env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Analyze these boolean expressions:
A. (not not (not (The first airplane flight by the Wright Brothers occurred in 1903.))) or ((-8 + -9) <= (0 * -4 * 10 * -10)) or (not not (The currency of Singapore is the Forint.))
B. not not ((Gold is a solid at room temperature.) or ((((-8 * -5 * -10 * 2) < (0 + -16) < (-6 * 8 + 2... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 15291061,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not (The first airplane flight... |
logic-v2 | Given the following boolean expressions:
A. 181 is a perfect square.
B. Plants produce oxygen through photosynthesis.
C. (A duck has 2 legs.) and (not ((-1 * -7) > (5 * 0 * -1 * -6)))
D. (11 + 11) <= (3 * -10 + 6 * -5)
Select all that evaluate to True. Put your answer in \boxed{} as comma-separated labels. | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 66613530,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. 181 is a perfect square.\nB. Plants ... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((not not ((29是质数。) or ((8 - 9) == (3 * 6 * 7 * 1)))) and (((45是质数。) and (六月有30天。)) or (1936年奥运会在亚特兰大举办。)))
B. ((((-4 * -5 * -6 * 9) >= (1 ** 2)) and ((蚊子是昆虫。) or ((8 * -8 - 3 * -9) < (3 ** 2) < (-8 * 1 * 7 * 9)))) and ((not (2008年奥运会在北京举办。)) or (not (钻石由碳元素组成。)))) and (((not ((9 * 3 - 7 * -10) <... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 77670894,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not not ((not not ((29是质数。) or ((8 - 9) == (3 * 6 * 7 * 1)))) and ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not not (((1 - -5) == (1 * -20)) and ((-6 * -4 * -8 * 4) != (18 + 16)))) or (not not ((4 * 7 + -3 * -6) <= (10 * 8 + 1 * -9) <= (-15 - -12)))) or (not ((3 * 10) == (2 + 10))) or ((not ((not ((2 ** 2) <= (-7 * -2))) and ((The capital of ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 18504204,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 评估以下每个表达式：
A. not not ((1992年奥运会在巴塞罗那举办。) or ((not not ((12 - 15) != (5 * -7 - -10 * 2))) or ((-17 * 17) != (-8 * 5))))
B. (not (not not ((欧盟的货币是比索。) or (氖的化学符号是Ne。)))) or (not (49的平方根是7。)) or (not not ((16 * 9) <= (-11 - -6) <= (5 - 17)))
C. ((((4 + 11) > (4 ** 3)) or (not ((-9 + -11) >= (15 * 19)))) or ((not ((4 ** ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 56525179,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not ((1992年奥运会在巴塞罗那举办。) or ((not not ((12 - 15) != (5 * -7 -... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not (332 is a perfect square.)) and (Sound cannot travel through a vacuum.) and (((The chemical symbol for Tin is Sn.) and (not (2085 is a leap year.))) and (((Saturn is the 6th planet from the Sun.) or ((6 + 4) >= (-8 + 18))) or (((1 *... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 13582768,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 给定以下布尔表达式：
A. ((((not not ((5 * 10 - 3 * 5) >= (-19 * 7))) or (二月有28天。)) and ((五月有31天。) and ((-4 + -8) > (16 * -17)))) and (not not ((4 ** 2) > (4 ** 3)))) or ((not (((2 ** 2) == (2 * -7 * -5 * -7)) or (哥伦比亚的货币是比索。))) and (((-16 + -1) < (15 * -8)) or (闪电不会两次击中同一个地方。))) or ((not ((not not (1928年是闰年。)) and (((-8 * 12) >... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 46228344,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((((not not ((5 * 10 - 3 * 5) >= (-19 * 7))) or (二月有28天。)) and ((五... |
logic-v2 | Study the following logical statements:
A. (not (((9 * 5 - 8 * -5) == (-15 - -10)) or (The currency of Malaysia is the Dong.) or ((-8 + 14) > (3 ** 1)))) and (not (((((-16 + 19) < (8 + -3) < (13 * 5)) or (Lightning never strikes the same place twice.)) or (((4 ** 1) == (2 ** 2)) or (197 is a perfect square.))) and (no... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 32931355,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (not (((9 * 5 - 8 * -5) == (-15 -... |
logic-v2 | Consider the following logical expressions:
A. (not ((not ((7 * -1 - 3 * 8) < (3 ** 2))) and (((The chemical symbol for Mercury is Zn.) and ((3 ** 3) > (-15 + -10))) and (((-9 * -4) <= (5 * 20) <= (5 ** 3)) or (The 1972 Olympics were held in Stockholm.))))) and (not not (((7 * 19) > (44 % 4)) or (The currency of Unite... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 46460402,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not ((not ((7 * -1 - 3 * 8) ... |
logic-v2 | 检验这些表达式：
A. 苏联解体发生在1991年。
B. (波兰的货币是兹罗提。) and ((氮气在常温下是气体。) or ((3 * 7 - -8 * -1) == (-1 * -1 - -4 * -7)))
C. (not not (十二月有30天。)) and (((4 - -4) > (3 * 0 * 5 * 1)) and (钻石由碳元素组成。))
D. (((-3 * 5 + 5 * -8) >= (11 + -10)) and (银的化学符号是Ag。)) or (not not ((12 + 11) <= (-14 - 20)))
E. not ((波兰的货币是兹罗提。) and (埃及位于欧洲。))
F. ((羊... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 45976358,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. 苏联解体发生在1991年。\nB. (波兰的货币是兹罗提。) and ((氮气在常温下是气体。) or ((3 * 7 - ... |
logic-v2 | 研究以下逻辑语句：
A. ((-18 * 11) <= (-20 + -4)) and ((6 * 2 - -9 * 3) > (-9 * -5 * 3 * 1))
B. not ((企鹅能飞翔。) and (1920年奥运会在安特卫普举办。))
C. (18 * -10) <= (3 ** 3) <= (1 ** 2)
D. not not (((4 * -1 + -7 * 5) < (49 % 8)) and (肯尼亚的首都是内罗毕。))
E. ((硫的化学符号是C。) or (希腊的首都是雅典。)) and ((4 - 11) != (0 * 3 + 8 * -1))
哪些语句为真？在 \boxed{} 中填入所有为真的选... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 61763965,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. ((-18 * 11) <= (-20 + -4)) and ((6 * 2 - -9 * 3) > (-9 * -5 * 3... |
logic-v2 | Here are some boolean expressions to evaluate:
A. A frog has 4 legs.
B. (((-19 * -12) <= (10 - -15)) or (United Kingdom is in Europe.)) and ((Nigeria is in Africa.) and (Italy is in Africa.))
C. (not ((6 * -8 - -4 * 4) != (20 + 12))) or (((10 + -13) <= (-12 * -17)) and ((18 + -3) < (17 + -3) < (15 % 4)))
D. (The squar... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 14704929,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. A frog has 4 legs.\nB. (((... |
logic-v2 | 研究以下逻辑语句：
A. (((铀的化学符号是Mg。) or (89是完全平方数。)) or (地球是距离太阳第3近的行星。)) or (((3 * -6) < (17 * 6)) or ((-20 - 9) <= (3 ** 1) <= (8 * 0 * 8 * 5))) or ((((1 ** 3) <= (0 * -8 - 0 * 5)) or (64大于14。)) or ((2020年奥运会在亚特兰大举办。) or (84是质数。)))
B. ((10 + 3) == (13 - -2)) or (((-5 * -10 - -8 * -7) < (7 * -1 + 3 * -2)) or ((-10 - 7) == (-7... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 3714521,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (((铀的化学符号是Mg。) or (89是完全平方数。)) or (地球是距离太阳第3近的行星。)) or (((3 * -6) < ... |
logic-v2 | 考虑以下布尔表达式：
A. ((人类只使用了大脑的10%。) and (not ((人体有206块骨头。) and ((-20 - 2) <= (17 * -10))))) and (((not not ((-8 + 5) > (4 ** 3))) or (((-1 * -8 + -5 * 8) < (10 * -4 * 4 * -3) < (-7 * -9 * 2 * 9)) and ((50 % 2) >= (-3 * 6 + -5 * -9)))) and ((14 + 15) < (-12 - 10)))
B. not not (((((-4 - 15) > (1 * -4 * -4 * 10)) and ((-16 + ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 73759743,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. ((人类只使用了大脑的10%。) and (not ((人体有206块骨头。) and ((-20 - 2) <= (17 * -1... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((not ((1980年奥运会在莫斯科举办。) or ((9 + -13) < (8 - -6) < (1 * -3 + 5 * 8)))) or (not ((not (not not ((10 * -9 - 2 * -6) <= (5 - -15)))) or ((10 + 6) >= (19 - -4)))))
B. (not not (((((16 % 7) <= (-17 * -14)) and (土星是距离太阳第1近的行星。)) or (((6 % 4) < (-12 * 0)) and (蜘蛛有8条腿。)) or ((16 * 3) <= (-1 - -11) <= (6... | {
"game_data": {
"answer": "A,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 31572116,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not not ((not ((1980年奥运会在莫斯科举办。) or ((9 + -13) < (8 - -6) ... |
logic-v2 | 审视以下逻辑表达式：
A. ((水星是距离太阳第1近的行星。) or (铁的化学符号是Ti。)) and (((-17 - 3) <= (8 + -1)) and (冰的密度比液态水小。))
B. not ((17 % 1) < (12 * 18) < (14 * -12))
C. (not (2001年是闰年。)) or (((4 * -7 * 8 * 4) != (-14 - 19)) or (水星是距离太阳第8近的行星。))
D. ((韩国位于亚洲。) or (太阳绕地球运转。)) and ((现代奥运会首届举办发生在1896年。) and ((1 + 19) >= (-15 - 0)))
E. not ((螃蟹有6条腿。)... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 74829003,
"true_count": 7
},
"question": "审视以下逻辑表达式：\n\nA. ((水星是距离太阳第1近的行星。) or (铁的化学符号是Ti。)) and (((-17 - 3) <= ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((((8 + -12) > (8 * -10 + 2 * -10)) or ((The chemical symbol for Platinum is Pt.) and (A eagle is a bird.))) or ((-15 - -7) < (-2 * 19))) and (not ((3 * -9 * 8 * 6) >= (12 - -20)))
B. ((The Earth revolves around the Sun.) and ((16 * -1) >... | {
"game_data": {
"answer": "A,B,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 42073903,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((not ((2 * 8) > (-17 - 15))) or (not not ((-10 * 9 - 3 * -8) != (-4 + -7)))) and ((8 * 1 * 1 * 4) < (17 - 2))) and ((2008年是闰年。) or ((金在常温下是气体。) or ((银在常温下是固体。) or ((-19 + -6) <= (1 ** 2) <= (4 + 8)))))) or (not ((((声音在真空中传播更快。) and ((0 - 9) != (2 * -8 * -1 * 7))) or ((-5 - 13) != (7 * -6 * 3 * 3... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 44977492,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((not ((2 * 8) > (-17 - 15))) or (not not ((-10 * 9 - 3 ... |
logic-v2 | Given the following boolean expressions:
A. not (Canada is in Africa.)
B. (not (((-14 * 11) != (-13 + -7)) and ((9 * 6 - -2 * -9) < (-12 - -17)))) and ((((-7 * 2 + 8 * 6) < (-10 * 7 * -5 * 8) < (-17 + 20)) or ((-20 * -5) >= (-1 + -5))) and ((1 * 4 + 8 * -10) <= (2 + 2)))
C. ((((9 * 8) >= (17 + -9)) and (Humans have th... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 17512331,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. not (Canada is in Africa.)\nB.... |
logic-v2 | Analyze these boolean expressions:
A. (((Silver is a solid at room temperature.) or (Oxygen is a solid at room temperature.)) and (not not (Carbon dioxide is a gas at room temperature.)) and ((((5 + -8) >= (-9 * -8 * 5 * -6)) or (The capital of Peru is Lima.)) or (The 1964 Olympics were held in Tokyo.))) and ((South K... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 93208250,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (((Silver is a solid at room temperature... |
logic-v2 | 检验这些表达式：
A. 莱特兄弟首次飞行发生在1908年。
B. (6 * 5 * -6 * 2) > (-18 - 1)
C. not ((六月有30天。) or ((6 * 10 + 7 * 4) < (9 * -7 - -8 * 0)))
D. (((47 % 10) > (4 ** 3)) and ((2 ** 3) > (-19 * 8))) or ((鹰是鸟类。) or ((-18 * 13) < (-4 * -10 + -7 * -3) < (5 * -3 * -3 * 6)))
E. (((-9 * 19) != (-7 * 5 + -3 * 5)) and (铅的化学符号是Ni。)) and ((铝的化学符号是A... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 98517866,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. 莱特兄弟首次飞行发生在1908年。\nB. (6 * 5 * -6 * 2) > (-18 - 1)\nC. not ((六月有30... |
logic-v2 | 研究以下逻辑语句：
A. (((4 - 17) == (7 * -5 + 2 * 5)) or ((3 ** 2) != (1 - -12)) or (十二月有31天。)) or ((委内瑞拉的首都是内罗毕。) or ((-2 + 15) != (-11 - 13)))
B. ((not ((中国的首都是哥本哈根。) and (硫的化学符号是S。))) or ((-9 + 15) != (-3 - 5))) and (((-5 + -6) < (11 + 15)) and (((蛇有0条腿。) or (法国大革命开始发生在1787年。)) or ((鹦鹉是昆虫。) or ((14 - 1) > (5 ** 2)))))
C. no... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 56693908,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((4 - 17) == (7 * -5 + 2 * 5)) or ((3 ** 2) != (1 - -12)) or (... |
logic-v2 | Review these logical expressions:
A. The Pacific Ocean is the largest ocean.
B. not ((((Russia is in Europe.) or ((Diamond is a solid at room temperature.) and (Oxygen is a gas at room temperature.))) or (not (((-4 * 6 + -9 * 9) < (13 % 1)) and ((-2 * -1) > (2 ** 3))))) or ((((-15 + 3) >= (-16 - -15)) or (((27 % 5) !=... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 6745739,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. The Pacific Ocean is the largest ocean.\nB. ... |
logic-v2 | 研究以下逻辑语句：
A. (((((5 ** 1) <= (4 * -1 * 4 * 10) <= (32 % 4)) and ((-20 + 20) >= (7 + -6))) or ((67能被10整除。) and (61小于等于60。))) and (意大利位于欧洲。)) and ((火星是距离太阳第4近的行星。) or (((4 % 3) != (40 % 7)) and ((13 - 5) == (5 * -9 * -8 * 3))) or (not ((-5 + -2) <= (-8 * 1 + -6 * 3))))
B. (((-2 * -15) != (-7 - 3)) and (((3 ** 2) > (-18 ... | {
"game_data": {
"answer": "C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 26831515,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (((((5 ** 1) <= (4 * -1 * 4 * 10) <= (32 % 4)) and ((-20 + 20... |
logic-v2 | Evaluate each expression below:
A. (((3 ** 1) != (2 + -1)) or (not not ((A human has 2 legs.) or (The currency of United Kingdom is the Koruna.)))) and (((3 * -1 + -10 * 8) >= (-8 * 7 * -6 * -7)) or (((The square root of 121 is 9.) and (The capital of Denmark is Stockholm.)) or (not (The capital of Portugal is Buchare... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 34853237,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (((3 ** 1) != (2 + -1)) or (not not ((A h... |
logic-v2 | Below are several boolean expressions:
A. (((((2 ** 2) >= (0 - 6)) or (not not (Indonesia is in Asia.))) or (Ice is less dense than liquid water.) or ((-3 * -9) == (-1 - -10))) or (not (not not (not ((-4 - -1) == (14 - -1)))))) and ((not not ((A day on Earth is 24 hours.) and (((-14 + -4) != (-17 + -1)) or (Diamond is... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 99053140,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. (((((2 ** 2) >= (0 - 6)) or (n... |
logic-v2 | 给定以下布尔表达式：
A. (((not not (钴的化学符号是Co。)) and ((3 ** 2) < (11 * 15))) or (not (not (哥伦比亚的货币是新西兰元。)))) and (not not ((4 - 17) >= (16 - -3)))
B. (((((46 % 4) <= (13 + 20)) and (日本的货币是韩元。)) or (木头在常温下是液体。)) and (not not (摩洛哥的首都是布加勒斯特。))) and (((八月有28天。) or (甲虫是昆虫。)) and ((((10 + 7) < (10 + -13)) or (124是斐波那契数。)) or (木星是距离太阳... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 72977095,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (((not not (钴的化学符号是Co。)) and ((3 ** 2) < (11 * 15))) or (not (not ... |
logic-v2 | Study the following logical statements:
A. (((not not ((4 * 1 - -10 * 9) == (5 * -1))) or ((A turtle is an insect.) or ((-13 * -17) != (-14 + 8)))) and (((-8 + -11) <= (-8 * -7) <= (7 * 9 + -10 * 0)) and (The chemical symbol for Zinc is Zn.))) and ((((Water is a solid at room temperature.) and ((-17 * 3) <= (8 * -20))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 53299439,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (((not not ((4 * 1 - -10 * 9) == (5 *... |
logic-v2 | Study the following logical statements:
A. (not not (((2084 is a leap year.) or (Alcohol is a gas at room temperature.)) or ((The capital of Saudi Arabia is Riyadh.) or ((-8 * 9 * 0 * -1) < (4 ** 1))))) or ((((18 + 0) != (-17 * 8)) or (not not (Iron is a solid at room temperature.))) or (((3 ** 2) <= (2 * -14) <= (3 *... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 76607438,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not not (((2084 is a leap year.) o... |
logic-v2 | 评估以下每个表达式：
A. (((((1 ** 3) < (14 + -17)) and (氢的化学符号是Mn。)) or (((1 * 1 - 9 * -2) <= (0 - 5)) or (秘鲁的货币是索尔。))) and (古巴的首都是哈瓦那。)) and (((((9 * -9 - -6 * 3) <= (42 % 8)) and ((17 * -2) < (4 % 2))) and (伦敦大火发生在1665年。)) and (not (一月有28天。)))
B. ((((铂的化学符号是Pt。) and (四月有30天。)) or (not (秘鲁的货币是索尔。))) and (1896年奥运会在雅典举办。)) and (... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 22880047,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (((((1 ** 3) < (14 + -17)) and (氢的化学符号是Mn。)) or (((1 * 1 - 9 *... |
logic-v2 | Consider the following logical expressions:
A. The capital of Thailand is New Delhi.
B. (not (Mars is the 7th planet from the Sun.)) or ((1 ** 1) <= (4 - -6))
C. (((-2 * -3 + 3 * 1) <= (-13 * 19)) and (The capital of Turkey is Ankara.)) or ((2 - 1) <= (15 - -15))
D. not not (((4 * -14) >= (5 - -1)) or (41 is an odd nu... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 4409298,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. The capital of Thailand is New... |
logic-v2 | 研究以下逻辑语句：
A. ((((95能被7整除。) and (((-20 + -15) == (19 - -12)) and ((14 * -10) > (-15 - 13)))) or (澳大利亚位于大洋洲。)) and (not ((3 * 5 * 5 * -4) > (11 * 20)))) and (not not ((((-4 * 2 - 1 * 7) == (-1 * -4 * -1 * 2)) and (丹麦的货币是克朗。)) and (((3 % 7) >= (26 % 10)) and ((-13 * 18) < (-7 * -5 - -8 * -5))))) and (not not ((空气在常温下是气体。... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 7869827,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((((95能被7整除。) and (((-20 + -15) == (19 - -12)) and ((14 * -10) > (-1... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not ((-2 * 2 - -5 * -7) != (1 * 1 - 1 * 1)))
B. not (not not ((日本位于北美洲。) and ((11 * -1) < (18 + 11) < (5 + -13))))
C. ((25的平方根是5。) and ((1 ** 2) > (1 + 13))) or ((((第二次世界大战开始发生在1949年。) or (考拉是哺乳动物。)) or ((13 + 12) < (3 + -8))) or (丹麦的首都是哥本哈根。))
D. (not ((-9 - 1) != (4 * -6 * 3 * -2))) or (((冰的密度... | {
"game_data": {
"answer": "B,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 26139234,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. not not (not ((-2 * 2 - -5 * -7) != (1 * 1 - 1 * 1)))\nB. ... |
logic-v2 | 考虑以下布尔表达式：
A. (not (((-13 + -16) != (10 + 5)) and (硅的化学符号是Si。))) and ((not ((18是完全平方数。) and (((-10 + -9) > (22 % 9)) or ((8 * -2 - -4 * 3) != (16 % 9))))) or (((not not ((-8 * -12) == (17 - -3))) or (月球自己发光。)) and (人类有三个肺。)))
B. ((((((14 - -8) != (-2 + -17)) and (月球绕地球运转。)) or (海王星是距离太阳第8近的行星。)) or ((爱尔兰的首都是都柏林。) or (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 28112148,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. (not (((-13 + -16) != (10 + 5)) and (硅的化学符号是Si。))) and ((not ((18是... |
logic-v2 | Examine these expressions:
A. not (((not ((((0 * 8) == (12 + 15)) and (The Sun revolves around the Earth.)) and ((19 - -7) < (14 + 14)))) or (not ((not (Mercury is the 1st planet from the Sun.)) or ((The chemical symbol for Magnesium is Mg.) and (The capital of Cuba is Brussels.))))) or (not (((((-18 - 0) >= (10 * 8))... | {
"game_data": {
"answer": "D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 40206918,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (((not ((((0 * 8) == (12 + 15)) and (The S... |
logic-v2 | Given the following boolean expressions:
A. ((not not (Thailand is in Antarctica.)) and (not (not (China is in Africa.)))) and (not not ((-6 + -9) <= (7 * 7))) and (not ((The chemical symbol for Iron is Fe.) or ((((1 - -6) < (18 * 13)) and (A iguana is a reptile.)) and (((17 * 8) < (19 + 1)) and ((16 + 0) != (-7 - 4))... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 65318688,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((not not (Thailand is in Antarc... |
logic-v2 | 分析以下逻辑表达式：
A. (not not ((not not (中国位于亚洲。)) or (人类有三个肺。))) and (not not (((4 ** 2) == (47 % 8)) and (not (木头在常温下是气体。)) and ((4 * 8 + 10 * 8) >= (-19 + 20))))
B. (((not (((-6 * -11) != (-7 * 11)) or (第二次世界大战结束发生在1947年。))) and (((42 % 4) >= (17 + -19)) or (1969年是闰年。)) and (第二次世界大战结束发生在1946年。)) and ((31 % 8) >= (4 ** 2))... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 31662750,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (not not ((not not (中国位于亚洲。)) or (人类有三个肺。))) and (not not (((4 *... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((加拿大的货币是印尼盾。) or ((1 - -12) <= (-13 * -6)))
B. ((not (火星是距离太阳第6近的行星。)) and (not not ((20 + 3) <= (4 + -20)))) or (not not ((海王星是距离太阳第8近的行星。) or ((1 + 10) > (-20 + -19))))
C. not not (((33 % 3) == (19 % 7)) and (((6 * -7 - -9 * 7) > (-10 * -7 * 7 * -6)) or (56是质数。)))
D. (((木星是距离太阳第6近的行... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 19803951,
"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 ((加拿大的货币是印尼盾。) or ((1 - -12) <= (-13 * -6))... |
logic-v2 | Given the following boolean expressions:
A. (not ((Oil is a solid at room temperature.) and (((1 ** 3) == (-15 * -5)) or (The 1948 Olympics were held in Los Angeles.)))) and (((-5 - 14) >= (-5 - -3)) and (((12 - 2) < (6 * 5 + -2 * 5)) or ((3 - -11) <= (0 * 6 - 1 * -7)))) and ((not (The chemical symbol for Magnesium is... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 23623524,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not ((Oil is a solid at room temp... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (not ((not not (not not (Uranus is the 7th planet from the Sun.))) and (((The currency of Czech Republic is the Pound.) and (United Kingdom is in Europe.)) or ((2038 is a leap year.) and (The square root of 16 is 4.))))))
B. not (not ((((((9 + 14) == (5 * ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 28358626,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (not ((not not ... |
logic-v2 | 考虑以下布尔表达式：
A. (44是偶数。) or ((((-14 - 20) >= (1 ** 3)) or (莱特兄弟首次飞行发生在1901年。)) or ((-4 * 7) > (0 * -13)))
B. (((1964年奥运会在东京举办。) and ((-1 * -2 + 0 * 8) < (17 - -19) < (10 * -5 - 5 * -7))) or ((54是质数。) or (老鼠是鱼类。))) or ((镍的化学符号是H。) or ((7 % 3) != (20 + 15))) or ((((3 ** 2) > (-5 - -11)) or ((-13 * 7) == (3 - 18))) and (((... | {
"game_data": {
"answer": "A,B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 77427811,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. (44是偶数。) or ((((-14 - 20) >= (1 ** 3)) or (莱特兄弟首次飞行发生在1901... |
logic-v2 | Review these logical expressions:
A. not not ((not ((10 + 14) >= (-5 * 6 - 4 * -2))) and ((((-3 * -4 + -10 * 2) > (13 * -9)) and ((30 % 4) <= (-14 - 16) <= (-18 + 15))) or (not ((11 + -3) == (13 * -6)))) and (((7 * 8 + -6 * -10) < (10 * 1 * -8 * -5)) and (not (not not ((6 + 3) == (16 * -13))))))
B. not (not ((not (The... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 25836608,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not ((not ((10 + 14) >= (-5 * 6 - 4 * -... |
logic-v2 | 研究以下逻辑语句：
A. ((((墨西哥位于欧洲。) and ((-2 * -2 - 1 * -7) <= (19 * -9) <= (5 + -16))) or (哥伦布到达美洲发生在1487年。)) and (铁在常温下是固体。)) and (((((5 - -20) > (4 ** 3)) or (委内瑞拉的首都是阿姆斯特丹。)) or ((人体有206块骨头。) or (泰坦尼克号沉没发生在1912年。))) or ((蝴蝶是爬行动物。) or (荷兰的首都是安卡拉。)) or (not not ((169的平方根是1。) and ((16 % 10) > (9 * 4)))))
B. (((21 % 7) >= (1 *... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 60315260,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((((墨西哥位于欧洲。) and ((-2 * -2 - 1 * -7) <= (19 * -9) <= (5 + -16))) o... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((狗有4条腿。) or (42是质数。)) or (not (阿根廷的货币是比索。))) and (((14 - -15) == (-15 - -13)) or (秘鲁位于南美洲。)) and (土耳其的首都是加拉加斯。)) or (not not (((1914年是闰年。) and ((-2 * -10) == (2 ** 1))) and (((-18 * 17) == (0 * 6)) or ((5 * -9 + -3 * -9) < (-5 * -5 * 9 * -3) < (10 * 6 + -4 * -3)))))
B. ((not (冰在常温下是气体。)) an... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 84043890,
"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. ((((狗有4条腿。) or (42是质数。)) or (not (阿根廷的货币是比索。))) and... |
logic-v2 | 给定以下布尔表达式：
A. not (not not (((太阳绕地球运转。) and (((埃及位于非洲。) or ((1 - -20) < (18 - -15))) and (印度的货币是卢比。))) and (not ((苏联解体发生在1989年。) or ((925是斐波那契数。) and (十二月有31天。))))))
B. not not ((not not ((((澳大利亚位于大洋洲。) or ((2 * -13) == (30 % 9))) and (not not (氧的化学符号是Ca。))) or ((六月有29天。) and ((-4 + -12) == (1 ** 1))) or (埃及的货币是澳元。)))... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 15418540,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not (not not (((太阳绕地球运转。) and (((埃及位于非洲。) or ((1 - -20) < (18 ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((美国位于北美洲。) or (火星是距离太阳最近的行星。)) or ((澳大利亚的货币是比索。) and (二月有28天。))) or ((第二次世界大战开始发生在1939年。) or (一月有31天。)) or (not not (现代奥运会首届举办发生在1895年。))) or (not (硅的化学符号是Au。))) or (not not ((not ((-15 + 2) < (-15 + -18) < (19 + 9))) and ((南非的货币是卢比。) and (not (金的化学符号是Au。)))))
B. (not not (((1913年是闰年。) and (((-... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 51740909,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((美国位于北美洲。) or (火星是距离太阳最近的行星。)) or ((澳大利亚的货币是比索。) a... |
logic-v2 | Examine these expressions:
A. (16 + -18) <= (5 + -12)
B. ((Indonesia is in Asia.) and ((-7 * 12) <= (-7 * 8 - 7 * -9))) or (34 is divisible by 9.)
C. (((6 * -4 + -5 * 5) <= (-4 * 2 + 10 * -4)) and (South Korea is in Asia.)) and ((The chemical symbol for Zinc is Zn.) and (Earth is the 2nd planet from the Sun.))
D. ((Th... | {
"game_data": {
"answer": "B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 12102680,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (16 + -18) <= (5 + -12)\nB. ((Indonesia is in ... |
logic-v2 | 给定以下布尔表达式：
A. ((((新西兰位于大洋洲。) or ((狮子是昆虫。) and (美国位于北美洲。))) or (not not (俄罗斯的货币是比索。))) and (not (((2016年奥运会在伦敦举办。) and ((10 * 0 * 6 * -9) != (-11 * -9))) and (((2 ** 2) < (-14 + 20)) or (智利位于南美洲。))))) and ((not (((智利的货币是比索。) and (德国的首都是柏林。)) and ((海王星是距离太阳第4近的行星。) and ((1 ** 1) < (-5 * -9 - 1 * 1) < (-18 * 20))))) or (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 62887967,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((((新西兰位于大洋洲。) or ((狮子是昆虫。) and (美国位于北美洲。))) or (not not (俄罗斯的货币... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not (not not (not not ((4 ** 1) >= (9 * -16))))) or ((not ((6 - -9) <= (-2 * 10 - 3 * 4))) and (not ((11 + -11) >= (-4 * -10 + -10 * -3))) and (((金星是距离太阳第2近的行星。) or ((6 - -7) >= (-15 * -4))) and (82是质数。)))
B. not not ((not not ((-2 + -14) <= (-2 * -16))) or ((((-15 + 9) > (37 % 4)) and (日本位于亚... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 83180415,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not (not not (not not ((4 ** 1) >= (9 * -16))))) or ... |
logic-v2 | 考虑以下布尔表达式：
A. not (((1896年奥运会在东京举办。) and (((7 * -4 - 6 * 2) > (4 + 17)) and ((-7 - -1) == (19 - -10)))) and (2035年是闰年。) and (金星是距离太阳第8近的行星。))
B. ((((-2 + -18) == (-14 - 15)) and (荷兰的首都是阿姆斯特丹。)) and (not (not (天王星是距离太阳第7近的行星。)))) or (((20 + 14) >= (20 * -9)) or (not (企鹅能飞翔。))) or ((((-15 - 4) < (37 % 10)) or (((15 - 10... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 63379235,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not (((1896年奥运会在东京举办。) and (((7 * -4 - 6 * 2) > (4 + 17)) ... |
logic-v2 | Review these logical expressions:
A. not not (not not (Chile is in South America.))
B. ((The Great Wall of China was built in one year.) or ((Alcohol is a liquid at room temperature.) or ((-16 - -10) != (-19 + 11))) or (((The capital of Ukraine is Kyiv.) or (Earth is the 7th planet from the Sun.)) and ((The currency o... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 12661475,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not (not not (Chile is in South Ame... |
logic-v2 | Analyze these boolean expressions:
A. not ((((((-5 - 20) <= (20 * 9)) or (There are 29 days in November.)) or (((34 % 4) < (6 - -18) < (6 - 12)) or ((-1 - 12) <= (14 * -17) <= (12 + -5)))) or (((4 ** 1) > (-16 - -11)) or (Morocco is in Africa.)) or (not not ((Steam is a solid at room temperature.) and ((2 ** 3) < (4 %... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 84753308,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not ((((((-5 - 20) <= (20 * 9)) or (Th... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((((-13 - -15) >= (5 + -1)) and ((11 + -7) <= (7 * 8 + 8 * -3))) and ((2 * -2) >= (-14 + -7))) or (((加拿大的货币是加元。) or ((-14 * -3) == (-4 * 0 + 7 * 1))) or (木头在常温下是固体。))) or (not not ((not ((-4 - -19) >= (4 ** 3))) or (((-9 * 9 * 7 * -6) == (12 % 7)) and ((-6 * 3 - -3 * -8) < (-6 * -19)))))) an... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 29988056,
"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. ((((((-13 - -15) >= (5 + -1)) and ((11 + -7) <= (7 ... |
logic-v2 | Study the following logical statements:
A. not ((-4 * 4 - -3 * -1) > (-10 * -13))
B. (((19 + -3) < (10 + -17)) or (((15 * -11) < (1 * 9 - -2 * 7)) or (Gold is a solid at room temperature.))) and (not (The square root of 100 is 10.)) and ((not (Mars is the closest planet to the Sun.)) and (not ((5 - 1) < (-2 + 7))))
C.... | {
"game_data": {
"answer": "A,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 75962414,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not ((-4 * 4 - -3 * -1) > (-10 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. Sound cannot travel through a vacuum.
B. not not ((The capital of Italy is New Delhi.) and (The capital of France is Paris.))
C. not (((-9 - -19) <= (45 % 1) <= (1 ** 2)) or ((-9 * -3 * 0 * -2) <= (10 * -11)))
D. (3 * 8 + 9 * -10) == (-5 ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 65690652,
"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. 天王星是距离太阳第7近的行星。
B. (20 + -3) > (-5 - 15)
C. not (((4 * -19) != (5 * -6 - 3 * -7)) or (铁在常温下是固体。))
D. ((蝙蝠是瞎的。) and (161是完全平方数。)) and ((美国位于北美洲。) and ((-8 * -6 + -8 * -10) > (-16 * -17)))
E. (-15 - 12) != (10 * 0 - -8 * -7)
F. ((地球上一天是24小时。) or (光速比声速快。)) and (95能被8整除。)
G. 哥伦布到达美洲发生在1490年。
找出所有为 Tr... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 989948,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 天王星是距离太阳第7近的行星。\nB. (20 + -3) > (-5 - 15)\nC. not (((4 * -... |
logic-v2 | Examine these expressions:
A. (not ((The currency of Egypt is the Dong.) and ((The chemical symbol for Magnesium is Pt.) and ((1 ** 3) != (-8 + 0))))) or (not not ((286 is a Fibonacci number.) and (not not ((-4 * -10 * -7 * 6) <= (2 + 20) <= (17 + -19)))))
B. not not (not ((Spiders are insects.) and (not not (A tuna i... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 304502,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not ((The currency of Egypt is the Dong.) and (... |
logic-v2 | 审视以下逻辑表达式：
A. (泰坦尼克号沉没发生在1917年。) or ((锡的化学符号是H。) and ((-5 - -11) < (-1 * -4 - 7 * 10))) or (not (not not (99能被2整除。)))
B. (((水星是距离太阳第2近的行星。) or ((4 * 10 * -8 * 9) <= (20 * 9) <= (17 + 17))) and ((11 + 17) == (11 + 5))) and (((1 * -7 * 0 * -7) < (43 % 7) < (-20 * -5)) and ((牛有4条腿。) and (78大于22。)))
C. not ((((0 - -20) > ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 61222987,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (泰坦尼克号沉没发生在1917年。) or ((锡的化学符号是H。) and ((-5 - -11) < (-1 * -4 - ... |
logic-v2 | 审视以下逻辑表达式：
A. 俄罗斯位于南美洲。
B. (not ((0 * 9 * -5 * 4) != (-11 * 17))) and (not ((-2 * 1 * -9 * 10) >= (-6 * -14)))
C. (31 % 9) < (-13 - 18) < (-19 * -9)
D. not not ((-16 - -10) == (30 % 10))
E. (not (螃蟹有4条腿。)) or (((-20 * -18) >= (11 * 13)) and (美国位于北美洲。))
F. (not ((18 % 2) < (-5 - -13))) or (not ((4 + 0) == (-17 + -4)))
... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 14994640,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. 俄罗斯位于南美洲。\nB. (not ((0 * 9 * -5 * 4) != (-11 * 17))) and (not ((... |
logic-v2 | 检验这些表达式：
A. (第一次世界大战开始发生在1914年。) or ((121的平方根是9。) and ((20 + 15) <= (8 + 4))) or ((931是斐波那契数。) and (not (镁的化学符号是Mg。)))
B. (美国位于北美洲。) or (not not ((加拿大的货币是加元。) and (地球是距离太阳第3近的行星。)))
C. (1972年奥运会在安特卫普举办。) and ((((2 * 9 + 7 * 3) == (11 + 20)) and ((15 + -1) != (-9 * -10))) or ((1930年是闰年。) or ((-2 * 3 + 3 * 8) >= (-6 - 2... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 9350815,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (第一次世界大战开始发生在1914年。) or ((121的平方根是9。) and ((20 + 15) <= (8 + 4))) o... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (((not not (not (not not (钾的化学符号是Ca。)))) and (not not (396是完全平方数。))) or (not (((-9 * -7) >= (-7 * 10 * -1 * 2)) and ((6 * 1 * -8 * -8) != (-4 * 6 + -10 * 3)))))
B. (not not (((((第二次世界大战开始发生在1939年。) or (声音在真空中传播更快。)) or (not (南极洲是最冷的大陆。))) or (((8 % 5) <= (-7 - 1)) or ((-1 + -7) == (9 *... | {
"game_data": {
"answer": "A,B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 43093164,
"true_count": 6
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (((not not (not (not not (钾的化学符号是Ca。)... |
logic-v2 | Consider the following logical expressions:
A. The capital of Thailand is Bangkok.
B. The 1968 Olympics were held in Mexico City.
C. ((5 ** 2) > (-14 * 18)) or (not not (Sound cannot travel through a vacuum.))
D. (The currency of Chile is the Peso.) and (not ((1 ** 1) >= (-3 * -9 - -10 * 1)))
E. (-18 + -8) >= (-4 * 0)... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 1821051,
"true_count": 6
},
"question": "Consider the following logical expressions:\n\nA. The capital of Thailand ... |
logic-v2 | Review these logical expressions:
A. (4 ** 3) == (3 - -20)
B. (6 * 14) <= (29 % 7) <= (-9 + -12)
C. The capital of Saudi Arabia is Riyadh.
D. ((The 1988 Olympics were held in Seoul.) or ((7 + -7) == (-11 + 3))) and ((7 + 1) != (36 % 9))
Which expressions are true? Answer with comma-separated labels in \boxed{}. | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 98999197,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (4 ** 3) == (3 - -20)\nB. (6 * 14) <= (29... |
logic-v2 | 给定以下布尔表达式：
A. 金星是距离太阳第7近的行星。
B. ((十二月有28天。) and (电流比光速更快。)) or (((1 + -11) <= (9 * 4 - -2 * 7)) and ((3 ** 2) != (-16 * 0)))
C. 澳大利亚位于非洲。
D. (1960年奥运会在慕尼黑举办。) or ((土耳其的货币是里拉。) and ((-8 * -7 * -3 * 1) < (-9 - 6)))
E. not not (((4 - 1) != (3 ** 2)) or (猪是哺乳动物。))
F. 水星是距离太阳第1近的行星。
G. (((-15 * -15) > (39 % 8)) or ((2 % 8)... | {
"game_data": {
"answer": "B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 17746189,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. 金星是距离太阳第7近的行星。\nB. ((十二月有28天。) and (电流比光速更快。)) or (((1 + -... |
logic-v2 | Examine these expressions:
A. not not ((-17 * 15) == (5 ** 2))
B. (A butterfly has 6 legs.) and (not ((A sheep is a mammal.) and (The 2012 Olympics were held in London.)))
C. ((not not (Mexico is in North America.)) and (not not (Japan is in Asia.))) and (not not (not (The currency of United States is the Ruble.)))
D.... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 94880089,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not ((-17 * 15) == (5 ** 2))\nB. (A butterfly ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. A crab has 6 legs.
B. not ((Kenya is in Antarctica.) or ((19 * 13) != (16 - 12)))
C. ((Mars is the closest planet to the Sun.) or ((9 * 4 + 6 * -4) <= (0 * 7 + 9 * 9))) and (The human body has 150 bones.)
D. The first iPhone was released occurred in 2008.
E. The square... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 79692928,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. A crab has 6 legs.\nB. not (... |
logic-v2 | 评估以下每个表达式：
A. (莱特兄弟首次飞行发生在1903年。) or ((((8 + 15) == (-9 - 19)) or ((20 + -8) == (15 * -13))) or (((-3 * -10) <= (15 - 9) <= (49 % 6)) and (十一月有31天。)))
B. (((苏联解体发生在2001年。) and ((3 ** 3) == (11 * -3))) or ((阿根廷位于大洋洲。) and ((-10 * -19) > (8 + 8)))) or (not (奥地利的首都是维也纳。))
C. not not (not (132是奇数。))
D. (((-19 + -8) >= (11... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 52441975,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (莱特兄弟首次飞行发生在1903年。) or ((((8 + 15) == (-9 - 19)) or ((20 + -8)... |
logic-v2 | 考虑以下布尔表达式：
A. not ((not not (((2059年是闰年。) or (not (天王星是距离太阳第7近的行星。))) or ((1952年奥运会在赫尔辛基举办。) and ((8 + 3) > (8 + -19))))) or (not ((not (((5 * 5) < (3 ** 1) < (-5 * -9 + -8 * 5)) or ((6 % 3) >= (-3 * 8)))) or (((二氧化碳在常温下是液体。) or ((-15 * -10) == (-8 * 2 * 8 * 3))) or ((6 * -5 - -9 * -10) > (-2 * -10 * 1 * 5))))))
B. no... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 15103385,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not ((not not (((2059年是闰年。) or (not (天王星是距离太阳第7近的行星。))) or ((1952年... |
logic-v2 | 考虑以下布尔表达式：
A. (not (not (not (德国位于欧洲。)))) and ((((-4 * -7 + 9 * 6) < (0 * 5 - 10 * 8) < (3 * 2 + 5 * -4)) and ((1948年奥运会在亚特兰大举办。) or ((-12 + 11) == (2 ** 1)))) and (变色龙是昆虫。) and (not not ((人体有206块骨头。) or ((6 * 7 + -3 * -4) > (3 + 18))))) and (not not (((-10 * -10 + -10 * -8) >= (-18 - -9)) or (not ((64能被9整除。) and ((2 ... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 58436630,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (not (not (not (德国位于欧洲。)))) and ((((-4 * -7 + 9 * 6) < (0 * 5 - ... |
logic-v2 | Given the following boolean expressions:
A. (Carbon dioxide is a liquid at room temperature.) or (not not (Mars is the 4th planet from the Sun.))
B. The capital of Portugal is Manila.
C. ((0 - -4) < (-15 - 12) < (0 * -9 - -7 * -8)) or (2044 is a leap year.)
D. The chemical symbol for Iron is Mg.
Select all that evalu... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 84450584,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (Carbon dioxide is a liquid at roo... |
logic-v2 | Study the following logical statements:
A. not (not not ((not not (The chemical symbol for Nitrogen is Cu.)) and (not ((9 * 1 * -4 * 10) > (3 ** 3)))))
B. not (not (((Jupiter is the 7th planet from the Sun.) or (The 1908 Olympics were held in Munich.)) or (((-1 * 17) > (-2 - 14)) or (The currency of Turkey is the Peso... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 92981876,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not (not not ((not not (The chemical ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not (A ant is an insect.)) or ((A turtle is a reptile.) or (A crow is a bird.))) and (The capital of Mexico is Prague.)
B. (The currency of Hungary is the Forint.) or ((The chemical symbol for Sulfur is S.) and (The Sun revolves around the Earth.)) or ((17 % 9) <= (2... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 14343641,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not (A ant is an insect.))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 天王星是距离太阳第5近的行星。
B. (2 * -3 - -1 * -5) != (5 * 10 * -1 * -3)
C. 铁在常温下是液体。
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": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 54225421,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 天王星是距离太阳第5近的行星。\nB. (2 * -3 - -1 * -5) != (5 * 10 * -1 * -3)... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not (((The 2008 Olympics were held in Seoul.) and ((-11 - 13) == (-2 * -7 * -7 * 2))) or (((-10 * -11) <= (18 + 1)) or ((-8 * 5 * 8 * -10) >= (-6 - 19))))) and (not not (not ((-15 + 16) <= (0 * 13))))) and ((not (Neptune is the 8th plan... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 37719573,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 研究以下逻辑语句：
A. (((匈牙利的首都是布达佩斯。) or ((96是完全平方数。) or (钻石在常温下是气体。))) and (2004年奥运会在墨尔本举办。) and (美国宣布独立发生在1776年。)) or (not not (not (西班牙位于欧洲。)))
B. (((-6 + 5) >= (0 - -4)) or (((水在常温下是液体。) or (人体有206块骨头。)) and (镁的化学符号是H。))) and ((not ((人类首次登月发生在1964年。) and (天王星是距离太阳第6近的行星。))) or (韩国的货币是印尼盾。))
C. (not not (((377是完全平方数。) and ... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 79729062,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (((匈牙利的首都是布达佩斯。) or ((96是完全平方数。) or (钻石在常温下是气体。))) and (2004年奥运会在墨尔... |
logic-v2 | 评估以下每个表达式：
A. ((not (((-6 * -10 - -9 * 2) <= (10 * 4 * 10 * -9)) or (钻石由碳元素组成。))) and (((冰在常温下是液体。) or (芬兰的首都是赫尔辛基。)) or (((-10 + -20) <= (4 * -5 * 4 * -10)) or (2004年奥运会在阿姆斯特丹举办。)))) or (not ((-8 + -17) != (47 % 3)))
B. ((三月有31天。) and (not ((伦敦大火发生在1666年。) and (十月有31天。)))) or (((((17 % 9) <= (49 % 1) <= (8 % 3)) or (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 78501749,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((not (((-6 * -10 - -9 * 2) <= (10 * 4 * 10 * -9)) or (钻石由碳元素组成。))... |
logic-v2 | 评估以下每个表达式：
A. 2008年奥运会在柏林举办。
B. 二氧化碳在常温下是液体。
C. (((11 * 16) < (4 ** 1) < (-9 * 5)) or (八月有31天。)) or (智利位于南美洲。)
D. (8 + 7) > (8 * -4 * -2 * 9)
E. (-10 * 3 - 9 * 3) == (4 * 4)
F. (not (水在海平面上的沸点是100摄氏度。)) or (((-3 - -8) <= (1 * 4 - 10 * -8)) and (法国位于欧洲。))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 33831811,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. 2008年奥运会在柏林举办。\nB. 二氧化碳在常温下是液体。\nC. (((11 * 16) < (4 ** 1) < (-9... |
logic-v2 | 审视以下逻辑表达式：
A. ((-18 * 2) <= (-9 * -9 * 1 * -4)) or (鳟鱼是鱼类。)
B. (((36 % 7) > (5 * 0 - -9 * -6)) and (三月有31天。)) or (十一月有28天。)
C. ((-5 + 5) == (1 + 1)) and (not not (印度尼西亚的首都是斯德哥尔摩。))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 92105605,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((-18 * 2) <= (-9 * -9 * 1 * -4)) or (鳟鱼是鱼类。)\nB. (((36 % 7) > (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (-18 - -20) < (-3 * 10) < (-1 * -7)
B. (((2 ** 2) < (2 + -18)) or (大象有4条腿。)) or (((5 + 10) == (-11 - 0)) or (中国位于亚洲。))
C. (((-8 - 17) == (38 % 10)) and (71是奇数。)) or (马来西亚的首都是吉隆坡。)
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": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 322019,
"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. (-18 - -20) < (-3 * 10) < (-1 * -7)\nB. (((2 ** 2) < (2... |
logic-v2 | 分析以下逻辑表达式：
A. not (((((not not ((35 % 10) >= (12 * 4))) and ((第一次世界大战开始发生在1914年。) and (钙的化学符号是Ca。))) or ((-20 * 2) == (20 + 6))) or (not (((地球是距离太阳第8近的行星。) and ((9 + 11) < (21 % 10) < (1 ** 2))) and (not not (瑞典的首都是墨西哥城。))))) and ((冰在常温下是固体。) and ((not ((6 % 9) <= (-14 * 19))) or (not not (257是完全平方数。)))) and (not ((((... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 11725999,
"true_count": 6
},
"question": "分析以下逻辑表达式：\n\nA. not (((((not not ((35 % 10) >= (12 * 4))) and ((第一次世界大战开... |
logic-v2 | 研究以下逻辑语句：
A. ((((not not (2020年是闰年。)) or (苏联解体发生在1986年。)) and ((1976年奥运会在蒙特利尔举办。) and ((金星是距离太阳第3近的行星。) and (蛇有4条腿。)))) or (not ((not not ((-3 - 6) > (17 - -7))) and ((28是质数。) or (鲤鱼是鱼类。))))) and (not (2005年是闰年。)) and (not not (not not ((-2 * 9 * -3 * -10) == (-20 + -20))))
B. ((not ((2 * 2) <= (-18 + 19))) and (not n... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 89927760,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. ((((not not (2020年是闰年。)) or (苏联解体发生在1986年。)) and ((1976年奥运会在蒙特利尔举办。... |
logic-v2 | Consider the following logical expressions:
A. not not (not ((-20 + -12) < (-4 * -18)))
B. (((-18 * -7) <= (25 % 1)) and (((-13 * -18) >= (4 * -4 - 5 * -5)) and ((3 ** 1) < (-20 - -5)))) and (((A ostrich is a bird.) and ((3 * 6 + 6 * -9) < (2 ** 1))) and ((Jupiter is the 5th planet from the Sun.) and (The chemical sym... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 37277643,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not not (not ((-20 + -12) < (-4... |
logic-v2 | 给定以下布尔表达式：
A. ((1936年奥运会在柏林举办。) and (土星是距离太阳第3近的行星。)) and (三月有31天。)
B. (26 % 5) > (0 - -6)
C. (-19 - 11) > (-3 * 16)
D. not (((1 * 8) > (-11 - -14)) and ((4 ** 1) < (-17 * 2) < (1 ** 3)))
E. (5 - -18) >= (-7 * 5)
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 36894392,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((1936年奥运会在柏林举办。) and (土星是距离太阳第3近的行星。)) and (三月有31天。)\nB. (26 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not (not not (not ((7 % 8) > (-16 - 11)))))
B. not (((((not not (Helium is a gas at room temperature.)) or ((1 - 15) < (-4 * -15) < (12 - -20))) or (((A dolphin is a mammal.) and (Oil is a solid at room temperature.)) or (Jupiter is the 4th planet from the... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 40842416,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not (not not (n... |
logic-v2 | Study the following logical statements:
A. (not ((not (A chicken has 2 legs.)) or ((((1 ** 3) != (-3 * -3 + -5 * 3)) or (Vietnam is in Antarctica.)) and (not not (292 is a perfect square.))) or (((15 % 10) <= (8 % 7)) or (The 1928 Olympics were held in Rio de Janeiro.) or (not not (not not (The 1976 Olympics were held... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 97490219,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not ((not (A chicken has 2 legs.)) o... |
logic-v2 | Consider the following logical expressions:
A. not (not not ((((not not (The capital of Argentina is Prague.)) and ((There are 31 days in May.) and ((-9 * 18) == (11 * -10)))) and (((19 + 1) < (-18 + -3) < (27 % 3)) or (The currency of Switzerland is the Franc.)) and ((The chemical symbol for Nitrogen is N.) and (((-6... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 86373219,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not (not not ((((not not (The c... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not (((((414 is a Fibonacci number.) or (Silver is a solid at room temperature.)) and ((-2 * 3) < (3 + 10))) and (Electricity flows faster than light.)) and ((((0 + -8) > (20 % 8)) or ((4 ** 3) < (6 * 4 * -10 * -1))) and (not not ((The chemical symbol for Sodi... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 75756609,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not (((((414 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not not (not ((not (((21 % 10) != (4 * -6 + -8 * -7)) or (Jupiter is the 5th planet from the Sun.))) and (Humans have five fingers on each hand.) and (not (not (The chemical symbol for Chromium is Fe.))))))
B. (not not (not not ((The... | {
"game_data": {
"answer": "C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 5721870,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not not (((1 ** 1) <= (-8 * -9 - -2 * 9)) and (not (((-15 * -20) == (14 - -13)) and ((47 % 7) <= (5 + 13))))))) and (not not ((((((-15 + 11) <= (5 ** 3)) or ((4 * -4 + 6 * -7) < (11 % 9))) and (Peru is in Europe.)) or ((((1 ** 1... | {
"game_data": {
"answer": "B,C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 35757900,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not ((not ((((-10 + -20) < (2 * -15) < (30 % 6)) or (1918 is a leap year.)) and (((16 * -11) >= (5 * 10 + 2 * 0)) or ((-10 * -1 * -8 * -10) < (4 ** 3) < (2 ** 2))))) or (not ((((-1 * 7) != (-11 * -15)) or (A chicken has 4 legs.)) and (((9 * 20) != (-2 * -8... | {
"game_data": {
"answer": "A,B,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 13539173,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not ((not... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((((Mexico is in Asia.) or ((not (Venus is the 3rd planet from the Sun.)) or ((Earth is the 8th planet from the Sun.) and (Jupiter is the 5th planet from the Sun.)))) and ((((19 + -9) < (27 % 9) < (42 % 9)) or (((11 * -3) <= (2 ** 2) <= (-2 * 5 + 10 * -6)) or (The ... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 81049301,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((((Mexico is in Asia.... |
logic-v2 | Study the following logical statements:
A. not not (not ((((The 1928 Olympics were held in Seoul.) or (not not ((3 * -13) >= (1 ** 1)))) or ((The currency of Philippines is the Peso.) or ((-6 - 20) != (4 * 9 - 6 * 1)))) or (The chemical symbol for Tin is Cl.) or ((The first moon landing occurred in 1969.) or ((-16 * -... | {
"game_data": {
"answer": "C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 66178210,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not not (not ((((The 1928 Olymp... |
logic-v2 | 下面是几个布尔表达式：
A. not (((((not not ((4 * -7 + 10 * 5) > (15 + 13))) and ((1 * -1) == (17 * 16))) and ((not ((-14 - 19) < (-4 - -10) < (-10 * -15))) or ((人类首次登月发生在1969年。) and (铅的化学符号是Pb。)))) or (not (火星是距离太阳第2近的行星。))) or ((((沙特阿拉伯位于欧洲。) and (not (鲸鱼是鱼类。))) and ((冰在常温下是固体。) and (((5 + 8) > (19 - 0)) or ((-18 * 8) <= (5 * -... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 40901651,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (((((not not ((4 * -7 + 10 * 5) > (15 + 13))) and ((1 * -1)... |
logic-v2 | 评估以下每个表达式：
A. not (not (not not ((((11 + -13) == (7 + -12)) or (((11 % 1) <= (20 % 9) <= (-3 * -6 * -4 * 4)) and (植物通过光合作用产生氧气。))) and (not ((23 % 5) < (22 % 4))) and ((7 * 5 * 9 * -7) <= (3 ** 3)))))
B. not not (not not (((铝的化学符号是Al。) and (锌的化学符号是Al。) and (闪电不会两次击中同一个地方。)) or ((16 + 8) <= (-4 * 1 * -7 * -7) <= (20 * ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 26572560,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (not (not not ((((11 + -13) == (7 + -12)) or (((11 % 1) <= (20... |
logic-v2 | Review these logical expressions:
A. (not not ((((((14 + 3) <= (-15 - 20)) and (Nitrogen is a gas at room temperature.)) or (((-4 * 6 + -3 * -4) != (-20 * -13)) and (Mars is the 7th planet from the Sun.))) and (not not ((18 % 7) <= (28 % 3) <= (22 % 9)))) and (not not (((-18 * 9) <= (-16 * -7)) or ((-16 * 17) == (15 %... | {
"game_data": {
"answer": "D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 55101202,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (not not ((((((14 + 3) <= (-15 - 20))... |
logic-v2 | Examine these expressions:
A. (16 + -18) <= (-1 + -5)
B. (((-3 + -15) < (-17 + 3)) or (The currency of Saudi Arabia is the Dollar.)) or ((A pig has 4 legs.) and (261 is a perfect square.))
C. (-13 - 4) <= (18 % 8)
D. (-17 - 18) != (8 * 6 - 3 * 10)
E. Oil is a liquid at room temperature.
Which ones are true? List the ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 51176667,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (16 + -18) <= (-1 + -5)\nB. (((-3 + -15) < (... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((not not ((not (The chemical symbol for Silver is K.)) or (((2 * -4 - 8 * -10) < (11 * -1) < (-20 - -6)) or (The currency of Norway is the Krona.)))) and (not not (2038 is a leap year.))) and ((not not ((There are 30 days in Nov... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 17976166,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Consider the following logical expressions:
A. not not (((not not (not (((-10 * -10 + 6 * -2) > (17 * -9)) or ((4 % 8) > (-7 + 6))))) and ((not (A herring is a bird.)) or (The currency of Australia is the Dollar.))) and (not (((The 1956 Olympics were held in Paris.) or ((47 % 8) == (2 ** 1))) and (2066 is a leap year.... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 36430859,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not (((not not (not (((-10 * ... |
logic-v2 | Analyze these boolean expressions:
A. ((((The chemical symbol for Nickel is Ni.) or (not ((Jupiter is the 5th planet from the Sun.) or ((3 ** 3) != (5 * -10 + 6 * 8))))) or ((Brazil is in Antarctica.) and ((8 + 18) < (3 ** 2) < (-13 - -4)))) or (not not ((not ((There are 30 days in December.) and ((-20 - -4) > (5 ** 3... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 49266840,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((((The chemical symbol for Nickel is Ni... |
logic-v2 | Analyze these boolean expressions:
A. (not not ((-1 + 14) != (4 ** 2))) and (not ((Humans have three lungs.) or (Plants produce oxygen through photosynthesis.))) and (((not not (A lobster has 0 legs.)) or ((-20 + 8) > (-3 * -5))) and ((-8 * 5 + -1 * -9) != (-14 + 1)))
B. (not not ((((0 + 3) <= (36 % 7) <= (9 * 7)) and... | {
"game_data": {
"answer": "C,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 35591418,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (not not ((-1 + 14) != (4 ** 2))) an... |
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