env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Study the following logical statements:
A. ((3 ** 2) < (-5 * -17)) or (((-12 * -8) > (5 + 9)) and (Mars is the 4th planet from the Sun.)) or ((((-1 * 10 - -7 * 10) != (2 ** 3)) or ((17 * 17) <= (3 + -5) <= (15 - 7))) and (not (The capital of Australia is Stockholm.)))
B. not ((-10 * 1) < (8 * 2 - -4 * -6))
C. ((not (T... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 49444156,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((3 ** 2) < (-5 * -17)) or (((-12... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (1 % 7) > (5 - 12)
B. (-2 * 7 * -10 * -5) <= (29 % 10)
C. (-1 * 1 - -10 * 5) > (8 * -4 - 6 * 8)
D. 1960年奥运会在巴塞罗那举办。
E. 氯的化学符号是Cl。
F. ((17 - -8) != (1 ** 3)) and ((越南的首都是雅典。) and ((-8 - 20) >= (-1 - -11)))
G. 地球绕太阳运转。
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": "A,B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 5523101,
"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. (1 % 7) > (5 - 12)\nB. (-2 * 7 * -10 * -5) <= (2... |
logic-v2 | 分析以下逻辑表达式：
A. ((((not ((-9 * -10) > (16 - 2))) and ((四月有29天。) and ((2 * -9 + 5 * -6) == (4 ** 1)))) or (((2004年奥运会在墨尔本举办。) or ((-15 + 10) != (-10 - 6))) and ((九月有30天。) or (2004年奥运会在雅典举办。)))) and ((4 ** 3) > (7 * -6 + -7 * -2)) and (((1 % 4) != (3 + 12)) or ((2012年奥运会在东京举办。) or (not not (蛇有0条腿。))))) and (((((三月有29天。) o... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 62022021,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((((not ((-9 * -10) > (16 - 2))) and ((四月有29天。) and ((2 * -9... |
logic-v2 | 检验这些表达式：
A. (not not ((((10 * 6 * 6 * -6) <= (20 % 5)) or ((19 + -3) > (13 + -13))) or (氧气在常温下是气体。) or ((6 * -3 * 10 * -4) == (44 % 6)))) and ((((not not ((-7 - 19) == (10 * -7 + -1 * -9))) or (not not ((6 - 15) > (-2 * 2 * -4 * -5)))) or (not not (((9 * 10 + 4 * 0) == (8 * -5 * 9 * 6)) and (11能被2整除。)))) or (((((11 * ... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 18616808,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (not not ((((10 * 6 * 6 * -6) <= (20 % 5)) or ((19 + -3) > (13... |
logic-v2 | Below are several boolean expressions:
A. not not ((3 ** 3) > (5 + -2))
B. (not not (There are 28 days in November.)) or (not ((1 - -9) > (3 * 4 - -5 * 9)))
C. ((2 ** 2) < (-20 - 10) < (-4 * -3 - -10 * -8)) or (The chemical symbol for Mercury is Zn.)
D. (not not ((The capital of Poland is Warsaw.) and ((-16 * 11) == (... | {
"game_data": {
"answer": "A,B,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 25237161,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not ((3 ** 3) > (5 + -2))\nB... |
logic-v2 | 研究以下逻辑语句：
A. (((((冰在常温下是固体。) and (36的平方根是9。)) and ((鲸鱼是鱼类。) or ((4 ** 1) <= (4 * -19)))) or (土星是距离太阳第6近的行星。) or (1927年是闰年。)) or (not not (not not ((蚱蜢是昆虫。) or (氢的化学符号是H。))))) or ((((1 * -15) > (0 - 10)) and (巴西的货币是埃及镑。)) and (not not (水蒸气在常温下是气体。)) and ((((鲸鱼是鱼类。) or (爱尔兰的首都是都柏林。)) and (not not (地球绕太阳运转。))) or (not (n... | {
"game_data": {
"answer": "A,B,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 74170685,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. (((((冰在常温下是固体。) and (36的平方根是9。)) and ((鲸鱼是鱼类。) or ((4 ** 1)... |
logic-v2 | 检验这些表达式：
A. (not not (not (((-11 * 6) >= (10 * 7)) and ((4 - 10) != (-18 - -13))))) and (not not ((-11 - 12) >= (47 % 4))) and ((1972年奥运会在慕尼黑举办。) or (((35 % 4) <= (3 ** 2)) and ((3 * 4) != (-20 - -10))) or ((澳大利亚位于亚洲。) and (not ((2 ** 3) != (-13 - -1)))))
B. not ((氢的化学符号是Mg。) or (((5 + -14) == (11 - -2)) and (中国位于亚洲。)... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 33728216,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not not (not (((-11 * 6) >= (10 * 7)) and ((4 - 10) != (-18 - -13))... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((((新西兰的首都是阿布贾。) and ((1909年是闰年。) and (91大于39。))) or ((35 % 4) < (5 ** 1) < (0 * 2 + 5 * -7))) or ((1908年奥运会在巴黎举办。) and (not not ((12 + 0) >= (7 + -5))) and (((2012年奥运会在墨西哥城举办。) and ((-7 + 8) < (1 % 9) < (1 * 10 + -9 * 1))) or (((10 - -18) <= (-4 * -8 + 4 * -5) <= (31 % 2)) and ((22 % 6) > (-2 *... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 24009413,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not not (((((新西兰的首都是阿布贾。) and ((1909年是闰年。) and (91大于39。))) or ((35... |
logic-v2 | 审视以下逻辑表达式：
A. 鲤鱼是鱼类。
B. ((欧盟的货币是欧元。) and (水星是距离太阳第7近的行星。)) and ((匈牙利的货币是福林。) and ((-14 + 5) != (6 * -8)))
C. ((匈牙利的货币是福林。) or (火星是距离太阳第4近的行星。)) or (((-7 + 18) >= (16 - -12)) and (泰国位于亚洲。))
D. ((1924年奥运会在悉尼举办。) and ((-8 * 4 * -5 * 8) != (2 * 8 - -4 * -9))) or (not (1948年奥运会在东京举办。))
E. 地球绕太阳运转。
F. ((1964年奥运会在北京举办。) or (... | {
"game_data": {
"answer": "A,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 65219805,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. 鲤鱼是鱼类。\nB. ((欧盟的货币是欧元。) and (水星是距离太阳第7近的行星。)) and ((匈牙利的货币... |
logic-v2 | Study the following logical statements:
A. The currency of Nigeria is the Naira.
B. ((124 is an odd number.) or ((0 * -2 - -4 * -7) >= (35 % 8))) or ((2003 is a leap year.) or (The 1936 Olympics were held in Berlin.))
C. Argentina is in South America.
D. ((The currency of Norway is the Won.) or ((-11 - -14) < (-13 + 8... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 42682400,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. The currency of Nigeria is the Na... |
logic-v2 | 下面是几个布尔表达式：
A. (not not (not ((蛇是爬行动物。) and (((2 * 1 * 3 * -2) == (7 * -14)) and (钻石在常温下是固体。))))) or (not not ((((冰在常温下是气体。) or (巴西位于南美洲。)) or (((17 + -7) <= (-4 * 2)) or ((8 * -4 - -4 * -9) >= (5 - -11)))) and ((not not ((1 ** 2) == (-4 * 8 * 7 * -6))) and (not not (菲律宾的货币是比索。)))))
B. (((not (八月有29天。)) and (not not (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 40716937,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not not (not ((蛇是爬行动物。) and (((2 * 1 * 3 * -2) == (7 * -14)) a... |
logic-v2 | Evaluate each expression below:
A. not (not ((4 % 3) > (-15 - -10)))
B. ((not not ((10 * 8 - 5 * -6) <= (46 % 2))) or (((3 ** 2) >= (-8 - 12)) and ((-8 + 6) != (-5 * -6 - -6 * -9))) or ((not (Mercury is the 1st planet from the Sun.)) and (Electricity flows faster than light.))) or (((-8 + -3) != (-14 + 1)) and (The cu... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 89878934,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. not (not ((4 % 3) > (-15 - -10)))\nB.... |
logic-v2 | 下面是几个布尔表达式：
A. (not ((1908年奥运会在伦敦举办。) or ((汞的化学符号是Mg。) or (氯的化学符号是Ca。)) or ((not (银的化学符号是He。)) and (((8 - -8) <= (14 + 8)) or (1896年奥运会在巴黎举办。))))) or (((not (not not (50能被6整除。))) and ((4 ** 3) > (-19 + 18))) or ((土耳其的货币是索尔。) or ((((17 % 2) >= (-16 - 12)) and (蚂蚁有2条腿。)) or (93小于等于98。))))
B. (not not ((((新西兰的货币是奈拉。) and... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 75864450,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not ((1908年奥运会在伦敦举办。) or ((汞的化学符号是Mg。) or (氯的化学符号是Ca。)) or ((n... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((not (Steam is a gas at room temperature.)) and ((-17 * -19) < (6 % 9)))
B. ((16 - 13) == (19 - -2)) and (((-11 - 11) < (7 * 4 - -7 * 6)) and (7 is an odd number.)) and ((((-14 - -18) <= (9 * -8 * 2 * 10) <= (15 % 6)) or (1993 is a leap year.)) and ((The chemical ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 95555060,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((not (Steam is a gas at... |
logic-v2 | Study the following logical statements:
A. not ((19 - 8) != (-14 + -16))
B. not (((There are 31 days in July.) and (Italy is in Europe.)) and (((5 ** 2) > (-17 + 3)) and ((-16 + 14) != (4 ** 2))))
C. not not ((9 * 6) > (3 * -7 * 4 * -10))
D. ((3 + -19) <= (33 % 2)) and (((The currency of Vietnam is the Dong.) and ((14... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 85684092,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not ((19 - 8) != (-14 + -16))\nB. n... |
logic-v2 | Consider the following logical expressions:
A. ((The capital of Malaysia is Prague.) and (A dog has 8 legs.)) or (not (((9 + 1) > (9 % 4)) or ((The capital of Indonesia is Santiago.) or ((-7 - 15) == (4 * -20)))))
B. not not (((((6 * 3 - 3 * 3) >= (2 + -16)) and (Indonesia is in Asia.)) and (not not (The capital of Si... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 3569472,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((The capital of Malaysia is Pra... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (not not (38是质数。))
B. (((not not ((3 ** 1) < (-1 * -9 - 4 * -9) < (0 * -16))) or ((第二次世界大战开始发生在1939年。) or ((7 * -16) > (-20 * 7)))) or (现代奥运会首届举办发生在1896年。)) and (not ((4 * -1 + 8 * -9) == (7 * -5 * 1 * 8)))
C. ((((2016年奥运会在柏林举办。) or ((3 ** 2) == (14 - -19))) or (((-9 - -14) != (-4 * 9)) or... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 31536146,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (not not (38是质数。))\nB. (((not not ((3 ** 1) < (... |
logic-v2 | 下面是几个布尔表达式：
A. (43 % 4) > (-3 + -4)
B. 澳大利亚的货币是澳元。
C. 1984年奥运会在东京举办。
D. (((14 - -14) < (7 + -10) < (-2 + -9)) and ((-10 + 4) == (-7 * 2))) and ((葡萄牙的首都是波哥大。) and ((7 * -6 * 9 * 0) <= (-15 * -15)))
E. (((1 * 7 - 2 * -10) > (48 % 3)) and (光速约为每秒30万公里。)) or (not not (1920年奥运会在安特卫普举办。))
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,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 79351284,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (43 % 4) > (-3 + -4)\nB. 澳大利亚的货币是澳元。\nC. 1984年奥运会在东京举办。\nD. (... |
logic-v2 | 下面是几个布尔表达式：
A. not not (((5 % 9) < (-4 - -9) < (-7 * 4 + 5 * 4)) or ((-18 + 14) != (-5 - -7)))
B. (-3 - -16) >= (5 ** 3)
C. (not (1920年奥运会在洛杉矶举办。)) or (油在常温下是液体。)
D. (((14 - -11) == (-13 * -20)) or (哥伦布到达美洲发生在1482年。)) and (菲律宾的货币是比索。)
E. ((9 * 1 + 4 * -4) <= (7 % 9)) or (not not (地球是距离太阳第3近的行星。))
F. (not ((4 ** 2) > (... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 97398319,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not not (((5 % 9) < (-4 - -9) < (-7 * 4 + 5 * 4)) or ((-18 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((Saturn is the 6th planet from the Sun.) and ((9 + -15) <= (12 * 0))) and ((17 * -2) == (1 - -17))) and ((((-14 * 1) >= (2 * 1 - 0 * 8)) and (The square root of 9 is 3.)) or ((2 ** 2) == (39 % 7)))) or (not ((Water is a liquid at room temperature.) or (There are 30 ... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 13586197,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((Saturn is the 6th plan... |
logic-v2 | Review these logical expressions:
A. not ((not not ((7 + 10) != (2 * -16))) and (not not (Australia is in Oceania.)))
B. (There are 30 days in June.) or (not (not not (The 1980 Olympics were held in Moscow.)))
C. (not not (not ((19 % 4) <= (18 - 19)))) and ((((-10 * 17) < (-15 * -12) < (-6 * 13)) and (78 is less than ... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 47648548,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((not not ((7 + 10) != (2 * -16))) ... |
logic-v2 | Review these logical expressions:
A. not not ((((19 + 7) < (-10 + 16)) and (A tuna is a bird.)) and ((2060 is a leap year.) or ((8 * -9 - -9 * -4) <= (-9 * -9 + 7 * -3))))
B. not not ((1 ** 2) <= (7 + 1) <= (-8 * 9 * 8 * 9))
C. not (((Helium is a solid at room temperature.) or (A human has 8 legs.)) and (not ((-14 - 1... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 57007252,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not ((((19 + 7) < (-10 + 16)) and (... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((欧盟的货币是泰铢。) or (英国位于非洲。)) and (((5 + 11) > (-15 + 9)) and (60是质数。)))
B. not ((((3 ** 3) <= (-8 - 20)) or (479是斐波那契数。)) and (((-8 * 6 * 9 * 8) <= (3 + 9)) and ((-8 * 0 - 6 * 8) < (1 ** 2))))
C. (((-1 * 15) <= (20 - 5)) and (not not ((3 ** 1) <= (-4 * -10 * -7 * -2)))) and ((-16 - -3) == (9 + 9))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 61732816,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not not (((欧盟的货币是泰铢。) or (英国位于非洲。)) and (((5 + 11) > (-15 + 9)) an... |
logic-v2 | Examine these expressions:
A. not (not (not (((not ((-1 * 8) < (-12 - 3))) or (((3 ** 3) >= (-1 - -9)) and (The capital of Australia is Canberra.))) or (((There are 31 days in December.) and ((20 - -15) < (-20 + -20) < (-1 * 9 * -1 * 0))) or (((18 + 4) > (-18 - 20)) or (209 is a Fibonacci number.))))))
B. not not (not... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 58565997,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not (not (not (((not ((-1 * 8) < (-12 - 3))) or ((... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not ((not not ((-1 * 14) >= (-2 * 7 - -5 * 10))) and ((12 + 17) != (-2 * -7 * 3 * -4)))) or (not not (((The capital of Czech Republic is Bern.) or ((2 * 4) < (6 * -11))) or (((2 ** 3) < (2 * 20)) or (Mercury is the 3rd planet from the S... | {
"game_data": {
"answer": "A,B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 73155948,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | 考虑以下布尔表达式：
A. (not not ((not (((哥伦布到达美洲发生在1487年。) or (211是完全平方数。)) or ((-13 * 8) > (-7 * -3 - -10 * 6)))) and (((not not (蟑螂是昆虫。)) or (((4 ** 2) > (-9 * 3)) or ((-12 + 0) == (19 % 10)))) and (((水在常温下是液体。) or (第二次世界大战结束发生在1945年。)) and ((-9 - 10) <= (5 % 10)))))) and (not not (not (not not (not not (not ((12 - 18) < (3 ... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
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"language": "cn",
"num_options": 8,
"seed": 64109563,
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},
"question": "考虑以下布尔表达式：\n\nA. (not not ((not (((哥伦布到达美洲发生在1487年。) or (211是完全平方数。)) or ((-1... |
logic-v2 | 评估以下每个表达式：
A. ((((7 * -2 * -10 * 4) <= (-3 * -4 + 9 * 4)) or (10是质数。)) and ((瑞士的首都是内罗毕。) and (1928年是闰年。))) or ((not not (1984年奥运会在东京举办。)) and ((17 - 16) <= (12 % 4)))
B. not not (((-19 + 3) <= (-11 - 7)) and ((-19 * -2) != (50 % 2)))
C. ((((-11 * 7) < (-18 + 2)) or ((5 - -20) == (4 ** 2))) or (not not (土星是距离太阳第6近的行星。)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 7806041,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((((7 * -2 * -10 * 4) <= (-3 * -4 + 9 * 4)) or (10是质数。)) and ((瑞士的首... |
logic-v2 | 评估以下每个表达式：
A. ((锰的化学符号是Zn。) or ((3 % 10) >= (-4 - 4))) or (not not (伦敦大火发生在1664年。))
B. (((-16 + -5) == (6 + -14)) or (袋鼠有4条腿。)) or ((马有2条腿。) and ((20 % 1) != (-2 - -2)))
C. not not (not (1980年奥运会在莫斯科举办。))
D. (10 * -5 * -5 * -9) >= (17 * 10)
E. not ((火星是距离太阳最近的行星。) or ((14 - -4) != (5 - 8)))
F. (not ((16 + -3) == (34 %... | {
"game_data": {
"answer": "A,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 92541232,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((锰的化学符号是Zn。) or ((3 % 10) >= (-4 - 4))) or (not not (伦敦大火发生在166... |
logic-v2 | 评估以下每个表达式：
A. not ((not not (1942年是闰年。)) or (not ((-14 - 3) < (14 * 8))))
B. ((钛的化学符号是Na。) or ((锌的化学符号是P。) or ((9 * -8 + 6 * 8) > (18 + 9)))) or ((2024年奥运会在巴黎举办。) and ((木头在常温下是气体。) or (巴西位于欧洲。)))
C. not (not not (((23 % 7) > (16 - 17)) or (德国位于欧洲。)))
D. ((((6 * -8 + 6 * 2) != (-8 - -15)) or (日本的首都是东京。)) or (not (九月有31... | {
"game_data": {
"answer": "A,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 65888296,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((not not (1942年是闰年。)) or (not ((-14 - 3) < (14 * 8))))\nB. ... |
logic-v2 | 检验这些表达式：
A. (((((11 + 19) < (7 + 13)) or (((-6 * -5 + -7 * -6) < (12 * -2)) or (鬣蜥是鸟类。))) or ((-12 * -13) >= (4 ** 3))) and ((地球是距离太阳第4近的行星。) or ((((10 + 18) != (4 % 2)) and (99大于1。)) or (not not ((20 * 18) != (10 * -5 * -2 * 9)))))) and (not not (((not (二氧化碳在常温下是气体。)) or ((泰坦尼克号沉没发生在1910年。) and (十二月有31天。))) or ((-16 ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 30281875,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((((11 + 19) < (7 + 13)) or (((-6 * -5 + -7 * -6) < (12 * -2)) or... |
logic-v2 | 检验这些表达式：
A. ((((磷的化学符号是Co。) and (not not ((6 + -18) <= (-14 + 1)))) and (((四月有30天。) and ((-18 * 6) == (-6 * -8))) and (not not ((2 ** 3) == (2 ** 1))))) and (((18 - -15) != (16 - 10)) and ((-11 - 2) > (-8 * 11)))) and ((((4 * -8 - 8 * 4) > (-4 + -8)) and (not (((1 ** 2) < (-16 - -19)) or (中国长城是在一年内建成的。)))) or ((((38 %... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 61426699,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((((磷的化学符号是Co。) and (not not ((6 + -18) <= (-14 + 1)))) and (((四月有... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((not not ((5 * -1 + -3 * 5) < (8 * -6))) or ((0 - 1) < (-20 - -16)) or ((not ((-18 + -13) < (2 * -7 + 5 * 10) < (16 - 19))) and (人类有三个肺。)))
B. not ((not not ((光速比声速快。) and (2001年是闰年。))) or (新西兰的货币是新西兰元。) or (埃及位于南极洲。))
C. ((not (((-10 * 9 - -1 * -3) <= (10 + 9) <= (50 % 6)) or ((-16 - -19... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 95850881,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not ((not not ((5 * -1 + -3 * 5) < (8 * -6))) or ((0 ... |
logic-v2 | Consider the following logical expressions:
A. not (((not not ((Copper is a gas at room temperature.) and (Humans have five fingers on each hand.))) or (not not ((17 + 9) <= (3 * -8)))) or (The Great Fire of London occurred in 1666.) or ((not (not (Uranus is the 2nd planet from the Sun.))) or ((not ((5 ** 2) > (-15 - ... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 88252890,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not (((not not ((Copper is a ga... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (-20 + -17) != (9 - 16)
B. (Whales are fish.) or (not not ((-10 * 0 - 7 * -9) < (0 * 20)))
C. (-20 - -14) > (-9 + -1)
D. (There are 30 days in March.) and (((2 * -5 + 5 * -4) < (-7 * -2)) and (97 is divisible by 2.))
Which options evalua... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 40988634,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not not (((3 ** 2) < (17 - 10)) or ((-14 - 14) != (3 * -10 * -7 * 4))))) and ((((The capital of Austria is Vienna.) or ((-6 * -1 * 4 * 9) != (4 * -3 * 7 * 7))) and (Steam is a gas at room temperature.)) or (Steam is a gas at roo... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 37339744,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Given the following boolean expressions:
A. (not not (The currency of Hungary is the Forint.)) or (((Earth is the 2nd planet from the Sun.) or (The Moon orbits the Earth.)) or (Diamond is a liquid at room temperature.)) or (not not (not not ((Saudi Arabia is in Antarctica.) or (The capital of Finland is Cairo.))))
B. ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 34836008,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not not (The currency of Hungar... |
logic-v2 | 分析以下逻辑表达式：
A. ((-19 - 8) < (3 * -4 + 10 * -6)) and (2000年奥运会在悉尼举办。)
B. (((-8 * 3 * -1 * -4) == (5 % 2)) and ((-11 + 8) > (5 * -18))) or (not (not not (韩国的首都是首尔。)))
C. (((越南的货币是澳元。) and ((45 % 8) > (-3 - 0))) and (哥伦布到达美洲发生在1492年。)) and ((not ((9 * -2 - -9 * 8) == (-14 + 0))) and ((罗马尼亚的首都是伯尔尼。) and (土星是距离太阳第5近的行星。)))
... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 16089246,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((-19 - 8) < (3 * -4 + 10 * -6)) and (2000年奥运会在悉尼举办。)\nB. (((-8 * ... |
logic-v2 | 评估以下每个表达式：
A. (not not (not ((-14 - -15) == (0 * -10 - 6 * 10)))) and (((not (九月有30天。)) or (((5 ** 2) <= (6 + 9)) or ((-8 * 0 - -10 * -7) <= (-10 * 2 * -5 * 8) <= (3 * -10 * 1 * -6)))) and ((((-12 - 8) < (1 ** 3)) and ((-19 - -4) <= (-2 * 6 + 5 * 7) <= (-3 * 12))) and ((地球是距离太阳第3近的行星。) and ((-14 * 10) <= (2 * -6) <= (... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 84849724,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not not (not ((-14 - -15) == (0 * -10 - 6 * 10)))) and (((not... |
logic-v2 | 检验这些表达式：
A. not (((狗有4条腿。) or (not ((-8 * 3 + 2 * 4) != (-7 * 4 + -4 * -5)))) and ((西班牙位于欧洲。) or (not (埃及位于非洲。))))
B. not not ((海王星是距离太阳第8近的行星。) or ((硫的化学符号是S。) and ((10 * 16) < (-16 * -2))) or (((水蒸气在常温下是气体。) and ((-7 + -9) <= (-11 - 5))) and (not not ((12 - -7) > (15 - 7)))))
C. not ((((11 * 8) != (6 * 3 * 6 * 2)) o... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 62087511,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not (((狗有4条腿。) or (not ((-8 * 3 + 2 * 4) != (-7 * 4 + -4 * -5)))) ... |
logic-v2 | 给定以下布尔表达式：
A. not ((not ((not (加拿大的货币是加元。)) and ((-9 + 6) <= (25 % 7) <= (2 ** 2)))) or ((not (((二月有28天。) or (钴的化学符号是Pb。)) or (意大利位于亚洲。))) or (not not (not not (not not (柏林墙倒塌发生在1988年。))))))
B. not not ((((巴西的首都是巴西利亚。) and (not ((-2 * -13) <= (19 + -15))) and (螃蟹有8条腿。)) or ((((7 * 4 - 0 * -4) > (-3 * 20)) or (地球是距离太阳第... | {
"game_data": {
"answer": "B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 89489026,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. not ((not ((not (加拿大的货币是加元。)) and ((-9 + 6) <= (25 % 7) <=... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not (The capital of Russia is Moscow.))
B. (((-5 * -6 + 9 * -1) > (10 * -3 + -2 * 8)) and ((3 ** 3) <= (-5 - 11) <= (3 ** 2))) or (A swan is a bird.)
C. (((14 - 20) == (-19 + 19)) and (A bird has 2 legs.)) and (not (Humans have five fingers on each hand.))
D. not ((Th... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 18223011,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not (The capital of Russi... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not ((1 - 6) == (3 ** 2)))
B. (((2062 is a leap year.) and (Venus is the 2nd planet from the Sun.)) or (Mexico is in Asia.)) and ((not not (The capital of Malaysia is Kuala Lumpur.)) or ((The chemical symbol for Lead is Pb.) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 86128937,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 下面是几个布尔表达式：
A. 新加坡的货币是新加坡元。
B. ((283是斐波那契数。) and (肯尼亚的首都是内罗毕。)) and ((十二月有31天。) and ((-10 + 0) > (6 % 7)))
C. not (not ((2 * -4 - 4 * 9) != (7 + 0)))
D. not ((加拿大位于北美洲。) or (企鹅能飞翔。))
E. (1900年奥运会在巴黎举办。) or (((1 ** 2) > (-7 * -16)) or ((-8 * 8 * 6 * -6) <= (-6 - -9)))
F. (50 % 7) == (12 + -18)
G. (4 ** 2) <= (-5 * -5 -... | {
"game_data": {
"answer": "A,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 69403958,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. 新加坡的货币是新加坡元。\nB. ((283是斐波那契数。) and (肯尼亚的首都是内罗毕。)) and ((十二月... |
logic-v2 | 给定以下布尔表达式：
A. ((((-2 * 1) > (5 ** 1)) and ((1 * -8 + -9 * -5) > (15 + 14))) and (埃及位于非洲。)) and (((not not (2082年是闰年。)) and (((-11 + 12) < (-9 * 9 - 0 * 10)) and ((2 * -4 + 5 * -9) >= (4 ** 1)))) or (not not (冰在常温下是固体。)) or (((金鱼是鱼类。) and ((5 ** 3) >= (-2 * 1 + 5 * -3))) and ((哥伦布到达美洲发生在1492年。) and ((12 + -17) > (-16 -... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 69823581,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((((-2 * 1) > (5 ** 1)) and ((1 * -8 + -9 * -5) > (15 + 14))) an... |
logic-v2 | 分析以下逻辑表达式：
A. not ((((((法国的首都是巴黎。) or ((-8 * -5) < (40 % 1))) or (not not (水蒸气在常温下是气体。))) or ((壁虎是爬行动物。) or (水蒸气在常温下是固体。))) and (((((8 * 10 * 3 * 4) > (9 - 16)) and ((9 * -18) == (-5 * -16))) and ((-5 - 7) < (0 * -3 - 2 * -8) < (-5 * -1))) and ((((1 ** 3) == (-6 * -15)) and (人类有三个肺。)) or ((8 + -4) <= (35 % 1))))) or (... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 33730658,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. not ((((((法国的首都是巴黎。) or ((-8 * -5) < (40 % 1))) or (not no... |
logic-v2 | Examine these expressions:
A. not ((5 % 1) >= (-1 * 8 * -10 * -10))
B. The capital of Vietnam is Hanoi.
C. (not not (Germany is in Europe.)) or ((The capital of Ukraine is Tokyo.) and (A flamingo is a bird.))
D. (16 + 12) < (-3 * -8 - -9 * 10)
E. 126 is a perfect square.
F. not (not ((2 ** 2) <= (-16 * 0)))
Which one... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 68541308,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not ((5 % 1) >= (-1 * 8 * -10 * -10))\nB. The ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (-6 - 6) != (-9 + 19)
B. (not not ((2 ** 2) != (1 ** 1))) or ((15 * -11) < (16 - 6))
C. Diamonds are made of carbon.
D. (not not ((48 % 4) == (-9 * 5 + -5 * -6))) or (((1 * -6 + -3 * -1) > (3 ** 3)) and ((0 * 5) <= (-18 - 8)))
E. (The Berlin Wall fell occurred in 1989.... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 57170625,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (-6 - 6) != (-9 + 19)\nB... |
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Ag。) or ((氯的化学符号是Cl。) and (1955年是闰年。))) or (196的平方根是14。) or (((-14 - 9) == (1 % 8)) and (not (铂的化学符号是Pt。))))) or (not (not not ((((-12 + -7) > (10 * 2)) and (39是质数。)) and (印度位于亚洲。))))) or (not not ((((not not (印度位于大洋洲。)) or ((3 * 8) <= (-19 - 13))) or ((木星是距离太阳第5近的行星。) or (... | {
"game_data": {
"answer": "A,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 552567,
"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. ((not not (((氖的化学符号是Ag。) or ((氯的化学符号是Cl。) and (19... |
logic-v2 | 检验这些表达式：
A. (0 + 20) <= (3 + 20)
B. not not (((3 * -7 * -5 * 2) < (-12 * -6)) or ((8 - 8) == (-6 * -6 * -3 * 1)))
C. (7 * 4 + -9 * 2) <= (-7 + 6)
D. ((9 * 2 + 0 * 6) < (6 * 9 + -4 * -7) < (-19 * 19)) or ((地球是距离太阳第2近的行星。) or (木星是距离太阳第6近的行星。))
E. (哥伦比亚位于欧洲。) and (not ((3 * 5 * 10 * 10) <= (9 - -13)))
F. (0 * -3 * 3 * 1)... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 37538560,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (0 + 20) <= (3 + 20)\nB. not not (((3 * -7 * -5 * 2) < (-12 * -6))... |
logic-v2 | Analyze these boolean expressions:
A. not ((The chemical symbol for Cobalt is Al.) or (not (Uranus is the 7th planet from the Sun.)))
B. not (not not (not not (Air is a gas at room temperature.)))
C. not (((5 ** 3) == (-4 - -11)) and (78 is an odd number.))
D. ((-19 + 16) > (30 % 7)) and (2045 is a leap year.) and ((-... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 15032749,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((The chemical symbol for Cobalt is ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((The capital of Malaysia is Ankara.) or ((0 + 18) < (19 * -5))) and (((5 * 2 + 2 * -4) >= (37 % 9)) and (The currency of Japan is the Shekel.)))
B. ((-7 * -2 + 2 * -7) > (-16 - -18)) and ((The chemical symbol for Hydrogen is H.) or ((The capital of Kenya is Nairo... | {
"game_data": {
"answer": "A,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 76999767,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((The capital o... |
logic-v2 | 审视以下逻辑表达式：
A. (not ((((-9 * 6 * -4 * 8) < (9 - -19) < (10 % 3)) or ((-12 * 13) <= (7 - 1) <= (-14 + 12))) and ((1988年奥运会在首尔举办。) and ((-9 * 0 * 9 * -1) != (-18 - 7))))) or ((意大利的首都是新德里。) or (not not (1908年奥运会在伦敦举办。))) or ((not (not not ((1 * -5) < (8 * -9 - -8 * 1) < (-20 + -4)))) and ((((-13 + -8) >= (-6 * 7)) or (199... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 99936446,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (not ((((-9 * 6 * -4 * 8) < (9 - -19) < (10 % 3)) or ((-12 * 1... |
logic-v2 | Study the following logical statements:
A. (not ((9 + 17) <= (5 + 7) <= (-10 * 20))) or ((Jupiter is the 3rd planet from the Sun.) or (Water is a gas at room temperature.))
B. not (not (Oxygen is a gas at room temperature.))
C. (((8 * 10 - 2 * -10) != (4 + 20)) or ((50 % 7) == (49 % 9))) or (((3 ** 1) == (-2 * 3 + -9 ... | {
"game_data": {
"answer": "A,B,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 34960874,
"true_count": 7
},
"question": "Study the following logical statements:\n\nA. (not ((9 + 17) <= (5 + 7)... |
logic-v2 | 检验这些表达式：
A. not ((1948年奥运会在伦敦举办。) or (第一次世界大战结束发生在1928年。))
B. 氧气对人类生存是必需的。
C. 西班牙的首都是哥本哈根。
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": 2,
"language": "cn",
"num_options": 3,
"seed": 60268878,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not ((1948年奥运会在伦敦举办。) or (第一次世界大战结束发生在1928年。))\nB. 氧气对人类生存是必需的。\nC. ... |
logic-v2 | Evaluate each expression below:
A. (not not ((10 * 3) != (-19 + 13))) or (((-13 * -1) > (17 * -9)) and (not ((-14 - 16) <= (-4 * -5 - 2 * 7) <= (10 * -8 + 3 * -4))))
B. ((((0 - 6) >= (1 ** 1)) or ((-17 - -5) <= (18 - -15))) and (((15 - -14) < (-14 - -10)) or (Brazil is in Europe.))) and ((11 - -15) <= (-13 - -15)) and... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 59621230,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not not ((10 * 3) != (-19 + 13))) or (((... |
logic-v2 | Consider the following logical expressions:
A. (-8 * -9 - -9 * -5) >= (-2 * -6 * -3 * -6)
B. The capital of Philippines is Cairo.
C. (-14 + -5) <= (-18 * -7) <= (0 + 20)
D. (((-1 * 1 + -7 * 5) <= (4 ** 3)) or (Sound cannot travel through a vacuum.)) and ((17 * -15) <= (-5 * 4 + -7 * 8) <= (-7 + 2))
E. not ((The chemic... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 96500563,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (-8 * -9 - -9 * -5) >= (-2 * -6... |
logic-v2 | Consider the following logical expressions:
A. (6 - -4) != (-12 - -20)
B. (1 * 14) <= (3 ** 3)
C. The Titanic sank occurred in 1912.
D. not not ((90 is less than or equal to 43.) and ((9 * -6 + 5 * 1) < (-3 - -11)))
E. (((5 ** 1) == (1 * 7 * 1 * 6)) or (80 is divisible by 12.)) and ((454 is a Fibonacci number.) and (M... | {
"game_data": {
"answer": "A,B,C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 19970545,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. (6 - -4) != (-12 - -20)\n... |
logic-v2 | Evaluate each expression below:
A. not (The 1952 Olympics were held in Amsterdam.)
B. (not (not not ((-7 - 11) == (-9 * -2)))) and (not not (Saturn is the 7th planet from the Sun.))
C. ((4 ** 2) > (-12 + -2)) and (((Sound cannot travel through a vacuum.) and (The chemical symbol for Copper is Pt.)) and (((-4 * 4 + -3 ... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 47708653,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (The 1952 Olympics were held in Amste... |
logic-v2 | Evaluate each expression below:
A. (30 % 10) > (-10 * -6 * 1 * 9)
B. (19 - 8) >= (-6 + 9)
C. (0 + 14) != (38 % 1)
D. ((The 2020 Olympics were held in Tokyo.) and (There are 30 days in April.)) or (not not (There are 29 days in February.))
E. (((9 + 3) >= (-4 * 8 + 2 * 5)) or (275 is a Fibonacci number.)) or (not (Indi... | {
"game_data": {
"answer": "B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 37731547,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. (30 % 10) > (-10 * -6 * 1 * 9)\nB. (1... |
logic-v2 | Analyze these boolean expressions:
A. not not (not ((((((-8 - -18) == (-10 * 18)) or (The currency of Hungary is the Forint.)) and (not (The chemical symbol for Titanium is Ti.))) or (A chicken is a reptile.) or ((The 2012 Olympics were held in London.) and (Carbon dioxide is a solid at room temperature.))) or (not ((... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 66805982,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not ((((((-8 - -18) == (-10 * 1... |
logic-v2 | 考虑以下布尔表达式：
A. ((狗有4条腿。) or (not (161是完全平方数。))) or ((((-3 + -18) == (0 + 13)) and (铬的化学符号是Cr。)) or (((-1 * -10 - -7 * 2) <= (-7 * -18)) and (水星是距离太阳第1近的行星。)))
B. (not (((-17 * -17) == (-5 * -5)) and ((-16 - -10) >= (2 ** 1)))) or ((-3 * -13) != (-18 * -18)) or ((((-4 + 3) == (1 ** 2)) or (2025年是闰年。)) and (马来西亚的货币是林吉特。)... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 77264304,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. ((狗有4条腿。) or (not (161是完全平方数。))) or ((((-3 + -18) == (0 + 13... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not (钻石由碳元素组成。)) and ((哥伦比亚位于大洋洲。) and (天王星是距离太阳第7近的行星。) and ((印度位于亚洲。) or (汞在常温下是液体。)))) and (not not (((1 * -10) < (-18 + -6)) or (((-18 + -3) <= (-6 - -18)) and (泰国的货币是泰铢。)) or ((11 - -8) >= (-2 + -17))))
B. (not not ((((月球绕地球运转。) or (十二月有29天。)) or (not ((16 + 6) <= (5 - -10)))) or (375是斐波那契数。) ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 32121511,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not not (钻石由碳元素组成。)) and ((哥伦比亚位于大洋洲。) and (天王星是距离太阳第7近的行星。)... |
logic-v2 | Given the following boolean expressions:
A. (((9 - -4) < (-6 * 10)) or (A kangaroo has 2 legs.) or ((The currency of China is the Sol.) or (((11 * 19) != (10 + 10)) or (The Moon produces its own light.)))) and (((((-18 + -5) == (-8 * -10 * 9 * 7)) and (Uranus is the 7th planet from the Sun.)) or (175 is an odd number.... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 51767252,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (((9 - -4) < (-6 * 10)) or (A kangar... |
logic-v2 | Consider the following logical expressions:
A. Sharks are mammals.
B. (Saudi Arabia is in Oceania.) or ((1 * -10) != (1 ** 2))
C. not (not ((18 % 5) < (-6 - 15) < (16 - -8)))
D. not not (not ((3 * -7 + -1 * 3) > (3 * 12)))
E. (Japan is in Asia.) or (not not ((18 + 3) > (-17 - -20)))
Determine which expressions are tr... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 70916419,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. Sharks are mammals.\nB. (Saud... |
logic-v2 | Evaluate each expression below:
A. not ((6 * 2 * -1 * -6) <= (13 * 18) <= (13 % 10))
B. ((1975 is a leap year.) and (The Soviet Union dissolved occurred in 1991.)) or (not ((3 ** 2) <= (14 - -1)))
C. (Copper is a gas at room temperature.) and (not ((6 * 3) > (18 + -19)))
D. not ((1 * -5) < (1 ** 2) < (8 * -1 * 3 * -10... | {
"game_data": {
"answer": "A,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 93535160,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not ((6 * 2 * -1 * -6) <= (13 * 18) <= ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((越南位于亚洲。) or (芬兰的首都是阿布贾。)) or ((第二次世界大战开始发生在1939年。) or (油在常温下是液体。))) and ((氧气对人类生存是必需的。) or ((-2 + -17) == (-1 * -9 * 5 * 0))) and (not ((丹麦的首都是布鲁塞尔。) and ((-14 + 4) >= (-5 * 0))))) or (((((2 + 11) < (-4 * -7 - -4 * 5)) or ((11 * 13) > (8 * -8))) and (((-7 * -4 + -1 * 7) >= (7 - 17)) or (意大利位于大洋... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 63652323,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((越南位于亚洲。) or (芬兰的首都是阿布贾。)) or ((第二次世界大战开始发生在1939年。) or ... |
logic-v2 | Consider the following logical expressions:
A. (3 % 5) > (9 % 2)
B. not ((The French Revolution began occurred in 1789.) or (1967 is a leap year.))
C. not not (not (The 1952 Olympics were held in Helsinki.))
Determine which expressions are true. List all true option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 58373729,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (3 % 5) > (9 % 2)\nB. not ((The F... |
logic-v2 | Below are several boolean expressions:
A. not not ((not (((Spain is in Antarctica.) or (not not (The 2016 Olympics were held in Rio de Janeiro.))) and (There are 30 days in April.))) or ((not (1962 is a leap year.)) or (((4 + -5) < (11 + 18)) and (((18 * 6) < (16 - 9)) or (The chemical symbol for Uranium is P.)) and (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 20305749,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not ((not (((Spain is in Antar... |
logic-v2 | 评估以下每个表达式：
A. (((not ((-2 + 16) <= (4 ** 2) <= (17 * -6))) and ((not (鳄鱼是爬行动物。)) or ((2000年奥运会在悉尼举办。) or ((2016年奥运会在里约热内卢举办。) or ((9 * -5 * -5 * 10) <= (-8 + -1)))))) or (not ((1976年奥运会在墨尔本举办。) and (not not (((19 % 8) < (5 ** 2) < (-6 * 15)) and ((3 + 0) <= (38 % 5))))))) or (not not (not not ((氖的化学符号是Zn。) or (not not... | {
"game_data": {
"answer": "A,B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 38354427,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. (((not ((-2 + 16) <= (4 ** 2) <= (17 * -6))) and ((not (鳄鱼... |
logic-v2 | Study the following logical statements:
A. not not (not not (((Ice is a solid at room temperature.) or (The Titanic sank occurred in 1912.)) or ((((1 % 5) >= (34 % 10)) or ((6 - 14) <= (8 + -5))) and (not (The 1932 Olympics were held in Antwerp.)))))
B. not (not (((9 - -13) <= (3 * -5 + -6 * -10)) and (not not (((4 * ... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 10790238,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (not not (((Ice is a soli... |
logic-v2 | 分析以下逻辑表达式：
A. (((((12 + -4) > (6 + -19)) and (not not (法国大革命开始发生在1789年。))) or ((-15 + 15) <= (16 % 1))) or (((4 ** 2) <= (4 % 8)) and ((钛的化学符号是Ti。) and ((19 + -3) >= (2 ** 3))) and (not (光速约为每秒30万公里。)))) and (not (not ((not (龙虾有100条腿。)) and (not (丹麦的货币是卢比。)))))
B. (not (not not (((-1 * -1 + 1 * 2) < (-18 + -11)) and (... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 34115081,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (((((12 + -4) > (6 + -19)) and (not not (法国大革命开始发生在1789年。))) or ... |
logic-v2 | 检验这些表达式：
A. (第二次世界大战结束发生在1955年。) or (not not ((9 - -9) <= (-12 * 19))) or (not (not (硫的化学符号是Na。)))
B. not not (新加坡的货币是日元。)
C. 氧气对人类生存是必需的。
D. not not ((((11 - 7) < (10 * -7 + 2 * -7)) and ((6 * 15) <= (17 + -16))) or ((秘鲁位于南美洲。) and ((8 * -7 + 4 * 5) >= (-2 * 17))))
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 85171664,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (第二次世界大战结束发生在1955年。) or (not not ((9 - -9) <= (-12 * 19))) or (not (... |
logic-v2 | 考虑以下布尔表达式：
A. (((not (十二月有30天。)) or ((20 + 12) <= (21 % 10))) and ((爱尔兰的首都是都柏林。) or (((-2 * -2 + 0 * -1) < (8 * -2 * -9 * 10)) or (583是斐波那契数。)))) or ((((3 * -7) != (-13 - -10)) or ((瑞士的首都是伯尔尼。) or (82能被12整除。))) or (not not ((鸵鸟是鸟类。) and (铀的化学符号是U。))))
B. ((not ((21 % 6) == (6 + -19))) and (not not (中国的货币是瑞士法郎。)) and (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 7072866,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (((not (十二月有30天。)) or ((20 + 12) <= (21 % 10))) and ((爱尔兰的首都是都柏... |
logic-v2 | Below are several boolean expressions:
A. (not not ((not (not not ((-17 - 7) >= (9 - -8)))) and ((6 * -7 + 1 * -1) == (-1 + 10)) and ((3 * -5) < (2 * 7 * 0 * -8)))) and (((not (((8 * 8) > (-3 - 5)) or (A kangaroo has 8 legs.))) or ((19 - 16) <= (-4 - 5)) or (not (Australia is in Oceania.))) or (not (not not (Iron is a... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 46015464,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not not ((not (not not ((-17 - 7) >= ... |
logic-v2 | Evaluate each expression below:
A. not (not (not (not not ((15 + 19) < (18 * 20)))))
B. ((((0 - 6) >= (4 * 2 * 9 * -3)) and ((not not (The chemical symbol for Nickel is Ni.)) or (((0 * 9 - 0 * 5) != (10 % 3)) or ((5 - 0) == (17 * 7))))) and ((not not ((3 * -15) != (-1 * -16))) and ((2 - 20) != (40 % 1)))) or ((((((5 *... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 80454077,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (not (not (not not ((15 + 19) < (18 * 20)... |
logic-v2 | Below are several boolean expressions:
A. not not (((not (Saturn is the 4th planet from the Sun.)) or (not not (The speed of light is approximately 300,000 km/s.))) or ((1905 is a leap year.) and ((16 * 3) <= (-7 * 4))) or (((The currency of European Union is the Euro.) and (A pig has 4 legs.)) or ((The speed of light... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 7747163,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (((not (Saturn is the 4th p... |
logic-v2 | Review these logical expressions:
A. (((not not (The 1912 Olympics were held in Stockholm.)) or (The currency of United States is the Dollar.)) and ((10 % 10) < (2 ** 2) < (18 - -6))) or (not not ((The chemical symbol for Cobalt is Fe.) and ((Gold is a solid at room temperature.) or (Uranus is the 7th planet from the ... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 15575722,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (((not not (The 1912 Olympics were he... |
logic-v2 | Consider the following logical expressions:
A. not not (((5 ** 1) != (18 * 8)) or (not not ((38 % 7) <= (-3 - 20))))
B. not not (not ((A duck has 2 legs.) and (The chemical symbol for Zinc is Zn.)))
C. (((Wood is a gas at room temperature.) and (The chemical symbol for Gold is Au.)) or ((A octopus has 4 legs.) and (Th... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 9263474,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. not not (((5 ** 1) != (18 ... |
logic-v2 | Evaluate each expression below:
A. not not (((-3 - 8) == (-4 + -13)) or ((15 * -19) == (-10 + 4)))
B. (not ((The capital of Venezuela is Caracas.) and (Sound cannot travel through a vacuum.))) and (not not (Chile is in Antarctica.)) and ((((8 * 8) == (-8 * 9 - 8 * 9)) and (The square root of 25 is 14.)) or (Light trav... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 31428316,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (((-3 - 8) == (-4 + -13)) or ((15 *... |
logic-v2 | Evaluate each expression below:
A. not (not (not ((((The chemical symbol for Phosphorus is H.) and (129 is an odd number.)) or ((-9 * 5) == (2 + -7))) or (((Venus is the 8th planet from the Sun.) or ((5 % 1) < (-6 - 2) < (10 * -1))) and ((Oil is a liquid at room temperature.) or ((17 + 18) >= (1 + 19)))))))
B. not (no... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 21307630,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not (not ((((The chemical symbol for... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (-18 + 10) != (3 ** 3)
B. not (((-3 * 10) <= (0 * -13) <= (-5 * -7 * -1 * 9)) and ((17 * -6) < (-3 * 15)))
C. not not ((The 1972 Olympics were held in Munich.) or (The capital of Saudi Arabia is Riyadh.))
D. The capital of Morocco is Raba... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 19412294,
"true_count": 7
},
"question": "Evaluate the following boolean expressions and select the ones that are... |
logic-v2 | Given the following boolean expressions:
A. not ((18 - -9) < (-3 + 8))
B. (8 * 4) == (-14 + -17)
C. (-8 * 7 + 9 * -7) >= (18 + 5)
D. ((The chemical symbol for Nickel is Ni.) or ((20 * 2) != (3 + 0))) and (((-1 - -3) == (3 * 10 - 0 * -2)) and (Mercury is the 1st planet from the Sun.))
Select all that evaluate to True.... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 297266,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not ((18 - -9) < (-3 + 8))\nB. (8 * 4)... |
logic-v2 | Examine these expressions:
A. not not (not ((not not ((((34 % 2) > (2 ** 2)) and (Steam is a solid at room temperature.)) or (not (The currency of Mexico is the Pound.)))) or ((not not ((The 1948 Olympics were held in Atlanta.) or (The currency of New Zealand is the Dollar.))) or (The currency of Russia is the Peso.))... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 71217030,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not not (not ((not not ((((34 % 2) > (2 ** 2)) a... |
logic-v2 | 研究以下逻辑语句：
A. (((((7 + 13) < (-6 * 19)) and ((8 + -6) == (5 ** 1))) or ((埃及位于非洲。) or (瑞典的货币是里亚尔。))) and (not not (((-20 * 19) != (14 * 4)) and (氦气在常温下是液体。)))) and (not not ((2 ** 1) < (15 * 3)))
B. ((第一部iPhone发布发生在2007年。) or ((((2 * 20) == (-11 + -10)) and (78大于47。)) and ((俄罗斯的首都是莫斯科。) or (澳大利亚的货币是澳元。)))) and (not (土星是... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 42941050,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (((((7 + 13) < (-6 * 19)) and ((8 + -6) == (5 ** 1))) or ((埃及位于非洲... |
logic-v2 | Given the following boolean expressions:
A. (not not (not (Sharks are mammals.))) and (not ((not ((Ice is a solid at room temperature.) or ((2 - 18) < (6 - -12) < (-17 + 16)))) or (A dragonfly is an insect.)))
B. (not ((((35 % 3) >= (5 ** 3)) and ((3 ** 2) >= (4 * 12))) and (((The chemical symbol for Manganese is U.) ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 49879583,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not not (not (Sharks are mammals.... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (not not (not not ((9 * 0 * 1 * -8) == (2 * -12))))) or (((2081 is a leap year.) or (A day on Earth is 24 hours.)) and (not not ((-7 * 4 + 8 * -1) < (-7 * -6 + -9 * 9)))) or (((((-19 - 20) > (-7 * 4 - -1 * -1)) and (The Sun revolves around the Earth.)) or ((Th... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 73716856,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (not not (not not (... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not not (((Helium is a gas at room temperature.) or ((not (A octopus has 0 legs.)) and ((The capital of France is Paris.) and ((4 * -15) < (-9 * 9 + -3 * 4) < (3 ** 1))))) and ((The currency of United Kingdom is the Sol.) and ((Earth... | {
"game_data": {
"answer": "A,C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 79680120,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Given the following boolean expressions:
A. not ((((25 % 2) <= (2 * -5 * -10 * -8)) and ((-16 - -5) < (5 ** 2))) and (not not (The Moon produces its own light.)))
B. (not not ((2026 is a leap year.) and ((3 * 3) < (3 * -15)))) or (not not (not ((-4 * -15) < (9 + -2))))
C. not (Electricity flows faster than light.)
D. ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 67384713,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not ((((25 % 2) <= (2 * -5 * -10... |
logic-v2 | Consider the following logical expressions:
A. not not (((not not ((not not (The capital of Spain is Madrid.)) or (not not ((-13 + -13) != (-17 - -13))))) or (Nigeria is in Africa.) or (not not (not ((10 * -5) == (-6 - 0))))) and (((Mars is the 7th planet from the Sun.) or ((A dolphin is a fish.) and (((18 % 7) <= (8 ... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 88715327,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not not (((not not ((not not ... |
logic-v2 | Consider the following logical expressions:
A. not not ((not not ((not not ((The human body has 150 bones.) or ((8 * -6 - 6 * -9) >= (-8 * -7 - -2 * -6)))) or ((A swan is a bird.) and (26 is less than or equal to 47.)) or (not (not ((-20 * 17) < (7 + 1)))))) or ((((8 % 2) < (4 * 14)) or (not (Nigeria is in North Ameri... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 47828605,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not not ((not not ((not not ((T... |
logic-v2 | Evaluate each expression below:
A. not (not ((not (Spiders are insects.)) or (not not ((6 % 10) < (0 - 7)))))
B. not ((not not (((2 - -17) == (2 - -9)) and (Saudi Arabia is in Oceania.) and (not not (The chemical symbol for Oxygen is Ca.)))) and (((((A bear is an insect.) or (World War I began occurred in 1914.)) or (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 49157246,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not ((not (Spiders are insects.)) or... |
logic-v2 | Evaluate each expression below:
A. (12 - -13) != (-17 * -2)
B. Carbon dioxide is a gas at room temperature.
C. The speed of light is approximately 300,000 km/s.
List all options that evaluate to True, separated by commas, in \boxed{}. | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 61703012,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (12 - -13) != (-17 * -2)\nB. Carbon dioxi... |
logic-v2 | Study the following logical statements:
A. (not not (not (((27 % 7) < (10 * 3 * 0 * 5)) or ((-1 + 18) > (12 + -15)) or (((The first iPhone was released occurred in 2007.) or ((-13 - -15) == (9 + -19))) or (Jupiter is the 5th planet from the Sun.))))) and (not (((((3 ** 2) >= (1 ** 2)) or (World War I began occurred in... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 87608808,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not not (not (((27 % 7) < (10 * 3 ... |
logic-v2 | 检验这些表达式：
A. ((not ((泰国位于亚洲。) or (1960年奥运会在罗马举办。))) and ((-18 + 4) < (-8 * 9 - 0 * -8))) and ((氦气在常温下是气体。) and (((-7 * -12) < (16 * -18)) or (古巴的首都是哈瓦那。)) and (((苏联解体发生在1989年。) and ((47 % 3) >= (-10 * 6 * -3 * 7))) or (((18 + 19) <= (-5 + 3)) or (第一次世界大战开始发生在1916年。))))
B. (not not (55小于等于7。)) or ((((硅的化学符号是Al。) or ((0 ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 83011995,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((not ((泰国位于亚洲。) or (1960年奥运会在罗马举办。))) and ((-18 + 4) < (-8 * 9 - ... |
logic-v2 | Below are several boolean expressions:
A. (not ((not not (India is in South America.)) and (The capital of Netherlands is Amsterdam.))) and (not (Water is a liquid at room temperature.))
B. (((not (The chemical symbol for Calcium is Ca.)) and (South Korea is in Asia.)) and (((The 1948 Olympics were held in London.) or... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 65226814,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (not ((not not (India is in South Am... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (((not not (墨西哥位于北美洲。)) or ((not (((14 - -6) >= (14 + -7)) and (磷的化学符号是P。))) or (((-2 + 15) <= (-5 * 4 + 8 * -9) <= (-18 - -20)) or ((8 * 5 - 8 * -3) != (9 % 3))) or ((not (土耳其的首都是安卡拉。)) and ((加拿大的货币是日元。) and (泰坦尼克号沉没发生在1912年。))))) and (not (not not (企鹅能飞翔。))))
B. not (((((((-7 * 16) > (37... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 68307572,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (((not not (墨西哥位于北美洲。)) or ((not (((14 - -6) >= (... |
logic-v2 | Study the following logical statements:
A. (not not (((((-1 * -1 - 1 * 6) <= (-9 - -6)) and (2076 is a leap year.)) or (((31 % 1) < (5 ** 1) < (17 * 13)) or ((17 + 5) != (2 ** 3)))) and (not not ((not ((3 * 13) > (-18 - 10))) and ((Mercury is a liquid at room temperature.) or (109 is an even number.)))))) and (not (((... | {
"game_data": {
"answer": "B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 84268476,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (not not (((((-1 * -1 - 1 * 6) ... |
logic-v2 | Given the following boolean expressions:
A. There are 31 days in July.
B. (not (1982 is a leap year.)) or (((2 ** 3) < (11 + -3) < (31 % 3)) and (The currency of United Kingdom is the Peso.))
C. not not (The chemical symbol for Mercury is Hg.)
D. (32 % 7) < (-14 + -11)
E. (((10 - -13) < (-14 - 0)) and ((-14 - -18) != ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 13295832,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. There are 31 days in July.\nB. (... |
logic-v2 | 评估以下每个表达式：
A. not (not ((尼日利亚的首都是阿姆斯特丹。) and (2052年是闰年。)))
B. (not (((not (第一次世界大战开始发生在1914年。)) or ((牛有4条腿。) or (1908年奥运会在洛杉矶举办。))) and (银的化学符号是Ag。) and ((-6 * 0 * 0 * -8) < (18 * -11)))) or (((((智利的货币是兰特。) or (氮的化学符号是N。)) and ((丹麦的首都是雅典。) or ((11 + 14) >= (15 - 6)))) or (以色列的货币是克朗。)) or (((((-10 * 3) < (-1 + 7) < (20... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 68515798,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not (not ((尼日利亚的首都是阿姆斯特丹。) and (2052年是闰年。)))\nB. (not (((not (第一次世... |
logic-v2 | Review these logical expressions:
A. not (((1944 is a leap year.) and ((-12 - -2) >= (7 * 0 * -10 * 3))) and (((12 % 7) < (10 % 7) < (0 - 16)) and ((-17 * -8) == (-18 * 11))))
B. (((3 ** 3) < (-2 * 10 * -9 * -10)) or (((4 ** 2) < (18 % 8)) and ((6 - 16) < (9 - -19) < (2 * -2 + -5 * 3)))) and (not not (((-6 - -5) >= (1... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 69135174,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (((1944 is a leap year.) and ((-12 - ... |
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