env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 给定以下布尔表达式：
A. ((((-7 - -10) <= (1 + -4)) and (not not (鳟鱼是爬行动物。))) or ((((1 ** 1) != (-10 * -1 + 5 * 9)) or (摩洛哥位于非洲。)) or (蚱蜢是昆虫。))) or (((火星是距离太阳第4近的行星。) and ((声音在真空中传播更快。) or (人类每只手有五个手指。))) or ((锌的化学符号是Zn。) and ((-15 - -16) >= (-13 - -13))))
B. ((((氦气在常温下是气体。) or ((14 % 6) >= (-1 - 9))) or ((猫是哺乳动物。) or (2024年奥运会在... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 69826401,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((-7 - -10) <= (1 + -4)) and (not not (鳟鱼是爬行动物。))) or ((((1 ... |
logic-v2 | Review these logical expressions:
A. not ((((not not ((-5 + -17) == (-13 + -1))) and ((-4 - 4) != (4 ** 3))) and (68 is a prime number.)) and (not not (((19 * 17) <= (4 + -18)) or (((18 - -8) <= (17 + -1)) or ((-14 * 2) == (19 % 7))))))
B. (not not ((((The Sun revolves around the Earth.) or (The currency of Singapore ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 70920088,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not ((((not not ((-5 + -17) == (-13 + -1)))... |
logic-v2 | 评估以下每个表达式：
A. not not ((1936年奥运会在柏林举办。) and (not (((9 * -16) != (-6 - -19)) or ((7 % 3) > (15 - 17)))))
B. not ((((水在海平面上的沸点是100摄氏度。) or ((-10 * -8) == (19 + -9))) and (((-12 * -16) > (1 * 2 * -2 * 9)) or (二月有28天。))) or ((4 * -4 * 5 * 8) > (38 % 5)))
C. ((((30 % 4) < (4 * -9) < (6 * -20)) or ((第一次世界大战结束发生在1920年。) or (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 59212172,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not ((1936年奥运会在柏林举办。) and (not (((9 * -16) != (-6 - -19)) or (... |
logic-v2 | Given the following boolean expressions:
A. (((((The 2008 Olympics were held in Berlin.) and (There are 30 days in November.)) and (The currency of Colombia is the Peso.)) or ((-6 - 16) < (19 + -15) < (-15 * 3)) or (not (Iron is a liquid at room temperature.))) and (not not (1900 is a leap year.))) or (not (not (((Jap... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 88354300,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (((((The 2008 Olympics were held... |
logic-v2 | 检验这些表达式：
A. not not ((((((22是质数。) and (大象有4条腿。)) and ((102是奇数。) and (三文鱼是鱼类。))) or (not (((-8 - -13) == (11 + -8)) or ((-13 * -13) == (5 % 4))))) and (not (八月有31天。))) and ((((-17 + 6) <= (19 - -8)) or (巴西的首都是布达佩斯。) or ((14 * -1) < (-16 + 1) < (0 * -17))) or (((((16 + -5) >= (0 * -10 + -10 * 3)) or ((12 - -4) <= (17 * ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 31758923,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not ((((((22是质数。) and (大象有4条腿。)) and ((102是奇数。) and (三文鱼是鱼类。))) ... |
logic-v2 | 评估以下每个表达式：
A. (not not (土星是距离太阳第6近的行星。)) and (not not ((((0 * -1) != (2 - -1)) and ((-15 * -7) == (18 * -15))) or ((波兰的货币是新西兰元。) and ((44 % 4) == (18 - 12)))))
B. ((硫的化学符号是Ag。) and (((1952年奥运会在赫尔辛基举办。) or ((20 + -16) < (26 % 9) < (-15 + -1))) or (not ((8 - -3) > (-11 - 19))))) or ((((36 % 7) != (1 * 9)) or (((0 - 11) ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 4757520,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (not not (土星是距离太阳第6近的行星。)) and (not not ((((0 * -1) != (2 - -1)) an... |
logic-v2 | 检验这些表达式：
A. not ((not not ((-2 + 20) == (7 - 16))) or (印度尼西亚的首都是加拉加斯。))
B. not (not not ((8 * -7 - -2 * 0) == (1 ** 1)))
C. ((((-2 * -9 - 1 * 2) >= (-10 * -8 * -4 * -8)) and ((10 + -14) == (-2 * 6 + 4 * -2))) and ((11 * -13) != (15 * -16))) and (((挪威的首都是巴黎。) and (水在常温下是固体。)) or (((-20 - -18) >= (-11 + 14)) or ((-4 * -... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 67971244,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not ((not not ((-2 + 20) == (7 - 16))) or (印度尼西亚的首都是加拉加斯。))\nB. ... |
logic-v2 | Consider the following logical expressions:
A. The capital of India is Paris.
B. (not ((10 * -4) != (33 % 5))) or (not (Antarctica is the coldest continent.))
C. (16 * -1) <= (-16 + -17)
D. ((-20 * 17) >= (6 * -3 - 8 * -6)) and ((The chemical symbol for Neon is S.) or ((-6 * -2 + 2 * 9) > (3 ** 2)))
E. (not (Diamonds ... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 5287830,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. The capital of India is Paris.\nB.... |
logic-v2 | Given the following boolean expressions:
A. (The capital of Egypt is Cairo.) or ((((7 * 3 + 2 * 0) >= (-7 + 7)) and ((16 * 4) <= (7 + 19))) and ((Chile is in North America.) or ((11 + -1) >= (-12 * -13))))
B. (Alcohol is a liquid at room temperature.) and ((17 * 17) <= (-19 + 14))
C. (A elephant has 100 legs.) or ((37... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 57984967,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (The capital of Egypt is Cairo.)... |
logic-v2 | 研究以下逻辑语句：
A. not (((马有8条腿。) and ((-7 * 12) > (6 * -1 * 7 * -6))) and (((49 % 7) >= (-12 * 1)) or ((-10 + 17) <= (-20 * -6))))
B. ((not (第一部iPhone发布发生在2002年。)) or (((36 % 3) < (7 * 2 * 8 * -1)) and ((16 * 13) <= (-14 * 3) <= (10 * 16)))) and (((火星是距离太阳第4近的行星。) and ((-5 * 8 - 10 * -4) <= (4 * 16) <= (10 - 13))) and ((钛的... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 57445967,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not (((马有8条腿。) and ((-7 * 12) > (6 * -1 * 7 * -6))) and (((49 %... |
logic-v2 | 给定以下布尔表达式：
A. (not (((阿根廷位于南美洲。) or (((19 * 10) < (-15 - -12)) or (氯的化学符号是Mg。))) or (not (金星是距离太阳第2近的行星。)) or ((13 + -18) < (7 - 12)))) and (((1 - -11) >= (5 * -5 - 9 * 4)) and (45是质数。)) and ((((法国的首都是斯德哥尔摩。) and ((鱼有100条腿。) or ((5 * -3 + -9 * 2) > (44 % 8)))) or ((((-4 * 19) >= (10 * -8 + -7 * -8)) and (木星是距离太阳第5近的行星... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 92398559,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not (((阿根廷位于南美洲。) or (((19 * 10) < (-15 - -12)) or (氯的化学符号是Mg。)... |
logic-v2 | 分析以下逻辑表达式：
A. ((not not (十月有31天。)) or (((-8 + 7) >= (7 * -13)) and ((2 - -10) < (1 ** 2)))) or ((37 % 7) <= (-6 + 14)) or ((1 ** 2) >= (1 * -14))
B. (泰坦尼克号沉没发生在1922年。) and ((((2 * -17) <= (-18 * -17) <= (5 * 7 - 9 * 2)) or (新加坡的首都是新加坡。)) or (not (磷的化学符号是P。)))
C. (木头在常温下是固体。) or (10能被5整除。)
D. (((-2 + -14) < (-7 * 2 * -... | {
"game_data": {
"answer": "A,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 76944999,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((not not (十月有31天。)) or (((-8 + 7) >= (7 * -13)) and ((2 - -... |
logic-v2 | 研究以下逻辑语句：
A. 鲤鱼是鱼类。
B. (not (1945年是闰年。)) or (蜥蜴是爬行动物。)
C. ((月球自己发光。) or (龙虾有2条腿。)) or (((9 - -19) > (20 % 1)) or ((20 + 9) >= (2 - 5)))
D. (5 - 5) == (-2 * 10 - -4 * -7)
E. 匈牙利的货币是韩元。
F. ((4 ** 1) < (5 ** 2) < (14 - 17)) or (((7 % 4) == (15 % 7)) or ((19 * 14) != (-20 - 6)))
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 13661400,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. 鲤鱼是鱼类。\nB. (not (1945年是闰年。)) or (蜥蜴是爬行动物。)\nC. ((月球自己发光。) or ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((The Moon produces its own light.) or (not ((20 % 10) <= (-5 * 0 - 9 * -9) <= (27 % 5))))
B. not (((24 % 1) == (-10 - 6)) and ((Jupiter is the 8th planet from the Sun.) and (Saturn is the 6th planet from the Sun.)))
C. ((((8 * -5 - 2... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 23115382,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Study the following logical statements:
A. not (The 1936 Olympics were held in Tokyo.)
B. Japan is in Asia.
C. not not (The currency of Israel is the Shekel.)
D. The 1976 Olympics were held in Tokyo.
E. (6 - -3) < (20 + -20)
F. United States is in South America.
G. ((-11 + 9) != (8 + -18)) and ((The 1924 Olympics were... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 54779456,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. not (The 1936 Olympics were hel... |
logic-v2 | 分析以下逻辑表达式：
A. 奥地利的首都是维也纳。
B. 中国的首都是北京。
C. ((智利的货币是比索。) or (木星是距离太阳第5近的行星。)) and (((20 + -17) <= (-9 * 6 + -2 * -9)) and ((-2 - -18) <= (45 % 2) <= (-19 + -11)))
D. ((8 + 8) < (17 + -17) < (3 ** 2)) or (((20 + -11) != (4 ** 3)) and (钻石在常温下是固体。))
E. (丹麦的货币是克朗。) and (not ((10 - -9) <= (3 * -5 * -1 * 1)))
F. ((巴西位于非洲。) an... | {
"game_data": {
"answer": "A,B,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 23248184,
"true_count": 6
},
"question": "分析以下逻辑表达式：\n\nA. 奥地利的首都是维也纳。\nB. 中国的首都是北京。\nC. ((智利的货币是比索。) or (木星是距离太阳第5... |
logic-v2 | Evaluate each expression below:
A. not ((((not ((8 % 2) >= (19 * 9))) or ((The capital of Singapore is Athens.) or (A elephant has 4 legs.))) or (not (The currency of Singapore is the Dollar.))) or ((((The currency of Canada is the Yen.) or (Oil is a liquid at room temperature.)) and ((Alcohol is a solid at room tempe... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 22878124,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not ((((not ((8 % 2) >= (19 * 9))) or ((The c... |
logic-v2 | 检验这些表达式：
A. ((((青蛙有0条腿。) or ((2 - -10) <= (-18 - -9) <= (18 - -10))) or (not not ((-18 * -5) <= (8 * 8) <= (16 - 19)))) and (((声音在真空中传播更快。) or ((1 * 8) != (2 ** 1))) and ((新加坡的货币是新加坡元。) or (92能被2整除。)))) or (((3 ** 3) >= (-7 - -13)) or ((哥伦布到达美洲发生在1497年。) and (泰国的首都是巴西利亚。)) or (铜的化学符号是C。))
B. not ((短吻鳄是爬行动物。) and (((墨西... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 51473469,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. ((((青蛙有0条腿。) or ((2 - -10) <= (-18 - -9) <= (18 - -10))) or (not not... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not not (((not not ((6 + 17) >= (6 + -17))) or (((11 * -12) <= (22 % 5)) and ((-2 * -10 * 1 * -9) <= (31 % 5) <= (14 - -10)))) or (not not ((5 * -16) == (-3 * -8 - -9 * -4))) or ((not (阿根廷位于欧洲。)) and (((-7 + 5) < (-19 + 7)) and ((6 * -9) < (-18 + 6))))))
B. (not (((现代奥运会首届举办发生在1894年。) or (天王星是距... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 26445249,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not not (not not (((not not ((6 + 17) >= (6 + -17))) or (((... |
logic-v2 | 审视以下逻辑表达式：
A. not ((泰坦尼克号沉没发生在1912年。) or ((15 % 10) == (0 + 7)))
B. not (南非位于北美洲。)
C. (not not (墨西哥的货币是比索。)) and ((木星是距离太阳第5近的行星。) and (巴西的货币是美元。))
D. (-5 + 14) > (3 + -9)
E. 钻石由碳元素组成。
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 38594688,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not ((泰坦尼克号沉没发生在1912年。) or ((15 % 10) == (0 + 7)))\nB. not (南非... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not (The capital of Kenya is Jakarta.)) and ((5 ** 3) < (-20 + 11) < (14 + 13))) and (not (((-13 * 13) >= (10 % 10)) or ((1 * -6) > (-6 * 9 + 10 * 10)))) and ((2034 is a leap year.) or ((-6 - 8) != (-15 * -11)))
B. (not not (((A gecko is a reptile.) or (The capital o... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 50873322,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not (The capital of Kenya ... |
logic-v2 | 下面是几个布尔表达式：
A. (49 % 10) == (13 * 18)
B. (1928年奥运会在里约热内卢举办。) and ((9 * 16) == (12 + 12))
C. (((19 - -16) >= (-12 + 2)) or ((18 - -14) >= (8 * -4 * -4 * -8))) or (((-1 * -1 * -10 * 1) <= (5 * -4 * -4 * -10) <= (1 ** 1)) and ((-10 * -8 + -2 * -10) == (18 + 7)))
D. ((空气在常温下是液体。) and (俄罗斯的首都是伯尔尼。)) or (((11 - -10) <= (-5 ... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 24876542,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (49 % 10) == (13 * 18)\nB. (1928年奥运会在里约热内卢举办。) and ((9 * 16) ... |
logic-v2 | Examine these expressions:
A. (not (Mercury is a gas at room temperature.)) or ((not not (((32 % 3) < (8 + -9)) and (Mercury is the 1st planet from the Sun.))) or (not ((1 * -3 - 8 * 1) > (0 * 8 + -6 * 5))) or ((-11 * 20) >= (17 + -10)))
B. not not ((not ((8 * -4 * 9 * -5) < (2 ** 1))) or (not (The currency of Austral... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 71457450,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not (Mercury is a gas at room temperature.)) ... |
logic-v2 | 检验这些表达式：
A. (((not ((巴西的货币是雷亚尔。) and ((2004年是闰年。) and (584是斐波那契数。)))) and (not (希腊的首都是都柏林。))) or (((not ((埃及的首都是马德里。) and ((3 ** 1) > (-8 - 18)))) and (4是斐波那契数。)) and (12是质数。) and ((木头在常温下是气体。) or (((-14 - 2) > (-10 + 14)) or (not ((-8 * 5 + -1 * 8) < (12 * 20))))))) and (not not ((not not (not not (((16 - 20) > (3 * ... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 25291972,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (((not ((巴西的货币是雷亚尔。) and ((2004年是闰年。) and (584是斐波那契数。)))) and ... |
logic-v2 | 分析以下逻辑表达式：
A. 2004年奥运会在慕尼黑举办。
B. (not ((-20 + -20) < (-10 * -1 - 7 * -4) < (3 * 18))) or ((肯尼亚位于南美洲。) and (海王星是距离太阳第6近的行星。))
C. (-9 - -5) > (-9 * 1 + -8 * 2)
D. ((十月有31天。) and ((-3 + 7) > (-5 - -4))) or ((11 - -5) < (-20 - 16))
E. 银在常温下是液体。
F. 泰国位于亚洲。
G. ((-9 * 18) <= (-20 * 3)) or (not (木头在常温下是固体。))
H. not not (马来西亚的... | {
"game_data": {
"answer": "C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 33597106,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. 2004年奥运会在慕尼黑举办。\nB. (not ((-20 + -20) < (-10 * -1 - 7 * -4... |
logic-v2 | Analyze these boolean expressions:
A. not ((15 + -6) != (1 ** 2))
B. not not (((6 * -8 * -6 * 8) != (-10 * 1 * 9 * -1)) or (not (There are 31 days in July.)))
C. (The capital of Hungary is Canberra.) or ((((2 + -8) >= (2 ** 3)) and ((-9 * -20) > (-3 + 0))) or ((The 1928 Olympics were held in Athens.) and (A lizard is ... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 66637646,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((15 + -6) != (1 ** 2))\nB. not not ... |
logic-v2 | 评估以下每个表达式：
A. not (not not (氮的化学符号是N。))
B. (19 * 11) >= (40 % 4)
C. (二月有30天。) and (((2 - 7) >= (-10 + -10)) and (菲律宾的货币是新加坡元。))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 33441537,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (not not (氮的化学符号是N。))\nB. (19 * 11) >= (40 % 4)\nC. (二月有30天。) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((Uranus is the 6th planet from the Sun.) or ((1 + 17) >= (-10 * 3)))
B. Antarctica is the coldest continent.
C. A parrot is a reptile.
D. not ((Mercury is the 1st planet from the Sun.) or ((9 * 4) <= (39 % 1)))
Which options evaluat... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 44272728,
"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. (not not ((2034 is a leap year.) or (not not ((-11 + -4) != (10 * 10))))) and ((not (The capital of Spain is Madrid.)) or (not not ((9 * -11) >= (1 ** 1))))
B. not (not (not (((312 is a perfect square.) and ((9 * 6 * -9 * 3) == (4 ** 1))) or ((The Moon orbits the Earth.) or (The c... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 5606107,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not not ((2034 is a leap year.) or (not no... |
logic-v2 | 给定以下布尔表达式：
A. not ((((((91是质数。) and (埃及的首都是圣地亚哥。)) or (((-16 * -7) < (-1 + 17)) or ((34 % 3) >= (-19 + 4)))) and ((1918年是闰年。) or ((100的平方根是10。) and (印度尼西亚的货币是印尼盾。)))) or (((-16 + -2) == (45 % 10)) and (澳大利亚的货币是澳元。))) and ((not not (not (not (银的化学符号是Pb。)))) and (鱼有100条腿。) and (not (第一部iPhone发布发生在2007年。))))
B. not not (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 46416943,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not ((((((91是质数。) and (埃及的首都是圣地亚哥。)) or (((-16 * -7) < (-1 + 17)) ... |
logic-v2 | Analyze these boolean expressions:
A. not not (((not ((-5 * -10 + 1 * -10) != (-3 * 10 - -7 * 2))) or (not (((-11 - 17) < (1 ** 2)) and (Germany is in Oceania.)))) and ((not (Jupiter is the 4th planet from the Sun.)) or (((not ((-2 * 2 + 3 * 1) > (11 * 3))) or (The currency of Australia is the Dollar.)) and (The curre... | {
"game_data": {
"answer": "A,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 82904122,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. not not (((not ((-5 * -10 + 1 * -1... |
logic-v2 | 研究以下逻辑语句：
A. (((西班牙的首都是首尔。) and (not (((-2 + -12) == (2 * -4 - 5 * 4)) or (木头在常温下是固体。)))) and ((第二次世界大战结束发生在1945年。) or ((((-11 * 20) != (5 - 13)) and (西班牙位于欧洲。)) and ((第一部iPhone发布发生在2007年。) and ((-9 - -5) > (-14 + 17)))))) or ((((2024年奥运会在巴黎举办。) and ((-2 - 11) < (-4 - 7) < (0 * 4 + 0 * 10))) and (((4 - -18) <= (-13 + ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 43904297,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (((西班牙的首都是首尔。) and (not (((-2 + -12) == (2 * -4 - 5 * 4)) or (木头在常温... |
logic-v2 | 检验这些表达式：
A. not (((not ((越南的货币是福林。) and (((-10 + -1) <= (20 % 10) <= (-12 + -8)) or ((9 + -3) != (8 + 19))))) and ((((第二次世界大战开始发生在1939年。) or ((-13 + 16) == (31 % 6))) or ((月球自己发光。) and (金星是距离太阳第1近的行星。))) and (not ((鹦鹉是鸟类。) and (2010年是闰年。))))) or (not not (((氧气对人类生存是必需的。) or (((-5 * -2) <= (9 * 10)) or (地球是距离太阳第3近的行星。)... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 71758130,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not (((not ((越南的货币是福林。) and (((-10 + -1) <= (20 % 10) <= (-12 + -8))... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not ((-2 * -10 - 4 * -3) <= (-6 * -4) <= (0 - -6))) or ((八月有28天。) or (水在海平面上的沸点是100摄氏度。)))
B. (((美国宣布独立发生在1776年。) and ((-13 + 5) <= (41 % 5) <= (17 % 1))) and ((10 * 1 - -2 * -8) > (-9 * 19))) or ((-13 - 14) > (2 % 9))
C. not ((not not (马来西亚的首都是吉隆坡。)) or ((鱼有0条腿。) or (地球是距离太阳第3近的行星。)))
D. ((2 + -9)... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 97415957,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not ((not ((-2 * -10 - 4 * -3) <= (-6 * -4) <= (0 - -6))) or ((八... |
logic-v2 | 研究以下逻辑语句：
A. (((not not (2096年是闰年。)) or (((-15 - 19) != (17 + 7)) and ((-4 * 2 - 6 * 8) >= (6 - -12)))) and (金的化学符号是Au。)) and (七月有30天。) and (not ((((13 - 0) <= (13 + 13)) and (阿根廷的货币是里亚尔。)) or ((水星是距离太阳第1近的行星。) or (地球绕太阳运转。))))
B. ((((南极洲是最冷的大陆。) and (二月有30天。)) and (((16 * 17) > (-16 - -19)) and (铁的化学符号是Fe。))) and (铅的... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 76971632,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (((not not (2096年是闰年。)) or (((-15 - 19) != (17 + 7)) and ((-4 * 2 -... |
logic-v2 | 考虑以下布尔表达式：
A. not (((钠的化学符号是Na。) or (龙虾有0条腿。)) or (铅的化学符号是Mn。))
B. (法国的首都是新加坡。) or (((七月有31天。) or ((4 * 7 - 9 * 8) >= (15 + -10))) and (not ((19 * 10) <= (8 * -5 * 9 * 10))))
C. not not (((1948年奥运会在伦敦举办。) and (汞的化学符号是Ag。)) or (not ((16 + -18) < (9 - 19))))
D. (not not ((海王星是距离太阳第6近的行星。) or (人类有2条腿。))) or (((30 % 9) < ... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 38109657,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not (((钠的化学符号是Na。) or (龙虾有0条腿。)) or (铅的化学符号是Mn。))\nB. (法国的... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (5 - -2) < (-9 - 2) < (4 ** 2)
B. (-1 - 1) <= (-8 * -4 + -3 * 0)
C. (27 % 5) == (-7 - 14)
D. 智利的货币是里拉。
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 38386369,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (5 - -2) < (-9 - 2) < (4 ** 2)\nB. (-1 - 1) <= (-8 * -4 + -3... |
logic-v2 | 给定以下布尔表达式：
A. ((9 - 12) == (-7 + 1)) or (新西兰的首都是惠灵顿。)
B. ((((-3 * -10 - -3 * -9) >= (6 % 7)) and (2016年奥运会在斯德哥尔摩举办。)) and (地球上一天是24小时。)) and ((((-5 * -6 - 9 * -2) != (12 - 10)) and ((15 * 11) <= (0 * 14))) or ((俄罗斯的货币是卢布。) or ((3 ** 2) <= (-15 - 8) <= (-3 * 5 * -4 * -2))))
C. not not (((西班牙的首都是赫尔辛基。) and (马有4条腿。)) and... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 87794859,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((9 - 12) == (-7 + 1)) or (新西兰的首都是惠灵顿。)\nB. ((((-3 * -10 - -3 * -9... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (not (Peru is in South America.))) and (((Mars is the closest planet to the Sun.) or ((3 + -18) < (-18 - -18) < (-9 * -3 * -2 * -10))) and (((not (The 1912 Olympics were held in Tokyo.)) or ((The Moon produces its own light.) and ((2 ** 3) < (10 % 1) < (-6 * -... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 96736897,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (not (Peru is in Sout... |
logic-v2 | 检验这些表达式：
A. ((((-14 - 14) <= (3 + 10) <= (4 + -5)) and ((7 + -15) > (7 * 13))) and (not (((8 % 8) >= (3 - -19)) or ((7 + 19) < (8 + 13))))) or (not (not (((金星是距离太阳第4近的行星。) and (伦敦大火发生在1668年。)) and ((蚊子是昆虫。) and ((9 - -3) != (2 ** 3))))))
B. (not not ((天王星是距离太阳第2近的行星。) or (((18 + 7) <= (-10 * 0)) or ((3 + 17) > (20 + -... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 83301146,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. ((((-14 - 14) <= (3 + 10) <= (4 + -5)) and ((7 + -15) > (7 *... |
logic-v2 | Evaluate each expression below:
A. not not (not not ((((46 % 5) >= (4 * 4 * 6 * 6)) or (The capital of France is Lisbon.)) or (not (Steam is a gas at room temperature.))))
B. not (not ((not ((((-1 * -7 * 10 * -2) == (4 ** 1)) and ((10 + -6) < (15 - 6))) or ((18 * 15) > (-6 - -20)))) or (((-11 - 8) < (4 % 9)) or (not (... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 18526661,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not not (not not ((((46 % 5) >= (4 * 4 * ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not ((388 is a perfect square.) and (There are 28 days in February.))) and (not (The capital of Austria is Vienna.))) and ((61 is a Fibonacci number.) or (not (((-10 * -9 - 10 * -5) != (4 * 8 + 2 * 0)) and ((-5 * -5 - 9 * -2) < (9 * -7)... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 7532439,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\... |
logic-v2 | Examine these expressions:
A. (not not ((not ((4 ** 2) > (2 ** 2))) or ((3 ** 2) != (-9 * -5 - -10 * 1)))) and ((not not ((Alcohol is a liquid at room temperature.) and ((The chemical symbol for Lead is Pb.) or ((-12 * -4) == (10 + 16))))) or ((not (((-19 * 2) < (-5 * -7)) or ((-8 + 6) < (-2 - -7) < (1 + -5)))) and ((... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 84635145,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. (not not ((not ((4 ** 2) > (2 ** 2))) or (... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((15 % 8) >= (4 * -4 + 5 * 3))
B. not ((铝的化学符号是Al。) and (海王星是距离太阳第6近的行星。))
C. ((1952年奥运会在赫尔辛基举办。) or (空气在常温下是液体。)) and (not not (金在常温下是固体。))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 84059011,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not not ((15 % 8) >= (4 * -4 + 5 * 3))\nB. not ((铝的化学符号是Al。) a... |
logic-v2 | 考虑以下布尔表达式：
A. (((((-4 * 5) < (-4 * 10)) or (not ((1 ** 2) == (-5 - -7)))) or (((埃及位于非洲。) and ((天王星是距离太阳第7近的行星。) and (海王星是距离太阳第4近的行星。))) or ((-11 * 7) <= (5 ** 3)))) or (not not ((((-7 * -2 * -10 * 7) >= (-4 + 1)) and ((-19 * 0) != (7 * -5 * -4 * 2))) and ((钾的化学符号是K。) or ((-3 + -14) < (9 - 9))))) or (not not ((((人类有三个肺... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 4970542,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (((((-4 * 5) < (-4 * 10)) or (not ((1 ** 2) == (-5 - -7)))) or ... |
logic-v2 | 研究以下逻辑语句：
A. not (not (((7 - 6) >= (44 % 4)) and ((-16 - 17) == (8 * 10 + -1 * -6))))
B. not not ((7 * 2 - 7 * 7) != (1 + 5))
C. not ((((15 - 5) < (9 * -2)) or ((30 % 2) <= (-18 - -5) <= (2 - 20))) and ((伦敦大火发生在1666年。) and ((2 % 7) <= (-5 * -18))))
D. (not not ((2012年奥运会在雅典举办。) and (火星是距离太阳第3近的行星。))) and ((not (蝙蝠是瞎的。... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 42212423,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not (not (((7 - 6) >= (44 % 4)) and ((-16 - 17) == (8 * 10 + -1 *... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((-7 + -9) != (-4 * -10 * -3 * 7))
B. not ((((8 + 19) > (-5 * -8 - 5 * 1)) or (There are 28 days in February.)) and (not (The chemical symbol for Aluminum is Zn.)))
C. (((Helium is a liquid at room temperature.) or (42 is an even numb... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 58078024,
"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 ((-18 - 10) >= (-19 - 12)))) or (not ((木头在常温下是固体。) or (第一次世界大战开始发生在1924年。)))) and ((新西兰位于北美洲。) or ((((4 * 4 * 2 * 8) >= (50 % 2)) and (孔雀是鸟类。)) or (((10 * -4 - -7 * 3) != (-11 + -2)) or (碳的化学符号是C。))))))
B. not not ((not (not ((not not ((7 * 0) >= (3 - 7))) and ((尼日利亚位于亚洲。) ... | {
"game_data": {
"answer": "H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 88077971,
"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 (not ((-18 - 10) >= (-19 - 12)))) or (no... |
logic-v2 | 评估以下每个表达式：
A. (((((1976年奥运会在蒙特利尔举办。) and (挪威的首都是奥斯陆。)) and ((九月有30天。) and (钻石在常温下是液体。))) or ((((-10 - -20) > (15 - 10)) or ((0 * 2 + -4 * -8) <= (8 + 15))) or (not not ((1 * 7 - 4 * -10) == (15 % 4))))) or ((not ((159是完全平方数。) and (捷克的货币是克朗。))) and (((8 * 0 * 9 * 4) < (14 - -17)) or ((20 + -12) < (1 * 0 + 1 * -3))))) o... | {
"game_data": {
"answer": "A,C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 76941505,
"true_count": 6
},
"question": "评估以下每个表达式：\n\nA. (((((1976年奥运会在蒙特利尔举办。) and (挪威的首都是奥斯陆。)) and ((九月有30天。) ... |
logic-v2 | 评估以下每个表达式：
A. (not (((-7 * -13) == (-20 + 0)) and (铂的化学符号是Ni。))) and ((((月球绕地球运转。) or ((3 - 16) > (4 + 18))) and (not not ((17 - -14) < (9 * -2)))) and ((-11 + -10) <= (13 - -5) <= (18 * -8)) and ((-7 * -12) != (-19 - 3)))
B. (not not ((5 * 5 + -7 * 8) <= (1 ** 1) <= (1 % 10))) or ((((1993年是闰年。) and ((-8 - 1) <= (3 * ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 87299117,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (not (((-7 * -13) == (-20 + 0)) and (铂的化学符号是Ni。))) and ((((月球绕地球... |
logic-v2 | Consider the following logical expressions:
A. ((not (not not (Venus is the 7th planet from the Sun.))) and (The Moon produces its own light.)) or ((((-7 * 1) > (2 % 10)) and ((-18 - 5) < (5 ** 3))) or (((-5 * -2 * -10 * -8) >= (-3 + -13)) or ((-3 * -1 * -3 * -10) <= (-4 + -3)))) or (((not not (95 is less than or equa... | {
"game_data": {
"answer": "A,B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 40240807,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. ((not (not not (Venus is ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((火星是距离太阳第4近的行星。) and ((-2 - 12) != (-10 - 12))) or ((4 ** 2) <= (40 % 3))) or (not not (not ((-4 * -7) != (2 ** 1))))
B. (西班牙位于欧洲。) and (氧气对人类生存是必需的。)
C. (not (not not ((-4 * -8 * -8 * -9) != (-2 * 3 + 8 * 3)))) or (((17 + -15) >= (14 + -16)) or (水星是距离太阳第6近的行星。)) or (not ((68是偶数。) and ((5 + -10) ... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 26354983,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((火星是距离太阳第4近的行星。) and ((-2 - 12) != (-10 - 12))) or (... |
logic-v2 | Consider the following logical expressions:
A. ((((1940 is a leap year.) or (((7 - 19) <= (-16 + 19) <= (7 % 6)) and ((-16 - -2) >= (2 * 0)))) and (The capital of Singapore is Ottawa.) and ((-9 + 12) >= (6 * 8 + -4 * 6))) and ((not not ((-13 * -18) > (0 * 8 - -6 * -4))) or (((The currency of China is the Yuan.) or (Sa... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 47941689,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. ((((1940 is a leap year.) or (((7... |
logic-v2 | 研究以下逻辑语句：
A. (not not (not ((not not (1996年奥运会在亚特兰大举办。)) and (((6 * 4) >= (-5 + -9)) or ((-2 * 8 * -7 * -7) <= (47 % 2) <= (-5 * -5 * -3 * -10)))))) and ((not ((-9 - -8) <= (7 * -5 + -10 * 3))) and ((-17 + 12) != (-1 * -6 + -3 * 1))) and (((((澳大利亚位于大洋洲。) or (十一月有29天。)) and ((韩国位于亚洲。) or (沙特阿拉伯的货币是里亚尔。))) or ((俄罗斯的首都是曼... | {
"game_data": {
"answer": "B,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 69331757,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. (not not (not ((not not (1996年奥运会在亚特兰大举办。)) and (((6 * 4) >= ... |
logic-v2 | 研究以下逻辑语句：
A. (((((-18 * -3) > (27 % 2)) and (冰在常温下是固体。)) or (((-6 * 4) == (3 + 6)) and (瑞士的首都是哈瓦那。))) and (((巴西的货币是比索。) or ((-10 * -4 + -7 * 0) <= (4 ** 2))) and (((1 ** 3) <= (-4 - -10)) or (土星是距离太阳第1近的行星。)))) and (not (not (乌龟是爬行动物。))) and (not not (((月球绕地球运转。) or ((-2 * -2 * 7 * 2) >= (0 * 9 - -9 * 7))) and ((17 * ... | {
"game_data": {
"answer": "C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 30914617,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (((((-18 * -3) > (27 % 2)) and (冰在常温下是固体。)) or (((-6 * 4) == (3 +... |
logic-v2 | 评估以下每个表达式：
A. not ((((7 * -5 + -6 * 7) < (17 * 11)) and (氦的化学符号是S。)) and (not ((-11 * -17) != (35 % 3))))
B. ((((-7 * -9) == (-19 - -6)) and (153是奇数。)) or ((1916年是闰年。) or (印度尼西亚位于亚洲。))) and (not not ((1 ** 2) <= (4 ** 1))) and (not (((-10 * 19) <= (9 * -12)) and (泰国的货币是泰铢。)))
C. (((现代奥运会首届举办发生在1898年。) and (火星是距离太阳第4近的... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 16968707,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((((7 * -5 + -6 * 7) < (17 * 11)) and (氦的化学符号是S。)) and (not ... |
logic-v2 | Consider the following logical expressions:
A. not ((not ((The chemical symbol for Copper is K.) or ((9 + -13) < (-15 * 18) < (48 % 10)))) or ((A crab has 6 legs.) or ((not ((-8 + -5) != (18 + 6))) and (((40 % 1) <= (8 * 7 * 5 * 2) <= (-5 * -9 - 1 * -3)) or (The capital of Greece is Athens.)))))
B. not not (((((68 is ... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 60543177,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not ((not ((The chemical symb... |
logic-v2 | Analyze these boolean expressions:
A. ((not ((The first iPhone was released occurred in 2007.) and (The capital of South Korea is Seoul.))) and ((Venus is the 2nd planet from the Sun.) and (The chemical symbol for Oxygen is O.))) or (not (not ((19 - -5) < (38 % 6)))) or (not ((((35 % 9) == (6 * 2 * 5 * -2)) and (The f... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 39915815,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not ((The first iPhone was released ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((-5 + -16) != (12 + 5)) and ((巴西位于南极洲。) or (not (1948年奥运会在东京举办。)))) and ((((2004年奥运会在罗马举办。) and (兔子是哺乳动物。)) and ((78是质数。) and (1994年是闰年。))) or (((7 * -12) <= (-5 * 16)) or ((40 % 7) >= (0 * -9 * 7 * 0))) or ((((20 - -16) > (-7 - -19)) or (第一部iPhone发布发生在2007年。)) or (((-3 * 2 * -5 * 3) > (4 **... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 64498865,
"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. (((-5 + -16) != (12 + 5)) and ((巴西位于南极洲。) or (not... |
logic-v2 | 审视以下逻辑表达式：
A. (4 * -9 * 3 * -1) <= (10 * 6 + -5 * -1)
B. 肯尼亚的首都是哈瓦那。
C. 90是质数。
D. (欧盟的货币是新加坡元。) and ((30 % 5) != (19 % 2))
E. ((智利的货币是克朗。) and (海王星是距离太阳第5近的行星。)) or (((-6 * 17) != (10 % 6)) and ((9 * 17) != (-3 * -6 - 0 * 4)))
F. (((-12 - -15) < (3 ** 2)) and (蝴蝶有4条腿。)) and (not not ((5 + -7) <= (7 - -2) <= (3 * 7 * 6... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 58334131,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (4 * -9 * 3 * -1) <= (10 * 6 + -5 * -1)\nB. 肯尼亚的首都是哈瓦那。\nC. 90是质数。... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((9 % 5) > (-4 * 4 + 5 * 0)) or (The 2020 Olympics were held in Tokyo.) or (not not ((New Zealand is in Oceania.) or ((-12 * -14) >= (-12 * -4))))
B. ((not not (A parrot is a fish.)) or ((580 is a Fibonacci number.) or ((3 ** 2) >= (14 - ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 45580876,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (((not ((The Soviet Union dissolved occurred in 1991.) or (2026 is a leap year.))) or (not not (((-3 * -6) != (-6 * -10 + 0 * 8)) and (Vietnam is in Antarctica.)))) and (((not ((-5 * -4 - -4 * 7) > (-8 + 4))) and ((1 + -1) >= (3 * -2 + 0 * -5))) or ((((41 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 59488282,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (((not ((The ... |
logic-v2 | 下面是几个布尔表达式：
A. not ((not (not (not not ((1 ** 2) != (2 ** 3))))) and ((铝的化学符号是Cl。) and (((47 % 1) <= (-5 + -17)) or (64的平方根是3。))))
B. (not ((not (((-6 * -2 + 4 * -6) < (-14 + -14)) and ((0 + 3) <= (0 + 6) <= (-18 - 15)))) or (((冰在常温下是固体。) and (十月有31天。)) and (((41 % 8) < (-3 * 9 - -3 * -4) < (5 * 3 * -7 * -5)) and ((12... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 2452970,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not ((not (not (not not ((1 ** 2) != (2 ** 3))))) and ((铝的化学符号... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((The capital of Australia is Kuala Lumpur.) or ((10 * 14) <= (2 * 4 - 3 * 8))) or ((Germany is in Europe.) or ((-6 * -8 * -3 * 1) <= (2 ** 2) <= (11 % 8)))) and (1922 is a leap year.)) and (((4 % 8) >= (-12 + -8)) or (((-10 * -6 - -4 * 6) != (-4 * -8 + -10 * -5)) or... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 22014032,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((The capital of Australia... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (not (not ((8 - -11) <= (-4 * 5 * -7 * 0))))) and (not ((not (not ((20 * -19) >= (-1 * -5 + 10 * -3)))) or (泰坦尼克号沉没发生在1912年。)))
B. (not (not (2008年奥运会在北京举办。))) or (not not ((丹麦的货币是新加坡元。) or (墨西哥的货币是印尼盾。))) or (not ((2016年奥运会在东京举办。) or ((not not ((29 % 3) <= (-20 * -2))) or (not not ((-8 * -9 - 8... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 35345046,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not not (not (not ((8 - -11) <= (-4 * 5 * -7 * 0))))) and (not ((... |
logic-v2 | Evaluate each expression below:
A. not not (not (A mosquito is an insect.))
B. (The chemical symbol for Helium is Zn.) and (((-6 * 16) != (5 ** 1)) or (((-5 + 17) <= (-16 + -15)) and (The capital of Saudi Arabia is Abuja.)))
C. ((((29 % 10) < (-7 * 5 - -2 * 3)) and ((5 ** 2) >= (13 - 7))) or (not not ((-7 * 8 * 2 * -8... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 99247520,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not not (not (A mosquito is an insect.))\nB. ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 金的化学符号是Cr。
B. not not (not ((-4 + -16) <= (-13 - 14)))
C. (not (铝的化学符号是P。)) and (((15 * -5) == (0 * 2)) and (氮气在常温下是气体。))
D. 巴西的首都是巴西利亚。
E. not (((12 % 5) == (7 * -1 * 0 * -2)) and (113是斐波那契数。))
F. 酒精在常温下是液体。
G. (not not (锰的化学符号是Au。)) or (not ((14 + -7) > (28 % 2)))
H. (not not ((10 * 7 + -1 *... | {
"game_data": {
"answer": "B,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 57452164,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. 金的化学符号是Cr。\nB. not not (not ((-4 + -16) <= (-13... |
logic-v2 | 分析以下逻辑表达式：
A. (((银的化学符号是Ag。) and (not ((13 + 17) <= (19 + -12) <= (11 - 7)))) and (not not (559是斐波那契数。)) and ((((3 * 11) < (13 * 11)) and (2004年奥运会在阿姆斯特丹举办。)) and ((1950年是闰年。) and ((-17 * 11) <= (-9 + -9))))) or (鸡有4条腿。) or (((5 * 2 * -1 * 6) != (2 * -4 * -1 * -5)) and ((((2 * 2) <= (2 ** 2)) and (1960年奥运会在罗马举办。)) and... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 6571964,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (((银的化学符号是Ag。) and (not ((13 + 17) <= (19 + -12) <= (11 - 7))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((铬的化学符号是Pb。) or ((4 * -10 - 5 * 6) == (3 + 20)) or (((18 * 12) <= (-15 * 3) <= (4 * -20)) and (not ((5 ** 1) > (-7 + -10))))) and (地球绕太阳运转。) and ((大象有4条腿。) or ((not not ((6 * 17) > (20 * 6))) or (西班牙位于欧洲。)))) and (not (not ((7 * 5 + -5 * 4) < (-6 * 0 + -9 * 6))))
B. (not not (not not (not not ((鲤... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 33320986,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((铬的化学符号是Pb。) or ((4 * -10 - 5 * 6) == (3 + 20)) or (((18... |
logic-v2 | Study the following logical statements:
A. not not (((not (((20 is a perfect square.) or (Earth is the 3rd planet from the Sun.)) and ((8 * 13) >= (19 + 2)))) or ((not (A cat has 4 legs.)) or ((-1 * 2) <= (5 - -9) <= (18 * 15)))) and (not not (The currency of South Korea is the Won.)) and ((((3 * -12) < (-2 - 13) < (0... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 88941590,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (((not (((20 is a perfect... |
logic-v2 | Given the following boolean expressions:
A. (not (((41 % 1) <= (-11 * 4)) and (2018 is a leap year.))) or ((-20 + -3) == (-12 + -2)) or (Peru is in South America.)
B. (((13 * -18) != (-14 * 5)) or (((0 - -15) > (14 * 7)) and (2048 is a leap year.))) or ((20 - 20) < (-3 * -8 - 3 * 4) < (0 - -13))
C. (((Jupiter is the 6... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 97590906,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not (((41 % 1) <= (-11 * 4)) an... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not ((not ((螃蟹有10条腿。) or (第一部iPhone发布发生在2005年。))) or ((秘鲁位于南美洲。) and ((1 * 17) > (20 - 14))))) or ((((哥伦布到达美洲发生在1492年。) or ((-3 * 4 + 10 * -10) >= (-16 - 12))) or (水在常温下是液体。)) and ((-10 * -11) < (3 ** 2))) or (((not (阿根廷位于北美洲。)) or (not ((天鹅是鸟类。) and ((7 * 3 - -9 * 1) <= (12 * 5) <= (-5 * 2))))... | {
"game_data": {
"answer": "A,B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 10777999,
"true_count": 6
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not ((not ((螃蟹有10条腿。) or (第一部iPhone发布发生在2005年。... |
logic-v2 | 考虑以下布尔表达式：
A. (not not ((755是斐波那契数。) or (((-15 - -14) <= (-13 + 14) <= (3 - -10)) or (锡的化学符号是O。)))) and (((((-11 * 9) < (16 - -20) < (18 * -15)) and (((39 % 4) != (3 + 6)) and (水在常温下是液体。))) and (水蒸气在常温下是气体。)) or (((((3 - -6) != (1 * -8 + -10 * 7)) or (美国位于北美洲。)) and (not not (氢的化学符号是Ca。))) and ((19 + 3) == (-5 * 7))))... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 38896526,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not not ((755是斐波那契数。) or (((-15 - -14) <= (-13 + 14) <= (3 - ... |
logic-v2 | Below are several boolean expressions:
A. not not ((-2 * -2 - -8 * 4) <= (-8 * 7 * -9 * -2))
B. (38 % 10) > (41 % 10)
C. (not ((2 ** 3) < (16 + 11))) or (not not (Canada is in Europe.))
D. (not not (The square root of 16 is 4.)) or ((1967 is a leap year.) and ((-2 * -2) >= (2 * 6)))
E. not not (not not ((1 ** 2) <= (5... | {
"game_data": {
"answer": "B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 72041834,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not not ((-2 * -2 - -8 * 4) <=... |
logic-v2 | Consider the following logical expressions:
A. not not ((482 is a Fibonacci number.) and (Jupiter is the 5th planet from the Sun.))
B. 61 is an odd number.
C. (-20 - 2) < (-4 * 9 - -6 * 5) < (2 + -8)
D. (12 * -20) <= (2 * -6 * 8 * 6)
Determine which expressions are true. List all true option labels separated by comma... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 27238471,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not ((482 is a Fibonacci numb... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not ((((4 + -3) <= (8 + 7)) or (The capital of Egypt is Jakarta.)) or ((96 is greater than 75.) or ((-11 - 8) > (21 % 3)))))
B. (((29 % 2) < (16 + 0)) or (not not ((The currency of Norway is the Krone.) and ((-9 * 1 * 3 * 0) == (-4 + -14))))) or (((The chemica... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 31210971,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not ((((4 + -3)... |
logic-v2 | 审视以下逻辑表达式：
A. ((((巴西的首都是巴西利亚。) or (太平洋是最大的海洋。)) or (钙的化学符号是C。)) or (水蒸气在常温下是液体。)) and (((not not (瑞士的首都是伯尔尼。)) or (((-7 * -3 - 8 * -8) <= (3 ** 2) <= (-8 * 3 * 0 * -3)) or ((5 + -3) == (5 * -2)))) and ((not (水星是距离太阳第6近的行星。)) or (not not ((-3 - 0) < (6 * 1 * -4 * 10)))))
B. (not not (16的平方根是15。)) and ((((2033年是闰年。) or ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 81364038,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((((巴西的首都是巴西利亚。) or (太平洋是最大的海洋。)) or (钙的化学符号是C。)) or (水蒸气在常温下是... |
logic-v2 | Examine these expressions:
A. not (not ((not not (The capital of Saudi Arabia is Riyadh.)) or ((There are 29 days in July.) or (The 1912 Olympics were held in Moscow.))))
B. not not (((Ice is a solid at room temperature.) or (((2 * 16) >= (-6 - 10)) or ((8 % 5) > (-11 * 16)))) or ((-5 - 11) != (4 + 10)))
C. not not (n... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 45438255,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not ((not not (The capital of Saudi Arabi... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((A duck has 100 legs.) and (The 2004 Olympics were held in Athens.)) and (not ((4 + -16) != (-1 * 6 * 6 * -3)))) or ((27 % 6) == (-14 - -14))
B. not ((3 + -5) > (13 + 5))
C. ((not not ((0 * -5) == (1 * 6 - 6 * -9))) or ((The chemical symbol for Chlorine is Au.) or ((... | {
"game_data": {
"answer": "B,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 9895571,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((A duck has 100 legs.... |
logic-v2 | 研究以下逻辑语句：
A. not not ((((-4 + 4) >= (9 % 9)) and ((-10 + 1) <= (-3 * -2 * -5 * -10))) or ((-9 * -4 + 0 * -9) > (49 % 3)))
B. (新西兰的货币是福林。) and ((not not (镁的化学符号是Mg。)) and ((土星是距离太阳第6近的行星。) or (水蒸气在常温下是气体。)))
C. (((鲸鱼是哺乳动物。) or (法国大革命开始发生在1789年。)) and ((火星是距离太阳第4近的行星。) or ((1 % 9) > (4 * 1)))) and ((植物通过光合作用产生氧气。) or (柏... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 91352904,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not ((((-4 + 4) >= (9 % 9)) and ((-10 + 1) <= (-3 * -2 * -5 *... |
logic-v2 | 下面是几个布尔表达式：
A. ((((2068年是闰年。) and (哥伦布到达美洲发生在1493年。)) or (((-4 + -11) <= (41 % 8)) or ((-3 * -8 + -6 * -2) == (33 % 10)))) or (((1968年奥运会在蒙特利尔举办。) or ((4 + -7) < (0 - -5))) or ((2 % 8) <= (-18 * -15)))) or ((巴西位于非洲。) or (((6 + 16) < (41 % 9)) or (月球自己发光。))) or ((冰在常温下是气体。) and ((((-3 - -11) != (23 % 4)) and ((0 * 6 - ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 93325038,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((((2068年是闰年。) and (哥伦布到达美洲发生在1493年。)) or (((-4 + -11) <= (41... |
logic-v2 | 检验这些表达式：
A. ((not not ((17 + -14) <= (-2 * -5 - -10 * -2))) and (水星是距离太阳第8近的行星。)) and (((1 + 20) <= (-18 + 12) <= (19 * 10)) or (not (南极洲是最冷的大陆。))) and ((((3 ** 1) > (4 ** 2)) and (((6 + -2) != (4 ** 3)) or ((20 + 17) != (5 + -17)))) or (not not (not ((-3 * 11) < (-9 + 6)))))
B. ((not ((2081年是闰年。) or (105是偶数。))) and (... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 53217899,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((not not ((17 + -14) <= (-2 * -5 - -10 * -2))) and (水星是距离太阳第8近的行星... |
logic-v2 | 评估以下每个表达式：
A. 光速比声速快。
B. (340是完全平方数。) and ((氧气对人类生存是必需的。) and ((-7 + 1) <= (-19 - -11) <= (4 ** 3)))
C. 柏林墙倒塌发生在1988年。
D. 秘鲁位于北美洲。
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 46820450,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. 光速比声速快。\nB. (340是完全平方数。) and ((氧气对人类生存是必需的。) and ((-7 + 1) <= (-19... |
logic-v2 | Examine these expressions:
A. (7 - -11) > (3 - -2)
B. (not (The chemical symbol for Neon is Ne.)) or ((2 ** 3) <= (6 * 8 + 2 * -10) <= (-6 * -1 + -1 * -4))
C. ((Mars is the 1st planet from the Sun.) and (Australia is in Oceania.)) or ((Light travels faster than sound.) or (The currency of United States is the Dollar.)... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 62457120,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (7 - -11) > (3 - -2)\nB. (not (The chemical ... |
logic-v2 | Given the following boolean expressions:
A. (A goldfish is a fish.) and (((9 - -17) < (-16 - 3) < (-17 + 1)) or (37 is greater than 88.))
B. (not ((-5 - 9) < (-5 * -8 + 5 * 2))) and (((13 * 14) < (-7 - 9) < (-13 - 6)) and ((5 ** 3) >= (18 + -8)))
C. ((The 1936 Olympics were held in Berlin.) and (16 is an odd number.))... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 62986284,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (A goldfish is a fish.) and (((9 - -... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((Water boils at 100 degrees Celsius at sea level.) or ((-10 + -11) != (-6 * -5 * -8 * 1))) and ((The Moon orbits the Earth.) and ((-9 * -9 - 10 * -4) < (18 + 12)))
B. (not (The chemical symbol for Calcium is Au.)) or ((18 * 17) != (-6 - 8))
C. (((5 ** 1) < (-10 + 16))... | {
"game_data": {
"answer": "B,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 66313912,
"true_count": 5
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((Water boils at 100 d... |
logic-v2 | 给定以下布尔表达式：
A. not not (银在常温下是气体。)
B. (not not ((2050年是闰年。) or (光速约为每秒30万公里。))) or (not ((2 - -10) < (15 * 16) < (4 * 0 * -10 * 9)))
C. ((((-4 - -2) >= (-14 - 15)) or ((2 ** 1) >= (4 ** 3))) and ((韩国的首都是赫尔辛基。) or (海王星是距离太阳第6近的行星。))) and (((银在常温下是固体。) and (中国长城是在一年内建成的。)) or ((18 * 11) != (-5 + -7)))
选出所有值为 True 的选项。在 ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 70424244,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not not (银在常温下是气体。)\nB. (not not ((2050年是闰年。) or (光速约为每秒30万公里。))) ... |
logic-v2 | 检验这些表达式：
A. (2 * 8 * -2 * 0) != (-5 * 0 * 8 * -2)
B. not ((1 ** 2) >= (6 - 9))
C. ((1936年奥运会在巴塞罗那举办。) or (月球绕地球运转。)) and ((1 ** 1) >= (-13 - -12))
D. 阿根廷位于亚洲。
E. 1970年是闰年。
F. (((-9 * 4 - 9 * 3) >= (-5 * 0 - -9 * -4)) and (油在常温下是液体。)) or (48是质数。)
G. (-20 + 13) <= (20 - 20) <= (-1 - 20)
H. (3 ** 3) <= (-9 - 18) <= (-2 *... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 3171977,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (2 * 8 * -2 * 0) != (-5 * 0 * 8 * -2)\nB. not ((1 ** 2) >= (6 - 9))\n... |
logic-v2 | 考虑以下布尔表达式：
A. not (not (氧气对人类生存是必需的。))
B. ((1 ** 1) <= (-6 - -11)) and (not not ((26 % 4) != (-12 + 18)))
C. not not (((-5 + 13) <= (17 * 13)) or (美国位于亚洲。))
D. not ((鳟鱼是鱼类。) or (2000年奥运会在悉尼举办。))
E. (not not (872是斐波那契数。)) and ((章鱼有8条腿。) or (43是斐波那契数。))
F. ((-6 - -19) != (10 % 6)) or (((16 * -16) < (15 * -10)) and ((14 ... | {
"game_data": {
"answer": "A,B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 84365342,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not (not (氧气对人类生存是必需的。))\nB. ((1 ** 1) <= (-6 - -11)) and ... |
logic-v2 | 研究以下逻辑语句：
A. 光速比声速快。
B. not not (((not not (((-15 - -3) <= (2 - 12)) and (鲨鱼是鱼类。))) or (((水在常温下是液体。) or (丹麦的首都是哥本哈根。)) or ((苍蝇是昆虫。) or (火星是距离太阳第3近的行星。)))) and (肯尼亚位于非洲。) and ((((海王星是距离太阳第8近的行星。) or ((-4 * 2 + 10 * 7) <= (-11 - 1))) and (猪有10条腿。)) or (not (((8 - 3) != (5 ** 2)) and (第一次世界大战开始发生在1914年。)))))
C. (((肯尼亚位于亚... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 18956855,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. 光速比声速快。\nB. not not (((not not (((-15 - -3) <= (2 - 12)) and (鲨鱼是鱼类... |
logic-v2 | Analyze these boolean expressions:
A. not ((6 + 2) > (0 + -6))
B. not not (Mercury is a gas at room temperature.)
C. not (((The capital of Thailand is Athens.) and (88 is greater than 2.)) or (not ((11 * -12) <= (-9 + -2) <= (8 - 3))))
D. not not ((((-1 * 4) > (0 * 7 * -7 * -10)) and (Carbon dioxide is a gas at room t... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 76990605,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not ((6 + 2) > (0 + -6))\nB. not not (... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((五月有31天。) or (汞的化学符号是K。)) or (((17 * 14) > (2 ** 2)) and (土耳其的货币是奈拉。)))
B. (((金在常温下是固体。) or ((3 % 4) < (1 - 16))) or (氮的化学符号是N。)) and ((人体有150块骨头。) or ((8 * -3) != (-19 * 16))) and ((((10 + -15) >= (-19 + 3)) and (1904年奥运会在洛杉矶举办。)) and (not not ((-13 * -11) >= (-7 - -11))))
C. (氮的化学符号是P。) and (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 89602965,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not not (((五月有31天。) or (汞的化学符号是K。)) or (((17 * 14) > (2 ** 2)) and... |
logic-v2 | 考虑以下布尔表达式：
A. (not ((猫是哺乳动物。) and (((俄罗斯位于欧洲。) and ((4 - 10) >= (3 * -9 + -9 * -7))) and (not not ((-5 * 6 + 1 * -9) < (-11 * 13)))))) or ((not not ((10 * -19) <= (6 % 5))) or ((墨西哥的首都是波哥大。) or (((1 * -2 + 5 * -3) == (18 + -3)) and (钻石由碳元素组成。))) or (not not ((not not (章鱼有8条腿。)) and (((-6 - -7) != (-5 * 9)) or ((2 * 6 ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 16725965,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. (not ((猫是哺乳动物。) and (((俄罗斯位于欧洲。) and ((4 - 10) >= (3 * -9 + ... |
logic-v2 | Given the following boolean expressions:
A. (The capital of Argentina is Buenos Aires.) and ((The currency of Mexico is the Peso.) or (The chemical symbol for Potassium is Fe.))
B. 1961 is a leap year.
C. (A chameleon is a mammal.) and (not not (A gecko is a reptile.))
D. ((7 - 3) == (-20 * -10)) or (not (Plants produ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 85951841,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (The capital of Argentina is Bueno... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((-10 + -17) > (-2 - 19)) or (菲律宾的货币是新西兰元。))
B. ((1952年奥运会在墨尔本举办。) or ((2 ** 1) > (16 - 4))) and ((1972年奥运会在慕尼黑举办。) or (1954年是闰年。))
C. ((水在海平面上的沸点是100摄氏度。) or ((1 - 16) <= (-10 * -6))) and (not (九月有29天。))
D. (not ((19 - -17) <= (6 + -14))) or ((西班牙位于欧洲。) and (五月有31天。))
E. (not ((15 * -17) >= (-1... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 5065249,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not (((-10 + -17) > (-2 - 19)) or (菲律宾的货币是新西兰元。))\nB. ((1952年... |
logic-v2 | Examine these expressions:
A. (-19 * 2) != (-15 + 18)
B. (not (South Africa is in Oceania.)) and (((-2 * -10) < (3 - 19)) or ((3 ** 3) >= (-14 - 8)))
C. ((A spider has 6 legs.) or (114 is an odd number.)) or (((2 * 18) < (20 * -2)) or (Venus is the 2nd planet from the Sun.))
D. Christopher Columbus reached America occ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 49077249,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (-19 * 2) != (-15 + 18)\nB. (not (South Afri... |
logic-v2 | 评估以下每个表达式：
A. (((19 * -3) > (17 - 8)) or (not not (水星是距离太阳第2近的行星。))) or (((3 - -17) == (-7 - -16)) and (钛的化学符号是Cl。)) or ((巴西位于南美洲。) or (not not ((1 * 8 * 5 * -1) < (-5 - 13))))
B. (澳大利亚的货币是里拉。) and (not (巴西的首都是柏林。)) and (not ((-11 * -20) >= (6 + 0)))
C. not (not not (not not (钴的化学符号是Na。)))
D. not not (鹰是鸟类。)
E. (天王星是距... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 66457898,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. (((19 * -3) > (17 - 8)) or (not not (水星是距离太阳第2近的行星。))) or ... |
logic-v2 | 分析以下逻辑表达式：
A. (not (not (2020年奥运会在阿姆斯特丹举办。))) or (((水在常温下是液体。) or (十二月有31天。)) and (四月有30天。))
B. (not (((-3 - 10) <= (2 + -14) <= (2 ** 3)) or (铬的化学符号是Cr。))) or (西班牙位于欧洲。)
C. ((1932年奥运会在雅典举办。) and ((1896年奥运会在墨西哥城举办。) and (火星是距离太阳第8近的行星。))) and ((((-14 * -14) != (8 - 0)) and (巴西的货币是福林。)) or ((77是质数。) and (土星是距离太阳第3近的行星。... | {
"game_data": {
"answer": "A,B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 31051602,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (not (not (2020年奥运会在阿姆斯特丹举办。))) or (((水在常温下是液体。) or (十二月有31天... |
logic-v2 | Below are several boolean expressions:
A. The Pacific Ocean is the largest ocean.
B. not (((-5 - -19) > (20 + -19)) or (The 2000 Olympics were held in Rio de Janeiro.))
C. not (((1 * 8 + 0 * 4) < (18 % 5)) or ((-2 * -9 * 8 * -1) < (8 * 16)))
Identify all expressions that are true. Answer with the option labels separa... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 48700691,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. The Pacific Ocean is the largest ocean... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((18 * -2) == (-7 * -2 * 3 * 5)) or (not not ((3 ** 1) >= (-7 + 12)))) or (not not (((2 + -4) != (14 + -4)) and ((-15 + -12) < (2 ** 2) < (5 ** 3))))
B. (not (The 2012 Olympics were held in London.)) or (((((-10 * 5 - 5 * -10) < (8 - 13)... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 51080876,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
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