** 3) <= (-19 + 20)) and ((13... |
logic-v2 | 审视以下逻辑表达式：
A. not (((((6 + 15) >= (7 - 14)) or ((9 * 3 - 3 * 3) != (-18 - -1))) and (not not (333是完全平方数。))) or (((-5 * 8 * -9 * 6) < (-15 * -8)) or (蜘蛛是昆虫。)) or (((5 ** 1) >= (-16 - -3)) or ((18 + 12) > (20 + -9))))
B. ((not (not not (捷克的首都是莫斯科。))) and (墨西哥位于北美洲。) and (((澳大利亚的首都是斯德哥尔摩。) and ((7 % 2) > (5 + -18))) or (... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 80009228,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not (((((6 + 15) >= (7 - 14)) or ((9 * 3 - 3 * 3) != (-18 - -1... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((地球绕太阳运转。) and (((724是斐波那契数。) or (129是奇数。)) and (not ((7 % 3) == (-1 * -4 * 2 * -9)))))
B. (not (not not (not not (泰国位于大洋洲。)))) and ((((三文鱼是鱼类。) and ((-2 + -5) <= (18 - 16))) and (((12 + -4) <= (-10 + -18) <= (5 - -11)) or ((25 % 7) <= (3 * -10 + 9 * 2)))) or (not ((空气在常温下是气体。) or ((-8 * 2 + 5 *... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 68968580,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not ((地球绕太阳运转。) and (((724是斐波那契数。) or (129是奇数。)) and (not ((... |
logic-v2 | 评估以下每个表达式：
A. not ((not (铜在常温下是液体。)) or (144的平方根是12。) or ((土星是距离太阳第6近的行星。) and ((2 * 0 * -4 * 10) != (39 % 6))))
B. (((not ((8 * 1 - -2 * -10) > (20 + -2))) or (not (水星是距离太阳第1近的行星。))) and ((((-12 * -7) < (25 % 1)) or (现代奥运会首届举办发生在1896年。)) or (not not ((2 % 10) < (-18 + -10))))) or (not not ((光速比声速快。) and (水在海平面上的沸点是10... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 91907344,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((not (铜在常温下是液体。)) or (144的平方根是12。) or ((土星是距离太阳第6近的行星。) and... |
logic-v2 | 审视以下逻辑表达式：
A. (((((-11 + 6) <= (7 * 14) <= (-18 * -12)) or ((-12 * 9) > (9 * 7))) and (哥伦布到达美洲发生在1492年。)) and (((-10 * 8 + 1 * 3) < (13 - -9)) and (海王星是距离太阳第8近的行星。)) and ((2 ** 1) <= (-10 * -7 * -9 * -2))) or (((((-5 + -9) == (4 ** 2)) and ((4 % 4) == (-19 - -2))) and (not not (蚂蚁有0条腿。))) or (柏林墙倒塌发生在1991年。))
B. (not ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 65385278,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((((-11 + 6) <= (7 * 14) <= (-18 * -12)) or ((-12 * 9) > (9 *... |
logic-v2 | 给定以下布尔表达式：
A. (((((2082年是闰年。) and ((10 * -9 - 9 * 8) <= (21 % 7))) and (((3 ** 1) != (47 % 10)) and ((16 * 13) <= (6 - -8) <= (8 * -7 - 9 * 10)))) or (1924年奥运会在巴黎举办。)) or ((1908年奥运会在洛杉矶举办。) and (not (五月有31天。)) and (((1 * 15) != (5 ** 1)) and (not ((-10 - 8) < (-6 * -7)))))) or (((not (氮气在常温下是气体。)) and ((-6 * 3) <= (15... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 49311990,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (((((2082年是闰年。) and ((10 * -9 - 9 * 8) <= (21 % 7))) and (((3 ** 1... |
logic-v2 | Given the following boolean expressions:
A. not not ((((not not ((-7 * 1 + 10 * -3) >= (-11 * 19))) or (not (The capital of Saudi Arabia is Riyadh.))) and (There are 31 days in August.)) and (not not (not (not ((16 + 16) != (-19 * -13))))))
B. not not ((((Saturn is the 6th planet from the Sun.) and ((-12 * -17) <= (7 ... | {
"game_data": {
"answer": "A,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 93135971,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. not not ((((not not ((-7 * 1... |
logic-v2 | Examine these expressions:
A. The Berlin Wall fell occurred in 1989.
B. Air is a solid at room temperature.
C. ((The capital of Brazil is Brasilia.) or (The currency of Philippines is the Peso.)) and ((-15 * 4) > (9 * 19))
D. (-13 - 5) == (1 ** 3)
E. ((Ice is a solid at room temperature.) or ((-6 * 9 - -8 * 7) <= (7 +... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 92436672,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. The Berlin Wall fell occurred in 1989.\nB. Air... |
logic-v2 | 检验这些表达式：
A. not (((((-2 - -18) != (-2 - -1)) and (1908年奥运会在伦敦举办。)) or (not ((((-17 + -16) < (-1 * -4) < (-2 * -2 - -5 * 10)) or (2078年是闰年。)) and (((19 * 17) == (37 % 5)) and ((0 * 6 - 4 * 9) <= (3 ** 1)))))) and ((not not (((5 ** 2) < (-7 - 16) < (-3 * -2 * -5 * 3)) and (947是斐波那契数。))) and (碳的化学符号是C。)) and (not not (((... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 56271431,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not (((((-2 - -18) != (-2 - -1)) and (1908年奥运会在伦敦举办。)) or (not (... |
logic-v2 | Study the following logical statements:
A. not (The 2012 Olympics were held in Tokyo.)
B. ((The currency of South Korea is the Baht.) or (((3 - -14) >= (-10 - 17)) or ((20 * -19) < (-12 * -10)))) or (Bats are blind.)
C. not (((There are 31 days in July.) or (The currency of United Kingdom is the Pound.)) and (Canada i... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 10684291,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not (The 2012 Olympics were hel... |
logic-v2 | 评估以下每个表达式：
A. not not (((not not (第二次世界大战结束发生在1950年。)) or ((蛇有100条腿。) and (not ((美国宣布独立发生在1776年。) or (2000年奥运会在悉尼举办。))))) or ((not not (尼日利亚位于亚洲。)) and (1912年奥运会在斯德哥尔摩举办。) and ((not not (1912年奥运会在斯德哥尔摩举办。)) or (((-8 + -9) > (30 % 9)) or ((21 % 3) > (0 - 9))))) or (not not ((((1936年奥运会在柏林举办。) and ((7 + 19) <= (9 - 9)))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 8652018,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not (((not not (第二次世界大战结束发生在1950年。)) or ((蛇有100条腿。) and (not ((... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((人类首次登月发生在1979年。) or (太阳绕地球运转。))) or (not (15小于等于74。)) or ((not ((30 % 5) < (-7 - 3) < (-6 + 4))) or (((-16 * -10) <= (-9 + -3)) or (天王星是距离太阳第7近的行星。)))
B. (not (((-4 - -16) == (-15 * 7)) or ((-10 + 17) < (-12 - -18)))) or (not ((14 % 4) >= (2 * -20)))
C. ((not not (48是质数。)) or (巴西的货币是雷亚尔。)) and (捷克... | {
"game_data": {
"answer": "A,B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 37527014,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. (not ((人类首次登月发生在1979年。) or (太阳绕地球运转。))) or (not (15小于等于74。... |
logic-v2 | Given the following boolean expressions:
A. not (not not (((1 ** 3) <= (-6 * -9 + 10 * -2) <= (1 ** 1)) and ((2 * 1 * -8 * 7) == (-4 * -1 - 1 * 0))))
B. ((not not (The capital of Singapore is Brussels.)) and ((The first Olympic Games of modern era occurred in 1896.) and ((4 ** 3) == (2 ** 3)))) and (((20 % 6) > (-4 * ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 34296770,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not (not not (((1 ** 3) <= (-6 * -... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not not ((not (2024年是闰年。)) and ((59能被12整除。) or ((7 * 2) < (9 * 6 - 6 * 1))))) and ((-11 - 15) != (-19 * 0)) and (not (not not (not not ((26 % 8) < (1 - 13) < (2 + -14))))))
B. (((蚂蚁有2条腿。) or ((((11 + -18) <= (0 * 19)) and (镍的化学符号是Fe。)) or (((3 * -13) <= (-10 * -2)) and ((1 - -7) < (12 + 2) < (-... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 83984464,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not not ((not (2024年是闰年。)) and ((59能被12整除。) or ((7 * 2) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (-18 - -13) != (8 * 2 * -10 * 2)
B. (The first airplane flight by the Wright Brothers occurred in 1903.) and ((19 + 17) > (14 % 3))
C. ((The capital of Spain is Madrid.) or (Colombia is in South America.)) or ((932 is a Fibonacci number.)... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 34615998,
"true_count": 6
},
"question": "Evaluate the following boolean expressions and select the ones that are t... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((((8 * 8 - -4 * -6) < (14 + 12)) and ((6 * 3 + -1 * -10) < (-10 * 5 * 6 * 4))) or (The speed of light is approximately 300,000 km/s.))
B. not ((The currency of Hungary is the Forint.) or (The first iPhone was released occurred in 2007.))
C. not not ((-1 * 2 * -6 *... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 86507567,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((((8 * 8 - -4 * -6) < (14... |
logic-v2 | Consider the following logical expressions:
A. not (((-11 - 11) < (40 % 4) < (0 + -14)) or ((The capital of Vietnam is Hanoi.) and (Jupiter is the 3rd planet from the Sun.)))
B. (((1 ** 3) > (27 % 3)) or ((The capital of Romania is Bucharest.) or (The currency of Switzerland is the Peso.))) and ((13 + 15) >= (-15 * -1... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 29224729,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not (((-11 - 11) < (40 % 4) < (... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (The chemical symbol for Oxygen is Fe.)) and (not (The capital of Germany is Hanoi.))
B. ((not not (not (Mercury is a liquid at room temperature.))) or (Light travels faster than sound.)) or (The capital of Colombia is Athens.) or (n... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 35219577,
"true_count": 6
},
"question": "Evaluate the following boolean expressions and select the ones that are t... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((not (not (not ((天王星是距离太阳第7近的行星。) or ((9 * 0 * -5 * 5) > (-2 * -14)))))) or ((not not ((((14 + 6) <= (-5 * 4 + -4 * -3)) and (锌的化学符号是Zn。)) and ((1974年是闰年。) and (2031年是闰年。)))) or ((((8 * 3 - 6 * 6) == (-4 * 7)) and (153是偶数。)) and ((not (越南位于亚洲。)) or (((4 - 11) != (11 + -14)) or ((-4 * 9 + 0 * 7)... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 80797862,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not not ((not (not (not ((天王星是距离太阳第7近的行星。) or ((9 * 0 * -5 * ... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not ((15 + -14) != (-7 * 6)))
B. (36是质数。) or ((袋鼠有2条腿。) or ((-1 * 2 * -10 * -8) < (3 - -4) < (-3 * 1 - -1 * -6)))
C. not not (((-4 * 9 - -10 * 0) != (7 * 10 - 7 * 5)) and (天王星是距离太阳第2近的行星。))
D. (-1 - -8) <= (-19 + -1) <= (-20 - 18)
E. ((17 + -18) <= (16 * 13)) and ((袋鼠有2条腿。) and ((3 + 19) != (18 ... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 22959134,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (not ((15 + -14) != (-7 * 6)))\nB. (36是质数。) or ((袋鼠有2条腿。... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((墨西哥的首都是里斯本。) or ((3 + 5) < (18 * 15)))) or (not (((6 * -2 + 5 * 0) > (18 * 6)) and (短吻鳄是鸟类。)))
B. (not (磷的化学符号是Ag。)) or (not not ((-8 - 6) < (-2 + -5))) or ((第二次世界大战结束发生在1950年。) or ((马是哺乳动物。) or (火星是距离太阳第5近的行星。)))
C. ((((9 * 9 * -1 * -5) >= (12 * -9)) and (加拿大位于非洲。)) or (not not ((-17 + 19) ==... | {
"game_data": {
"answer": "A,B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 82222777,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. (not not ((墨西哥的首都是里斯本。) or ((3 + 5) < (18 * 15)))) or (not... |
logic-v2 | Study the following logical statements:
A. not (not not (not not (((7 * 1 * -2 * 2) == (-5 + -17)) and (not not ((2040 is a leap year.) or ((-16 * 10) >= (16 * 11)))))))
B. not (not ((((not (There are 31 days in May.)) and (((19 + 13) != (5 * 14)) and (There are 30 days in August.))) and (not not (((0 - 16) <= (5 ** 1... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 98033908,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not (not not (not not (((7 * 1 * -2 *... |
logic-v2 | Below are several boolean expressions:
A. (((The capital of Japan is Madrid.) or ((There are 31 days in August.) or ((5 + -19) >= (-3 - -3)))) and (not not (not not (((14 * -3) < (15 - 5)) or ((-12 + 20) <= (19 - -2) <= (-19 + 15)))))) or (((4 * 0) > (13 - 10)) and (Spain is in Oceania.)) or ((((not (The currency of N... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 36946698,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (((The capital of Japan is Madrid.) or... |
logic-v2 | Analyze these boolean expressions:
A. (12 % 10) <= (1 * 7 - 2 * -3)
B. (2069 is a leap year.) and ((World War II ended occurred in 1945.) and ((11 + 16) < (-8 - 19) < (10 - -1)))
C. The chemical symbol for Tin is Mg.
D. The chemical symbol for Cobalt is Al.
Which of these evaluate to True? Provide all true option lab... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 24910648,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (12 % 10) <= (1 * 7 - 2 * -3)\nB. (2069 is... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not ((((-3 * 0 * 6 * 8) >= (10 * -3 - 8 * -7)) or ((14 * 20) < (-5 - 16))) or ((A lion is a fish.) and (69 is divisible by 3.)))) and ((not not (The chemical symbol for Chlorine is Co.)) and ((not not (not (The chemical symbol for Silver... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 60213729,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 评估以下每个表达式：
A. (not not ((((氦气在常温下是气体。) and (天鹅是鸟类。)) and ((挪威的首都是华沙。) or (蝙蝠是瞎的。))) and (三文鱼是鱼类。))) or (not not (((not not ((3 * -11) <= (-19 - -20))) or (not (钻石在常温下是固体。))) or ((not (2087年是闰年。)) and ((摩洛哥的首都是拉巴特。) and ((-3 * 5 * -5 * -8) < (16 - 9) < (8 * -20))))))
B. not not ((((-3 * -6 - 6 * -4) < (-6 * -4)) and ((... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 79874298,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (not not ((((氦气在常温下是气体。) and (天鹅是鸟类。)) and ((挪威的首都是华沙。) or (蝙蝠是瞎的。... |
logic-v2 | Study the following logical statements:
A. Spain is in Africa.
B. (not ((13 + 12) <= (-7 - 5) <= (50 % 10))) and (((38 % 1) == (-10 * 4 - -1 * 0)) and (Mars is the closest planet to the Sun.))
C. ((Helium is a solid at room temperature.) and (Christopher Columbus reached America occurred in 1492.)) and (not not (The 1... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 94195198,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. Spain is in Africa.\nB. (not ((13 + 1... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not (not (((-9 * -2 - -9 * 10) == (-6 * 5 * -1 * 5)) and (The chemical symbol for Carbon is C.))))) and (not not ((((36 % 9) < (7 - -20) < (-18 + -8)) and (Spiders are insects.)) and ((The chemical symbol for Chromium is Cr.) or (Peru is in South America.)))) and ((not (... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 97866092,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not (not (((-9 * -2 - -9 * 1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not not (not (Italy is in North America.))) and (not ((The capital of Australia is Mexico City.) or ((The currency of Israel is the Shekel.) and (Mercury is a solid at room temperature.))))) and ((not ((-7 * 5 - 4 * 9) < (5 ** 2) < (19 ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 79536667,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not (((-8 * 0 * -3 * 0) > (1 - 12)) or (Neptune is the 8th planet from the Sun.)))
B. (not ((4 - -6) < (2 ** 3))) and ((Ice is a solid at room temperature.) or ((-13 - -10) < (2 ** 1) < (-3 * -4 - 3 * -4))) and (The capital o... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 91536015,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Analyze these boolean expressions:
A. Antarctica is the coldest continent.
B. ((-4 * 19) >= (-20 + 16)) or ((A duck is a bird.) and (1987 is a leap year.))
C. (not not (The chemical symbol for Helium is O.)) and (The 1900 Olympics were held in Seoul.)
D. Vietnam is in Antarctica.
E. (2 - 14) > (4 ** 1)
F. not not ((3 ... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 99912535,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. Antarctica is the coldest continent.\n... |
logic-v2 | 给定以下布尔表达式：
A. not (((not not (not (蝙蝠是昆虫。))) or (((1936年奥运会在柏林举办。) or ((1 - 18) < (1 + -6) < (1 * 3 - 3 * 0))) or ((130是斐波那契数。) and (第一次世界大战开始发生在1914年。))) or (not (not not (新加坡的首都是新加坡。)))) or ((((not (越南位于欧洲。)) and ((金星是距离太阳第2近的行星。) or ((-8 + -13) == (11 + 11)))) and (((波兰的货币是兹罗提。) or (秘鲁位于南美洲。)) and (not (哥伦比亚位于南美洲。)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 17907051,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not (((not not (not (蝙蝠是昆虫。))) or (((1936年奥运会在柏林举办。) or ((1 - 18) ... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((((not ((人体有150块骨头。) or (氧气在常温下是气体。))) or ((((0 * 8 + 2 * -8) > (16 - 13)) or ((11 * -9) < (2 ** 2))) or ((空气在常温下是气体。) and (七月有30天。)))) and ((蛇有10条腿。) or ((越南位于亚洲。) or (奥地利的首都是北京。)) or ((2063年是闰年。) and ((0 * 7 * -6 * -2) < (4 * 3 + -3 * -8))))) and (not not (((not (85大于64。)) or (not ((1 ** 3) > ... | {
"game_data": {
"answer": "B,C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 59468501,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not not ((((not ((人体有150块骨头。) or (氧气在常温下是气体。))) or ((((0 * 8 +... |
logic-v2 | 评估以下每个表达式：
A. ((((19 - 2) <= (-15 - 14) <= (4 * -6 - 6 * -4)) or ((9 - 12) == (-19 - -9))) and ((-9 * -4 + 6 * -4) != (5 ** 1))) or (金星是距离太阳第2近的行星。)
B. not not ((4 - -20) < (17 - -4))
C. (人类每只手有五个手指。) and (((9 % 2) >= (4 * 6 - 6 * -7)) or (((0 * -12) != (-1 * 8 + 2 * 3)) and ((14 + 20) < (15 * 14) < (2 - 3))))
D. (钾的化... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 86610808,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. ((((19 - 2) <= (-15 - 14) <= (4 * -6 - 6 * -4)) or ((9 - 12)... |
logic-v2 | 分析以下逻辑表达式：
A. not ((镍的化学符号是Ni。) or ((5 ** 1) == (17 % 4)) or ((-6 + -20) > (-14 + 3)))
B. ((not (1932年奥运会在北京举办。)) or (196的平方根是14。)) and (not not ((not ((14 - -4) < (1 ** 2) < (4 * 13))) or (not not ((-12 * -5) < (-4 + 15)))))
C. (((((5 ** 3) < (9 + -13)) or (1992年奥运会在洛杉矶举办。)) or (not not ((7 + -1) >= (-10 - -10)))) or... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 3043642,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not ((镍的化学符号是Ni。) or ((5 ** 1) == (17 % 4)) or ((-6 + -20) > (-... |
logic-v2 | 考虑以下布尔表达式：
A. ((((3 ** 1) <= (-2 - 14)) and ((11 + 5) < (23 % 5) < (5 ** 3))) or (not not ((2 * 9 - -10 * -8) >= (15 - -2)))) or (欧盟的货币是英镑。)
B. (not not ((1948年奥运会在伦敦举办。) or (82能被4整除。))) and ((33 % 3) == (6 * -16)) and ((((10 - 2) <= (-15 + 11)) or (火星是距离太阳第4近的行星。)) or (阿根廷位于南美洲。))
C. (天王星是距离太阳第7近的行星。) and ((18 - -16)... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 1049844,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((((3 ** 1) <= (-2 - 14)) and ((11 + 5) < (23 % 5) < (5 ** 3))) o... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not (((1 ** 2) >= (-11 + 10)) and (蜘蛛是昆虫。))) and ((3 ** 1) < (42 % 8)) and ((1 ** 2) != (18 + -1))) or (((5 + 14) == (19 * -18)) or (not not (2007年是闰年。)) or ((铂的化学符号是Pt。) and (not (氦气在常温下是液体。))))
B. (not not (((海王星是距离太阳第5近的行星。) or ((-14 - 0) >= (2 ** 1))) and (((17 - 2) < (-20 + 18)) or (人类只使用了大脑... | {
"game_data": {
"answer": "A,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 25483191,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not (((1 ** 2) >= (-11 + 10)) and (蜘蛛是昆虫。))) and ((3 *... |
logic-v2 | Evaluate each expression below:
A. (The capital of Poland is Vienna.) or (Oil is a gas at room temperature.) or ((11 - -4) == (15 % 2))
B. ((2 ** 3) < (28 % 4)) or (not not (The 1956 Olympics were held in Melbourne.)) or ((not not (Penguins can fly.)) and ((The chemical symbol for Calcium is Ne.) and ((17 + -11) <= (-... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 15892423,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (The capital of Poland is Vienna.) or (Oil is... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((1 + 4) != (0 * -4 * 7 * 1))
B. (not not (not ((16 - 12) == (-16 + -20)))) or (The currency of Hungary is the Forint.)
C. ((Gold is a solid at room temperature.) and ((Spiders are insects.) or (Air is a gas at room temperature.))) or (((The capital of Spain is... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 30487773,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((1 + 4) != (0 *... |
logic-v2 | Study the following logical statements:
A. ((World War II began occurred in 1939.) or ((12 + -6) > (-14 + 7))) or (not not ((12 + 3) <= (-12 + -20) <= (0 - -18)))
B. not (not (not not (Diamond is a solid at room temperature.)))
C. (((((1 ** 2) > (-10 - -14)) and ((-3 * 3) == (6 - -18))) or ((The capital of Indonesia i... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 10758132,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((World War II began occurred in ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((1896年奥运会在莫斯科举办。) or (2019年是闰年。))
B. (((2 ** 1) >= (0 * -1 + -2 * 7)) and ((2 ** 3) != (3 ** 1))) or (not ((-19 + -2) <= (18 * 19) <= (0 + 0)))
C. (((38 % 5) < (4 * -8 - -10 * 5)) or ((2 * 11) == (19 * 9))) and (((-8 - 5) <= (6 * 0 * -1 * -8) <= (4 * -16)) and (人类有三个肺。))
D. (2024年奥运会在巴黎举办。... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 90933067,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((1896年奥运会在莫斯科举办。) or (2019年是闰年。))\nB. (((2 ** 1... |
logic-v2 | Examine these expressions:
A. not (((8 + 5) >= (-20 * -9)) and ((5 * -1 - -9 * -9) == (1 - -7)))
B. (The 1928 Olympics were held in Amsterdam.) and (Nigeria is in Asia.)
C. not (not not ((Germany is in Europe.) and (The currency of Colombia is the Peso.)))
D. ((not (2064 is a leap year.)) and (Silver is a solid at roo... | {
"game_data": {
"answer": "A,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 73099099,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. not (((8 + 5) >= (-20 * -9)) and ((5 * -1 ... |
logic-v2 | Given the following boolean expressions:
A. ((not not ((-16 + -17) < (4 ** 1))) or ((39 % 3) <= (16 + 17)) or ((Diamond is a solid at room temperature.) and ((not not (A bird has 2 legs.)) or ((15 + -10) <= (15 - 17) <= (-3 * 8 + -6 * -1))))) and (not (not (Uranus is the 7th planet from the Sun.)))
B. (not (not (The c... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 99617066,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. ((not not ((-16 + -17) < (4 **... |
logic-v2 | Given the following boolean expressions:
A. Carbon dioxide is a gas at room temperature.
B. 330 is a perfect square.
C. (47 % 6) < (1 + 3) < (-3 * 10 * 5 * 3)
D. (((2 - -2) <= (23 % 2)) and (A gecko is a bird.)) and (not not ((5 * 10 + -7 * -3) >= (-13 + -13)))
E. ((1 ** 1) >= (50 % 10)) and ((The 2000 Olympics were h... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 2646566,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. Carbon dioxide is a gas at room tempe... |
logic-v2 | Examine these expressions:
A. not not (not not (The capital of Spain is Madrid.))
B. (not (not ((The capital of Peru is Jakarta.) or (Ice is a solid at room temperature.)))) and ((The capital of Austria is Vienna.) or (not not (((3 - 2) <= (5 ** 1) <= (15 - -20)) or (There are 28 days in March.))))
C. ((((0 * 3) <= (1... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 98735618,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (not not (The capital of Spain is Madrid... |
logic-v2 | 评估以下每个表达式：
A. not (not not (((人类首次登月发生在1969年。) or (((5 ** 1) > (-18 + -10)) and (45大于11。)) or (((伦敦大火发生在1671年。) or ((-16 * -10) <= (10 + -15))) or ((俄罗斯的货币是雷亚尔。) or ((-2 + -2) >= (19 - 7))))) or (((-12 - -2) != (-19 * -1)) and (印度的货币是日元。))))
B. (((((-5 - 5) < (1 + -16)) or ((not ((11 * -17) <= (-16 - 4))) and (土星是距离太阳... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 95703024,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not (not not (((人类首次登月发生在1969年。) or (((5 ** 1) > (-18 + -10)) an... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not ((The capital of South Korea is Seoul.) or (((-5 - -9) == (2 ** 1)) or (Saudi Arabia is in Asia.))))
B. not ((((-10 + 17) != (11 + -20)) or (((18 - 1) == (5 * -6 - 3 * 10)) or ((6 * -6) > (16 * -2)))) or (not ((-7 * 1 + 9... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 64490879,
"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. (-8 - -12) < (2 - 14) < (-4 * -9 - 3 * -2)
B. 铅的化学符号是Mn。
C. 地球绕太阳运转。
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 73062283,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (-8 - -12) < (2 - 14) < (-4 * -9 - 3 * -2)\nB. 铅的化学符号是Mn。\nC... |
logic-v2 | Evaluate each expression below:
A. not (not not (not ((-9 * 2 * 3 * 1) < (-20 - -5))))
B. ((Penguins can fly.) and ((-3 * 4 - 4 * 4) > (-2 + -7))) and ((There are 30 days in June.) and (not ((-18 + -13) > (5 * 20))) and ((2 ** 2) <= (19 + -7)))
C. not (((((14 % 1) > (3 ** 1)) or (93 is less than or equal to 99.)) and ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 54020432,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (not not (not ((-9 * 2 * 3 * 1) < (-20 - ... |
logic-v2 | Study the following logical statements:
A. (0 - -4) >= (3 * 9 + -6 * -5)
B. Russia is in Europe.
C. not not (The currency of Czech Republic is the Won.)
Which statements are true? Put all true option labels in \boxed{}, separated by commas. | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 80351524,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (0 - -4) >= (3 * 9 + -6 * -5)\nB. Rus... |
logic-v2 | 考虑以下布尔表达式：
A. (10 * -19) > (12 - 15)
B. 氧的化学符号是Cu。
C. 龙虾有10条腿。
D. not (not not (49的平方根是8。))
E. (甲虫是昆虫。) or (((-17 - 14) <= (2 * 5 - -7 * -1)) or (43能被4整除。))
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 68906669,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (10 * -19) > (12 - 15)\nB. 氧的化学符号是Cu。\nC. 龙虾有10条腿。\nD. not (no... |
logic-v2 | 研究以下逻辑语句：
A. (not ((24是质数。) and (((3 * 3) > (39 % 10)) and (汞的化学符号是Sn。)))) or ((not ((7 * -9 + -5 * 10) >= (17 + 7))) or (阿根廷位于北美洲。))
B. ((秘鲁位于南美洲。) and ((-18 - -5) < (4 * -10 - 3 * 1))) or ((11 * -5) == (-6 + -15)) or (((5 * -8 - -4 * 0) > (-5 * 19)) or (德国的首都是柏林。))
C. not (not not ((哥伦比亚的首都是波哥大。) or (not not ((9 - 1... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 51104467,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not ((24是质数。) and (((3 * 3) > (39 % 10)) and (汞的化学符号是Sn。)))) o... |
logic-v2 | Study the following logical statements:
A. (not not (not (143 is an odd number.))) or (not not (not (((1 + -2) <= (3 + -5)) or (not not ((14 + -7) >= (9 - 1))))))
B. not not (((Mars is the 4th planet from the Sun.) and ((Jupiter is the 7th planet from the Sun.) or ((11 % 5) > (-17 + 1))) and ((not not (The chemical sy... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 86816070,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (not not (not (143 is an odd nu... |
logic-v2 | 检验这些表达式：
A. (((5 ** 1) >= (1 ** 2)) and ((21 % 1) != (-10 - -12))) and ((((8 * -3 + -2 * 0) <= (-2 * -10)) or (18小于等于18。)) and (not not ((17 - -17) >= (44 % 1))))
B. (((2069年是闰年。) or (猪有0条腿。)) or (not not (肯尼亚位于亚洲。))) or (((-8 * 6 - 0 * 4) < (7 - 13) < (-1 + 4)) and (((20 + -11) < (17 + 18) < (3 - 12)) and ((5 * -11) ... | {
"game_data": {
"answer": "A,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 25037487,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (((5 ** 1) >= (1 ** 2)) and ((21 % 1) != (-10 - -12))) and (((... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((((2 - -17) >= (19 - -14)) or (not (not not (牛有8条腿。)))) and ((not ((-1 * -18) <= (1 + -5))) and ((猫头鹰是鸟类。) and (((16 * 4) < (1 ** 3)) or ((5 ** 1) < (3 + 2)))))) and ((not not (((铁在常温下是固体。) or (蜘蛛是昆虫。)) and ((-5 - 8) == (3 * 9 + -8 * 0)))) or (((韩国位于欧洲。) and ((1 ** 1) != (6 - -1))) and ((-2 ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 74526496,
"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 - -17) >= (19 - -14)) or (not (not not (牛有8条腿。... |
logic-v2 | 研究以下逻辑语句：
A. not not (((not (人体有150块骨头。)) and (((not not (1988年奥运会在阿姆斯特丹举办。)) or ((二月有28天。) or (现代奥运会首届举办发生在1894年。))) or (((2 * -8 + 9 * 3) != (9 * 3 + -1 * 4)) and (not (铀的化学符号是Fe。))))) and (not not (((not not ((-14 - -9) < (-2 + 4))) or (not not (鹰是爬行动物。))) or (((-18 + 19) <= (-2 * -5 + -10 * -2)) and (((2 ** 3) <= ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 8268245,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not (((not (人体有150块骨头。)) and (((not not (1988年奥运会在阿姆斯特丹举办。)) o... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not ((((37 % 10) >= (-3 + 2)) or (South Africa is in Africa.)) and (not ((29 % 9) == (-4 - 10))))) and (not (not (((-8 * 5 - 4 * -6) <= (-7 * -9 - 6 * -3)) and ((14 - -19) >= (16 - -4)))))) or (not ((not not ((-7 * 1 * -3 * 10) >= (-15 ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 87169341,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Below are several boolean expressions:
A. (There are 30 days in April.) or (not ((7 + -11) == (16 * -6)))
B. ((((-1 * 9 * 1 * -10) < (9 + 4)) and (The chemical symbol for Magnesium is Ti.)) or (The chemical symbol for Zinc is Pt.)) or ((10 + -3) != (16 % 10))
C. not not (((7 % 10) == (34 % 2)) or (not not ((3 * -6 + 0... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 56585493,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (There are 30 days in April.) or (no... |
logic-v2 | Analyze these boolean expressions:
A. not not (((not ((37 % 9) <= (4 - -13) <= (-7 * 10 - 4 * 4))) or ((Nitrogen is a gas at room temperature.) and ((2 + -2) < (6 * -16)) and (Water is a liquid at room temperature.))) or (((The currency of Colombia is the Peso.) or (not (((-12 + -18) == (-9 * 3 * 0 * -3)) and ((-11 * ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 35432822,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not (((not ((37 % 9) <= (4 - -13) ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (((The capital of Egypt is Cairo.) or (not not (The currency of Saudi Arabia is the Won.))) or ((The chemical symbol for Lead is N.) and (The chemical symbol for Titanium is Au.)) or ((((4 ** 1) > (-19 - -13)) and ((3 ** 3) <= (-5 * -7 + -10 * 3) <= (37 % 3)))... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 48778321,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (((The capi... |
logic-v2 | 分析以下逻辑表达式：
A. (((not not (加拿大位于北美洲。)) or ((8 * 2 + -3 * -9) <= (-3 - -4))) and (((((-5 + 15) <= (2 + -1)) or (美国宣布独立发生在1776年。)) and (92大于39。)) and ((9 % 8) != (32 % 9)))) or (not (not not ((not (蜘蛛是昆虫。)) and (31是质数。))))
B. ((not not (((尼日利亚的首都是哥本哈根。) and ((0 - 12) > (-17 * 7))) and (((44 % 10) != (-8 * 11)) and ((27 %... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 48518410,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (((not not (加拿大位于北美洲。)) or ((8 * 2 + -3 * -9) <= (-3 - -4))) a... |
logic-v2 | Consider the following logical expressions:
A. ((A dog has 6 legs.) and (((France is in Europe.) and ((-20 + 11) < (17 * -6))) or (((50 % 5) <= (13 + 9)) or ((-1 + 4) >= (13 + 18))))) and (((((11 * -2) > (4 ** 3)) and (Kenya is in Africa.)) and (not (250 is a Fibonacci number.))) and ((7 % 2) != (-16 * 4)))
B. not not... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 99221933,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. ((A dog has 6 legs.) and ... |
logic-v2 | Given the following boolean expressions:
A. (China is in Antarctica.) and (((The chemical symbol for Carbon is Mg.) or (There are 31 days in August.)) or (not (2051 is a leap year.)))
B. (The 1968 Olympics were held in Mexico City.) or ((((4 ** 3) == (10 * 3 * 0 * -3)) and ((-20 * 10) <= (-9 * -3 * 0 * 7))) and (There... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 16517532,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (China is in Antarctica.) and (((T... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((((螃蟹有0条腿。) or ((-10 + -9) > (3 * -4 - -5 * -3))) and (not not (钻石在常温下是液体。))) and (not not (25的平方根是5。)) and (44小于等于78。))) and (not not (((-12 * 10) < (0 * 4 - 10 * -3)) or ((印度的货币是比索。) and (光速约为每秒30万公里。))))
B. not not (((氧气在常温下是气体。) or (((5 ** 3) != (-2 - 10)) and (鲸鱼是鱼类。)) or ((2 % 5) == (3 **... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 70091346,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not not ((((螃蟹有0条腿。) or ((-10 + -9) > (3 * -4 - -5 * -3))) and ... |
logic-v2 | 检验这些表达式：
A. not not ((not not (((48 % 1) != (30 % 10)) or ((水在常温下是液体。) and (泰国位于欧洲。)) or ((((24 % 9) <= (13 + 17) <= (22 % 2)) or (秘鲁位于南美洲。)) or (((18 - 17) <= (9 * 1 - -5 * -5)) and (1971年是闰年。))))) or (not not (((二氧化碳在常温下是气体。) and (not not (美国位于南极洲。))) or ((not not ((19 - -11) >= (15 - 15))) and ((氮的化学符号是O。) and (60是... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 73806807,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not ((not not (((48 % 1) != (30 % 10)) or ((水在常温下是液体。) and (... |
logic-v2 | 分析以下逻辑表达式：
A. ((not not ((not (铜在常温下是液体。)) or ((16 - 2) < (-7 + -11)))) or (((((-5 * 4 * 2 * 1) != (0 + 0)) or (火星是距离太阳第8近的行星。)) and ((-2 * -1 - 10 * -6) < (8 * 6 * -4 * -2) < (0 * -5 + -6 * 8))) or (not not (not not ((-9 * -3) <= (-12 * -8) <= (-9 * -6 + -6 * -8)))))) and (not not (not (not not (not not ((6 % 4) != (... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 63689884,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((not not ((not (铜在常温下是液体。)) or ((16 - 2) < (-7 + -11)))) or (((... |
logic-v2 | 审视以下逻辑表达式：
A. (not (((十一月有29天。) and ((35 % 4) < (0 * 2 * 10 * -6))) or (not (沙特阿拉伯位于亚洲。)))) or (((16 % 1) > (0 * -8 * 6 * 9)) and (土星是距离太阳第6近的行星。) and (泰国的货币是泰铢。))
B. ((((钻石由碳元素组成。) and (第一部iPhone发布发生在2009年。)) or (not not (二氧化碳在常温下是气体。))) or (((-2 - -14) < (5 ** 3)) or (第二次世界大战结束发生在1945年。)) or ((-3 * 0 - 9 * 0) == (1 ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 90964127,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (not (((十一月有29天。) and ((35 % 4) < (0 * 2 * 10 * -6))) or (not (沙特阿... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not (((9 + -8) < (1 * 9 * -5 * 2)) or ((-17 - 6) <= (-14 * -13)))) or ((七月有31天。) and (水在常温下是液体。)) or ((1 ** 1) >= (-18 * -20))
B. (not (蚂蚁有6条腿。)) or ((42 % 1) <= (-8 * 3 + -10 * 8) <= (16 - -19))
C. (二氧化碳在常温下是液体。) and (((20 + 19) <= (-10 * 3 * -7 * 2)) or (埃及位于欧洲。)) and (((土星是距离太阳第4近的行星。) and ((10... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 73160661,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not (((9 + -8) < (1 * 9 * -5 * 2)) or ((-17 - 6) <= (-14 * ... |
logic-v2 | 研究以下逻辑语句：
A. not not (((((((-6 - -16) >= (28 % 10)) or (澳大利亚的货币是澳元。)) and (欧盟的货币是欧元。)) or (钻石由碳元素组成。) or ((not not (菲律宾的首都是拉巴特。)) or (1956年奥运会在安特卫普举办。))) and (((((-19 - -11) != (4 ** 1)) and (56能被12整除。)) or (not not ((14 + 10) < (37 % 7) < (6 - 20)))) and (not not (短吻鳄是爬行动物。)))) and (not (((日本的货币是日元。) or (荷兰的首都是惠灵顿。))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 37573905,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not (((((((-6 - -16) >= (28 % 10)) or (澳大利亚的货币是澳元。)) and (欧盟的货币... |
logic-v2 | Review these logical expressions:
A. The human body has 150 bones.
B. not not ((4 ** 1) != (6 + -9))
C. not (Japan is in Europe.)
D. not not (Wood is a gas at room temperature.)
E. The 1964 Olympics were held in Rio de Janeiro.
Which expressions are true? Answer with comma-separated labels in \boxed{}. | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 10049363,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. The human body has 150 bones.\nB. not not... |
logic-v2 | Study the following logical statements:
A. (((not (The chemical symbol for Manganese is Ca.)) and (Egypt is in North America.)) or ((5 - -19) < (28 % 7)) or (((There are 31 days in July.) and ((3 ** 1) > (15 + -14))) or (not not ((49 % 9) >= (-13 + -1))))) or ((The chemical symbol for Potassium is K.) or (((-7 * 3 - -... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 66042482,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (((not (The chemical symbol for Man... |
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