env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 评估以下每个表达式：
A. not not ((人类有10条腿。) or ((铁在常温下是气体。) and (锰的化学符号是Na。)))
B. (尼日利亚的首都是维也纳。) and (not (((15 + -7) <= (-11 - -5)) or ((2 ** 3) == (-6 * 9 * -1 * -8))))
C. ((not ((4 * 2 - -5 * -10) != (10 - -1))) and ((1904年奥运会在东京举办。) or (81的平方根是3。))) and (not not (not not ((10 - -16) >= (0 - -9))))
D. 月球绕地球运转。
列出所有值为 True 的... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 44430076,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not ((人类有10条腿。) or ((铁在常温下是气体。) and (锰的化学符号是Na。)))\nB. (尼日利亚的首... |
logic-v2 | Examine these expressions:
A. not not (((not (35 is a prime number.)) and ((4 * -3) == (6 - -16)) and (((not not (India is in Asia.)) or (not ((-6 * -10) < (2 ** 1)))) and (not ((39 % 10) != (-2 - -17))) and (((There are 31 days in March.) or ((-5 * 6) >= (11 + 4))) and ((10 * 0 * 5 * -5) < (16 % 5) < (5 ** 2))))) and... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 54714343,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (((not (35 is a prime number.)) and ((4 ... |
logic-v2 | 给定以下布尔表达式：
A. not (not not ((((12 - 1) <= (-9 * -2 + 9 * -1) <= (-6 * 14)) or (((地球上一天是24小时。) or (66是偶数。)) and (((-7 - 6) <= (4 ** 1)) and (一月有31天。)))) or ((not not ((人体有206块骨头。) or (567是斐波那契数。))) or (((-6 * 0 - -9 * 7) >= (44 % 6)) or (((-5 * 10 + -6 * 10) == (-2 + -10)) or ((-6 + 15) <= (8 - 11)))))))
B. ((not not (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 54149473,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not (not not ((((12 - 1) <= (-9 * -2 + 9 * -1) <= (-6 * 14)) or ((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((埃及的货币是埃及镑。) and (人类首次登月发生在1969年。)) and ((锡的化学符号是Sn。) and ((7 * 5 - -5 * 9) > (4 ** 2))))
B. not not (((海王星是距离太阳第6近的行星。) and ((-10 - -11) >= (-17 * -4))) or (((-11 + -13) < (6 + 9) < (19 + -13)) or ((1 + 10) != (43 % 9))))
C. not (not not (((5 * 7 * -9 * -7) > (1 * -2 + 10 * 4)) and (俄罗斯的... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 79557517,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((埃及的货币是埃及镑。) and (人类首次登月发生在1969年。)) and ((锡的化学符号... |
logic-v2 | 考虑以下布尔表达式：
A. (not ((not ((not not ((4 + 4) >= (-3 - 12))) and (((6 - -16) == (0 * -4 * -7 * 8)) and ((10 * -10 * -9 * -3) == (8 * -1 * 6 * 10))))) and (not (not not (not not ((6 * -9 * -9 * -7) < (8 * -6))))))) and (not not ((not not (not not ((-2 * -5 + 4 * 2) <= (33 % 10)))) and (((38 % 5) != (-20 * 0)) or (((48 % ... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 62375809,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. (not ((not ((not not ((4 + 4) >= (-3 - 12))) and (((6 - -16) == ... |
logic-v2 | 给定以下布尔表达式：
A. 美国宣布独立发生在1778年。
B. 镍的化学符号是Ni。
C. not not ((南极洲是最冷的大陆。) and (第二次世界大战开始发生在1939年。))
D. 1908年奥运会在东京举办。
E. 1924年奥运会在阿姆斯特丹举办。
F. 钻石在常温下是固体。
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": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 81933733,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 美国宣布独立发生在1778年。\nB. 镍的化学符号是Ni。\nC. not not ((南极洲是最冷的大陆。) and (... |
logic-v2 | 考虑以下布尔表达式：
A. (not not (1952年奥运会在北京举办。)) or ((((十二月有29天。) and ((9 + -4) != (2 * 1 + -3 * -7))) and (not ((44 % 10) <= (-18 * -5) <= (15 * -1)))) or (二月有28天。))
B. ((((天王星是距离太阳第2近的行星。) and ((-19 + -11) > (20 - -8))) and (not not (蛇是哺乳动物。))) or (1988年奥运会在首尔举办。) or (第一次世界大战结束发生在1917年。)) or (((空气在常温下是气体。) or (((5 - 14) <= ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 98844938,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not not (1952年奥运会在北京举办。)) or ((((十二月有29天。) and ((9 + -4) != (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((4 ** 1) != (11 * -15)) or ((not not (2081年是闰年。)) and ((西班牙位于南极洲。) or ((-17 * -3) >= (12 + 11))))) or (not (not not (not not (水蒸气在常温下是气体。))))) and (not (((not not ((3 ** 1) < (5 ** 2))) or (((-4 - 17) == (13 + -13)) or (钻石由碳元素组成。))) and (96能被9整除。)))
B. (not not (((((-11 * 9) <= (3 % 8)) and... | {
"game_data": {
"answer": "A,B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 29671801,
"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. ((((4 ** 1) != (11 * -15)) or ((not not (2081年是闰年。)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (not not (not not ((not (The currency of South Korea is the Peso.)) and (not not ((31 % 8) == (9 + -7))))))) and (not not (not not (((Mercury is the 1st planet from the Sun.) and (There are 31 days in May.)) and ((3 * 0 + 1 * 4) <= (-17 + 18) <= (-2 - -1)))))
... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 87700390,
"true_count": 1
},
"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 ((not (not (2065 is a leap year.))) or ((((There are 30 days in November.) and ((Light travels faster than sound.) and ((12 * 12) != (-17 + -9)))) and (not not ((The capital of Canada is Oslo.) or (The Moon produces its own light.)))) or ((((The currency of United Kin... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 92833310,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not not ((not (not (2065 is a l... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((not not (not not (not (海王星是距离太阳第8近的行星。)))) or (((-9 * -2) < (-1 * -20)) or ((3 - 11) < (-19 + -15))) or ((((水蒸气在常温下是气体。) and (1991年是闰年。)) and ((澳大利亚的货币是韩元。) or ((-14 * -1) != (13 - -13)))) and ((not not ((-7 * 7 - -4 * -10) >= (10 * -11))) and ((氦的化学符号是P。) or ((-17 * -5) < (44 % 6)))))) ... | {
"game_data": {
"answer": "A,C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 29766188,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((not not (not not (not (海王星是距离太阳第8近的行星。)))... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. Ice is less dense than liquid water.
B. not not (Japan is in Asia.)
C. not not ((-19 * 8) == (2 + -16))
D. (1 ** 1) >= (-13 - -11)
E. A lobster has 6 legs.
F. (4 ** 2) < (17 + -16)
G. not not (2100 is a leap year.)
H. not (not ((-10 * -5 ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 59743326,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((((The chemical symbol for Platinum is Cr.) or ((46 % 8) > (4 ** 2))) or (((-5 * -6 + 6 * 2) <= (7 * -12)) or (The currency of India is the Krone.))) and ((((-8 * -6 - 4 * -1) > (38 % 2)) and (The Titanic sank occurred in 1912.)) or (The 1980 Olympics were held i... | {
"game_data": {
"answer": "A,B,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 33342040,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((((The chemica... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((三月有31天。) or ((罗马尼亚的首都是莫斯科。) or (第一次世界大战开始发生在1915年。)))
B. not ((((3 * 10 - 6 * -1) <= (2 * 10 * -8 * -10) <= (-2 - -12)) and (太阳绕地球运转。)) and (((7 * -4 * -3 * 2) > (3 + -4)) or (67是奇数。)))
C. ((-4 * 4 * -8 * -1) < (-11 - -6) < (39 % 4)) and (((铜的化学符号是Zn。) and (印度尼西亚的货币是福林。)) and ((蝙蝠是瞎的... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 91046021,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((三月有31天。) or ((罗马尼亚的首都是莫斯科。) or (第一次世界大战... |
logic-v2 | 检验这些表达式：
A. (not (not ((20 - -17) >= (-9 - 18)))) or (狮子是鱼类。)
B. not not ((9 + 8) < (1 * -8 - 9 * 8))
C. ((not not (水星是距离太阳第4近的行星。)) and (((-20 * 0) >= (3 * 5 + -9 * -1)) and ((5 * 10 - 1 * -5) <= (-2 * -8)))) or ((17 - 0) == (-16 * 1))
D. not not ((((3 * -12) <= (11 - -4) <= (-9 * -10 - 6 * 8)) and ((1 - -7) > (19 + ... | {
"game_data": {
"answer": "A,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 61470621,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (not (not ((20 - -17) >= (-9 - 18)))) or (狮子是鱼类。)\nB. not not ((9 ... |
logic-v2 | 检验这些表达式：
A. (not ((not (墨西哥的首都是墨西哥城。)) and (((21 % 5) == (-9 * 8 + 1 * 9)) and ((8 - 8) >= (4 * 0 + 1 * -4))))) and (((not not (冰的密度比液态水小。)) and (not not ((-3 * -3 + -7 * 5) == (20 - 14)))) and (((-14 * 15) > (7 * -17)) and (第一次世界大战结束发生在1920年。)) and (not (银的化学符号是Ag。)))
B. ((not (not not (1972年奥运会在慕尼黑举办。))) and ((9 * -... | {
"game_data": {
"answer": "B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 57771108,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. (not ((not (墨西哥的首都是墨西哥城。)) and (((21 % 5) == (-9 * 8 + 1 * 9... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((not ((1 ** 2) > (-6 * -5 * 3 * 5))) and (巴西的首都是曼谷。))
B. not not (((羊是哺乳动物。) or (not not (2000年奥运会在北京举办。))) and (not not ((7 * -9 - 0 * -6) >= (41 % 7))) and (((巴西的货币是奈拉。) and ((14 % 4) != (2 ** 2))) and (((20 * -18) == (8 * -1 * 4 * -9)) or ((20 * 10) <= (-15 * 4)))))
C. (not not (not not ((13... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 96872816,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not ((not ((1 ** 2) > (-6 * -5 * 3 * 5))) and (巴西的首都是曼谷。))\... |
logic-v2 | Study the following logical statements:
A. (2 * -4) < (18 + -6) < (8 - 17)
B. not not (not ((1 ** 2) <= (-9 * 2 - -3 * 8) <= (7 * -8 - 5 * 0)))
C. (The capital of France is Seoul.) and (((33 % 7) > (12 + 16)) and (The capital of Canada is Ottawa.))
D. ((19 * 15) <= (3 ** 3) <= (8 * -10 + 4 * -8)) or (((-8 * -3 + -5 * ... | {
"game_data": {
"answer": "B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 16084445,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (2 * -4) < (18 + -6) < (8 - 17)\n... |
logic-v2 | Given the following boolean expressions:
A. (not not ((2037 is a leap year.) and ((Oxygen is a gas at room temperature.) and ((9 - -11) >= (9 * 16))))) or (((-6 - 17) < (-20 + -16) < (5 ** 1)) or (World War II began occurred in 1939.) or (((Vietnam is in Oceania.) or (The currency of Colombia is the Baht.)) or (not no... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 15508847,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not not ((2037 is a leap year.) a... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not not ((not not ((海王星是距离太阳第1近的行星。) and ((企鹅能飞翔。) or ((-5 * -3) >= (1 * 5 + -4 * 2))))) or (((地球是距离太阳第2近的行星。) and ((丹麦的货币是韩元。) and (二月有28天。))) or ((铅的化学符号是Cl。) and (((-6 * 12) > (2 ** 1)) or (硅的化学符号是Fe。))))))
B. not not (not not (((not (((-4 + 17) < (5 + -5) < (1 ** 3)) and (闪电不会两次击中同一个地方... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 83148477,
"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 not ((海王星是距离太阳第1近的行星。) and ((企鹅能飞... |
logic-v2 | Review these logical expressions:
A. (20 - -16) > (1 - 1)
B. (-16 - 19) <= (2 ** 3)
C. ((228 is a perfect square.) or ((-16 - -15) <= (1 * -5 + -9 * -7))) or ((The currency of Canada is the Dollar.) or (The currency of Sweden is the Krona.))
D. ((The capital of Nigeria is Abuja.) or (The currency of Nigeria is the Nai... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 74298814,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (20 - -16) > (1 - 1)\nB. (-16 - 19) <... |
logic-v2 | 分析以下逻辑表达式：
A. (((((((7 * 0 + -6 * -9) != (10 * -19)) or (企鹅是鱼类。)) and ((2 ** 1) >= (9 % 3))) and ((10 - -3) > (3 * 12))) or ((地球是距离太阳第3近的行星。) or (not ((2020年是闰年。) or (223是斐波那契数。))))) or (not not ((((苏联解体发生在1990年。) or ((8 * -4 + 0 * -10) != (-7 + 0))) and (中国的货币是人民币。)) and (((一月有31天。) or ((-3 + 14) >= (16 - -6))) or ((... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 80004923,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (((((((7 * 0 + -6 * -9) != (10 * -19)) or (企鹅是鱼类。)) and ((2 **... |
logic-v2 | 给定以下布尔表达式：
A. (not ((((14 * -20) < (4 ** 2) < (-6 - -14)) and (not not (not ((3 * 8 + -5 * -9) <= (-20 + -14))))) or (((-18 + -20) < (-19 * 19)) or (not not (人类有4条腿。))) or (((((12 % 4) > (-4 - -20)) or (木头在常温下是固体。)) or (火星是距离太阳第4近的行星。)) and (41小于等于25。)))) or ((((((7 * 3 + -2 * 2) == (-16 - -15)) and (马来西亚的货币是克朗。)) or ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 82305256,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not ((((14 * -20) < (4 ** 2) < (-6 - -14)) and (not not (not ((... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((not not ((not ((瑞士的货币是加元。) and (1908年奥运会在伦敦举办。))) and (((海王星是距离太阳第8近的行星。) and ((-11 - 17) <= (17 * -12))) or (人体有206块骨头。)))) or ((((((17 % 4) >= (20 - 15)) and ((13 - 5) <= (18 * -9))) and (((18 + -1) <= (12 % 6)) or ((7 * 0 + -1 * -8) < (6 * -2 * -3 * 8) < (16 + -12)))) and (not ((2004年奥运会在雅典举... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 49127700,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not ((not not ((not ((瑞士的货币是加元。) and (1908年奥运会在伦敦举办。))) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not (((印度位于亚洲。) or (蜘蛛是昆虫。)) or (not (((火星是距离太阳第4近的行星。) and ((-17 - -6) != (-15 + -20))) or ((人类只使用了大脑的10%。) or (磷的化学符号是Cl。)))))) and ((not not (not (水星是距离太阳第1近的行星。))) and ((not (not not ((泰坦尼克号沉没发生在1912年。) or ((5 % 7) >= (-17 + 17))))) or (not not (((火烈鸟是鸟类。) and (61是质数。)) and (not (火星是距离太阳第... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 50529270,
"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 (((印度位于亚洲。) or (蜘蛛是昆虫。)) or (not (((火星是距离太阳第4近... |
logic-v2 | Consider the following logical expressions:
A. ((((1 ** 3) > (1 * 14)) and (1948 is a leap year.)) and ((There are 31 days in March.) or (not ((2 % 5) <= (12 % 3))))) or ((Saudi Arabia is in Asia.) and (The 1972 Olympics were held in Munich.)) or (not (((-15 - 20) == (7 - 7)) or (not (The currency of Japan is the Yen.... | {
"game_data": {
"answer": "A,B,C,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 56694216,
"true_count": 6
},
"question": "Consider the following logical expressions:\n\nA. ((((1 ** 3) > (1 * 14))... |
logic-v2 | Study the following logical statements:
A. not (not (((((15 * 8) >= (-7 * -2)) and (not ((-13 + -14) <= (-11 + 16) <= (3 * -9 - 7 * -5)))) or ((not (The chemical symbol for Chlorine is P.)) and (not (The 1920 Olympics were held in Antwerp.)))) or (not (not not (The 1952 Olympics were held in Seoul.)))))
B. not ((((not... | {
"game_data": {
"answer": "A,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 62890912,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. not (not (((((15 * 8) >= (-7 ... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (((镍的化学符号是Mn。) or ((((8 - 18) < (3 ** 3)) and (蝙蝠是瞎的。)) or ((铀的化学符号是Si。) and ((7 * -4 - -9 * -2) >= (-2 * -5))))) and (金星是距离太阳第6近的行星。) and (not not (1976年奥运会在蒙特利尔举办。)))) and ((not not (((-2 + 19) < (-3 * -10 - -3 * 6)) or (((33 % 8) >= (18 - 2)) or (((-10 * -6 - 8 * -9) >= (-3 + -3)) or ((6 * 8 ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 22477100,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (not not (((镍的化学符号是Mn。) or ((((8 - 18) < (3 ** 3)) and (蝙蝠是瞎的。))... |
logic-v2 | 检验这些表达式：
A. (((月球绕地球运转。) or (((966是斐波那契数。) or ((1 + -16) <= (17 * 12))) and (土耳其的货币是澳元。))) and ((not not (意大利位于欧洲。)) and (((3 ** 3) < (-4 * 1 * 5 * 2) < (7 - -12)) or (新加坡的货币是新加坡元。)) and ((((8 * 5 * 2 * -4) == (42 % 10)) or (91是完全平方数。)) and (第一次世界大战结束发生在1918年。)))) or ((((not (氮气在常温下是气体。)) or ((3 ** 3) < (-3 - 19))) an... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 9865605,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((月球绕地球运转。) or (((966是斐波那契数。) or ((1 + -16) <= (17 * 12))) and (... |
logic-v2 | Analyze these boolean expressions:
A. (Oxygen is necessary for human survival.) or (2025 is a leap year.) or (not not (not not (188 is an odd number.)))
B. not ((The chemical symbol for Silicon is Si.) and ((A bird has 2 legs.) or (The chemical symbol for Sodium is P.)))
C. ((18 - -17) >= (5 * -8 + 1 * 9)) and (((-5 *... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 47106315,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (Oxygen is necessary for human survival.... |
logic-v2 | Analyze these boolean expressions:
A. (not (not ((not not (Saturn is the 2nd planet from the Sun.)) and (not (Iron is a gas at room temperature.))))) and ((((not ((9 + -15) > (6 * -19))) or ((-9 * -14) > (5 ** 3))) or (not (not not ((11 - -1) <= (1 ** 2) <= (8 * 7))))) and ((((19 % 10) >= (3 ** 3)) and (The capital of... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 98964126,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not (not ((not not (Saturn is the 2nd pla... |
logic-v2 | Given the following boolean expressions:
A. The Moon orbits the Earth.
B. (((Copper is a gas at room temperature.) and (The 1976 Olympics were held in Paris.)) and ((3 - -5) != (14 - -6))) and (A human has 4 legs.) and (((((1 ** 2) > (17 - 9)) and (The currency of Philippines is the Peso.)) or ((Saturn is the 6th plan... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 88643979,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. The Moon orbits the Earth.\nB. (((Co... |
logic-v2 | Review these logical expressions:
A. not not ((not ((not not (not not (The currency of Denmark is the Krone.))) and (((-15 * 8) == (4 ** 3)) or ((5 ** 2) == (-2 + -3))))) or ((not (not not (not (A fly is an insect.)))) or (((4 * 0 * 3 * 7) <= (4 ** 2) <= (7 * 16)) or (The 1924 Olympics were held in Paris.) or ((((3 - ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 27561287,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not not ((not ((not not (not not (The... |
logic-v2 | Study the following logical statements:
A. ((Nigeria is in South America.) and (Jupiter is the 5th planet from the Sun.)) or (not not (The capital of Vietnam is Hanoi.))
B. ((Gold is a gas at room temperature.) or (19 is a perfect square.)) and (not not ((-13 + 11) != (17 + -17)))
C. (2 - -15) <= (3 ** 1) <= (2 ** 1)
... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 96429089,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. ((Nigeria is in South America.) and (... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((智利的货币是比索。) or (土耳其的首都是安卡拉。)) or (企鹅能飞翔。)
B. not ((not (91是完全平方数。)) and (((5 ** 2) <= (-8 * -10 - 1 * -7)) or ((0 * -1 + 0 * 6) != (16 + 17))))
C. (((墨西哥的货币是比索。) and ((-7 * -16) <= (6 * -8 * 10 * 6))) and (not not (1946年是闰年。))) or ((5 + 7) > (25 % 5))
D. (not not ((三月有29天。) or ((-15 - -12) <=... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 94246699,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((智利的货币是比索。) or (土耳其的首都是安卡拉。)) or (企鹅能飞翔。)\nB. no... |
logic-v2 | Evaluate each expression below:
A. ((not not (not not (The 1960 Olympics were held in Montreal.))) and (not (((17 + -19) != (15 + 11)) and ((25 % 10) != (5 * 17))))) and ((The capital of Nigeria is Mexico City.) and (((The capital of Netherlands is Brussels.) or (Mars is the closest planet to the Sun.)) and ((A elepha... | {
"game_data": {
"answer": "C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 47724734,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. ((not not (not not (The 1960 Olympics w... |
logic-v2 | Evaluate each expression below:
A. ((9 + 15) >= (18 + -18)) and ((New Zealand is in Africa.) or (The chemical symbol for Nitrogen is Mg.))
B. (not not ((-18 + 20) != (20 * -19))) and ((99 is divisible by 9.) or ((5 ** 3) < (5 * -4 - 3 * 3) < (-9 - -14)))
C. ((2 - -7) <= (-18 + -3) <= (16 + -14)) and (not ((20 + -5) >=... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 31464760,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. ((9 + 15) >= (18 + -18)) and ((New Zealand ... |
logic-v2 | 给定以下布尔表达式：
A. (not (not (((0 * 6 - 2 * 2) != (-7 * 8 * -1 * -8)) or ((2070年是闰年。) or ((-20 - 18) == (-5 + 19)))))) and (not (not not ((81的平方根是9。) and (孔雀是鱼类。))))
B. ((((1 ** 2) != (-7 * -10)) or ((11 - 0) > (6 * 2 + -1 * 10)) or (69是奇数。)) or ((not not (氧的化学符号是O。)) or (not (地球绕太阳运转。))) or (((-3 * 9) > (-2 * -1 + -9 * -8... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 71044795,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (not (not (((0 * 6 - 2 * 2) != (-7 * 8 * -1 * -8)) or ((2070年是... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not (not not ((not ((5 ** 1) >= (1 ** 2))) or ((13 * -13) >= (2 + 9)))))
B. (not ((((-10 + 1) <= (-10 * -13)) and (not not (129 is an odd number.))) and (not (not (1963 is a leap year.))))) or (((The 1912 Olympics were held in Stockholm.) or ((17 * -18) > ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 27326269,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not (not not ((no... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((((3 % 10) <= (-9 - -13) <= (-5 * 1 * 0 * 10)) or (美国的货币是美元。)) and (氦气在常温下是气体。))
B. not not (((1 ** 1) <= (-7 * 4 - 6 * -9)) or (新西兰位于大洋洲。))
C. not (((19 % 9) < (20 * -3)) or (((-20 + -4) == (6 * 9 + -6 * 8)) or ((3 ** 3) != (13 + 14))))
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 53185261,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((((3 % 10) <= (-9 - -13) <= (-5 * 1 * 0 * 10)) ... |
logic-v2 | 给定以下布尔表达式：
A. not not (not ((((2012年奥运会在伦敦举办。) or (捷克的首都是东京。)) or ((not not (钙的化学符号是Ti。)) or (西班牙位于欧洲。))) or (巴西位于亚洲。) or ((not not (天王星是距离太阳第7近的行星。)) or (((4 ** 3) == (48 % 5)) or (((9 + -19) < (-7 * -5 * 7 * -6)) and (土星是距离太阳第6近的行星。))))))
B. not (not not (((not not (not not ((-1 * 12) >= (-20 * 1)))) or ((((16 % 2) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 6593429,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not not (not ((((2012年奥运会在伦敦举办。) or (捷克的首都是东京。)) or ((not not (钙的化学... |
logic-v2 | 检验这些表达式：
A. not (((阿根廷位于南美洲。) or (苏联解体发生在1989年。)) or (((-4 * 5 - 6 * 5) > (0 - 8)) or (钴的化学符号是Co。)))
B. ((986是斐波那契数。) and ((1920年奥运会在安特卫普举办。) or ((-4 - -13) == (-20 + -6)))) or (1996年奥运会在亚特兰大举办。)
C. not ((50 % 8) >= (12 * -12))
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 49587143,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not (((阿根廷位于南美洲。) or (苏联解体发生在1989年。)) or (((-4 * 5 - 6 * 5) > (0 - 8... |
logic-v2 | 审视以下逻辑表达式：
A. not ((地球是距离太阳第6近的行星。) and ((智利的首都是曼谷。) and (新加坡的首都是莫斯科。)))
B. ((-18 - -10) <= (-15 * 20) <= (4 ** 2)) and ((7 * 4) > (2 * 6 + -8 * -1))
C. ((not (火星是距离太阳第4近的行星。)) and (((1 % 9) < (2 * -10 - -2 * 10) < (19 - -10)) or (银在常温下是气体。))) or ((土星是距离太阳第6近的行星。) or (((-20 * 13) > (-14 - 17)) and ((-9 * -3 * 0 * -7) ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 49424444,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not ((地球是距离太阳第6近的行星。) and ((智利的首都是曼谷。) and (新加坡的首都是莫斯科。)))\nB. (... |
logic-v2 | 给定以下布尔表达式：
A. ((not not ((27 % 8) < (6 * 9 - 0 * -3))) and ((((印度的首都是新德里。) or (1976年是闰年。)) and (not (2018年是闰年。))) and (not not (not (1960年奥运会在罗马举办。))))) and (not not ((not ((龙虾有10条腿。) or ((5 ** 1) >= (0 + 5)))) or (not not ((太阳绕地球运转。) or (二氧化碳在常温下是液体。)))))
B. (not ((not not (((2 * -2 * 6 * -7) >= (43 % 7)) and (372是完全... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 46868608,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((not not ((27 % 8) < (6 * 9 - 0 * -3))) and ((((印度的首都是新德里。) o... |
logic-v2 | 检验这些表达式：
A. not ((((5 ** 1) < (-1 * 20)) and ((48 % 5) < (9 + -6) < (-20 + 13))) or (not (月球绕地球运转。)))
B. ((((11 + 12) == (-2 * 16)) and (挪威的首都是赫尔辛基。)) and (((4 + 7) <= (16 + -4)) or ((5 % 1) >= (8 * -6)))) and ((7 * 3 * 6 * -9) <= (12 * 2) <= (16 - 10))
C. (((64的平方根是8。) and (1964年奥运会在东京举办。)) or (十二月有29天。)) or ((-14 + ... | {
"game_data": {
"answer": "A,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 83771796,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not ((((5 ** 1) < (-1 * 20)) and ((48 % 5) < (9 + -6) < (-20 + 1... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not ((not (氖的化学符号是C。)) and ((((-8 * 2 - -3 * 4) == (2 + -11)) or ((6 + 4) != (1 - -3))) or (766是斐波那契数。)))) or ((((((-1 * 8) > (11 * 3)) or ((-9 + -4) < (-11 + 6))) or (((-1 * 2 - 2 * 2) >= (-9 + 6)) and (氮气在常温下是气体。))) and (((-9 - -17) > (-12 + -12)) and (not ((12 % 9) != (8 * -19))))) and (no... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 98878425,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not ((not (氖的化学符号是C。)) and ((((-8 * 2 - -3 * 4) == (2 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((not not (((13 * 10) <= (19 - 6) <= (6 * 7 * 4 * 8)) and (The currency of European Union is the Euro.))) and ((2 ** 3) >= (21 % 9))) and ((not not ((-5 - 11) == (10 * 5 + 7 * -6))) or (((8 - -7) >= (-10 * 3 + -5 * 9)) and (((14 % 4) <= (8 - -13)) and ((10 * 3 * 6... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 58620487,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((not not (((13 *... |
logic-v2 | 检验这些表达式：
A. not ((not not (not not (((28 % 3) == (4 * 3 + -3 * 10)) or ((10是质数。) and ((4 * 14) > (-13 * 5)))))) and (not ((not not (82能被5整除。)) or ((鲸鱼是鱼类。) or ((-16 + 4) <= (9 * -17))))) and (not ((not not (512是斐波那契数。)) or (not ((26 % 1) == (15 + -20))))))
B. not not ((not not (not not (((-1 - -3) == (43 % 6)) or ((19... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 84089295,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not ((not not (not not (((28 % 3) == (4 * 3 + -3 * 10)) or ((10是... |
logic-v2 | 审视以下逻辑表达式：
A. 伦敦大火发生在1664年。
B. (伦敦大火发生在1666年。) or (not not (油在常温下是液体。))
C. (not not (鹦鹉是哺乳动物。)) or (not (1948年奥运会在伦敦举办。))
D. 1976年奥运会在巴黎举办。
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 14353952,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. 伦敦大火发生在1664年。\nB. (伦敦大火发生在1666年。) or (not not (油在常温下是液体。))\nC. (no... |
logic-v2 | 评估以下每个表达式：
A. ((not not (意大利位于欧洲。)) or (((8 - 5) != (-16 * -4)) or ((-18 - 14) < (-8 + 11) < (5 ** 1))) or ((not not ((4 * 3 * -9 * -3) <= (7 % 4))) and (氧气在常温下是液体。))) and (not not (((地球上一天是24小时。) or (秘鲁位于亚洲。)) or (not not (印度尼西亚的首都是斯德哥尔摩。))))
B. (((((3 * -8 * 8 * -8) <= (-9 * 3 + -1 * 7)) and ((-11 + -12) < (5 ** 2) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 82584185,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((not not (意大利位于欧洲。)) or (((8 - 5) != (-16 * -4)) or ((-18 - 14) <... |
logic-v2 | Evaluate each expression below:
A. (((7 * 18) >= (11 - 19)) and ((Egypt is in Africa.) and ((-8 - 14) <= (9 * -20))) and (The 2008 Olympics were held in Beijing.)) or (not (((3 ** 2) == (14 * -20)) or (not not ((12 * 18) <= (-16 - 0) <= (10 * -15)))))
B. (not ((not ((-1 + -3) != (3 * 4))) and ((1950 is a leap year.) o... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 42493770,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (((7 * 18) >= (11 - 19)) and ((Egypt is i... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 地球上一天是24小时。
B. ((俄罗斯位于北美洲。) and ((2 - -4) != (-3 * 2 + 6 * -1))) or ((人类有三个肺。) or ((2 * -15) > (11 + 16)))
C. 秘鲁位于南极洲。
D. ((巴西的首都是巴西利亚。) or (44是斐波那契数。)) or (1928年奥运会在巴黎举办。)
E. not (not (日本的首都是罗马。))
F. (((19 - 6) <= (2 ** 2)) or (泰坦尼克号沉没发生在1912年。)) or (((30 % 3) < (12 - -16)) and ((13 * 20) == ... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 44791675,
"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. 地球上一天是24小时。\nB. ((俄罗斯位于北美洲。) and ((2 - -4) != (-3 *... |
logic-v2 | 研究以下逻辑语句：
A. not not ((汞在常温下是固体。) or ((((17 + 18) == (-10 + -13)) or (蝙蝠是瞎的。)) and ((企鹅能飞翔。) and (土星是距离太阳第6近的行星。))))
B. not not (not not (((汞在常温下是液体。) and ((26 % 9) != (16 - 9))) or ((1 * 2) <= (-16 - -8) <= (5 ** 1))))
C. not (((水星是距离太阳第1近的行星。) and (not ((5 ** 1) <= (-1 + -15)))) and (not (((6 - -4) <= (2 * 7 * 8 * 4... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 17528245,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not ((汞在常温下是固体。) or ((((17 + 18) == (-10 + -13)) or (蝙蝠是瞎的。))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((3 * -10 - -7 * -10) >= (11 + -9)) and (1896年奥运会在东京举办。)) and (空气在常温下是固体。)) or (not (not ((-8 + -5) >= (2 * -4 * 8 * 10))))) and ((not (((-14 + 7) == (-9 * -4 + 5 * 2)) or (加拿大的货币是泰铢。))) or ((((2 ** 3) != (4 ** 3)) and (542是斐波那契数。)) or ((三月有28天。) or (1989年是闰年。))))
B. not not ((not (not ((-3 + 5)... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 38192259,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((3 * -10 - -7 * -10) >= (11 + -9)) and (1896年奥运会在东京举... |
logic-v2 | 考虑以下布尔表达式：
A. not (((越南的货币是越南盾。) and ((15 + -1) < (-9 - -16) < (1 ** 2))) and (not not (2008年奥运会在北京举办。)) and (not not ((-16 + -4) >= (30 % 10))))
B. (not (((泰国位于北美洲。) and (加拿大的首都是东京。)) or (not ((4 ** 1) > (2 * -2 - 0 * -6))))) and (((7 + -12) > (-4 * -6)) and (((-6 * 4 * 3 * 6) >= (16 + -19)) and ((25 % 5) < (-6 * 11)... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 38288632,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not (((越南的货币是越南盾。) and ((15 + -1) < (-9 - -16) < (1 ** 2))) an... |
logic-v2 | 审视以下逻辑表达式：
A. ((((36 % 2) != (5 - 0)) or ((3 * 16) < (2 * -5 * 2 * -1) < (5 - 15)) or (not (not not (蜘蛛有8条腿。)))) or (not not (南非位于非洲。))) or ((not (意大利位于欧洲。)) and ((((-13 + 18) < (-11 - -17) < (6 + -12)) and ((第一次世界大战结束发生在1918年。) and (木星是距离太阳第5近的行星。))) or (not ((15 - -16) < (-20 - 17) < (12 - -15))) or ((25的平方根是1。) or ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 34599421,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((((36 % 2) != (5 - 0)) or ((3 * 16) < (2 * -5 * 2 * -1) < (5 - ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 水星是距离太阳第5近的行星。
B. not (印度尼西亚的货币是克朗。)
C. (2032年是闰年。) and (not not (2008年奥运会在里约热内卢举办。))
D. ((火星是距离太阳第4近的行星。) and (南非的货币是兰特。)) and ((45能被4整除。) or (中国位于南美洲。))
E. not not (not ((-4 * -10 * 7 * 4) > (9 - -10)))
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",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 72488449,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. 水星是距离太阳第5近的行星。\nB. not (印度尼西亚的货币是克朗。)\nC. (2032年是闰年。) a... |
logic-v2 | Study the following logical statements:
A. 100 is greater than 16.
B. The capital of Denmark is Budapest.
C. Iron is a solid at room temperature.
D. (((20 * -6) < (8 * 7) < (-12 + 0)) or (The chemical symbol for Chlorine is Cl.)) and ((8 * -14) < (10 * 16))
E. ((102 is a Fibonacci number.) and ((-17 - 12) >= (-20 + -1... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 30364799,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. 100 is greater than 16.\nB. The... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (The currency of Norway is the Rupee.)
B. ((A horse has 4 legs.) or ((9 * -3 + 0 * -4) > (-10 * 18))) or ((2026 is a leap year.) and ((Ice is a solid at room temperature.) or (Uranus is the 1st planet from the Sun.)))
C. (((-8 - -5) >... | {
"game_data": {
"answer": "A,B,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 5523554,
"true_count": 7
},
"question": "Evaluate the following boolean expressions and select the ones that are ... |
logic-v2 | Below are several boolean expressions:
A. (2 - 14) >= (5 ** 1)
B. not not ((There are 31 days in January.) and ((-10 + 9) == (-6 * -16)))
C. (5 ** 3) <= (-19 * -2) <= (-2 + 0)
D. not ((-3 * 5 * 4 * 1) <= (16 - 2))
E. ((46 is a prime number.) and (The 1960 Olympics were held in Rome.)) or (Copper is a solid at room tem... | {
"game_data": {
"answer": "E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 42999397,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (2 - 14) >= (5 ** 1)\nB. not not (... |
logic-v2 | 下面是几个布尔表达式：
A. ((肯尼亚的首都是内罗毕。) or (水蒸气在常温下是气体。)) or ((2 % 10) < (17 - 18))
B. (水蒸气在常温下是气体。) or (not not ((4 * -3) <= (9 * 4 * -10 * 0) <= (8 + 4)))
C. not not (162是斐波那契数。)
D. (11 + 13) < (3 + -15) < (-9 * -5 * 2 * -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": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 47573566,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. ((肯尼亚的首都是内罗毕。) or (水蒸气在常温下是气体。)) or ((2 % 10) < (17 - 18))\nB. ... |
logic-v2 | 给定以下布尔表达式：
A. ((not not ((三月有31天。) or ((12 - 14) < (-3 * -4 * -7 * 9)))) or (二月有28天。)) and (((海豚是哺乳动物。) and (氦气在常温下是气体。)) and ((9 * -6 + 9 * 7) <= (-12 * 0))) and (((((50 % 6) < (1 ** 3)) or (水星是距离太阳第7近的行星。)) or (((-1 * -9 - -8 * -10) <= (2 ** 2)) and (氮的化学符号是Na。))) or ((空气在常温下是液体。) or ((-19 * 12) != (-5 * 15))) or ((... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 56131680,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((not not ((三月有31天。) or ((12 - 14) < (-3 * -4 * -7 * 9)))) or (二... |
logic-v2 | 给定以下布尔表达式：
A. ((not ((((-18 + 18) == (14 - -18)) or (2004年奥运会在雅典举办。)) or (1904年奥运会在东京举办。))) or ((not ((加拿大的货币是加元。) or ((2 * 6 * 6 * -10) > (10 * 0)))) or ((1984年奥运会在洛杉矶举办。) or (((3 ** 2) == (-5 * -9 + 5 * 7)) and (1936年奥运会在斯德哥尔摩举办。))))) and ((((11 % 8) < (-13 - 7)) and ((越南位于亚洲。) and ((11 - 10) > (19 * 20))) and (not ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 55270965,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((not ((((-18 + 18) == (14 - -18)) or (2004年奥运会在雅典举办。)) or (1904年奥... |
logic-v2 | Examine these expressions:
A. not not (not not ((42 is a prime number.) or (Water boils at 100 degrees Celsius at sea level.)))
B. (not ((79 is divisible by 12.) or ((2 ** 1) > (-5 - -13)))) or (((4 * -18) != (5 * 0)) or (South Africa is in Africa.)) or ((A bee is an insect.) and ((Mercury is a gas at room temperature... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 93757601,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (not not ((42 is a prime number.) or (... |
logic-v2 | 给定以下布尔表达式：
A. (希腊的首都是曼谷。) or (((5 * -6) < (-6 * -8 + 8 * 2) < (13 - -11)) or ((8 * -8 - 6 * -8) <= (4 ** 1))) or (地球是距离太阳第1近的行星。)
B. ((9 * -7 - -8 * 5) >= (-3 * 4 - 4 * -8)) or ((十一月有30天。) and (36的平方根是2。)) or ((not not (西班牙位于欧洲。)) and (((-4 + 9) < (1 * -18) < (12 + -10)) or ((12 + -4) > (38 % 6))))
C. not not ((哥伦比亚位于... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 81474777,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. (希腊的首都是曼谷。) or (((5 * -6) < (-6 * -8 + 8 * 2) < (13 - -11)) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not ((Oil is a liquid at room temperature.) and (Water is a solid at room temperature.)))
B. (not not (World War I ended occurred in 1918.)) or (Neptune is the 2nd planet from the Sun.) or (((17 + -15) <= (7 * -8)) and (South Kor... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 31669691,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 给定以下布尔表达式：
A. (not (((not not (((-10 * -3 + -6 * 7) == (6 % 4)) and (水蒸气在常温下是液体。))) and (not not (1的平方根是12。))) or (钛的化学符号是Ti。) or (((-8 * 2 * -6 * -4) != (10 * 3 - 3 * -5)) and ((十月有31天。) or ((3 - -15) == (-4 - 5))) and (((沙特阿拉伯的首都是利雅得。) and ((-18 * -6) != (17 + 1))) and (((1 * -5 - 0 * -7) != (-15 - 13)) and (秘鲁位于南美洲... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 62860815,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not (((not not (((-10 * -3 + -6 * 7) == (6 % 4)) and (水蒸气在常温下是液... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not (A butterfly has 6 legs.)) and (not (not not ((The capital of Czech Republic is Singapore.) or (The capital of Spain is Madrid.))))) or (((not (((6 + -14) <= (7 * -17) <= (4 - -1)) or ((20 + 8) > (-19 + 18)))) or (not ((The human bo... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 29094189,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Analyze these boolean expressions:
A. ((The currency of Norway is the Krone.) or ((not not (Steam is a solid at room temperature.)) and (not ((5 * -18) != (33 % 4))))) and (((not (Plants produce oxygen through photosynthesis.)) and ((A chicken has 4 legs.) and (The currency of New Zealand is the Dollar.))) or ((((5 **... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 20245208,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((The currency of Norway is the Krone.) ... |
logic-v2 | Examine these expressions:
A. (not not (Spiders are insects.)) or ((The capital of New Zealand is Wellington.) or (The 2000 Olympics were held in London.))
B. (((-10 - -12) >= (15 - -2)) and (Mars is the 3rd planet from the Sun.)) and ((13 % 3) < (-15 + 1) < (20 - 11))
C. (-20 + 3) < (-1 - -2)
D. (((1 ** 1) == (19 + -... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 95225075,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (not not (Spiders are insects.)) or ((The ca... |
logic-v2 | 研究以下逻辑语句：
A. (not not (((丹麦的货币是克朗。) and ((-14 * 1) < (12 % 9))) or ((蝙蝠是瞎的。) and (氦的化学符号是Ne。)))) or (not (马来西亚的货币是林吉特。))
B. not not (((((3 ** 2) <= (-9 - -6)) and (1923年是闰年。)) or ((智利的货币是比索。) or (墨西哥的首都是墨西哥城。))) and (((-9 * -5 + -8 * 9) > (-9 - 8)) or (19能被3整除。)))
C. not not ((((土星是距离太阳第6近的行星。) and ((-6 * 7 + -8 * -6)... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 63677287,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not not (((丹麦的货币是克朗。) and ((-14 * 1) < (12 % 9))) or ((蝙蝠是瞎的。)... |
logic-v2 | 给定以下布尔表达式：
A. (-20 - 14) <= (-4 - 12)
B. (not ((-8 * 4) >= (-10 * -1 * 5 * 7))) and (not (声音在真空中传播更快。))
C. (not (二氧化碳在常温下是气体。)) and (not not (2001年是闰年。))
D. ((77是质数。) or (苏联解体发生在1991年。)) or (((-17 + 13) >= (11 + -13)) and ((-7 * 8 + 7 * -4) < (-1 * -6 - 3 * 7)))
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,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 36450332,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (-20 - 14) <= (-4 - 12)\nB. (not ((-8 * 4) >= (-10 * -1 * 5 * ... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((瓢虫是昆虫。) and ((海王星是距离太阳第8近的行星。) and (蜘蛛是昆虫。))) and (((29是质数。) and (鹦鹉是鸟类。)) or (not not (空气在常温下是气体。))))
B. not (((((3 * 12) < (5 * 1 - -9 * -6)) or ((-10 * -3 - 9 * -1) <= (-5 - -2))) or ((钠的化学符号是Pb。) or (1912年奥运会在伦敦举办。))) or (((-4 - 0) <= (-6 * -4 + -5 * -7) <= (11 % 4)) and (火星是距离太阳第4近的行星。)) ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 70313258,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not (((瓢虫是昆虫。) and ((海王星是距离太阳第8近的行星。) and (蜘蛛是昆虫。))) and (((... |
logic-v2 | Examine these expressions:
A. not not ((((not not (Diamonds are made of carbon.)) and (not not ((1 ** 1) <= (-2 - 3) <= (1 ** 3)))) or (((A spider has 8 legs.) or ((1 - 9) > (-16 * 12))) and ((Neptune is the 8th planet from the Sun.) or ((-6 * -13) >= (48 % 7))))) or ((not not ((2 ** 3) != (0 - 4))) or (The 1972 Olymp... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 83371318,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not ((((not not (Diamonds are made of carbon... |
logic-v2 | 研究以下逻辑语句：
A. (not not (not not ((196的平方根是10。) or (七月有29天。)))) or (not not ((((not ((-16 * 6) <= (-18 - 10) <= (-4 + 7))) and (伦敦大火发生在1668年。)) or ((((-7 * -1 * 9 * 3) <= (-7 * 9)) and (甲虫是昆虫。)) and (not not (意大利位于欧洲。)))) or (((-18 * 15) != (17 * -4)) or (not not (not not (1920年奥运会在安特卫普举办。))))))
B. not not ((not (not no... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 15256584,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not not (not not ((196的平方根是10。) or (七月有29天。)))) or (not not ((... |
logic-v2 | 评估以下每个表达式：
A. ((431是斐波那契数。) or (1996年奥运会在圣路易斯举办。)) or (声音无法在真空中传播。) or ((5 * -4 * 1 * -7) > (-4 - 1))
B. ((not not (第一次世界大战开始发生在1914年。)) or ((瑞士的货币是瑞士法郎。) or ((7 - -16) <= (-8 * -13) <= (-1 - 19)))) or (not ((-4 * 1) > (44 % 4)))
C. (((海王星是距离太阳第8近的行星。) and ((7 * -1 * 10 * 1) <= (34 % 7))) and (((5 - -13) >= (3 ** 1)) ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 56590497,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((431是斐波那契数。) or (1996年奥运会在圣路易斯举办。)) or (声音无法在真空中传播。) or ((5 * -... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((第二次世界大战开始发生在1939年。) and ((肯尼亚的首都是内罗毕。) and ((12 - -7) != (-10 + 19)))) or ((5 ** 3) < (23 % 10))
B. (((-5 * 6 * -1 * -9) == (10 * 4)) and (((-15 + 6) >= (5 ** 3)) and ((15 % 2) != (30 % 5)))) or ((氧气对人类生存是必需的。) and (not ((-1 * 10 - 6 * -4) < (-13 * -13))))
C. not ((-12 + -7) < (2 * 4 * 9 * -... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 44883287,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((第二次世界大战开始发生在1939年。) and ((肯尼亚的首都是内罗毕。) and ((12... |
logic-v2 | 研究以下逻辑语句：
A. (((火星是距离太阳第4近的行星。) or (海王星是距离太阳第2近的行星。)) and (not (2020年奥运会在巴黎举办。))) or ((-11 - -2) != (0 * 6 + 10 * -10))
B. ((-4 - 19) <= (-12 - -5)) and (((-9 * -5 - -5 * 5) >= (9 + -15)) or ((6 - 7) <= (6 * 1 + -9 * 2))) and ((((-19 - 5) <= (8 * 7 * 3 * -10) <= (11 - 1)) or (沙特阿拉伯的货币是兰特。)) and ((2017年是闰年。) and (氦气在常温... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 46215538,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (((火星是距离太阳第4近的行星。) or (海王星是距离太阳第2近的行星。)) and (not (2020年奥运会在巴黎举... |
logic-v2 | 给定以下布尔表达式：
A. (-8 - -15) <= (7 + 7)
B. 天王星是距离太阳第7近的行星。
C. (-19 - 3) <= (6 * 0 + -4 * 6)
D. (埃及位于欧洲。) and ((35是奇数。) and (空气在常温下是气体。))
E. ((土星是距离太阳第8近的行星。) and (钠的化学符号是Ca。)) or (土星是距离太阳第6近的行星。)
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,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 93748119,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (-8 - -15) <= (7 + 7)\nB. 天王星是距离太阳第7近的行星。\nC. (-19 - 3) <= (6 ... |
logic-v2 | Below are several boolean expressions:
A. (3 ** 3) < (8 - -2)
B. not not ((Copper is a gas at room temperature.) and (Nigeria is in Oceania.))
C. ((-16 + -17) > (4 * -7)) or (((-12 - 12) < (17 + -20)) and (India is in Asia.))
Identify all expressions that are true. Answer with the option labels separated by commas in... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 72097025,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (3 ** 3) < (8 - -2)\nB. not not ((Copp... |
logic-v2 | Analyze these boolean expressions:
A. not (((not ((5 ** 1) <= (9 * -17))) or (((((8 % 7) == (-12 - -14)) or (The 1976 Olympics were held in Montreal.)) or ((A whale is an insect.) or (The capital of Philippines is Budapest.))) and (The chemical symbol for Hydrogen is Ti.))) and ((((-6 * -1) < (-18 + 17)) or (not (((6 ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 85413890,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (((not ((5 ** 1) <= (9 * -17))) or (... |
logic-v2 | Analyze these boolean expressions:
A. (((12 - -5) <= (18 + 20)) or ((-1 * 5) < (-1 * 6 - -5 * -1))) or ((16 - -16) > (13 + 5))
B. The currency of Turkey is the Lira.
C. not not ((-7 * -2 + -7 * 7) <= (-8 * 18) <= (-20 - -17))
D. not not (((8 * -6) > (-6 * -10 - -10 * 6)) or ((7 - -14) >= (3 * 1)))
E. (Uranus is the 7t... | {
"game_data": {
"answer": "A,B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 39118483,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. (((12 - -5) <= (18 + 20)) or ((-1 ... |
logic-v2 | Consider the following logical expressions:
A. (not not (not (not ((((2 ** 1) >= (1 - -15)) and ((-3 * 8 * -6 * 10) <= (-9 + -4))) or ((The capital of Philippines is Tokyo.) or ((7 + 5) <= (-2 + -17))))))) and (not not (not not ((((2066 is a leap year.) and ((27 % 5) > (19 * -17))) and (((0 * -3 - -9 * 8) >= (1 ** 3))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 9310145,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not not (not (not ((((2 ** 1) >= ... |
logic-v2 | Below are several boolean expressions:
A. not (not not ((-16 + 2) == (10 * -3 - 1 * -4)))
B. ((18 % 2) >= (7 * -6 - 8 * -10)) and ((Nigeria is in Africa.) and ((3 - -14) < (-18 - -15)))
C. (((14 - 20) < (6 * -9)) and ((8 * 8 - -8 * -10) <= (15 + -11) <= (-2 + -14))) and ((The currency of China is the Yuan.) and (A cod... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 87183195,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not (not not ((-16 + 2) == (10 * -3 - ... |
logic-v2 | Below are several boolean expressions:
A. not (not not ((9 * -9 + -4 * 5) > (32 % 8)))
B. not ((-5 + -14) < (1 ** 3))
C. not ((not ((4 + 2) <= (3 * -1))) or (New Zealand is in Oceania.))
D. ((A fly is an insect.) or (((7 * -10 * 0 * 6) == (5 * 7 + 4 * 1)) and (Steam is a gas at room temperature.))) or ((The 1932 Olymp... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 66872872,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not not ((9 * -9 + -4 * 5) > (3... |
logic-v2 | 分析以下逻辑表达式：
A. ((((31 % 1) != (4 * -3 * 7 * 3)) or (俄罗斯位于北美洲。)) and (not not (空气在常温下是气体。))) and ((((19 + -6) > (-8 + 6)) and ((((-10 + -6) >= (-17 + -6)) or (泰坦尼克号沉没发生在1911年。)) or ((乌龟是鸟类。) and (苏联解体发生在1991年。)))) or ((not (伦敦大火发生在1676年。)) and ((1996年奥运会在柏林举办。) and (氢的化学符号是Cl。))) or ((not ((113是奇数。) or (海王星是距离太阳第8近的行星。)... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 41974121,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((((31 % 1) != (4 * -3 * 7 * 3)) or (俄罗斯位于北美洲。)) and (not no... |
logic-v2 | Below are several boolean expressions:
A. not (not ((((((-8 + -15) < (-19 - -15) < (-2 * 2 * 3 * 3)) and ((10 % 2) == (-7 * -6))) or (not not (57 is an even number.))) and (not not (Sharks are mammals.)) and (A dog has 4 legs.)) and (((((0 * 2 * -2 * 6) < (7 * 5)) or (2042 is a leap year.)) or (((-14 * 13) > (-9 - -13... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 87980142,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not ((((((-8 + -15) < (-19 - -1... |
logic-v2 | 检验这些表达式：
A. (((1900年奥运会在悉尼举办。) and (((-18 * 18) == (-19 * -14)) and (美国宣布独立发生在1786年。))) and ((6 * -10) > (5 * -4 * 5 * 8))) or (not not (((-9 * 10) >= (3 - 13)) or ((1 ** 1) > (-11 - -5)))) or (not (not not (not not (哥伦比亚的首都是斯德哥尔摩。))))
B. not not (((苏联解体发生在1991年。) and (人体有206块骨头。)) or (not not (not not ((-1 + 15) >= (... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 53665151,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (((1900年奥运会在悉尼举办。) and (((-18 * 18) == (-19 * -14)) and (美国宣布独... |
logic-v2 | Review these logical expressions:
A. not (The currency of Thailand is the Yen.)
B. (not ((A cockroach is a bird.) or ((42 % 7) > (7 - 4)))) and ((The chemical symbol for Platinum is O.) or (The 2004 Olympics were held in Athens.)) and (((1935 is a leap year.) and ((-13 * 3) > (-14 * 10))) and (A crocodile is a reptile... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 78762375,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not (The currency of Thailand is the Ye... |
logic-v2 | Review these logical expressions:
A. not ((1941 is a leap year.) and ((-7 - -6) <= (-4 * -6) <= (6 % 9)))
B. ((A alligator is a mammal.) and (There are 31 days in July.)) and (((0 * 6 - 2 * -7) == (-7 * -4 * -3 * -10)) or (98 is a perfect square.))
C. ((5 * -4 * -10 * 5) == (4 ** 2)) or (((17 + -15) >= (13 - 10)) or (... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 33912405,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((1941 is a leap year.) and ((-7 - ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (鸟有6条腿。) or ((((12 + -3) < (2 - -3)) or ((14 * -6) == (-15 + 2))) or (((16 - -6) <= (17 + -16)) or (木星是距离太阳第6近的行星。)))
B. not not (((第二次世界大战结束发生在1945年。) or ((-7 * 10 - -7 * 1) != (-3 + 6))) or ((-7 + -4) > (17 - -1)))
C. not ((青蛙有6条腿。) or (not ((-7 - 8) >= (39 % 2))))
找出所有为 True 的表达式。在 \boxed{} 中给出... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 74763738,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (鸟有6条腿。) or ((((12 + -3) < (2 - -3)) or ((14 * -6) == (-15 +... |
logic-v2 | Evaluate each expression below:
A. not (The 1912 Olympics were held in Stockholm.)
B. (The capital of Belgium is Brussels.) or (not ((Neptune is the 8th planet from the Sun.) or ((-19 + 2) <= (20 - 20))))
C. (not (The 2008 Olympics were held in Rio de Janeiro.)) and ((-20 + 20) <= (1 % 2)) and ((Lightning never strike... | {
"game_data": {
"answer": "B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 60668564,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. not (The 1912 Olympics were held in S... |
logic-v2 | Evaluate each expression below:
A. (not not ((3 * -12) < (15 + -9))) or ((The chemical symbol for Silicon is He.) and ((20 * 13) < (1 ** 1)))
B. (((-19 + 19) <= (2 * 7 + 5 * 3)) or (The 1960 Olympics were held in Moscow.)) and (Uranus is the 5th planet from the Sun.)
C. (not (75 is divisible by 9.)) and ((-15 * 8) > (... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 46418736,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not not ((3 * -12) < (15 + -9))) or ((Th... |
logic-v2 | Examine these expressions:
A. Japan is in Asia.
B. ((-2 - -11) < (10 * 9 + -10 * -7)) and ((32 % 8) == (-10 + 14))
C. (A fish has 4 legs.) or ((-9 * 10 - 4 * -4) <= (0 * 3) <= (-9 * -9 + 8 * 6))
D. ((13 - -5) >= (7 - -8)) and (not (The 1932 Olympics were held in Mexico City.))
E. not not ((The currency of India is the... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 30149823,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. Japan is in Asia.\nB. ((-2 - -11) < (10 * 9 ... |
logic-v2 | Study the following logical statements:
A. The Pacific Ocean is the largest ocean.
B. (not not (not not ((not not ((The capital of Indonesia is Beijing.) and (The chemical symbol for Platinum is Pt.))) or ((5 * -18) == (15 * 0))))) and (not ((The human body has 150 bones.) or (The currency of United States is the Doll... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 45963205,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. The Pacific Ocean is the largest ocea... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((袋鼠有2条腿。) and (1900年奥运会在里约热内卢举办。)) or ((15 - 20) < (17 * 11))) or ((not not (1920年奥运会在安特卫普举办。)) and (not not (哥伦比亚位于南美洲。)))) and ((not (((12 - 12) < (4 - -12)) or (澳大利亚的首都是堪培拉。))) or ((((43 % 7) <= (-18 * -19)) and ((-11 + -8) <= (11 * -20))) or (not ((8 + -2) <= (-2 + 7) <= (14 - 9)))))
B.... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 79379615,
"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. ((((袋鼠有2条腿。) and (1900年奥运会在里约热内卢举办。)) or ((15 - 20)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (2 - -15) < (43 % 3)
B. not not ((The United States declared independence occurred in 1776.) or (The currency of Nigeria is the Peso.))
C. (not not (Saturn is the 1st planet from the Sun.)) or (Alcohol is a liquid at room temperature.)
D. (33 % 7) < (-8 + -7)
E. (((10 ... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 94126098,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (2 - -15) < (43 % 3)\nB.... |
logic-v2 | 下面是几个布尔表达式：
A. not ((((not (((-1 * 8 * -9 * -9) != (3 * 0)) and ((-7 - 11) != (4 ** 2)))) and (((碳的化学符号是C。) and ((19 + -14) != (-4 * -7 - 8 * -9))) or ((39 % 10) < (3 ** 1)))) or ((-20 - -16) != (-11 + 16)) or ((锰的化学符号是Mn。) and (not ((1976年奥运会在蒙特利尔举办。) or (汞在常温下是液体。))))) and (((not (not not ((-20 - 15) >= (-8 * -3 + 6... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 86417687,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not ((((not (((-1 * 8 * -9 * -9) != (3 * 0)) and ((-7 - 11) != ... |
logic-v2 | 给定以下布尔表达式：
A. ((((not not (人类只使用了大脑的10%。)) and (not not (油在常温下是液体。))) and ((not (人体有150块骨头。)) and ((鳟鱼是鱼类。) or (德国的首都是莫斯科。)))) or (not not ((((-18 - 8) <= (-20 - 13)) and (澳大利亚位于大洋洲。)) or (not (木星是距离太阳第5近的行星。))))) or (((not (银的化学符号是N。)) and (not ((法国的首都是巴黎。) or (牛是哺乳动物。)))) and (((not not ((5 + -1) < (-3 * 7 + 2 * -1)... | {
"game_data": {
"answer": "B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 95204776,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. ((((not not (人类只使用了大脑的10%。)) and (not not (油在常温下是液体。))) and ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not ((not (The capital of New Zealand is Wellington.)) and (((-1 * 10 * -5 * -1) == (8 * 5 - 4 * -9)) or (The square root of 49 is 13.))))) and ((not ((-9 * -7 + 4 * -2) >= (1 - -14))) or (not (Oxygen is a liquid at room temperature... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 24813157,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
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