env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 下面是几个布尔表达式：
A. (not (not not ((not (牛有8条腿。)) or (not ((-20 - 4) < (-5 * -1)))))) or ((((37 % 5) == (-10 * -9 * -9 * -7)) and ((-20 - -8) == (4 * -9 - -9 * 9))) or ((((6 + -16) >= (1 ** 2)) and ((铜的化学符号是Cu。) and ((0 - 5) == (-4 * 9 * -10 * 7)))) and ((((5 ** 3) < (7 - 6)) and (哥伦布到达美洲发生在1492年。)) and (十月有30天。))))
B. (((... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 71515394,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not (not not ((not (牛有8条腿。)) or (not ((-20 - 4) < (-5 * -1))))... |
logic-v2 | 下面是几个布尔表达式：
A. (19 - -10) <= (5 * 14) <= (31 % 1)
B. (((-1 * -2) == (-8 - 1)) and (柏林墙倒塌发生在1991年。)) or (((20 + 20) > (6 - -10)) or (水星是距离太阳第1近的行星。))
C. 36的平方根是3。
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 85077870,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (19 - -10) <= (5 * 14) <= (31 % 1)\nB. (((-1 * -2) == (-8 - 1)) a... |
logic-v2 | Evaluate each expression below:
A. not not ((There are 29 days in April.) and ((not not (Venus is the 5th planet from the Sun.)) and (The 1976 Olympics were held in Montreal.)))
B. The Moon orbits the Earth.
C. not ((The first moon landing occurred in 1969.) or (((6 % 7) <= (25 % 4)) and ((3 ** 1) != (9 % 8))) or (((L... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 85504481,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not not ((There are 29 days in April.) and ((... |
logic-v2 | 评估以下每个表达式：
A. (铂的化学符号是Pt。) and (((-5 * 7 + -8 * 3) >= (7 * 3 - 3 * -8)) and (金在常温下是固体。)) and (((金的化学符号是Ag。) or (人体有206块骨头。)) or ((人体有150块骨头。) or (1946年是闰年。)))
B. (((105是偶数。) or (人体有206块骨头。)) and (挪威的货币是比索。)) or (not not (((30 % 5) > (-10 * 1 * -6 * -6)) or ((-9 * -6 * -1 * 4) > (7 - 8))))
C. (not (not not (澳大利亚的货币是澳元。... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 95800544,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (铂的化学符号是Pt。) and (((-5 * 7 + -8 * 3) >= (7 * 3 - 3 * -8)) and (金... |
logic-v2 | 给定以下布尔表达式：
A. not (((42 % 4) >= (-10 + 9)) and (第一部iPhone发布发生在2005年。))
B. ((钾的化学符号是Ne。) and (三月有29天。)) or (not not (印度的货币是欧元。))
C. not not (not ((1 + 2) >= (-6 + -3)))
D. (瑞士的货币是克朗。) or ((-8 * 1) > (1 ** 3))
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": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 56658099,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not (((42 % 4) >= (-10 + 9)) and (第一部iPhone发布发生在2005年。))\nB. ((钾的化... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not (Mercury is the 2nd planet from the Sun.))) or (not not (not (not not (((14 % 2) != (6 - 2)) or ((3 ** 1) >= (-18 + -12))))))
B. (not (((not (The capital of Colombia is Bogota.)) or (((4 * 10) > (20 * 7)) or ((-10 * -2) > (-... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 50574614,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 检验这些表达式：
A. (((not (not ((3 ** 3) > (-6 * -3 * 2 * 8)))) and ((not not (硫的化学符号是Ca。)) or ((水星是距离太阳第1近的行星。) and ((-11 * 1) > (45 % 10))))) and (not (((4 * 14) <= (32 % 10) <= (5 - 10)) or ((2029年是闰年。) and (氧气对人类生存是必需的。))))) and ((not not ((法国位于亚洲。) and (not not (冰的密度比液态水小。)))) and (((64的平方根是8。) or ((17 * 4) < (3 - 20) <... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 19761186,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. (((not (not ((3 ** 3) > (-6 * -3 * 2 * 8)))) and ((not not (... |
logic-v2 | 下面是几个布尔表达式：
A. not ((not (((not (沙特阿拉伯位于亚洲。)) or ((0 - -20) == (8 - -4))) and (not not ((委内瑞拉的首都是渥太华。) and (第一次世界大战结束发生在1918年。))))) and ((not ((((20 - 1) >= (2 * -3 * 6 * -7)) or ((19 * -12) > (-15 - 12))) and (((6 * -1 + 2 * 7) > (20 * 3)) and (七月有29天。)))) or ((((16的平方根是13。) or ((-16 + -9) >= (-13 * 15))) and (2008年奥... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 85941033,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not ((not (((not (沙特阿拉伯位于亚洲。)) or ((0 - -20) == (8 - -4))) and (n... |
logic-v2 | Study the following logical statements:
A. The currency of Turkey is the Lira.
B. (-6 + -1) < (1 * 6 - -1 * -2)
C. (not not ((-1 * 5) <= (-8 * 19))) or (not not ((10 * 5 - -10 * -1) <= (-10 * 6 * 0 * 10)))
D. ((Argentina is in Antarctica.) or (The human body has 206 bones.)) and (((-10 * -5) > (9 * 13)) or (The capita... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 44046093,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. The currency of Turkey is the Lir... |
logic-v2 | Consider the following logical expressions:
A. (-6 + -6) <= (-3 * 17)
B. (3 - 4) != (6 - 4)
C. (not not ((5 * -8 + 1 * -2) > (19 - 0))) and ((5 * 0 - -1 * -4) > (-5 - -20))
D. not ((A ant has 6 legs.) and ((1 * 9 - 10 * -8) > (-6 * -6)))
E. (9 - 18) < (-19 - -9) < (9 * 8 - -3 * 3)
F. ((9 % 3) <= (5 ** 2)) or ((There a... | {
"game_data": {
"answer": "B,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 26434958,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (-6 + -6) <= (-3 * 17)\nB. ... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not ((-16 + 17) >= (-19 + -15))) and (((1 ** 1) == (8 * -10 - -3 * 1)) and ((-1 + -2) < (-14 - -8) < (11 * -11))))
B. ((铀的化学符号是U。) or (((-11 + 0) < (7 * 8 * 0 * -9)) and (空气在常温下是液体。))) or ((企鹅能飞翔。) or (水星是距离太阳第1近的行星。))
C. not not ((-8 - 16) <= (17 - -12))
D. not not (19是质数。)
哪些表达式为真？在 \boxed{} 中用逗... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 30884478,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not ((not ((-16 + 17) >= (-19 + -15))) and (((1 ** 1) == (8 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((57是质数。) and (一月有31天。)) and (((-7 + 4) <= (12 % 7) <= (-11 + 3)) or ((-18 - -16) < (-9 * 9))) and (((秘鲁位于南美洲。) and ((3 ** 2) <= (-3 * -6 * -3 * -8) <= (-10 * 6 - -5 * 6))) or (泰坦尼克号沉没发生在1912年。))) and ((not not (not ((9 - -3) != (-1 * -10 - 9 * 7)))) or ((-9 - -6) == (2 - -11)))
B. (((-12 * 1... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 32588581,
"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. (((57是质数。) and (一月有31天。)) and (((-7 + 4) <= (12 % 7) ... |
logic-v2 | Given the following boolean expressions:
A. (A butterfly is an insect.) or ((81 is a prime number.) or ((-8 - -14) == (-12 - -20)))
B. (8 % 2) == (-14 * 0)
C. not not ((Mars is the closest planet to the Sun.) or (The 1920 Olympics were held in Mexico City.))
D. not not (((-15 - -20) > (-3 * 0)) and (The capital of Pol... | {
"game_data": {
"answer": "A,B,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 17046842,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. (A butterfly is an insect.) or... |
logic-v2 | Given the following boolean expressions:
A. ((The speed of light is approximately 300,000 km/s.) and (((The 2024 Olympics were held in Paris.) or ((15 + -20) > (-6 - -2))) and (not ((6 * 12) != (-9 * -9 - -3 * 4))))) and (((-8 * 2 * 8 * 7) > (2 ** 1)) and (((5 ** 1) == (16 - 5)) or ((5 ** 1) < (15 - -20) < (19 * 16)))... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 85485359,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((The speed of light is approximat... |
logic-v2 | Review these logical expressions:
A. not ((Chile is in Africa.) or (Diamond is a solid at room temperature.))
B. ((The 1956 Olympics were held in Paris.) and ((4 ** 3) < (20 * 11) < (3 % 5))) or (((-3 + -14) < (-6 * 1 - 9 * -7) < (-3 * 18)) or (A elephant has 6 legs.))
C. not (The currency of Mexico is the Peso.)
D. 1... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 40675016,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not ((Chile is in Africa.) or (Diamond is a... |
logic-v2 | 评估以下每个表达式：
A. not not ((9 % 6) != (19 % 10))
B. not ((15 + 6) != (-7 * 5 + 9 * -4))
C. 莱特兄弟首次飞行发生在1898年。
D. 金在常温下是气体。
E. (not not ((-1 * 4) == (38 % 4))) or ((印度的首都是新德里。) or ((31 % 10) > (-20 - 6)))
F. ((青蛙有0条腿。) or (现代奥运会首届举办发生在1906年。)) and (氧气对人类生存是必需的。)
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 54677003,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not ((9 % 6) != (19 % 10))\nB. not ((15 + 6) != (-7 * 5 + 9 ... |
logic-v2 | 审视以下逻辑表达式：
A. (-6 - -15) > (2 - 13)
B. not (((-9 + -8) != (11 - -2)) or (一月有29天。))
C. (-2 * -4 + 5 * -10) == (-1 * 2 - -8 * -9)
D. 印度尼西亚的货币是林吉特。
E. (not not ((-20 + -1) < (-19 + 18))) and ((水星是距离太阳第8近的行星。) and (闪电不会两次击中同一个地方。))
F. not ((澳大利亚的首都是新加坡。) or ((-18 + -5) != (19 - 18)))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 60590736,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (-6 - -15) > (2 - 13)\nB. not (((-9 + -8) != (11 - -2)) or (一月有29天... |
logic-v2 | 给定以下布尔表达式：
A. not ((((-1 * -4 + -7 * 9) != (3 * 5)) or (天王星是距离太阳第7近的行星。)) and ((闪电不会两次击中同一个地方。) or ((-4 * -5 - 6 * 3) <= (12 * 10))))
B. ((((8 * 3 + -10 * 9) < (-5 * 12) < (5 - 4)) or (苏联解体发生在1991年。)) and (not not ((-5 * 7 + -9 * -3) < (-9 * 10 + 6 * -5)))) and ((not not (26是完全平方数。)) and (not not ((10 * -3 * 0 * -6) <... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 85567971,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not ((((-1 * -4 + -7 * 9) != (3 * 5)) or (天王星是距离太阳第7近的行星。)) and ((... |
logic-v2 | Review these logical expressions:
A. (not (not not ((The Moon produces its own light.) or (The chemical symbol for Hydrogen is Si.)))) or ((not not ((Mars is the 6th planet from the Sun.) or ((1 + -7) != (16 + 18)))) or ((-4 * -2 - 1 * -5) < (-4 + -5)) or (Saturn is the 6th planet from the Sun.))
B. not not (((686 is ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 47439693,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not (not not ((The Moon produces its own... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((not not (英国位于北美洲。)) or ((四月有29天。) or ((13 + 6) <= (20 * 16))))
B. ((((-7 * -7 * -10 * 5) > (15 * 15)) or ((2 * 9 * -2 * 9) <= (-3 * 6 - 3 * 5) <= (19 + -1))) and ((-7 * -1 + 3 * -6) < (13 - 1))) or ((2 ** 3) <= (14 + 15) <= (-5 * 8 - -8 * -4))
C. not not ((((-19 - -13) <= (5 ** 1)) or ((-... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 95308925,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((not not (英国位于北美洲。)) or ((四月有29天。) or ((13 + ... |
logic-v2 | 检验这些表达式：
A. not ((not ((12 * 12) < (-10 - 13))) and (not (蜘蛛是昆虫。)))
B. ((not ((-4 * -18) < (-8 * -4 + 8 * 6))) or ((月球自己发光。) or (阿根廷的货币是比索。))) or ((((18 * -6) < (4 * 9)) or ((-9 + -6) > (18 + -17))) or ((金鱼是鱼类。) or ((21 % 6) == (-14 * -11))))
C. (not (not not ((-1 * 9) <= (-14 + -20)))) or (((闪电不会两次击中同一个地方。) and (瑞典的货... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 25849150,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. not ((not ((12 * 12) < (-10 - 13))) and (not (蜘蛛是昆虫。)))\nB. ... |
logic-v2 | 评估以下每个表达式：
A. not (not (((12 + -19) >= (4 ** 3)) and ((5 * -2 * 8 * -10) != (12 + 14))))
B. not not ((-7 * -6 + 0 * 7) >= (1 ** 2))
C. not not (not ((1906年是闰年。) and (1936年奥运会在墨尔本举办。)))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 3833183,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not (not (((12 + -19) >= (4 ** 3)) and ((5 * -2 * 8 * -10) != (12... |
logic-v2 | Given the following boolean expressions:
A. ((((((16 + 6) != (5 ** 1)) and (The chemical symbol for Phosphorus is P.)) or (((9 * 5 + -6 * -5) <= (3 ** 2)) and (25 is divisible by 10.))) and (not ((17 - -16) <= (-13 + 14) <= (32 % 2))) and (280 is a perfect square.)) and (not ((1 % 2) <= (12 * -17)))) or (not not (((no... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 23023534,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((((((16 + 6) != (5 ** 1)) and (Th... |
logic-v2 | 研究以下逻辑语句：
A. not (((水在常温下是液体。) and (鳟鱼是鱼类。)) or (not not (氮的化学符号是N。)))
B. ((((-2 * 3 * -3 * -5) >= (14 + 17)) and ((16 + -19) <= (1 * -17))) or ((-12 + 4) == (-9 * 11))) or ((((1 + -4) > (-9 - 9)) or ((0 + -19) <= (15 + 13))) or (荷兰的首都是阿姆斯特丹。))
C. ((16 + 12) != (17 + -4)) and (智利的货币是比索。) and ((0 + -3) <= (4 ** 3) <= (... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 53230287,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not (((水在常温下是液体。) and (鳟鱼是鱼类。)) or (not not (氮的化学符号是N。)))\nB. ((((-... |
logic-v2 | Review these logical expressions:
A. (not not ((((-6 * 1) <= (-18 - -19)) and ((-16 * -5) >= (8 * -9 * -10 * -2))) or ((A chicken has 100 legs.) or ((15 + 19) < (2 ** 1))))) and (not ((3 ** 3) == (14 * 10)))
B. (not ((not not (The 1980 Olympics were held in Atlanta.)) and (The capital of Vietnam is Lima.))) and (Peru ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 35751105,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (not not ((((-6 * 1) <= (-18 - -19)) and ((... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((((3 * -2 * -4 * -10) <= (32 % 5)) and (2000年奥运会在亚特兰大举办。)) or (锌的化学符号是Zn。))
B. ((not (海王星是距离太阳第3近的行星。)) and ((鸡是鸟类。) and ((9 * 9 - 2 * 6) > (-18 - -20)))) or (钻石在常温下是固体。)
C. (狗有4条腿。) and (not not (日本的首都是赫尔辛基。)) and ((-14 - -20) > (-3 * -1 - 0 * 2))
D. not not ((not (木头在常温下是液体。)) or ((-11 + 3) > ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 18233064,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not not ((((3 * -2 * -4 * -10) <= (32 % 5)) and (2000年奥运会在亚特兰大... |
logic-v2 | Consider the following logical expressions:
A. (not (The currency of Chile is the Peso.)) or ((not not (((8 * -7 - 9 * 2) < (0 * -3) < (42 % 1)) or ((14 % 4) >= (-15 - 4)))) or (Antarctica is the coldest continent.))
B. not not (not not ((((19 + 13) != (-2 - -19)) and (The 1928 Olympics were held in Amsterdam.)) or (T... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 64542666,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not (The currency of Chile i... |
logic-v2 | Review these logical expressions:
A. not not (not ((4 * -6 - -2 * -1) >= (3 ** 3)))
B. ((((-2 + -4) != (-17 - 0)) or (The chemical symbol for Hydrogen is H.)) and ((Penguins can fly.) and ((19 + 8) != (2 + 7)))) and ((The currency of Poland is the Forint.) or ((18 + -9) <= (4 * 10 * -4 * 1) <= (4 * 4 * -4 * 9)))
C. no... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 58889399,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not (not ((4 * -6 - -2 * -1) >= (3 ** 3... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((新西兰位于亚洲。) and (乌克兰的首都是基辅。))
B. not not (57是完全平方数。)
C. not (322是完全平方数。)
D. (-15 * -9) < (2 * -15) < (5 ** 2)
E. 澳大利亚位于大洋洲。
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 76452166,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not ((新西兰位于亚洲。) and (乌克兰的首都是基辅。))\nB. not not (57是完全平方数。)\nC... |
logic-v2 | 分析以下逻辑表达式：
A. not (酒精在常温下是液体。)
B. not not (((5 * -4 - -6 * -5) > (5 - -19)) or (声音在真空中传播更快。))
C. not (天王星是距离太阳第3近的行星。)
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 95805995,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not (酒精在常温下是液体。)\nB. not not (((5 * -4 - -6 * -5) > (5 - -19)) or ... |
logic-v2 | 研究以下逻辑语句：
A. not (not (not ((((水星是距离太阳第5近的行星。) and (冰在常温下是固体。)) or ((瑞士的首都是斯德哥尔摩。) or ((8 + 2) <= (-1 - -6)))) and (not ((智利的货币是里拉。) or (十二月有31天。))))))
B. not not ((((水蒸气在常温下是气体。) and ((六月有29天。) and ((15 + -4) < (-2 * -3)))) or ((螃蟹有4条腿。) or ((-5 + 8) <= (11 - 2) <= (-7 * 0 * 0 * -1)) or (月球绕地球运转。))) and (not (((not (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 59517954,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not (not (not ((((水星是距离太阳第5近的行星。) and (冰在常温下是固体。)) or ((瑞士的首都是斯德哥尔摩... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not ((not (电流比光速更快。)) and ((3 ** 1) >= (1 * -9 - -7 * 8)))) or (not ((2 ** 2) < (7 + -17)))) or (not not (((not not (匈牙利的货币是奈拉。)) and (((4 * 7) < (3 ** 3) < (-12 + 0)) and ((4 * -6 * -8 * 9) != (2 * 8 + -5 * -3)))) or (2008年奥运会在雅典举办。)))
B. not not (not ((((马有4条腿。) and (短吻鳄是爬行动物。)) and (not not (日... | {
"game_data": {
"answer": "A,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 64952744,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not ((not (电流比光速更快。)) and ((3 ** 1) >= (1 * -9 - -7 ... |
logic-v2 | Evaluate each expression below:
A. not not ((not not (Mercury is the 6th planet from the Sun.)) or ((not ((A octopus has 6 legs.) and (The 1980 Olympics were held in Helsinki.))) or (The capital of Sweden is Stockholm.)))
B. not not (not not ((((Lightning never strikes the same place twice.) and ((43 % 1) <= (11 * 12)... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 50973535,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not ((not not (Mercury is the 6th p... |
logic-v2 | 检验这些表达式：
A. not not ((((44 % 2) < (2 ** 1) < (-13 * 8)) and (((7 * 10 + -9 * -8) <= (-19 * -16)) or (大象有2条腿。))) or (not not ((13 * 9) <= (-8 * -1 + 2 * -5))))
B. not ((not (新加坡的货币是新加坡元。)) or (not ((沙特阿拉伯位于非洲。) or (1960年奥运会在伦敦举办。))))
C. (((((-1 * 3 - 0 * -6) <= (-5 + -13) <= (-4 - -10)) and (二月有28天。)) and (((-4 * -5 + ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 45868900,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not not ((((44 % 2) < (2 ** 1) < (-13 * 8)) and (((7 * 10 + -9 * -... |
logic-v2 | Review these logical expressions:
A. (17 * -16) <= (17 - 11) <= (1 * 1 + 5 * -5)
B. ((The currency of Singapore is the Dollar.) and (Mercury is the 2nd planet from the Sun.)) and (((17 + 14) == (-6 - 12)) or (1952 is a leap year.))
C. (not ((-8 * -19) != (20 - 20))) or (not not (The chemical symbol for Gold is Au.))
D... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 28578578,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (17 * -16) <= (17 - 11) <= (1 * 1 + 5 * -... |
logic-v2 | Review these logical expressions:
A. not not (not (not ((((The 1912 Olympics were held in Munich.) and (The currency of China is the Shekel.)) or (1981 is a leap year.)) or (not not ((1 + -4) == (-20 + 17))) or ((3 ** 1) >= (37 % 5)))))
B. (not ((not not ((not (The capital of China is Beijing.)) and (A cow is a mammal... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 76826592,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not (not (not ((((The 1912 Olympics... |
logic-v2 | Examine these expressions:
A. (((The chemical symbol for Potassium is Hg.) and ((0 * -10 + 7 * 4) < (-15 * -6) < (0 + 6))) and (((9 + 11) > (46 % 10)) or (10 is a prime number.))) or (((-1 * -3 - -1 * -7) <= (7 * -1 - 6 * 0)) or (The capital of Ukraine is Copenhagen.)) or (not (((-13 + -11) >= (-14 + -7)) or ((-2 * 13... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 83563779,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (((The chemical symbol for Potassium is Hg.) and... |
logic-v2 | 审视以下逻辑表达式：
A. 印度位于北美洲。
B. (((-5 * -4 + -5 * 6) > (-20 * -16)) or ((-4 + -3) < (1 - 6))) or (((4 ** 3) <= (16 * 16) <= (1 ** 1)) or ((50 % 7) != (-4 * -16)))
C. 沙特阿拉伯位于北美洲。
D. ((西班牙的首都是马德里。) and ((8 * -2 + 6 * 8) == (10 * 0))) or (not (9的平方根是3。))
E. (哥伦比亚位于南美洲。) and (((4 ** 1) == (17 + -12)) or ((4 ** 2) >= (-4 - 14)))... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 78989991,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. 印度位于北美洲。\nB. (((-5 * -4 + -5 * 6) > (-20 * -16)) or ((-4 + -3) <... |
logic-v2 | Given the following boolean expressions:
A. Ice is less dense than liquid water.
B. (((4 + 14) <= (-3 * 8 - -9 * -5)) or ((-3 * -8 - -7 * 3) <= (2 + 8))) or (A chicken has 6 legs.)
C. (0 + -2) == (1 - -20)
D. (3 * -3 * 8 * 0) < (-20 - -18)
E. (4 ** 2) < (19 - -14) < (-13 + -5)
F. ((15 - 7) <= (10 + 10) <= (3 + -8)) or... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 51168380,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. Ice is less dense than liquid water.... |
logic-v2 | Review these logical expressions:
A. (((not (Nigeria is in South America.)) and (not (United Kingdom is in Europe.))) or (((A bear is a mammal.) or ((1 ** 3) >= (-8 * -5))) or ((1946 is a leap year.) and (A horse has 2 legs.)))) or (not ((The capital of Portugal is Ottawa.) or (not ((3 ** 2) == (1 + -10)))))
B. (not n... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 11857226,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (((not (Nigeria is in South America.)... |
logic-v2 | 给定以下布尔表达式：
A. ((((肯尼亚位于亚洲。) and (捷克的首都是布拉格。)) or ((19 * -14) == (3 * -8))) and ((1960年奥运会在罗马举办。) and (1952年奥运会在墨尔本举办。)) and ((19 * -17) <= (1 * -7 * 5 * 5))) or ((((1 ** 2) < (9 * 12) < (-14 * 10)) and (((-6 * 5 + 10 * 10) < (6 % 1) < (-5 * -2 * -8 * -8)) and (1988年奥运会在首尔举办。))) and ((-8 - 16) < (15 % 6)))
B. 太平洋是最大的海洋... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 69897173,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((((肯尼亚位于亚洲。) and (捷克的首都是布拉格。)) or ((19 * -14) == (3 * -8))) and (... |
logic-v2 | Consider the following logical expressions:
A. (((((The chemical symbol for Mercury is Mg.) and (A trout is a reptile.)) and ((The chemical symbol for Phosphorus is Ne.) or (Ice is less dense than liquid water.))) and (not not ((0 * -5) == (5 ** 1))) and ((-2 + 2) != (-5 * -5 - -7 * -6))) or ((not not (not (Canada is ... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 26133726,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (((((The chemical symbol fo... |
logic-v2 | Analyze these boolean expressions:
A. not not (((not ((2 * 10 - -4 * -3) != (9 + -12))) and (not (not ((-14 + 7) < (19 - -11) < (8 + 8)))) and ((20 is less than or equal to 5.) and (((37 % 4) > (-3 * 18)) and ((Mars is the 4th planet from the Sun.) and (Mexico is in Africa.))))) or (not ((not (Alcohol is a liquid at r... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 41148803,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not not (((not ((2 * 10 - -4 * -3) != (9 +... |
logic-v2 | Examine these expressions:
A. not not (not ((not ((((-20 + 3) != (2 * -13)) or ((20 * -2) != (16 + -14))) and ((2 ** 1) <= (28 % 6)))) and ((17 * -17) > (1 ** 3)) and (((World War II began occurred in 1939.) and ((456 is a Fibonacci number.) or ((35 % 5) <= (5 ** 3)))) or ((58 is divisible by 4.) or (((-16 - 16) >= (2... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 87229280,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (not ((not ((((-20 + 3) != (2 * -13)) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (((铁的化学符号是Fe。) or (空气在常温下是气体。)) or (中国的首都是北京。))
B. (((南极洲是最冷的大陆。) or ((5 + -2) > (-16 - -10))) and (((5 + -13) != (-10 - -16)) or (汞在常温下是气体。))) and (not not (((7 + 9) < (-7 * -6 * -6 * -7)) or ((9 + 2) < (20 + -6))))
C. (((巴西位于南美洲。) or ((-6 * 0 - -5 * 8) != (-1 - 2))) or ((十二月有31天。) or... | {
"game_data": {
"answer": "A,B,C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 83715065,
"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 (((铁的化学符号是Fe。) or (空气在常温下是气体。)) or (中... |
logic-v2 | Given the following boolean expressions:
A. ((not ((The square root of 25 is 1.) and (not (Saturn is the 8th planet from the Sun.)))) or ((A ant has 6 legs.) and (not not (((14 - -7) >= (2 - -14)) or (The capital of Cuba is Havana.))))) and ((not not ((-14 * 12) > (2 ** 1))) and ((A kangaroo has 2 legs.) or (not not (... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 41357577,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((not ((The square root of 25 is 1... |
logic-v2 | Analyze these boolean expressions:
A. not not ((((((The Pacific Ocean is the largest ocean.) and (Vietnam is in Antarctica.)) or (Silver is a solid at room temperature.)) and ((Uranus is the 3rd planet from the Sun.) or (not not (A cockroach is a reptile.)))) and (not not ((3 % 2) == (11 - -17)))) or (not (((-8 - 16) ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 42269255,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not ((((((The Pacific Ocean is the l... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((not (A chicken is a mammal.)) or (((Indonesia is in Antarctica.) and ((-8 * -4 - 7 * 9) <= (-2 * -3 * -6 * -4))) and (((6 * -9) >= (9 * -3 + -3 * 5)) or ((-11 * -17) <= (9 + -18)))))
B. ((((23 % 5) < (0 + 5) < (16 * 19)) and (not ((1 * 3) > (-9 * 8)))) or (no... | {
"game_data": {
"answer": "A,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 36804241,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((not (A chi... |
logic-v2 | 下面是几个布尔表达式：
A. ((not ((法国大革命开始发生在1799年。) and (1992年奥运会在柏林举办。))) or ((not not (空气在常温下是气体。)) and (not ((8 * 9 * -3 * 1) <= (2 ** 1))))) or (not ((-3 * -9 + 10 * 7) > (-2 - -18)))
B. (((((-10 * 7 - -6 * -5) <= (-12 + 1) <= (-5 + -5)) or (第一部iPhone发布发生在1997年。)) or ((第一次世界大战开始发生在1914年。) or ((4 * 6 * -1 * 8) > (-3 * 5 + -6 ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 85078880,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((not ((法国大革命开始发生在1799年。) and (1992年奥运会在柏林举办。))) or ((not n... |
logic-v2 | 研究以下逻辑语句：
A. 乌龟是爬行动物。
B. (-6 * -13) == (-5 * 2)
C. (1904年奥运会在蒙特利尔举办。) or ((氧的化学符号是Ni。) and (汞的化学符号是Hg。))
D. (9 + -6) > (13 + 18)
E. (not not ((-16 + -16) <= (18 + -6))) or ((火星是距离太阳第4近的行星。) and (哥伦比亚位于大洋洲。))
F. (((10 + 11) != (-15 + -20)) or (肯尼亚位于非洲。)) and (((5 * 0) == (-7 * 4)) and (日本的货币是美元。))
G. ((伦敦大火发生在1667年。) o... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 40936852,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. 乌龟是爬行动物。\nB. (-6 * -13) == (-5 * 2)\nC. (1904年奥运会在蒙特利尔举办。) or (... |
logic-v2 | Consider the following logical expressions:
A. not not ((((The Moon produces its own light.) and (((17 + 3) != (-17 * -6)) or ((Mars is the 5th planet from the Sun.) and ((-20 + 14) < (13 + 4) < (7 - 8))))) and (not not ((1 * -2 - 1 * -1) >= (-6 * 10)))) or ((((11 - -14) == (-7 * 6)) and ((((-17 - -2) < (2 * -2 + -1 *... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 28239005,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not not ((((The Moon produces i... |
logic-v2 | Review these logical expressions:
A. (not not (not not ((not not (The capital of Austria is Vienna.)) and (Mexico is in Africa.)))) or (not (((not not (New Zealand is in Antarctica.)) and (not not (153 is a perfect square.))) or ((((35 is an odd number.) or ((-18 - -9) != (12 - 14))) and ((A elephant has 4 legs.) or (... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 81964131,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not not (not not ((not not (The capital ... |
logic-v2 | Review these logical expressions:
A. ((((14 + -20) <= (-12 + -1)) or (((-10 - 8) == (12 + 15)) and ((2 ** 1) == (3 * -6 + 5 * -6)))) or (not ((2006 is a leap year.) or (19 is divisible by 2.)))) or (not (((not not ((-3 - 4) >= (12 * 16))) and (1943 is a leap year.)) and (Uranus is the 7th planet from the Sun.)))
B. no... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 38190667,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. ((((14 + -20) <= (-12 + -1)) or (((-10 ... |
logic-v2 | 给定以下布尔表达式：
A. (第一次世界大战开始发生在1914年。) and ((15 % 1) <= (13 - -1)) and (加拿大的货币是比索。)
B. not not (鲸鱼是鱼类。)
C. 人类每只手有五个手指。
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",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 71826175,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (第一次世界大战开始发生在1914年。) and ((15 % 1) <= (13 - -1)) and (加拿大的货币是比索。)\... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not not ((not not ((193是偶数。) and ((3 ** 1) == (-7 * -6 * -6 * 3)))) or (((-16 * -12) == (4 - -18)) and (印度位于亚洲。)))) or ((((16 - 9) >= (-9 * -5 - -8 * 6)) and (甲虫是哺乳动物。)) and (not (27是偶数。))) or ((not (not ((5 * 1) <= (-20 - 8)))) and (((not not ((11 + -4) < (3 - 5))) or (新西兰的货币是新西兰元。)) or (((-19 * ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 32425961,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not not ((not not ((193是偶数。) and ((3 ** 1) == (-7 * -6 * -6... |
logic-v2 | 检验这些表达式：
A. (not (((铁在常温下是固体。) and ((20 + 0) == (19 % 4))) and (火星是距离太阳最近的行星。))) or (油在常温下是液体。) or (not not (企鹅能飞翔。))
B. (((空气在常温下是固体。) and (尼日利亚位于非洲。)) and (not not ((46 % 7) > (6 + 18)))) or (汞的化学符号是P。) or ((土星是距离太阳第4近的行星。) or ((菲律宾的货币是卢比。) and (((-5 + 9) == (-3 * -3 - -6 * -2)) and ((2 ** 3) < (-13 - -1)))))
C. (((... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 68864057,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not (((铁在常温下是固体。) and ((20 + 0) == (19 % 4))) and (火星是距离太阳最近的行星。)))... |
logic-v2 | Consider the following logical expressions:
A. not (not not ((not (not (((19 + -16) > (-7 * -5 * -7 * -4)) or ((-15 - -5) < (11 * -9))))) and (not (((The 1984 Olympics were held in Los Angeles.) or ((9 * -7 - -1 * 10) < (8 * 6 + 2 * -9) < (7 * 4 - -7 * -2))) and (Peru is in South America.)))))
B. not not (not not (((n... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 92435454,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not (not not ((not (not (((19 +... |
logic-v2 | 给定以下布尔表达式：
A. not ((not not (not ((not (蛇是爬行动物。)) or (((-10 * -7 + 6 * 2) == (2 + -9)) or (钛的化学符号是Ti。))))) and (not (not not (not not ((1980年奥运会在莫斯科举办。) and ((10 * -10) >= (4 - -19)))))))
B. ((not ((not not (地球绕太阳运转。)) or ((((-10 * -8 * 4 * -3) != (8 * -3)) and ((24 % 3) != (20 + 16))) or (((6 + -3) < (-6 * 7) < (-8 *... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 78620457,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not ((not not (not ((not (蛇是爬行动物。)) or (((-10 * -7 + 6 * 2) == (2 ... |
logic-v2 | 考虑以下布尔表达式：
A. (((水星是距离太阳第3近的行星。) and ((((20 % 1) == (8 + 17)) and (空气在常温下是气体。)) and (((-7 * -3 - -9 * 3) <= (1 + -5)) or ((-3 - 16) > (-8 * 20))))) and (沙特阿拉伯的货币是里亚尔。) and (not ((-15 + -14) == (-6 + -16)))) or ((not not (not not ((9 - 18) > (17 + -19)))) or ((1 ** 1) < (-20 - 7) < (4 - -15))) or (not (((((-3 + 12) < (... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 24611407,
"true_count": 6
},
"question": "考虑以下布尔表达式：\n\nA. (((水星是距离太阳第3近的行星。) and ((((20 % 1) == (8 + 17)) and (空气在... |
logic-v2 | 给定以下布尔表达式：
A. ((((-1 * 4 - 2 * 9) > (8 + -12)) and (((9 * 19) > (-11 * 2)) and ((-9 - 20) >= (-20 + -8)))) or (not not ((49的平方根是7。) and ((-8 + 15) < (-2 * 2 + 4 * -10))))) and (((苏联解体发生在1991年。) or ((0 * -8 + 2 * 0) <= (44 % 5))) or (not ((0 * 1 - 1 * -3) < (1 ** 2))) or (not (水星是距离太阳第8近的行星。)))
B. not (((not ((5 * -4 *... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 852806,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((-1 * 4 - 2 * 9) > (8 + -12)) and (((9 * 19) > (-11 * 2)) and... |
logic-v2 | 审视以下逻辑表达式：
A. not (not not ((10 + -2) == (-14 * 1)))
B. ((((0 - -14) <= (-8 - 12) <= (-10 * 5)) and (南极洲是最冷的大陆。)) or (地球是距离太阳第1近的行星。)) or ((3 ** 3) < (0 - -18)) or (((挪威的货币是比索。) or (2020年奥运会在莫斯科举办。)) or ((摩洛哥的首都是拉巴特。) or (氧气对人类生存是必需的。)))
C. not (not not (((-8 * -6 * -10 * -3) <= (0 * 20) <= (20 * 13)) and (尼日利亚的首都是阿布贾... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 33055995,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. not (not not ((10 + -2) == (-14 * 1)))\nB. ((((0 - -14) <=... |
logic-v2 | 审视以下逻辑表达式：
A. ((not ((((-15 + -5) >= (15 % 7)) and (24是质数。)) or (((-10 + 11) <= (4 ** 2) <= (-16 + -4)) or (空气在常温下是气体。)))) and ((乌鸦是鱼类。) and ((not ((1 * 0) > (4 * -11))) or (not (马来西亚的首都是布鲁塞尔。))))) and ((((龙虾有6条腿。) or (not (加拿大的首都是渥太华。))) or ((-18 + 15) != (2 ** 3)) or (not not (not (闪电不会两次击中同一个地方。)))) and (((2 ** 1) ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 1824701,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((not ((((-15 + -5) >= (15 % 7)) and (24是质数。)) or (((-10 + 11) <=... |
logic-v2 | Below are several boolean expressions:
A. ((2095 is a leap year.) or (not (not (The capital of Greece is Athens.)))) and (((not (The currency of Argentina is the Krone.)) or ((The capital of Colombia is Kyiv.) or (Neptune is the 2nd planet from the Sun.))) and ((not ((-5 * 2 + -7 * 8) > (4 ** 1))) and ((The 2000 Olymp... | {
"game_data": {
"answer": "A,B,C,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 87796515,
"true_count": 8
},
"question": "Below are several boolean expressions:\n\nA. ((2095 is a leap year.) ... |
logic-v2 | Consider the following logical expressions:
A. not not ((((The human body has 150 bones.) or (((-15 * 6) > (-10 - 15)) and ((3 ** 3) == (-17 * -10)))) and (not not (not (A lizard is a reptile.)))) or (not not (not (The 1948 Olympics were held in London.))))
B. not (not (not not ((((-18 - 13) > (-5 * 0 * -1 * 7)) and (... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 53927409,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not not ((((The human body ha... |
logic-v2 | 给定以下布尔表达式：
A. ((((丹麦的货币是克朗。) and (钙的化学符号是Ne。)) or (蚊子是昆虫。)) and ((not not ((5 ** 3) != (6 % 5))) and (not not (硫的化学符号是Mn。)))) and (((not ((1 * 5 + 9 * 3) == (-13 - -5))) or ((新加坡的货币是新加坡元。) or (波兰的首都是布拉格。))) or (((火星是距离太阳第4近的行星。) or ((5 + -3) < (-9 * -3 - -4 * -7))) or ((八月有31天。) and (泰国的首都是加拉加斯。))))
B. not not (not ((... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 60855998,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((丹麦的货币是克朗。) and (钙的化学符号是Ne。)) or (蚊子是昆虫。)) and ((not not ((... |
logic-v2 | 给定以下布尔表达式：
A. ((not not (((地球是距离太阳第1近的行星。) or (水星是距离太阳第1近的行星。)) and ((1996年奥运会在巴塞罗那举办。) or ((-2 * 5 - -4 * 10) >= (8 * 9 + -7 * -7))))) and ((((氧气在常温下是液体。) or (尼日利亚的首都是阿布贾。)) or ((3 ** 2) > (5 * 7))) and (鸟有2条腿。))) or (((not not ((32是奇数。) or (47是完全平方数。))) and ((not (日本的货币是日元。)) or (not (1968年奥运会在墨西哥城举办。)))) or (not no... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 5647322,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((not not (((地球是距离太阳第1近的行星。) or (水星是距离太阳第1近的行星。)) and ((1996年奥运会在... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((12 - -12) >= (10 % 7)) or (((14 * 18) <= (19 - 4)) and (Mercury is the 1st planet from the Sun.)) or (not (The chemical symbol for Potassium is Pt.))) or (not (not ((A mosquito is an insect.) or (The capital of Germany is Bangkok.))))
B. ((((There are 28 days in Aug... | {
"game_data": {
"answer": "A,B,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 66295831,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((12 - -12) >= (10 ... |
logic-v2 | 考虑以下布尔表达式：
A. (((-4 * -12) != (5 * 5 * -8 * -5)) or (not not ((35 % 10) != (16 + -4))) or (not not ((-7 * -20) <= (-2 * -3 - -8 * 9)))) or (((鸭子有2条腿。) or ((-20 + 13) < (19 - 12))) and (not ((-5 + 10) >= (-6 - -17)))) or ((not not (火星是距离太阳第4近的行星。)) or (((91小于等于77。) or ((-9 * 14) < (-3 - 13) < (-5 + 16))) or ((-16 - -12... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 90105073,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. (((-4 * -12) != (5 * 5 * -8 * -5)) or (not not ((35 % 10) != (16 +... |
logic-v2 | Evaluate each expression below:
A. (((not not ((16 + 15) >= (1 * 1 * -5 * -5))) and ((2 ** 2) <= (-20 + 11))) or ((15 + 4) <= (-5 * 3 - 3 * -4))) or (((A cow has 4 legs.) and (959 is a Fibonacci number.)) or (not ((9 * 8) <= (4 ** 3) <= (-7 + -15)))) or (not ((-16 - -7) == (11 - 7)))
B. (not not ((((8 * -6 - 1 * -7) !... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 11768952,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (((not not ((16 + 15) >= (1 * 1 * -5 * -5... |
logic-v2 | 审视以下逻辑表达式：
A. 韩国位于南极洲。
B. ((12 + 19) < (7 * 2 - 4 * 7) < (8 + 0)) or ((228是完全平方数。) or (火星是距离太阳第6近的行星。))
C. ((阿根廷的货币是比索。) or (墨西哥位于南极洲。)) and (((35 % 4) < (3 + -16)) or ((4 + 2) <= (-15 - 13)))
D. (not not ((1 * -10 + -5 * 7) <= (-20 - 15) <= (-8 * 16))) or (not not (硅的化学符号是Si。))
E. (not not (巴西的货币是雷亚尔。)) or ((越南位于南美洲。... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 29160510,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. 韩国位于南极洲。\nB. ((12 + 19) < (7 * 2 - 4 * 7) < (8 + 0)) or ((228是完全... |
logic-v2 | 考虑以下布尔表达式：
A. ((1978年是闰年。) and (((8 - 16) <= (11 + -13)) and ((新西兰的货币是新西兰元。) and ((15 + -13) < (5 * 8))))) and (not (第二次世界大战结束发生在1945年。))
B. not (not not ((not not (哥伦布到达美洲发生在1493年。)) and (not not (六月有30天。))))
C. (((not ((-6 * -2 + 10 * -9) == (-11 + 13))) and ((26大于85。) and ((43 % 5) >= (-7 - 14)))) or (木星是距离太阳第5近的行星... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 64461658,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((1978年是闰年。) and (((8 - 16) <= (11 + -13)) and ((新西兰的货币是新西兰元。)... |
logic-v2 | 分析以下逻辑表达式：
A. (not ((1 * -1 * 9 * -8) < (1 ** 1))) or (((意大利位于欧洲。) and (猫有6条腿。)) and ((中国的货币是奈拉。) and (匈牙利的首都是布达佩斯。)))
B. ((not not (第二次世界大战结束发生在1945年。)) or (智利的货币是美元。)) and ((-7 + -15) != (-8 * -19))
C. (not ((火星是距离太阳第3近的行星。) and (酒精在常温下是气体。))) or ((((-18 * -17) < (6 * -11)) and (牛有4条腿。)) and (not ((16 * -6) >= (47 %... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 44176591,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. (not ((1 * -1 * 9 * -8) < (1 ** 1))) or (((意大利位于欧洲。) and (... |
logic-v2 | Given the following boolean expressions:
A. not not (not ((not (not ((The currency of Sweden is the Krona.) or (The capital of Turkey is Ankara.)))) or ((not not (((-6 + -4) <= (-9 * -17) <= (-6 + -1)) and (A salmon is an insect.))) or (The capital of Singapore is Singapore.))))
B. not (not (((((The chemical symbol fo... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 74181031,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. not not (not ((not (not ((Th... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not (((-10 + 0) >= (1 * 15)) and ((-1 * -5 - 4 * 1) > (9 + 6)))) and ((not not (((37 % 10) != (16 + -8)) or (((-6 - 8) <= (-6 - 9)) and ((10 * 4 - 9 * -2) < (-18 * 6) < (20 % 2))))) or ((There are 31 days in December.) or (((13 * 3) <= (5 * -7) <= (-11 * -9)) or (((2 ... | {
"game_data": {
"answer": "A,B,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 31274800,
"true_count": 7
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not (((-10 + 0) >... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. 地球绕太阳运转。
B. not not (((not not (2068年是闰年。)) or (((-18 + 4) >= (5 ** 3)) and (七月有30天。))) and ((铁在常温下是液体。) and ((铀的化学符号是U。) and ((-13 - 13) > (-12 + -4)))))
C. not not ((土耳其的货币是索尔。) or ((((2 ** 3) > (4 - 2)) and ((2 * -1 - 0 * 6) > (1 + 2))) and (17是质数。)))
D. (((三月有31天。) and (((17 - -7) < (6 - 7)) or... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 65700126,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. 地球绕太阳运转。\nB. not not (((not not (2068年是闰年。)) or (((-18 + 4) ... |
logic-v2 | 检验这些表达式：
A. not ((not not ((5 - -5) > (17 * -17))) or (not ((-8 * 5 * 3 * -4) < (1 ** 3))))
B. not not (((波兰的货币是瑞士法郎。) and (蛇有0条腿。)) or (((-10 * 2 + -2 * -1) < (-1 - -5)) or ((0 * 8 - -4 * -8) < (-9 * -3 * -10 * -9) < (4 * 2 - 6 * -9))))
C. (((4 % 8) < (9 * -14)) and (((1 ** 1) == (-19 + -1)) and ((17 + 20) == (-17 - ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 15950612,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not ((not not ((5 - -5) > (17 * -17))) or (not ((-8 * 5 * 3 * -4) ... |
logic-v2 | Review these logical expressions:
A. not (((((Ice is less dense than liquid water.) or (The chemical symbol for Helium is Na.)) or (((11 * -14) <= (2 * -2 - 5 * -8)) or ((4 * 6) < (3 ** 3)))) and ((The currency of Russia is the Dollar.) and (1974 is a leap year.)) and ((There are 31 days in July.) or (The 1900 Olympic... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 76756876,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (((((Ice is less dense than liqui... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not (马有4条腿。)) and ((14 + -3) < (7 * 6))) or ((美国的货币是卢布。) and ((((-5 - -11) <= (-7 * 4) <= (-3 * 3 - 6 * 5)) and (蜘蛛是昆虫。)) or ((9 + -3) == (-18 - 9))))
B. ((not (not not (埃及位于南美洲。))) or ((5 ** 3) <= (-12 * 2) <= (4 ** 2))) or (((南非的货币是兰特。) and ((-4 * -2 - -10 * 2) != (9 - 11))) and (not not ((3 ** 3... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 1673300,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. ((not not (马有4条腿。)) and ((14 + -3) < (7 * 6))) or ((美国的货币是卢布。... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((((not ((The 1988 Olympics were held in Athens.) or (The square root of 9 is 13.))) and (not ((The chemical symbol for Gold is Pt.) and ((-4 - -18) == (12 * 3))))) and (not not (not (not ((5 ** 2) == (-2 * -3 * 6 * 6)))))) and ((((4 ** 2) == (-20 - 17)) or ((The c... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 24362036,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((((not ((The 1988 Oly... |
logic-v2 | Study the following logical statements:
A. not ((not (((-7 - -3) <= (-11 + -16)) or (not not (The chemical symbol for Helium is He.)))) and ((not ((2 + 16) > (-15 + -9))) or ((not not (not not (The currency of Norway is the Pound.))) or ((not not (There are 28 days in February.)) or (A human has 2 legs.)))))
B. not no... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 32541583,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not ((not (((-7 - -3) <= (-11 +... |
logic-v2 | Given the following boolean expressions:
A. not not ((not not ((((The Great Fire of London occurred in 1666.) or ((1 ** 1) != (20 + -5))) or ((16 * 18) != (-4 - 12))) or ((-3 * 7 + 9 * -5) >= (5 * -11)))) and (not not (not not ((The Great Fire of London occurred in 1666.) or (The square root of 49 is 7.)))) and (not (... | {
"game_data": {
"answer": "B,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 56897721,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not ((not not ((((The Great ... |
logic-v2 | Examine these expressions:
A. not ((((A kangaroo has 6 legs.) and ((A chicken is an insect.) or ((The square root of 1 is 1.) and ((-13 + -10) <= (-11 - -4))))) or (((-4 * -6 + -1 * -10) <= (-4 * -6 * 3 * 1) <= (-16 - 10)) and ((((17 * -18) <= (2 * 1 * -5 * -1)) or (A alligator is an insect.)) or (not not ((10 + -10) ... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 92347272,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. not ((((A kangaroo has 6 legs.) and ((A chic... |
logic-v2 | Analyze these boolean expressions:
A. not (not (not (((not not ((14 - -5) <= (3 * -7 + 7 * -6))) or ((-20 - -19) > (-3 * 6 * -6 * 4))) and ((55 is a prime number.) or ((2 - -8) < (1 ** 3))) and (Brazil is in Africa.))))
B. (not (not ((not (The currency of Hungary is the Forint.)) or ((The 1932 Olympics were held in Lo... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 65173578,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (not (not (((not not ((14 - -5) ... |
logic-v2 | Evaluate each expression below:
A. (not (((1 ** 3) > (18 + -9)) or (((-7 + -16) > (-9 * -7 * 5 * -4)) and (The capital of Vietnam is Amsterdam.)))) and (not (((2 * 16) != (10 - 9)) and (not not (2050 is a leap year.))))
B. not not ((A shark is a bird.) or ((2 ** 3) >= (-17 - -4)) or ((((17 * 14) < (18 + 1)) and ((3 * ... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 22147100,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not (((1 ** 3) > (18 + -9)) or (((-7 + -... |
logic-v2 | Below are several boolean expressions:
A. ((2 * 6) < (-4 - -2) < (9 * 2 * -7 * -4)) or (not (((3 - 9) > (50 % 1)) and (Mercury is the 1st planet from the Sun.)))
B. not (not not ((The capital of Germany is Berlin.) and ((-11 + 14) == (-2 * -1 + 9 * -6))))
C. (not (Mercury is a liquid at room temperature.)) and ((The 2... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 16477066,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. ((2 * 6) < (-4 - -2) < (9 * 2 * -7... |
logic-v2 | 分析以下逻辑表达式：
A. (32 % 1) < (-14 + 14)
B. 1958年是闰年。
C. 钠的化学符号是Zn。
D. (not ((-1 + 0) <= (4 ** 1))) and (not ((3 * -8 * -2 * 4) <= (2 ** 2) <= (4 ** 2)))
E. (墨西哥的首都是墨西哥城。) and (水蒸气在常温下是气体。)
F. (not (土星是距离太阳第8近的行星。)) and ((鸡有2条腿。) and (螃蟹有0条腿。))
G. ((23 % 10) <= (-6 * -3 - 6 * -3)) and (((-17 + 1) <= (-14 - -8) <= (-13 * 16... | {
"game_data": {
"answer": "E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 32892414,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (32 % 1) < (-14 + 14)\nB. 1958年是闰年。\nC. 钠的化学符号是Zn。\nD. (not ((-1... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (((13 - 7) < (2 * -5 * -6 * 6) < (17 * -1)) or (((23 % 5) > (-3 * -6 - 3 * -8)) or ((-1 + 13) <= (3 * -19))))) and (1907年是闰年。) and (((二月有28天。) or (((11 * 9) <= (20 + 11)) or ((20 * 6) != (-16 - -9)))) and ((-1 * -7) >= (20 * -16)))) or (((三月有31天。) or (月球绕地球运转。)) and ((((3 ** 1) <= (1 ** 2) <= ... | {
"game_data": {
"answer": "A,B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 51037872,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (((13 - 7) < (2 * -5 * -6 * 6) < (17 * -1)) or (((2... |
logic-v2 | 给定以下布尔表达式：
A. not (((变色龙是爬行动物。) or ((-5 - -19) < (19 - -3) < (12 * -13))) or ((15 - 11) > (-10 * 13)))
B. (((人类每只手有五个手指。) and ((20 * 3) < (12 % 7))) and ((48 % 10) == (19 % 2))) or ((伦敦大火发生在1656年。) or ((5 - -19) != (-18 * -18))) or (not (((-3 - -11) == (14 + 6)) and ((47 % 8) < (12 * 4) < (-16 - 16))))
C. ((((20 - 20)... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 58061658,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not (((变色龙是爬行动物。) or ((-5 - -19) < (19 - -3) < (12 * -13))) or... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((((3 * -8 + -9 * 6) == (11 + 13)) or ((12 * 9) < (-6 * -8 * -6 * -3))) or ((Mexico is in North America.) or (The chemical symbol for Mercury is Hg.)))
B. not (not not ((337 is a perfect square.) or (Germany is in Antarctica.)))
C... | {
"game_data": {
"answer": "A,B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 55076862,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Review these logical expressions:
A. (((((The 2004 Olympics were held in Munich.) or ((19 * 1) != (-15 * 18))) or (not not ((49 % 4) <= (6 - -15) <= (3 ** 1)))) and ((The chemical symbol for Silver is Al.) and (2032 is a leap year.)) and ((43 % 3) > (17 + 9))) or (((-13 - 13) < (-8 - -20)) and ((-11 + 10) < (7 - -9)))... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 71445725,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (((((The 2004 Olympics were held in Munic... |
logic-v2 | Analyze these boolean expressions:
A. ((not ((not not (The chemical symbol for Calcium is Ca.)) or (Egypt is in Antarctica.))) and (((11 + -10) == (13 - 17)) and ((((-2 - -18) < (4 ** 3) < (-13 + 15)) or ((1 ** 3) >= (-6 + -18))) or (not (A crab has 10 legs.))))) or (not (not (((6 * 12) <= (-16 + -11)) or (96 is a pri... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 66122239,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not ((not not (The chemical symbol f... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not (not not (Ice is a solid at room temperature.)))) and (not ((((Italy is in Asia.) or (Humans only use 10% of their brain.)) and (The chemical symbol for Phosphorus is P.)) and (not not (((3 - 6) <= (11 * -16)) and (Uranus is the 8th planet from the Sun.)))))
B. (not ... | {
"game_data": {
"answer": "B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 52377569,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not (not not (Ice is a solid... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((not ((3 * -6 - 5 * -7) > (7 % 10))) or (((-9 - 15) < (7 + -12)) or ((-12 + 2) != (-11 - 16))))
B. not (63 is an even number.)
C. ((Steam is a solid at room temperature.) or ((45 % 3) > (4 + -5))) or ((9 * 7 - 2 * -7) >= (14 * 6))
D. (Oxygen is necessary for human... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 88654245,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((not ((3 * -6 - 5 * -... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (Sound cannot travel through a vacuum.) or ((((-10 + 14) != (10 * -4)) and ((8 * -1 + -2 * -4) >= (16 % 1))) or (Brazil is in Asia.))
B. not not (The chemical symbol for Tin is Al.)
C. (Mercury is a gas at room temperature.) or ((40 % 7) ... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 48289632,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((not not (not not ((327是完全平方数。) and ((-18 * 15) <= (-1 * -6 * -4 * -9) <= (-5 + 9))))) and (鱼有10条腿。) and (((0 * 3) == (5 ** 3)) or (((铀的化学符号是Hg。) or (奥地利的首都是维也纳。)) and (2020年是闰年。)))) and (((螃蟹有10条腿。) or ((11 + -5) <= (-7 + -3))) and ((not (1987年是闰年。)) or (not ((12 + 16) > (5 ** 3))))) and (((... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 8052538,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (((not not (not not ((327是完全平方数。) and ((-18 * 15) <= ... |
logic-v2 | Study the following logical statements:
A. (not (((-7 - 15) > (3 + -19)) or (((-5 * 2) < (1 ** 1)) or ((-8 * -16) < (-11 + 18))))) and (not ((Ice is a liquid at room temperature.) and ((Saturn is the 6th planet from the Sun.) and ((-2 * -4 * 9 * 7) <= (19 - 6)))))
B. not ((not not (not not ((-7 - 14) != (43 % 5)))) or... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 89374338,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not (((-7 - 15) > (3 + -19)) or (((-... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((银在常温下是固体。) or (电流比光速更快。)) or (((13 - 8) != (3 - -2)) or (not (1960年奥运会在罗马举办。)))
B. not (铁的化学符号是Fe。)
C. ((3 ** 2) != (1 * 17)) or ((((-4 + 8) == (14 - 7)) and ((-8 + 16) <= (16 - -20))) or ((2034年是闰年。) and (1896年奥运会在雅典举办。)))
D. not not (not not (not ((2 ** 2) < (-5 * -8))))
E. not ((10 * 4 + ... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 73739006,
"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. ((银在常温下是固体。) or (电流比光速更快。)) or (((13 - 8) != (3 - -... |
logic-v2 | Evaluate each expression below:
A. (not not ((((The chemical symbol for Silver is Cl.) or ((11 - -14) >= (18 % 8))) and (Jupiter is the 1st planet from the Sun.)) and (The chemical symbol for Silver is Ag.))) and (not (((not not (Nitrogen is a liquid at room temperature.)) and ((28 % 4) > (47 % 3))) or (((Earth is the... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 82995002,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (not not ((((The chemical symbol for Silver i... |
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 (not (九月有29天。)))) or ((not ((乌克兰的首都是布达佩斯。) or (氮的化学符号是Ag。))) or ((鸟有2条腿。) or ((19 * 10) < (8 % 2) < (-20 * -5))) or (鹰是鱼类。))))
B. not (not ((not not (not not ((澳大利亚位于大洋洲。) or (二月有28天。)))) and (not not (((8 - 15) >= (-6 * -7 * 5 * 0)) and ((1 * 10) >= (-7 * -9 * ... | {
"game_data": {
"answer": "A,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 63867672,
"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 not (not (not (九月有29天。)))) or ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (植物通过光合作用产生氧气。) or ((-4 * 6) > (-11 - 3)) or (not not (not (氖的化学符号是Ne。)))
B. (not (((0 * 3 - -7 * -8) == (4 ** 2)) and ((-1 * 2 + -3 * 9) < (-12 + -7)))) or ((not not (南非的货币是兰特。)) or (not ((9 * -8 * 1 * 9) != (-2 * -4 * 9 * -5))))
C. not not (not not ((第二次世界大战开始发生在1939年。) or (2040年是闰年。)))
D. (... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 43642741,
"true_count": 7
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (植物通过光合作用产生氧气。) or ((-4 * 6) > (-11 - 3)) o... |
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