env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 研究以下逻辑语句：
A. (((美国宣布独立发生在1775年。) and (((40 % 8) == (15 * -16)) or (1988年奥运会在亚特兰大举办。))) or ((((-9 + 5) <= (6 + -18) <= (-17 * 0)) and (((5 ** 1) > (-1 * 2 * -9 * 8)) or ((-18 + 12) > (-6 * -2)))) or (not not (((-20 * 18) >= (4 ** 1)) or (二氧化碳在常温下是气体。))))) and (((((人体有150块骨头。) or ((6 * 0 - 0 * -10) >= (20 * -7))) or (法国... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 66316600,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (((美国宣布独立发生在1775年。) and (((40 % 8) == (15 * -16)) or (1988年奥运会在亚特... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((not ((34 % 1) > (-3 + 20))) and ((澳大利亚的首都是维也纳。) and (闪电不会两次击中同一个地方。))) and ((冰的密度比液态水小。) and ((3 ** 2) >= (7 - -1))) and ((-2 * -4 * 1 * -8) <= (20 + -10))) and (not (not ((11 * 8) >= (11 + -13))))
B. (not not ((19 * 9) == (-6 + -4))) or ((not not ((1 ** 2) < (11 - 9))) or (((2 ** 3) >= (5 ... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 35723464,
"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 ((34 % 1) > (-3 + 20))) and ((澳大利亚的首都是维也... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((-20 + -7) < (1 ** 3)) or (伦敦大火发生在1666年。)
B. (((冰在常温下是固体。) or (光速约为每秒30万公里。)) or (((5 + 3) <= (3 ** 3) <= (1 ** 2)) or ((5 ** 3) < (9 * -1 - 6 * 5)))) and ((三月有31天。) and ((18 * 8) != (-6 - -9))) and ((not (秘鲁位于南美洲。)) and (not not (冰的密度比液态水小。)))
C. (人类每只手有五个手指。) and ((not not (氦的化学符号是He。)) or ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 45211165,
"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. ((-20 + -7) < (1 ** 3)) or (伦敦大火发生在1666年。)\nB. (((冰在常... |
logic-v2 | Study the following logical statements:
A. ((-5 * -2 * 5 * -10) < (-3 * 9 - -2 * 8)) or ((not not (Ice is less dense than liquid water.)) or ((-16 + 1) <= (15 + 3)))
B. ((not (The capital of Netherlands is Amsterdam.)) or ((Australia is in Oceania.) or ((18 - 16) != (4 ** 1)))) and ((3 + -20) >= (4 * -5 + 9 * 7))
C. (... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 19478118,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((-5 * -2 * 5 * -10) < (-3 * 9 - ... |
logic-v2 | 研究以下逻辑语句：
A. ((11 * 19) >= (5 - 17)) or ((1 * 3 + -7 * 1) != (13 * -10)) or (not (铂的化学符号是H。))
B. ((((5 * 3 - -8 * -4) <= (4 % 8) <= (9 + -12)) or ((0 + -14) < (4 ** 3))) or ((中国的首都是北京。) or (钾的化学符号是K。))) and (((土星是距离太阳第6近的行星。) and ((10 * 1 + -1 * -4) < (27 % 6))) or ((氧的化学符号是O。) or ((-7 * -15) > (43 % 1))))
C. (一月有31天。... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 1446204,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. ((11 * 19) >= (5 - 17)) or ((1 * 3 + -7 * 1) != (13 * -10)) ... |
logic-v2 | Analyze these boolean expressions:
A. not not (not not (not (Electricity flows faster than light.)))
B. not not ((12 - 13) != (8 - 9))
C. not not (not not ((The 1968 Olympics were held in Atlanta.) or ((4 * -8 * -5 * 5) >= (-8 + 9))))
D. (((11 - -10) != (-13 * -15)) or (The chemical symbol for Nickel is Ni.)) and (((-... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 38009850,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not not (not (Electricity flows... |
logic-v2 | Below are several boolean expressions:
A. ((((The 1960 Olympics were held in Rome.) or ((-16 * -6) != (4 ** 1))) or (not not (The 1932 Olympics were held in London.))) or (not (The capital of Philippines is Manila.))) or ((((-8 - -18) < (19 * 6)) or (((7 * -5 + 6 * 1) >= (10 * -7 - -4 * 4)) and (The 1932 Olympics were... | {
"game_data": {
"answer": "A,B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 96437882,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. ((((The 1960 Olympics were h... |
logic-v2 | 评估以下每个表达式：
A. not (((1 ** 1) == (-8 * -1)) and (泰坦尼克号沉没发生在1911年。) and ((16 * -15) == (-1 * 4 - -4 * 10)))
B. not not (((((17 * -15) != (-13 - -13)) and ((16 * 12) != (18 * -11))) and ((5 ** 1) <= (-16 + -12))) or (not not (((18 + 18) >= (-20 * 19)) and (1936年奥运会在伦敦举办。))))
C. not (((((-20 - -6) <= (9 * -1 - 9 * 3)) or ... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 91433779,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not (((1 ** 1) == (-8 * -1)) and (泰坦尼克号沉没发生在1911年。) and ((16... |
logic-v2 | 检验这些表达式：
A. not not ((((not not ((18 + 13) == (7 * -9))) and (蜜蜂是昆虫。) and ((-20 + -2) <= (-9 * -10 * 8 * -5) <= (1 ** 2))) or (not ((12 * -18) > (3 * 6)))) and (((((乌龟是爬行动物。) and (阿根廷的首都是布宜诺斯艾利斯。)) and ((莱特兄弟首次飞行发生在1903年。) and (泰国位于亚洲。))) or (276是完全平方数。)) and (((not (沙特阿拉伯的货币是里亚尔。)) or (not (鲨鱼是哺乳动物。))) and ((not (鱼有1... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 37051690,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not ((((not not ((18 + 13) == (7 * -9))) and (蜜蜂是昆虫。) and ((-20 ... |
logic-v2 | Study the following logical statements:
A. (8 % 7) <= (5 ** 3) <= (-10 - 18)
B. The capital of South Korea is Seoul.
C. ((There are 30 days in October.) or (A cow has 4 legs.)) or ((-2 * 0 + 8 * -2) < (-5 * -10))
D. not (not not ((-5 * -6 - 7 * -1) < (0 + 1)))
E. ((Mars is the 3rd planet from the Sun.) or (The 1908 Ol... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 50727758,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (8 % 7) <= (5 ** 3) <= (-10 - 18)... |
logic-v2 | 研究以下逻辑语句：
A. (2 * 18) < (-9 * -17) < (-6 - -11)
B. ((7 * 12) < (10 + 2)) and ((第二次世界大战开始发生在1949年。) or (九月有30天。))
C. ((0 + -11) <= (19 % 8) <= (8 - -18)) and (not (哥伦比亚位于北美洲。))
D. not ((尼日利亚位于大洋洲。) and (苏联解体发生在2001年。))
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": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 64741887,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (2 * 18) < (-9 * -17) < (-6 - -11)\nB. ((7 * 12) < (10 + 2)) and ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((not (not not (Sound travels faster in a vacuum.))) or (not ((((33 is divisible by 12.) or (The currency of Canada is the Rand.)) or (not not (The 2024 Olympics were held in Montreal.))) and (((The 1932 Olympics were held in Beijing.) or (The capital of Malays... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 39136609,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((not (not not (Soun... |
logic-v2 | 评估以下每个表达式：
A. not not (((((13 - -11) < (-18 + 17) < (-11 * -12)) or ((5 % 8) <= (-5 * 3 + -9 * 4))) or (not ((18 - 20) > (3 ** 3)))) and (not ((三月有31天。) and (羊是哺乳动物。))))
B. not (not not (((254是完全平方数。) or (海王星是距离太阳第1近的行星。)) or (挪威的首都是雅加达。)))
C. not not ((((-5 * -18) != (-13 - 1)) and (人类只使用了大脑的10%。)) or ((地球是距离太阳第3近的行星... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 71440847,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not not (((((13 - -11) < (-18 + 17) < (-11 * -12)) or ((5 % 8)... |
logic-v2 | Analyze these boolean expressions:
A. ((28 % 9) >= (1 ** 3)) and ((Neptune is the 5th planet from the Sun.) or (A horse has 100 legs.))
B. The capital of Hungary is Budapest.
C. (5 ** 2) <= (8 * -3 - 9 * -6)
D. (not ((-18 + -9) <= (16 - 11) <= (16 + 6))) or ((-9 - -10) >= (7 * -3 - 8 * -5))
E. The capital of Romania i... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 46406600,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((28 % 9) >= (1 ** 3)) and ((Neptune is ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((20 - 19) > (-6 + 19)) or (not not ((2 ** 1) > (-6 * 7)))
B. (8 - -1) < (-4 * 0 + 1 * 3)
C. (-2 * 0 + 1 * 2) == (-10 - -15)
Which options evaluate to True? List all true option labels separated by commas. Put your final answer in \boxed... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 50060264,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Review these logical expressions:
A. The currency of Philippines is the Real.
B. The chemical symbol for Oxygen is Na.
C. ((The chemical symbol for Iron is Cl.) and (The chemical symbol for Silver is Ag.)) and (((-8 - 6) != (2 * -9 + -2 * -5)) or (Sound cannot travel through a vacuum.))
D. The capital of Kenya is Nair... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 27744972,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. The currency of Philippines is the Real... |
logic-v2 | 给定以下布尔表达式：
A. (not not (((铅的化学符号是Pb。) or (铀的化学符号是Co。)) and (((-1 * -17) > (2 ** 2)) or ((4 * -10 - -7 * -8) <= (16 * -4))))) or ((not ((氧气在常温下是气体。) and ((41 % 2) <= (10 * 4 + 4 * 9)))) or (not (not (狗有4条腿。))))
B. not (not (委内瑞拉的首都是奥斯陆。))
C. (not not (((1是完全平方数。) and ((-16 + 11) >= (-4 * 8 * 8 * 5))) or (not ((-1 * 15)... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 17911496,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (not not (((铅的化学符号是Pb。) or (铀的化学符号是Co。)) and (((-1 * -17) > (2... |
logic-v2 | Consider the following logical expressions:
A. ((The 2004 Olympics were held in Berlin.) or (not not ((1 + 20) > (1 ** 3)))) or (((The currency of Brazil is the Real.) and ((19 - -9) < (-10 - 19))) and (((-13 - -4) <= (-18 + 15)) or ((-16 + 9) <= (9 - 16))))
B. (((The 1900 Olympics were held in Mexico City.) or (Neptu... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 73096320,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((The 2004 Olympics were held... |
logic-v2 | Examine these expressions:
A. (not (((4 * -19) < (0 - -6)) and (44 is divisible by 7.))) or ((10 * 3) < (-8 * -17) < (1 * -5 - 2 * 7))
B. ((0 * 7 - -7 * 3) >= (5 * -6)) or ((1999 is a leap year.) and (not (The capital of Thailand is Bangkok.)))
C. ((((12 - -20) > (9 * 7 + 5 * -2)) and (A cow has 4 legs.)) and ((Helium... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 23812860,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. (not (((4 * -19) < (0 - -6)) and (44 is di... |
logic-v2 | Examine these expressions:
A. ((not not (Neptune is the 2nd planet from the Sun.)) or ((France is in Europe.) and ((-13 - -5) < (6 + 3) < (-12 - 19)))) and (not ((There are 30 days in November.) and ((1 * -5 - 4 * 1) >= (11 - -17))))
B. ((not not ((-4 * 6 - -6 * -8) != (-2 + 17))) or (((-2 + 19) != (-10 * 15)) and (A ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 77666497,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. ((not not (Neptune is the 2nd planet from th... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((not (((1 ** 2) < (8 * -3 - -8 * -9) < (0 - 8)) or (第一部iPhone发布发生在2008年。))) or (蝴蝶有6条腿。)) and ((((哥伦布到达美洲发生在1492年。) or (鲸鱼是鱼类。)) and ((秘鲁的货币是索尔。) or ((-17 - -9) == (19 + -14)))) or (not ((巴西位于南美洲。) and ((17 - 15) <= (-10 * 3 + -8 * 3)))))) and ((not not (铅的化学符号是Cu。)) or (((水在常温下是液体。) or (not (南非... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 77561769,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((not (((1 ** 2) < (8 * -3 - -8 * -9) < (0 - 8)) or (第... |
logic-v2 | Examine these expressions:
A. not not (not ((((4 * 0 * -6 * -7) > (-1 * -2 - -5 * 0)) and (not (The 1956 Olympics were held in Melbourne.))) or (((1 ** 2) >= (-1 - 18)) and (The Great Fire of London occurred in 1666.)) or ((not ((8 - 7) <= (19 + 13))) and ((168 is an odd number.) and ((7 - 17) > (6 % 2))))))
B. ((not ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 97347773,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not (not ((((4 * 0 * -6 * -7) > (-1 * -2 - -5 ... |
logic-v2 | Examine these expressions:
A. not not ((not not (not not (((2 * 5) <= (17 + 11)) and (Antarctica is the coldest continent.)))) or (((not not (The 2000 Olympics were held in Sydney.)) or (Helium is a gas at room temperature.)) or ((((0 * -10 - 10 * 3) < (-6 * 0 - -7 * -2) < (-11 * 11)) or (There are 28 days in August.)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 20536292,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not ((not not (not not (((2 * 5) <= (17 + 11))... |
logic-v2 | 评估以下每个表达式：
A. not (not not (太阳绕地球运转。))
B. (-5 * 9 * 2 * -4) == (0 * 1 - -1 * 0)
C. 铁的化学符号是Ti。
D. 电流比光速更快。
E. not not (not not ((3 ** 1) >= (-10 * -15)))
F. 第一次世界大战开始发生在1914年。
G. (-18 + -1) != (4 * 8 - -7 * 10)
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 47100092,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not (not not (太阳绕地球运转。))\nB. (-5 * 9 * 2 * -4) == (0 * 1 - -1 ... |
logic-v2 | 下面是几个布尔表达式：
A. not ((第二次世界大战结束发生在1955年。) and ((日本的货币是克朗。) and ((6 * 7 - -3 * -1) >= (10 - 0))))
B. not not (137是斐波那契数。)
C. not not (中国的首都是北京。)
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,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 99895231,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not ((第二次世界大战结束发生在1955年。) and ((日本的货币是克朗。) and ((6 * 7 - -3 * -... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not (((not (((天王星是距离太阳第7近的行星。) and ((6 * 3 - 9 * -9) < (-12 + -10) < (3 ** 2))) and (((-19 * 8) > (-9 - 11)) or (水在常温下是固体。)))) and (((11 - 17) < (-12 - -15)) and (not (蜻蜓是哺乳动物。)))) and (not (not (((-5 * 3 + 8 * 5) <= (3 ** 3)) or ((美国的货币是比索。) and ((2 - 9) >= (-18 * 4)))))))
B. (not (not ((((日本... | {
"game_data": {
"answer": "C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 7806169,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (((not (((天王星是距离太阳第7近的行星。) and ((6 * 3 - 9 * -... |
logic-v2 | 考虑以下布尔表达式：
A. not (not not (((5 ** 2) > (4 * -5 + 2 * -2)) or (((11 + -7) >= (0 * 3 - 10 * -5)) or (金的化学符号是Ag。))))
B. not not (((海王星是距离太阳第4近的行星。) or (油在常温下是液体。)) or (((not not (爱尔兰的首都是都柏林。)) or (not not (氧的化学符号是Ni。))) and ((1963年是闰年。) or (not not (63能被7整除。)))))
C. not (not not (((苏联解体发生在1993年。) or (((0 + 10) < (-9 * -... | {
"game_data": {
"answer": "B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 18938372,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not (not not (((5 ** 2) > (4 * -5 + 2 * -2)) or (((11 + -7) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((86 is a prime number.) or (The chemical symbol for Sodium is Na.)) or (Oil is a liquid at room temperature.) or (((not not (The capital of Russia is Moscow.)) or (not ((-1 - -19) != (-14 + 9)))) and (((The capital of Denmark is Copenhag... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 73181327,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 评估以下每个表达式：
A. (木星是距离太阳第7近的行星。) or (not (((2 ** 3) <= (-4 - 14)) and ((-12 - -5) <= (-3 * -4 + 6 * -7))))
B. ((((-9 + 13) < (-2 * -11)) and (埃及位于欧洲。)) or (not not ((5 * 1) < (-20 - 13)))) or (not not (海王星是距离太阳第1近的行星。))
C. ((not (1924年奥运会在巴黎举办。)) and ((镍的化学符号是Si。) or (383是完全平方数。))) or (not not ((13 - -20) >= (0 * -10 + ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 9497880,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (木星是距离太阳第7近的行星。) or (not (((2 ** 3) <= (-4 - 14)) and ((-12 - -5)... |
logic-v2 | Analyze these boolean expressions:
A. not ((The currency of Israel is the Lira.) and (((The human body has 150 bones.) and (World War II began occurred in 1939.)) and ((Thailand is in Europe.) and (United States is in North America.))))
B. ((not (not ((-8 * 8 - -1 * -6) == (-9 - 9)))) or ((3 ** 2) > (11 % 5))) and (((... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 15219663,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not ((The currency of Israel is the ... |
logic-v2 | 考虑以下布尔表达式：
A. 氦气在常温下是气体。
B. 伦敦大火发生在1666年。
C. not ((1 * -11) <= (-8 * 7 - 0 * 3))
D. not not (((-13 - -16) != (49 % 4)) or ((-7 + -5) < (-2 * -16)))
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 29240063,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. 氦气在常温下是气体。\nB. 伦敦大火发生在1666年。\nC. not ((1 * -11) <= (-8 * 7 -... |
logic-v2 | Examine these expressions:
A. (not (not ((not not (There are 31 days in January.)) or (not (The 1900 Olympics were held in Paris.))))) or (((((The capital of New Zealand is Wellington.) or ((-9 - 1) < (11 - 3))) and (((4 % 5) != (-14 - 17)) or ((19 + -16) < (8 * -2 + 6 * 5)))) or ((not (A human is a mammal.)) or (Ital... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 77060400,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not (not ((not not (There are 31 days in Janu... |
logic-v2 | Given the following boolean expressions:
A. ((28 % 8) > (45 % 4)) or (not not (Ice is less dense than liquid water.)) or (not not (((5 ** 1) < (1 + -6)) and ((3 ** 3) > (7 + 8))))
B. not not ((not not (World War II began occurred in 1939.)) or (((20 + -8) == (2 + -7)) and ((16 % 7) <= (-10 * -7 + -10 * -9) <= (-1 + -6... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 13717699,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. ((28 % 8) > (45 % 4)) or (no... |
logic-v2 | 给定以下布尔表达式：
A. not (((氧气在常温下是气体。) and ((20 - -5) <= (10 + 10))) and (((5 ** 2) > (-10 * -1 * -5 * -9)) and (巴西的首都是巴西利亚。)))
B. (汞在常温下是气体。) or ((((16 + 10) <= (9 * 0 - 5 * -1) <= (2 - -14)) or ((-10 + -4) >= (-10 * -1 - 10 * -7))) or (铀的化学符号是U。))
C. (not not (((-20 + 4) != (-18 - 9)) and ((1 ** 2) >= (18 + -11)))) or (no... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 18823686,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not (((氧气在常温下是气体。) and ((20 - -5) <= (10 + 10))) and (((5 ** 2... |
logic-v2 | Given the following boolean expressions:
A. not not (((-1 - -16) >= (-5 - 7)) and (not not (The currency of Singapore is the Dollar.)))
B. not not ((5 + 12) > (-4 * -1 + 6 * -4))
C. not not ((((-8 * -13) <= (2 ** 1) <= (-15 - -16)) and (The 1968 Olympics were held in Rome.)) and (not ((40 % 5) != (18 * -18))))
D. ((-4... | {
"game_data": {
"answer": "A,B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 10049202,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. not not (((-1 - -16) >= (-5 - ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((第二次世界大战开始发生在1939年。) and (沙特阿拉伯的首都是内罗毕。))
B. ((((-18 + -15) != (15 + 10)) and (委内瑞拉的首都是加拉加斯。)) or (((-15 - 12) <= (-10 * -9 + 4 * 3)) and ((-6 * -10 * -4 * -4) <= (3 ** 2)))) or ((((6 * -2 - 6 * 6) >= (-7 * -8)) and ((5 % 7) == (-5 * 18))) and ((酒精在常温下是气体。) or ((5 ** 1) == (-12 - 6))))
C.... | {
"game_data": {
"answer": "A,B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 67609163,
"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 ((第二次世界大战开始发生在1939年。) and (沙特阿拉伯的首都是内罗毕。))\... |
logic-v2 | Study the following logical statements:
A. (3 * 8 - -3 * -3) < (39 % 3) < (39 % 5)
B. ((The 1972 Olympics were held in Munich.) or ((-15 * 12) <= (9 * 10 * 0 * 4))) and (not not ((1 ** 3) <= (1 ** 1)))
C. (not not ((-4 * 5 - 3 * 9) != (-20 + -5))) or (The currency of Peru is the Sol.)
D. (not (The chemical symbol for ... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 21640280,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (3 * 8 - -3 * -3) < (39 % 3) < ... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((瑞典的货币是泰铢。) and ((10 * -7 + 3 * 9) > (12 % 2))) or (((5 ** 2) == (-16 - -10)) and (葡萄牙的首都是里斯本。)))
B. ((瑞典的首都是斯德哥尔摩。) and ((83是质数。) and (苏联解体发生在1981年。))) and (not not ((中国长城是在一年内建成的。) or ((6 + 12) > (-7 + -6))))
C. not ((10 % 6) == (-1 * 13))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 3984167,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not not (((瑞典的货币是泰铢。) and ((10 * -7 + 3 * 9) > (12 % 2))) or (((5 *... |
logic-v2 | Study the following logical statements:
A. not not (not not (((((5 ** 1) > (-8 + 5)) and ((1 ** 2) <= (14 - 0))) and (not ((-8 - 6) >= (2 * -2 - 5 * 4)))) or (not (There are 30 days in February.)) or ((not not ((-9 * -5 * -9 * -10) <= (0 - 9) <= (-15 + 0))) and ((The 2004 Olympics were held in Athens.) or (Water is a ... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 59107302,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (not not (((((5 ** 1) > (... |
logic-v2 | Study the following logical statements:
A. (not (Chile is in South America.)) or ((There are 29 days in January.) or (The currency of Hungary is the Krone.))
B. ((12 - -2) <= (5 ** 3)) or (60 is divisible by 10.)
C. not ((4 * -2 + -10 * 2) != (14 - 17))
D. (((-5 * 6 + 4 * 1) <= (-18 - -2) <= (2 - 18)) and (A butterfly... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 15157291,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not (Chile is in South America.)) ... |
logic-v2 | Below are several boolean expressions:
A. not not (((not (1964 is a leap year.)) or (not ((-14 * -8) <= (12 + 10)))) or (((((4 * 6) < (1 ** 2)) and (The capital of South Korea is Caracas.)) and ((The currency of United Kingdom is the Pound.) or ((44 % 3) >= (3 - 5)))) or (A butterfly has 6 legs.)))
B. ((not not (not n... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 48147450,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not (((not (1964 is a leap y... |
logic-v2 | 考虑以下布尔表达式：
A. not not (not not (第一次世界大战结束发生在1917年。))
B. 摩洛哥位于非洲。
C. (14 - -16) < (-6 + 4)
D. not ((十月有30天。) or ((-7 - 2) != (3 * -2)))
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 33475923,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not not (not not (第一次世界大战结束发生在1917年。))\nB. 摩洛哥位于非洲。\nC. (14 - -16)... |
logic-v2 | 审视以下逻辑表达式：
A. (not not ((not not ((-17 * -12) == (-9 - 14))) and ((((15 - 13) == (20 * 2)) or ((5 + -13) == (9 + 17))) and (企鹅能飞翔。)))) or (not (((not ((4 ** 3) != (11 - -16))) and ((声音无法在真空中传播。) and ((3 * 1) < (13 - 2)))) or (((30 % 9) == (1 * -9)) and (((4 ** 2) > (-9 * -6)) and (天王星是距离太阳第1近的行星。)))))
B. not not ((((n... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 1933299,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. (not not ((not not ((-17 * -12) == (-9 - 14))) and ((((15 - 1... |
logic-v2 | Below are several boolean expressions:
A. A day on Earth is 24 hours.
B. not not (not ((18 - -14) > (19 % 4)))
C. ((The currency of Brazil is the Dong.) and (((5 ** 1) >= (2 + 3)) and (The currency of Saudi Arabia is the Peso.)) and (The square root of 196 is 14.)) and (not (Egypt is in Antarctica.))
D. not ((The Unit... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 50465848,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. A day on Earth is 24 hours.\nB. not no... |
logic-v2 | Below are several boolean expressions:
A. not (not not ((not (not ((Oxygen is a gas at room temperature.) or ((2 ** 2) <= (10 * -4 * -8 * 7))))) or (A spider has 10 legs.) or (not not ((9 + 9) == (-13 - -8)))))
B. not not (((((There are 30 days in June.) or (not not (The chemical symbol for Neon is Pt.))) and (not (((... | {
"game_data": {
"answer": "C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 21108921,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not not ((not (not ((Oxygen is ... |
logic-v2 | Evaluate each expression below:
A. (not (((not (Venus is the 2nd planet from the Sun.)) and ((The 1908 Olympics were held in London.) and (The 2000 Olympics were held in Sydney.))) and (not ((There are 29 days in May.) and ((-12 - -12) > (4 * 5)))))) and (((not (2099 is a leap year.)) or ((13 % 5) <= (5 ** 2))) and (A... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 18861777,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (not (((not (Venus is the 2nd planet from the... |
logic-v2 | Review these logical expressions:
A. (((2 ** 1) <= (2 + 5) <= (-12 * -17)) and (Jupiter is the 5th planet from the Sun.)) or ((82 is less than or equal to 72.) and (Neptune is the 7th planet from the Sun.))
B. not ((The first airplane flight by the Wright Brothers occurred in 1903.) or (Indonesia is in Africa.))
C. ((... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 21261713,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (((2 ** 1) <= (2 + 5) <= (-12 * -17))... |
logic-v2 | 给定以下布尔表达式：
A. ((not not ((-1 + 3) <= (11 - 0) <= (8 + -10))) or (not (27能被9整除。))) or (巴西位于南美洲。) or (((2091年是闰年。) and (1924年奥运会在巴黎举办。)) and ((第二次世界大战结束发生在1943年。) and ((-2 + -7) >= (-1 - -14))))
B. ((not not ((-8 - 0) != (-7 * 9 * 2 * 7))) or (not ((6 - -20) < (2 ** 2)))) or ((not (法国的首都是拉巴特。)) and ((-2 * 10 - -3 * 1) <... | {
"game_data": {
"answer": "A,B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 11478955,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. ((not not ((-1 + 3) <= (11 - 0) <= (8 + -10))) or (not (27... |
logic-v2 | 下面是几个布尔表达式：
A. ((2075年是闰年。) or (not (1956年奥运会在墨尔本举办。))) or (not ((13 - -14) <= (28 % 5) <= (5 ** 3))) or (人类首次登月发生在1969年。)
B. (not (not not (1988年奥运会在首尔举办。))) or ((2 % 7) > (45 % 8))
C. (not (((5 * 5) > (-11 * -18)) and (地球是距离太阳第3近的行星。))) and ((氧的化学符号是O。) and (新西兰的首都是惠灵顿。)) and (not not (not (1955年是闰年。)))
D. (猫有4条腿。) ... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 98058662,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((2075年是闰年。) or (not (1956年奥运会在墨尔本举办。))) or (not ((13 - -14) ... |
logic-v2 | Examine these expressions:
A. The Berlin Wall fell occurred in 1989.
B. ((The capital of Sweden is Stockholm.) and (93 is greater than 53.)) and (France is in Europe.)
C. not (not (A turtle is a mammal.))
D. ((-7 * 2 * -1 * 8) == (1 ** 1)) and ((17 - -17) == (16 - -20))
E. The Soviet Union dissolved occurred in 1981.
... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 50013693,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. The Berlin Wall fell occurred in 1989.\nB. ((T... |
logic-v2 | 研究以下逻辑语句：
A. (-14 * 16) <= (4 ** 3)
B. ((0 * 4 - -1 * 7) == (17 - 10)) or ((天王星是距离太阳第5近的行星。) and (海王星是距离太阳第7近的行星。))
C. not not (哥伦比亚的货币是奈拉。)
D. (-6 - 2) > (4 ** 1)
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",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 15159946,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (-14 * 16) <= (4 ** 3)\nB. ((0 * 4 - -1 * 7) == (17 - 10)) or ((天... |
logic-v2 | Examine these expressions:
A. not not (The capital of Ireland is Dublin.)
B. not not (((-17 + 15) < (2 ** 3)) or (not (1988 is a leap year.)))
C. not (not (((3 ** 2) < (-13 * -17) < (-13 - -6)) and ((6 * 2 - 6 * 8) <= (0 * -2 - 0 * 1) <= (16 - -4))))
D. (not not ((-1 * 2 * -2 * -9) <= (1 ** 3) <= (12 - 5))) and (not n... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 49354403,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (The capital of Ireland is Dublin.)\nB... |
logic-v2 | 考虑以下布尔表达式：
A. ((not ((4 - 2) == (4 ** 2))) or ((美国位于大洋洲。) or (not not (尼日利亚的首都是奥斯陆。)) or (not (新西兰位于大洋洲。)))) and ((((((4 ** 1) <= (43 % 8) <= (1 + 9)) and ((-10 * 10) == (47 % 10))) and ((钾的化学符号是C。) or ((0 * -9 * 0 * -2) > (5 - -12)))) and (((5 * 18) < (5 * 5 - -4 * 6) < (0 - -8)) or (巴西位于南美洲。)) and (not not (((-7 * 6... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 78322935,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((not ((4 - 2) == (4 ** 2))) or ((美国位于大洋洲。) or (not not (尼日利亚的首都... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (There are 30 days in September.) or (The 1988 Olympics were held in London.)
B. (The Soviet Union dissolved occurred in 1991.) and ((Saturn is the 6th planet from the Sun.) or ((-15 + 8) < (1 ** 2) < (-1 * -9 + 3 * 1))) and ((The first m... | {
"game_data": {
"answer": "A,B,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 23277544,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | 给定以下布尔表达式：
A. (((1968年奥运会在墨西哥城举办。) and ((2016年奥运会在斯德哥尔摩举办。) or (地球是距离太阳第2近的行星。))) or ((-5 - -6) > (-8 + -14)) or (((1929年是闰年。) or ((2 ** 1) != (14 * -16))) and ((泰国位于亚洲。) or (汞在常温下是液体。)))) and (((not (26是质数。)) or (((6 - 1) >= (-14 - -10)) or (锰的化学符号是Mn。))) and (欧盟的货币是谢克尔。) and (加拿大位于北美洲。))
B. ((not ((352是斐波那契数。) and (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 7492528,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (((1968年奥运会在墨西哥城举办。) and ((2016年奥运会在斯德哥尔摩举办。) or (地球是距离太阳第2近的行星。)))... |
logic-v2 | 检验这些表达式：
A. ((加拿大的首都是渥太华。) and (not (西班牙位于欧洲。))) or ((-2 + 5) < (-10 * -8 - 8 * 8))
B. not ((((4 - 1) == (-7 + -16)) and (丹麦的货币是克朗。)) or (((5 ** 1) < (-13 + 6)) or ((-6 * -12) < (-9 * 8))))
C. (not (地球是距离太阳第3近的行星。)) or (not ((7 * -8) >= (1 * 7 - -9 * 6))) or (not not ((18 + 16) != (-13 + -16)))
D. not not (not not ((印... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 5172986,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((加拿大的首都是渥太华。) and (not (西班牙位于欧洲。))) or ((-2 + 5) < (-10 * -8 - 8... |
logic-v2 | Review these logical expressions:
A. (10 * 4) > (9 + 14)
B. ((Jupiter is the 5th planet from the Sun.) or ((5 - 12) == (10 * -1 * -4 * -5))) or (((-3 * 17) < (7 % 5) < (4 ** 2)) and (The capital of Sweden is Stockholm.))
C. not (((-3 - -17) > (4 - 6)) and ((-2 * 3 * -7 * -10) == (4 + 14)))
D. World War II ended occurr... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 30127660,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (10 * 4) > (9 + 14)\nB. ((Jupiter i... |
logic-v2 | Study the following logical statements:
A. ((10 * -8 * 10 * -7) <= (12 * 17) <= (-3 * 10 + -1 * 7)) or ((-1 - -3) < (-18 - -19) < (0 * -4))
B. (not ((27 % 6) < (-6 - -8))) or ((The chemical symbol for Oxygen is O.) or (Mexico is in North America.))
C. not not (((1 - 15) <= (4 * 2 - -1 * -8)) and ((10 + 17) != (-8 * 9)... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 53339683,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((10 * -8 * 10 * -7) <= (12 * 17)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((阿根廷位于北美洲。) and ((-17 * -14) != (2 * 5 * -6 * 4))) and (not not (第一次世界大战开始发生在1909年。))) or ((2020年奥运会在首尔举办。) and ((2016年奥运会在洛杉矶举办。) and (法国大革命开始发生在1789年。)))) or (not not (海王星是距离太阳第5近的行星。))) or (((not (not ((14 - -19) < (14 - 20)))) and (((-1 * -6 + -1 * 9) >= (-2 * 4 * -1 * -1)) or (1958年是闰年。)))... | {
"game_data": {
"answer": "B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 38178683,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((阿根廷位于北美洲。) and ((-17 * -14) != (2 * 5 * -6 * 4)))... |
logic-v2 | 研究以下逻辑语句：
A. (((((2 ** 2) == (-3 * -8 + -1 * -7)) and ((5 + -13) >= (-2 - 6))) and (1948年是闰年。)) or ((((泰坦尼克号沉没发生在1913年。) or (蝴蝶有10条腿。)) or (水星是距离太阳第4近的行星。)) or (新西兰的首都是阿姆斯特丹。))) or ((not ((-8 - 5) <= (4 * -9 * -8 * -5))) or (((20 - 18) != (-5 * -9 + 6 * -5)) or (not not (not ((48 % 4) > (19 - -6))))))
B. (((not not ((... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 54069573,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (((((2 ** 2) == (-3 * -8 + -1 * -7)) and ((5 + -13) >= (-2 - 6)))... |
logic-v2 | 下面是几个布尔表达式：
A. not ((not not (((406是斐波那契数。) and (not not (意大利位于南极洲。))) or (not (not (1916年是闰年。))))) or ((not (((哥伦布到达美洲发生在1490年。) or (俄罗斯的货币是卢布。)) or (not (第一次世界大战开始发生在1912年。)))) or ((((1920年奥运会在慕尼黑举办。) and ((19 - 10) <= (5 ** 1))) or ((60是质数。) and ((4 * -5 + -5 * 0) > (-1 * -7 - -10 * -9)))) and (not (not not (三月有31天... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 87500540,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not ((not not (((406是斐波那契数。) and (not not (意大利位于南极洲。))) or (not... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (-9 * -1) == (-6 * 1 - -8 * 9)
B. not not ((2016年奥运会在里约热内卢举办。) and ((-4 * 0 - 0 * 2) <= (-7 - -13)))
C. (((12 + 12) == (3 + 9)) and (日本的首都是华沙。)) and (((-3 + 2) > (8 + -12)) or (银的化学符号是Fe。))
哪些选项的值为真？请列出所有为真的选项标识，用逗号分隔，填入 \boxed{} 中。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 21899942,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (-9 * -1) == (-6 * 1 - -8 * 9)\nB. not not ((2016年奥运会在里... |
logic-v2 | Analyze these boolean expressions:
A. not not (((((3 % 9) <= (-12 + -18)) or (((13 - -2) != (3 ** 3)) or (Sound cannot travel through a vacuum.))) or ((not not ((5 ** 3) < (-14 - 13))) and ((1969 is a leap year.) or ((3 ** 3) < (-10 * -9 - -3 * 3))))) and ((not ((The currency of Indonesia is the Dollar.) and ((3 ** 3)... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 34109894,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not not (((((3 % 9) <= (-12 + -18)) ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((((((-4 * -8 + 2 * 6) == (-7 + -11)) and ((A dragonfly is an insect.) and (A octopus has 100 legs.))) or (not (The currency of Czech Republic is the Koruna.))) and (not (not (The chemical symbol for Sulfur is P.)))) and (not not ... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 51305913,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 检验这些表达式：
A. (((((哥伦布到达美洲发生在1494年。) and ((30 % 8) >= (34 % 7))) and (((1 - 20) <= (5 ** 2) <= (-10 - -10)) and ((0 * 10 * -6 * 6) > (-10 + 20)))) or (121的平方根是11。)) and (((not (地球是距离太阳第7近的行星。)) or (((15 * -4) < (12 + 4)) or (第一部iPhone发布发生在2007年。))) and ((12 - 15) == (13 * -9)))) and (not (not ((not not ((-6 - 2) == (-2 ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 57832738,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((((哥伦布到达美洲发生在1494年。) and ((30 % 8) >= (34 % 7))) and (((1 - 20) ... |
logic-v2 | Evaluate each expression below:
A. not not (not (((The 1964 Olympics were held in Moscow.) or ((not not ((15 - 18) == (-8 + -5))) or ((3 + 0) >= (-20 * -7)))) and (The 1968 Olympics were held in Seoul.) and ((not not ((35 % 10) > (-4 + 5))) or (not not (Humans have five fingers on each hand.)) or ((The 1904 Olympics w... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 11156836,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not (not (((The 1964 Olympics were ... |
logic-v2 | Consider the following logical expressions:
A. ((((77 is a perfect square.) and (((-10 * -7 * 10 * -8) < (6 + -9)) and (The chemical symbol for Chromium is C.))) or (158 is an even number.)) or ((-10 * -10) <= (-11 * 11) <= (4 ** 1)) or ((not not (((14 - -6) >= (-4 + -15)) and (Oil is a liquid at room temperature.))) ... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 25644460,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. ((((77 is a perfect square.... |
logic-v2 | 考虑以下布尔表达式：
A. (2 + 18) == (-1 * -20)
B. (not not (铁在常温下是气体。)) or (((-1 - -13) > (18 - 10)) and (英国位于欧洲。))
C. not (人体有206块骨头。)
D. (((2 % 4) < (-8 * 6 * -4 * 2)) or (2012年奥运会在圣路易斯举办。)) and ((46 % 2) == (50 % 2))
E. 锰的化学符号是Zn。
F. ((-1 + -19) == (3 ** 3)) or (((5 * 9 + -2 * 0) <= (9 + 9)) and (八月有30天。))
G. (2 - 10) <= (4 ... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 30588154,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. (2 + 18) == (-1 * -20)\nB. (not not (铁在常温下是气体。)) or (((-1 - ... |
logic-v2 | 审视以下逻辑表达式：
A. not not (not ((金星是距离太阳第2近的行星。) and ((((0 - -9) >= (-8 * -8 - -5 * -2)) and (尼日利亚位于南极洲。)) and ((泰国位于亚洲。) and ((3 - -5) > (49 % 10))))))
B. ((not not (not ((18 * -5) != (-20 - -19)))) and (not not (汞的化学符号是Si。)) and ((not not (((-15 + 0) < (-6 - 5)) or ((7 * 7 * 0 * 10) < (-11 * -15) < (17 - -3)))) or ((((4... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 37009181,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not not (not ((金星是距离太阳第2近的行星。) and ((((0 - -9) >= (-8 * -8 - -... |
logic-v2 | Consider the following logical expressions:
A. not not ((not (2020 is a leap year.)) and ((Mars is the closest planet to the Sun.) and (60 is a prime number.)))
B. ((The human body has 206 bones.) and (The 1952 Olympics were held in Berlin.)) and (((The chemical symbol for Iron is Fe.) and (Argentina is in Africa.)) a... | {
"game_data": {
"answer": "C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 98268832,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not not ((not (2020 is a leap... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not ((((not not (A shark is a fish.)) or ((The capital of Finland is Helsinki.) and ((-4 * 1 - 0 * -3) < (-3 + 17)))) or ((not not ((19 * 1) > (8 + 14))) and (((6 * -10 * -7 * 6) == (5 ** 3)) and (Light travels faster than sound.)))) or (The chemical symbol for Ti... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 61793676,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not ((((not not (A shar... |
logic-v2 | Review these logical expressions:
A. (not not (not not ((not not (((14 - 17) < (-6 - 10)) or (The capital of Denmark is Oslo.))) or (United States is in North America.)))) and (((((not not ((-5 * 8 - 10 * -7) <= (12 + 2) <= (-6 * -14))) or ((18 * -20) < (8 - 14))) and (not (not (The chemical symbol for Manganese is Al... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 74020416,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. (not not (not not ((not not (((14 - 17)... |
logic-v2 | 考虑以下布尔表达式：
A. ((袋鼠有4条腿。) and ((2020年奥运会在雅典举办。) and (泰坦尼克号沉没发生在1912年。))) or (((-6 * 2 * -6 * -1) <= (0 - -9)) and (南非位于欧洲。)) or ((天王星是距离太阳第6近的行星。) and ((-9 * -9 - 4 * -3) != (13 - -7)))
B. ((((3 + -2) != (-10 * -3 - 2 * 1)) and ((15 - 1) <= (-13 - 18) <= (11 * 6))) or (not ((15 - -16) < (16 % 10)))) and (((金在常温下是固体。) a... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 71882745,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((袋鼠有4条腿。) and ((2020年奥运会在雅典举办。) and (泰坦尼克号沉没发生在1912年。))) or (... |
logic-v2 | Given the following boolean expressions:
A. not (not (not not (not (not not (not not (A day on Earth is 24 hours.))))))
B. (not not (not ((The capital of Canada is Ottawa.) or ((A dog is a mammal.) or (((0 * -2 - -9 * -1) < (17 - -9)) or ((1 % 5) > (-13 + 17))))))) and (not (not (not ((((-16 - 4) < (9 * 5 + 4 * -4)) o... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 61150190,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not (not (not not (not (not not ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (((((10 - -13) <= (6 * 15) <= (-13 - 12)) or (not ((-16 - -18) >= (-7 * 0 * -5 * 5)))) and ((43 is less than or equal to 78.) and (((8 + -13) > (4 ** 1)) and (The capital of Japan is Tokyo.)))) and (((-12 * -2) > (10 * -3 + -1 * ... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 56422958,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Study the following logical statements:
A. (not not (not not (((4 ** 2) == (-2 * 2 * -8 * 10)) or ((There are 30 days in April.) and ((3 ** 3) <= (2 * -17) <= (6 * 8 - 9 * 5)))))) or (((not (There are 29 days in April.)) or (A cockroach is an insect.)) or ((The chemical symbol for Zinc is Zn.) and (not ((4 * -6 + -3 *... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 89529272,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not not (not not (((4 ** 2) == (-2... |
logic-v2 | Study the following logical statements:
A. not not (not not (((((A owl is a bird.) or ((-3 + -5) > (5 * -10 - -3 * -1))) or ((China is in North America.) or ((7 * 8 * 0 * -8) < (3 + -6) < (-5 * 16)))) and (Humans have three lungs.) and (not (((6 * 1 * 5 * -3) <= (10 - 1)) or ((0 - 16) != (-3 * -4 + -1 * -5))))) and (n... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 36714408,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not not (not not (((((A owl is a bird... |
logic-v2 | Consider the following logical expressions:
A. not ((((The chemical symbol for Calcium is Na.) or ((The chemical symbol for Calcium is Ti.) or (((-2 * 11) != (-8 * -8 + 10 * -3)) or ((-19 + 7) <= (-1 + 3) <= (-19 + -10))))) and ((((The capital of Indonesia is Jakarta.) or ((-3 - -8) < (17 - 11))) or (Spain is in Ocean... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 72037067,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not ((((The chemical symbol f... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((not ((1941 is a leap year.) or (((-9 * -9) < (-5 * -19)) or (The 1960 Olympics were held in Rome.)))) and (((-6 - -5) < (8 * 5) < (-16 * -19)) and ((-6 * -19) > (2 ** 2)))) or (not (((645 is a Fibonacci number.) or ((16 * -14) == (... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 20348901,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Study the following logical statements:
A. not ((((46 % 6) != (-20 + 5)) and (The 1960 Olympics were held in Rome.)) and (not (Carbon dioxide is a gas at room temperature.)))
B. ((-10 * -19) > (2 * -5 * 6 * 9)) and (not ((18 % 5) < (6 - 1)))
C. ((12 + -7) != (-6 + 6)) or (Gold is a solid at room temperature.)
Which s... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 4485074,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not ((((46 % 6) != (-20 + 5)) and (T... |
logic-v2 | 给定以下布尔表达式：
A. (1 % 4) <= (-4 * 1 * -6 * -6)
B. (((9 + 19) <= (-5 * 15) <= (12 - -15)) and ((15 * 4) > (2 ** 1))) or (((8 * -8 * 10 * 7) < (-5 * 4 - 3 * -6)) or ((-19 + -6) == (-16 - -2)))
C. not not (氧的化学符号是O。)
D. ((1908年奥运会在巴黎举办。) and (尼日利亚位于非洲。)) and (马来西亚的首都是渥太华。)
E. not (not ((-17 + 7) >= (-14 * -13)))
选出所有值为 Tru... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 88005244,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (1 % 4) <= (-4 * 1 * -6 * -6)\nB. (((9 + 19) <= (-5 * 15) <= (12... |
logic-v2 | 考虑以下布尔表达式：
A. (((十月有31天。) and (not not ((-16 + 6) <= (-12 + -15) <= (20 % 9)))) or ((not (not (金的化学符号是Au。))) and (((5 ** 2) < (-10 * -6)) and (1903年是闰年。)) and (not (not not (铁的化学符号是Na。))))) or (((not not ((光速比声速快。) and ((-8 * -5) <= (3 ** 2) <= (5 + 6)))) or (水在常温下是固体。) or (not (not (蚊子是昆虫。)))) or (((1980年奥运会在东京举办。) o... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 38046852,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (((十月有31天。) and (not not ((-16 + 6) <= (-12 + -15) <= (20 % 9)... |
logic-v2 | Examine these expressions:
A. not not (((9 - 16) == (7 * 2)) or (The United States declared independence occurred in 1776.))
B. ((((5 * -4 - 5 * 4) < (-13 - 7) < (2 * -13)) or ((There are 28 days in February.) and ((5 * -7 * 2 * -8) >= (11 + 0)))) or (not (The 1968 Olympics were held in Helsinki.)) or ((((4 * -15) < (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 27037057,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (((9 - 16) == (7 * 2)) or (The United ... |
logic-v2 | 审视以下逻辑表达式：
A. ((((金在常温下是固体。) or (声音在真空中传播更快。)) or ((-9 * -1 + 3 * -6) >= (14 + 11))) or ((20 - 8) != (33 % 1))) or (not ((第二次世界大战开始发生在1939年。) and ((袋鼠有0条腿。) or ((-17 - 6) <= (-4 + 4)))))
B. not (((not not (章鱼有8条腿。)) and (not ((-16 * -13) < (-4 * 5 - 4 * 4)))) or (((-3 * 8 - -9 * 6) >= (8 + -2)) and ((-4 * -10 + 3 * -7... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 31702468,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((((金在常温下是固体。) or (声音在真空中传播更快。)) or ((-9 * -1 + 3 * -6) >= (14 +... |
logic-v2 | 给定以下布尔表达式：
A. (-19 + -2) <= (6 + 11) <= (9 + -18)
B. ((11 * -16) >= (-3 + 13)) or (not (锡的化学符号是Sn。))
C. ((变色龙是鸟类。) and ((15 * 7) <= (6 * 9 - -2 * -4))) or (not (2081年是闰年。))
D. (not not ((-10 * 9 + 10 * 9) <= (3 % 8))) or (人类只使用了大脑的10%。)
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 4691576,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (-19 + -2) <= (6 + 11) <= (9 + -18)\nB. ((11 * -16) >= (-3 + 13))... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 太平洋是最大的海洋。
B. 60是质数。
C. (-1 * -1 + -3 * 8) <= (2 + 0)
D. (not not (俄罗斯位于南美洲。)) and (not (2000年奥运会在赫尔辛基举办。))
E. (42大于38。) or ((金星是距离太阳第2近的行星。) or ((15 - 0) == (17 + 1)))
F. not ((水在常温下是液体。) or ((15 - 17) > (17 % 1)))
G. (not not ((-10 * 7 * 6 * -10) == (-10 - 13))) or (not not (埃及位于亚洲。))
H. (no... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 2036332,
"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. 太平洋是最大的海洋。\nB. 60是质数。\nC. (-1 * -1 + -3 * 8) <= (2 +... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((4 * -5 + 4 * 1) <= (12 * -14))
B. ((19 * 13) != (1 ** 1)) or ((-11 + -10) < (9 + -7))
C. (not not (Saudi Arabia is in Asia.)) or (((1 ** 3) <= (-10 * -7 + -10 * 9) <= (0 * 9 * 9 * -3)) and (Spiders are insects.))
Find all expressions that are True. Answer in... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 10014837,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((4 * -5 + 4 * 1) <=... |
logic-v2 | 审视以下逻辑表达式：
A. 阿根廷位于南美洲。
B. (钙的化学符号是Sn。) or ((十月有31天。) and ((29 % 4) <= (20 - 4)))
C. (9 + -13) < (-6 + -3)
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 95899512,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. 阿根廷位于南美洲。\nB. (钙的化学符号是Sn。) or ((十月有31天。) and ((29 % 4) <= (20 - ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. The currency of Brazil is the Real.
B. not not ((2 ** 2) != (-2 + 10))
C. ((86 is a prime number.) or ((5 ** 1) == (-16 - 6))) and ((The currency of Poland is the Zloty.) and (A fish has 0 legs.))
D. not ((The currency of Australia is the Peso.) or ((9 * -4 * 2 * -4) <... | {
"game_data": {
"answer": "A,B,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 71485885,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. The currency of Brazil i... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((钻石在常温下是固体。) and ((-5 + 10) != (-3 * 0 - -8 * 8))) or ((33 % 4) <= (2 * 4 * -1 * -6))) or (土星是距离太阳第6近的行星。)) and ((泰国的首都是曼谷。) and ((瑞士的首都是利马。) or ((12 * 15) != (-18 - -18)))) and (not not (美国的货币是美元。))) or (((not not (85大于19。)) and ((印度尼西亚位于亚洲。) or (一月有29天。))) or ((狗有4条腿。) or ((麻雀是鸟类。) or (976是斐波... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 94943038,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((钻石在常温下是固体。) and ((-5 + 10) != (-3 * 0 - -8 * 8)))... |
logic-v2 | Here are some boolean expressions to evaluate:
A. Sound travels faster in a vacuum.
B. ((Mercury is a solid at room temperature.) or (Air is a gas at room temperature.)) or (The capital of Portugal is Lisbon.)
C. ((17 % 3) >= (2 * 5 - 3 * -4)) and (((-13 * -11) <= (4 * -8 * -9 * -3)) and ((8 + -12) <= (4 - 19)))
D. no... | {
"game_data": {
"answer": "B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 86539091,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. Sound travels faster in a ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((哥伦布到达美洲发生在1492年。) or ((3 - 19) != (-13 * 2)))
B. (not not (((-3 * 20) < (8 * 8)) and (法国位于大洋洲。))) and (not ((铁在常温下是固体。) or (声音无法在真空中传播。)))
C. ((((7 - -16) != (-13 + -12)) and ((5 * 0 * -2 * 0) < (1 ** 1))) and ((莱特兄弟首次飞行发生在1903年。) or ((-8 * 9 + -6 * -3) != (11 + 6)))) or (1957年是闰年。)
... | {
"game_data": {
"answer": "A,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 96692938,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((哥伦布到达美洲发生在1492年。) or ((3 - 19) != (-13 ... |
logic-v2 | 给定以下布尔表达式：
A. 1976年奥运会在柏林举办。
B. ((3 % 5) > (-13 * -13)) or (not not (钻石由碳元素组成。))
C. (not not ((-6 * -9 * 8 * 10) <= (-1 - -5))) and ((印度的货币是兹罗提。) or (鲱鱼是鱼类。))
D. (印度尼西亚位于欧洲。) or ((锌的化学符号是Zn。) or (企鹅能飞翔。))
E. (((-1 + -5) > (-6 * 3 + 9 * -6)) or ((-10 * -8) < (44 % 6))) or ((声音在真空中传播更快。) and ((2 * -16) < (3 * 8 + 8 * -6... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 86413148,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 1976年奥运会在柏林举办。\nB. ((3 % 5) > (-13 * -13)) or (not not (钻石由碳元素... |
logic-v2 | Study the following logical statements:
A. (-4 * 8 * -4 * -6) == (-6 * -9 - 8 * -8)
B. (((16 - -17) < (43 % 7) < (-19 * -5)) or ((23 % 4) <= (-10 * 5 + -10 * 9) <= (49 % 2))) and (39 is less than or equal to 46.)
C. ((The chemical symbol for Cobalt is Co.) and (Helium is a gas at room temperature.)) or (The 1964 Olymp... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 20304100,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (-4 * 8 * -4 * -6) == (-6 * -9 - 8 ... |
logic-v2 | Evaluate each expression below:
A. not (not not (((4 + 16) != (0 + -11)) or (A iguana is a reptile.)))
B. ((not (2007 is a leap year.)) or (((The capital of Argentina is Buenos Aires.) and (The currency of Czech Republic is the Koruna.)) and (not (The currency of South Korea is the Franc.)))) or (((-16 + 16) >= (1 % 5... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 67711998,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not not (((4 + 16) != (0 + -11)) or ... |
logic-v2 | 评估以下每个表达式：
A. 汞的化学符号是Cl。
B. (not not ((6 * 13) <= (17 - -13) <= (-1 + 1))) and (((18 % 3) == (4 ** 3)) and (铅的化学符号是Cr。))
C. ((德国位于欧洲。) or ((-7 * 3 - 7 * 8) < (8 + -19))) and ((龙虾有4条腿。) or (法国大革命开始发生在1789年。))
D. ((6 * 8) < (-3 * 4 - -1 * -9)) and (((15 - 1) != (14 % 1)) or ((32 % 7) <= (17 + 17)))
E. ((1932年奥运会在洛杉矶举办。)... | {
"game_data": {
"answer": "C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 82621126,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. 汞的化学符号是Cl。\nB. (not not ((6 * 13) <= (17 - -13) <= (-1 + 1))... |
logic-v2 | 研究以下逻辑语句：
A. not not ((土星是距离太阳第3近的行星。) and (985是斐波那契数。))
B. (地球是距离太阳第3近的行星。) or ((1993年是闰年。) or (1968年奥运会在墨西哥城举办。))
C. ((20 + -19) <= (-7 * 7 * 8 * 0)) or (印度的货币是卢比。)
D. (((3 ** 1) > (3 - 3)) or (阿根廷的货币是卢布。)) and ((古巴的首都是哈瓦那。) or ((3 - -8) >= (14 * -17)))
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": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 16187204,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not not ((土星是距离太阳第3近的行星。) and (985是斐波那契数。))\nB. (地球是距离太阳第3近的行星。... |
logic-v2 | Evaluate each expression below:
A. not not (not not ((not (The 1964 Olympics were held in Tokyo.)) or (not not ((3 ** 1) <= (17 - -16)))))
B. not not ((((3 ** 3) > (6 * 2 + -6 * 6)) or (not not (The capital of Australia is Berlin.))) and ((Humans have three lungs.) or ((19 - 3) != (5 * -8 + 5 * 2))) and ((not (The 196... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 44310476,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (not not ((not (The 1964 Olympics w... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((-6 * 8 * -2 * 5) <= (-5 * -2 + 5 * 3) <= (-18 - -15)) and (((15 * -1) != (1 ** 2)) or (Whales are fish.)) and (The capital of Philippines is Lima.)) and (((1982 is a leap year.) and ((The 1996 Olympics were held in Atlanta.) or ((5 ** 3) > (16 * 11)))) and ((The Tit... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 65492867,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((-6 * 8 * -2 * 5) <= (-5 *... |
logic-v2 | 研究以下逻辑语句：
A. not not ((1 * 2 - 2 * 3) < (-10 - -6))
B. ((((2 + -9) > (-18 - 7)) and (大象有4条腿。)) or (酒精在常温下是液体。)) and (((法国的首都是加拉加斯。) and ((-16 + -16) != (-2 - -13))) or ((2072年是闰年。) and (泰国的货币是克朗。)))
C. 植物通过光合作用产生氧气。
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 21683434,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not ((1 * 2 - 2 * 3) < (-10 - -6))\nB. ((((2 + -9) > (-18 - 7))... |
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